Optical System and Optical Instrument, Image Pickup Apparatus, and Image Pickup System Using the Same

BACKGROUND OF THE INVENTION

1. Field of the Invention

The present invention relates to an optical system, and an optical instrument, an image pickup apparatus, and an image pickup system using the same.

2. Description of the Related Art

In a case of observing a minute sample, a method in which, first, the overall sample is observed, and a region to be observed in detail is identified, and thereafter the region to be observed in detail is magnified and observed, has hitherto been adopted. As an image pickup apparatus to be used in such method, an image pickup apparatus which magnifies digitally an image that has been captured, and displays the magnified image is available. As an optical system to be used in such image pickup apparatus, an optical system described in Japanese Patent Application Laid-open Publication number 2012-173491 is available. Digital magnification of image is called as digital zooming.

Moreover, if conventional optical systems, such as optical systems for microscope, are differentiated according to a difference of a type of image formation, they will be divided into two types namely, optical systems of finite correction type and optical systems of infinite correction type. In the optical system of finite correction type, an object image is formed at a finite distance by a microscope objective. Whereas, in the optical system of infinite correction type, light emerged from the microscope objective becomes a substantially parallel light beam. Therefore, in the optical system of infinite correction type, an object image is formed by combining the microscope objective and a tube lens.

As aforementioned, in a microscope optical system of the infinite correction type, a microscope objective by which, the light emerged becomes substantially parallel light beam, has been used. As an example of the microscope objective, a microscope objective described in Japanese Patent Application Laid-open Publication No. 2008-185965 is available. The microscope objective described in Japanese Patent Application Laid-open Publication No. 2008-185965 has a numerical aperture (NA) of an extremely large value on an object side (sample side), such that a numerical aperture on the object side is 0.8. This microscope objective is used with the tube lens, and at this time, if a numerical aperture on an image side is small, a bright and sharp image cannot be formed.

SUMMARY OF THE INVENTION

An optical system according to an aspect of the present invention is an optical system which forms an optical image on an image pickup element including a plurality of pixels arranged in rows two-dimensionally, which converts a light intensity to an electric signal, and a plurality of color filters disposed on the plurality of pixels respectively, comprising in order from an object side,

a first lens unit having a positive refractive power, which includes a plurality of lenses,

a stop, and

a second lens unit which includes a plurality of lenses, wherein

lens units which form the optical system include the first lens unit and the second lens unit, and

the first lens unit includes a first object-side lens which is disposed nearest to an object, and

the second lens unit includes a second image-side lens which is disposed nearest to an image, and

the first lens unit includes a negative lens, and a positive lens which is disposed on the object side of the negative lens, and

the following conditional expressions (15), (16), (19), and (20) are satisfied:

β≦−1.1 (15)

0.08<NA (16)

1.0<WD/BF (19)

0.5<2×(WD×tan(sin⁻¹NA)+Y_obj)/φ_s<4.0 (20)

where,

β denotes an imaging magnification of the optical system,

NA denotes a numerical aperture on the object side of the optical system,

WD denotes a distance on an optical axis from the object up to an object-side surface of the first object-side lens,

BF denotes a distance on the optical axis from an image-side surface of the second image-side lens up to the image,

Y_objdenotes a maximum object height, and

φ_sdenotes a diameter of the stop.

Moreover, an optical system according to another aspect of the present invention is an optical system which forms an optical image on an image pickup element including a plurality of pixels arranged in rows two-dimensionally, which converts alight intensity to an electric signal, and a plurality of color filters disposed on the plurality of pixels respectively, comprising in order from an object side,

a first lens unit which includes a plurality of lenses,

a stop, and

a second lens unit which includes a plurality of lenses, wherein

lens units which form the optical system include the first lens unit and the second lens unit, and

the first lens unit includes a first object-side lens which is disposed nearest to an object, and

the second lens unit includes a second image-side lens which is disposed nearest to an image, and

the following conditional expressions (16), (21), (23-1), and (24-1) are satisfied:

0.08<NA (16)

0.01<D_max/φ_s<3.0 (21)

0.6≦L_L/D_oi (23-1)

0.015<1/νd_min−1/νd_max (24-1)

where,

NA denotes a numerical aperture on the object side of the optical system,

D_maxdenotes a maximum distance from among distances on an optical axis of adjacent lenses in the optical system,

φ_sdenotes a diameter of the stop,

L_Ldenotes a distance on the optical axis from an object-side surface of the first object-side lens up to an image-side surface of the second image-side lens,

D_oidenotes a distance on the optical axis from the object to the image,

νd_mindenotes a smallest Abbe's number from among Abbe's numbers for lenses forming the optical system, and

νd_maxdenotes a largest Abbe's number from among the Abbe's numbers for lenses forming the optical system.

An optical system according to still another aspect of the present invention comprising in order from an object side,

a lens unit Gf having a positive refractive power,

a stop, and

a lens unit Gr having a positive refractive power, and

the following conditional expressions (4-1), (5), (9-1), and (13) are satisfied:

0.08<NA, 0.08<NA′ (4-1)

−2<β<−0.5 (5)

0<d₁/Σd<0.2 (9-1)

−20<Δf_cd/Σd<20 (13)

where,

NA denotes a numerical aperture on the object side of the optical system,

NA′ denotes a numerical aperture on an image side of the optical system,

β denotes a projection magnification of the optical system,

d₁denotes a distance on an optical axis from a surface positioned nearest to the image side of the lens unit Gf up to a surface positioned nearest to the object side of the lens unit Gr,

Σd denotes a sum total of lens thickness on the optical axis of an overall optical system,

εd denotes an Airy disc radius for a d-line which is determined by the numerical aperture on the image side of the optical system, and

Δf_cddenotes a difference in a focal position on a C-line and a focal position on the d-line, which is a difference in positions at which light is focused when parallel light is made to be incident on the lens unit Gr from the stop side.

Moreover, an optical system according to still another aspect of the present invention comprising in order from an object side,

a lens unit Gf having a positive refractive power,

a stop, and

a lens unit Gr having a positive refractive power, and the following conditional expression (4-1), (5), (10-1), and (13) are satisfied:

0.08<NA, 0.08<NA′ (4-1)

−2<β<−0.5 (5)

0<d₂/Σd<2 (10-1)

−20<Δf_cd/Σd<20 (13)

where,

NA denotes a numerical aperture on the object side of the optical system,

NA′ denotes a numerical aperture on an image side of the optical system,

β denotes a projection magnification of the optical system,

d₂denotes a distance on an optical axis from a front principal point of the lens unit Gf up to a rear principal point of the lens unit Gr,

Σd denotes a sum total of lens thickness on the optical axis of an overall optical system,

εd denotes an Airy disc radius for a d-line which is determined by the numerical aperture on the image side of the optical system, and

Moreover, an optical system according to still another aspect of the present invention is an optical system which forms an optical image on an image pickup element including a plurality of pixels arranged in rows two-dimensionally, which converts a light intensity to an electric signal, and a plurality of color filters disposed on the plurality of pixels respectively, and for which, a pitch of pixels is not more than 5.0 μm, comprising in order from an object side,

a first lens unit which includes a plurality of lenses,

a stop, and

a second lens unit which includes a plurality of lenses, wherein

lens units which form the optical system include the first lens unit and the second lens unit, and

the first lens unit includes a first object-side lens which is disposed nearest to an object, and

the second lens unit includes a second image-side lens which is disposed nearest to an image, and

the following conditional expressions (16), (18), and (25) are satisfied:

0.08<NA (16)

−30<(ΔD_G2dC+(ΔD_G1dC×β_G2C²/(1+β_G2C×ΔD_G1dC/f_G2C)))/ε_d<30 (18)

0.15<D_os/D_oi<0.8 (25)

where,

NA denotes a numerical aperture on the object side of the optical system,

ΔD_G1dCdenotes a distance from a position of an image point P_G1on a d-line up to a position of an image point on a C-line, at an image point of the first lens unit with respect to an object point on an optical axis,

ΔD_G2dCdenotes a distance from a position of an image point on the d-line up to a position of an image point on the C-line, at an image point of the second lens unit, when the image point P_G1is let to be an object point of the second lens unit,

ΔD_G1dCand ΔD_G2dCare let to be positive in a case in which, the position of the image point on the C-line is on the image side of the position of the image point on the d-line, ΔD_G1dCand ΔD_G2dCare let to be negative in a case in which, the position of the image point on the C-line is on the object side of the position of the image point on the d-line,

β_G2Cdenotes an imaging magnification for the C-line of the second lens unit when the image point P_G1is let to be the object point of the second lens unit,

f_G2Cdenotes a focal length for the C-line of the second lens unit,

ε_ddenotes an Airy disc radius for the d-line, which is determined by the numerical aperture on the image side of the optical system,

D_osdenotes a distance on the optical axis from the object up to the stop, and

D_oidenotes a distance on the optical axis from the object up to the image, and

the object point and the image point are points on the optical axis, and also include cases of being a virtual object point and a virtual image point.

Moreover, a microscope which is an example of an optical instrument of the present invention, or an image pickup apparatus of the present invention comprises, the optical system described above, and an image pickup element.

Furthermore, an image pickup system of the present invention comprises, the image pickup apparatus described above, a stage which holds an object, and an illuminating unit which illuminates the object.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 is a cross-sectional view along an optical axis showing an optical arrangement of an optical system according to an example 1;

FIG. 2A, FIG. 2B, FIG. 2C, and FIG. 2D are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to the example 1;

FIG. 3 is a cross-sectional view along an optical axis showing an optical arrangement of an optical system according to an example 2;

FIG. 4A, FIG. 4B, FIG. 4C, and FIG. 4D are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to the example 2;

FIG. 5 is a cross-sectional view along an optical axis showing an optical arrangement of an optical system according to an example 3;

FIG. 6A, FIG. 6B, FIG. 6C, and FIG. 6D are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to the example 3;

FIG. 7 is a cross-sectional view along an optical axis showing an optical arrangement of an optical system according to an example 4;

FIG. 8A, FIG. 8B, FIG. 8C, and FIG. 8D are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to the example 4;

FIG. 9 is a cross-sectional view along an optical axis showing an optical arrangement of an optical system according to an example 5;

FIG. 10A, FIG. 10B, FIG. 10C, and FIG. 10D are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to the example 5;

FIG. 11 is a cross-sectional view along an optical axis showing an optical arrangement of an optical system according to an example 6;

FIG. 12A, FIG. 12B, FIG. 12C, and FIG. 12D are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to the example 6;

FIG. 13 is a cross-sectional view along an optical axis showing an optical arrangement of an optical system according to an example 7;

FIG. 14A, FIG. 14B, FIG. 14C, and FIG. 14D are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to the example 7;

FIG. 15A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 15B, FIG. 15C, FIG. 15D, and FIG. 15E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 8;

FIG. 16A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 16B, FIG. 16C, FIG. 16D, and FIG. 16E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 9;

FIG. 17A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 17B, FIG. 17C, FIG. 17D, and FIG. 17E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 10;

FIG. 18A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 18B, FIG. 18C, FIG. 18D, and FIG. 18E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 11;

FIG. 19A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 19B, FIG. 19C, FIG. 19D, and FIG. 19E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 12;

FIG. 20A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 20B, FIG. 20C, FIG. 20D, and FIG. 20E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 13;

FIG. 21A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 21B, FIG. 21C, FIG. 21D, and FIG. 21E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 14;

FIG. 22A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 22B, FIG. 22C, FIG. 22D, and FIG. 22E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 15;

FIG. 23A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 23B, FIG. 23C, FIG. 23D, and FIG. 23E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 16;

FIG. 24A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 24B, FIG. 24C, FIG. 24D, and FIG. 24E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 17;

FIG. 25A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 25B, FIG. 25C, FIG. 25D, and FIG. 25E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 18;

FIG. 26A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 26B, FIG. 26C, FIG. 26D, and FIG. 26E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 19;

FIG. 27A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 27B, FIG. 27C, FIG. 27D, and FIG. 27E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 20;

FIG. 28A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 28B, FIG. 28C, FIG. 28D, and FIG. 28E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 21;

FIG. 29A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 29B, FIG. 29C, FIG. 29D, and FIG. 29E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 22;

FIG. 30A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 30B, FIG. 30C, FIG. 30D, and FIG. 30E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 23;

FIG. 31A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 31B, FIG. 31C, FIG. 31D, and FIG. 31E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 24;

FIG. 32A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 32B, FIG. 32C, FIG. 32D, and FIG. 32E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 25;

FIG. 33A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 33B, FIG. 33C, FIG. 33D, and FIG. 33E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 26;

FIG. 34A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 34B, FIG. 34C, FIG. 34D, and FIG. 34E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 27;

FIG. 35A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 35B, FIG. 35C, FIG. 35D, and FIG. 35E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 28;

FIG. 36A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 36B, FIG. 36C, FIG. 36D, and FIG. 36E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 29;

FIG. 37A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 37B, FIG. 37C, FIG. 37D, and FIG. 37E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 30;

FIG. 38A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 38B, FIG. 38C, FIG. 38D, and FIG. 38E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 31;

FIG. 39A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 39B, FIG. 39C, FIG. 39D, and FIG. 39E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 32;

FIG. 40A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 40B, FIG. 40C, FIG. 40D, and FIG. 40E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 33;

FIG. 41A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 41B, FIG. 41C, FIG. 41D, and FIG. 41E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 34;

FIG. 42A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 42B, FIG. 42C, FIG. 42D, and FIG. 42E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 35;

FIG. 43A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 43B, FIG. 43C, FIG. 43D, and FIG. 43E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 36;

FIG. 44A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 44B, FIG. 44C, FIG. 44D, and FIG. 44E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 37;

FIG. 45A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 45B, FIG. 45C, FIG. 45D, and FIG. 45E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 38;

FIG. 46A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 46B, FIG. 46C, FIG. 46D, and FIG. 46E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 39;

FIG. 47A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 47B, FIG. 47C, FIG. 47D, and FIG. 47E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 40;

FIG. 48A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 48B, FIG. 48C, FIG. 48D, and FIG. 48E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 41;

FIG. 49A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 49B, FIG. 49C, FIG. 49D, and FIG. 49E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 42;

FIG. 50A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 50B, FIG. 50C, FIG. 50D, and FIG. 50E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 43;

FIG. 51A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 51B, FIG. 51C, FIG. 51D, and FIG. 51E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 44;

FIG. 52A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 52B, FIG. 52C, FIG. 52D, and FIG. 52E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 45;

FIG. 53A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 53B, FIG. 53C, FIG. 53D, and FIG. 53E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 46;

FIG. 54A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 54B, FIG. 54C, FIG. 54D, and FIG. 54E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 47;

FIG. 55A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 55B, FIG. 55C, FIG. 55D, and FIG. 55E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 48;

FIG. 56A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 56B, FIG. 56C, FIG. 56D, and FIG. 56E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 49;

FIG. 57A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 57B, FIG. 57C, FIG. 57D, and FIG. 57E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 50;

FIG. 58A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 58B, FIG. 58C, FIG. 58D, and FIG. 58E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 51;

FIG. 59A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 59B, FIG. 59C, FIG. 59D, and FIG. 59E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 52;

FIG. 60A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 60B, FIG. 60C, FIG. 60D, and FIG. 60E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 53;

FIG. 61A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 61B, FIG. 61C, FIG. 61D, and FIG. 61E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 54;

FIG. 62A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 62B, FIG. 62C, FIG. 62D, and FIG. 62E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 55;

FIG. 63A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 63B, FIG. 63C, FIG. 63D, and FIG. 63E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 56;

FIG. 64A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 64B, FIG. 64C, FIG. 64D, and FIG. 64E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 57;

FIG. 65A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 65B, FIG. 65C, FIG. 65D, and FIG. 65E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 58;

FIG. 66A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 66B, FIG. 66C, FIG. 66D, and FIG. 66E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 59;

FIG. 67A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 67B, FIG. 67C, FIG. 67D, and FIG. 67E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 60;

FIG. 68A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 68B, FIG. 68C, FIG. 68D, and FIG. 68E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 61;

FIG. 69A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 69B, FIG. 69C, FIG. 69D, and FIG. 69E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 62;

FIG. 70A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 70B, FIG. 70C, FIG. 70D, and FIG. 70E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 63;

FIG. 71A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 71B, FIG. 71C, FIG. 71D, and FIG. 71E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 64;

FIG. 72A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 72B, FIG. 72C, FIG. 72D, and FIG. 72E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 65;

FIG. 73A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 73B, FIG. 73C, FIG. 73D, and FIG. 73E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 66;

FIG. 74A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 74B, FIG. 74C, FIG. 74D, and FIG. 74E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 67;

FIG. 75A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 75B, FIG. 75C, FIG. 75D, and FIG. 75E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 68;

FIG. 76A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 76B, FIG. 76C, FIG. 76D, and FIG. 76E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 69;

FIG. 77A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 77B, FIG. 77C, FIG. 77D, and FIG. 77E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 70;

FIG. 78A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 78B, FIG. 78C, FIG. 78D, and FIG. 78E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 71;

FIG. 79A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 79B, FIG. 79C, FIG. 79D, and FIG. 79E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 72;

FIG. 80A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 80B, FIG. 80C, FIG. 80D, and FIG. 80e are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 73;

FIG. 81A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 81B, FIG. 81C, FIG. 81D, and FIG. 81E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 74;

FIG. 82A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 82B, FIG. 82C, FIG. 82D, and FIG. 82E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 75;

FIG. 83A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 83B, FIG. 83C, FIG. 83D, and FIG. 83E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 76;

FIG. 84A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 84B, FIG. 84C, FIG. 84D, and FIG. 84E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 77;

FIG. 85A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 85B, FIG. 85C, FIG. 85D, and FIG. 85E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 78;

FIG. 86A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 86B, FIG. 86C, FIG. 86D, and FIG. 86E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 79;

FIG. 87A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 87B, FIG. 87C, FIG. 87D, and FIG. 87E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 80;

FIG. 88A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 88B, FIG. 88C, FIG. 88D, and FIG. 88E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 81;

FIG. 89A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 89B, FIG. 89C, FIG. 89D, and FIG. 89E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 82;

FIG. 90A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 90B, FIG. 90C, FIG. 90D, and FIG. 90E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 83;

FIG. 91A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 91B, FIG. 91C, FIG. 91D, and FIG. 91E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 84;

FIG. 92A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 92B, FIG. 92C, FIG. 92D, and FIG. 92E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 85;

FIG. 93A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 93B, FIG. 93C, FIG. 93D, and FIG. 93E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 86;

FIG. 94A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 94B, FIG. 94C, FIG. 94D, and FIG. 94E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 87;

FIG. 95A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 95B, FIG. 95C, FIG. 95D, and FIG. 95E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 88;

FIG. 96A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 96B, FIG. 96C, FIG. 96D, and FIG. 96E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 89;

FIG. 97A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 97B, FIG. 97C, FIG. 97D, and FIG. 97E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 90;

FIG. 98A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 98B, FIG. 98C, FIG. 98D, and FIG. 98E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 91;

FIG. 99A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 99B, FIG. 99C, FIG. 99D, and FIG. 99E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 92;

FIG. 100A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 100B, FIG. 100C, FIG. 100D, and FIG. 100E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 93;

FIG. 101A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 101B, FIG. 101C, FIG. 101D, and FIG. 101E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 94;

FIG. 102A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 102B, FIG. 102C, FIG. 102D, and FIG. 102E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 95;

FIG. 103A is a cross-sectional view along an optical axis showing an optical arrangement, and FIG. 103B, FIG. 103C, FIG. 103D, and FIG. 103E are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) respectively, of the optical system according to an example 96;

FIG. 104 is a diagram showing an arrangement of a microscope which is an optical instrument;

FIG. 105 is a diagram showing an arrangement of another microscope which is an optical instrument;

FIG. 106 is a diagram showing an arrangement of still another microscope which is an optical instrument; and

FIG. 107A is a diagram showing an arrangement of still another microscope which is an optical instrument, and FIG. 107B is a diagram showing a state that the microscope is fixed.

DETAILED DESCRIPTION OF THE INVENTION

Prior to description of examples, an action and effect of embodiments according to certain aspects of the present embodiment will be described below. At the time of describing concretely the action and effect of the present embodiment, the description will be made by citing specific examples. However, similar to cases of examples that will be described later, aspects to be exemplified are only some of the aspects included in the embodiment, and there are a large number of variations in those aspects. Consequently, the present invention is not restricted to aspects that will be exemplified.

For instance, in optical systems from an optical system according to a first embodiment up to an optical system according to a seventh embodiment, by imparting a function of an objective lens to a lens unit Gf, and by imparting a function of an image forming lens to a lens unit Gr, it is possible to form an optical system of a microscope as an optical instrument. An embodiment of the microscope will be described later.

In the following description, a ‘sample image’ is let to be an ‘image’ appropriately, and a ‘sample’ is let to be an ‘object’ appropriately.

Moreover, in the following description, a variable (such as, a focal length, an imaging magnification, and a numerical aperture) of which, a value changes with a wavelength, is with reference to a d-line unless specifically noted. Moreover, β is used for a magnification of an overall optical system, but β has been described as a projection magnification or an imaging magnification. Furthermore, optical systems of the following embodiments are optical systems with a fixed focal length. However, an optical system may be equipped with a focusing function.

An optical system according to a first embodiment will be described below. The optical system according to the first embodiment comprises in order from an object side, a lens unit Gf having a positive refractive power, a stop, and a lens unit Gr having a positive refractive power, and includes at least one pair of lenses which satisfies the following conditional expressions (1), (2), and (3), and one lens in the pair of lenses is included in the lens unit Gf, and the other lens in the pair of lenses is included in the lens unit Gr:

−1.1<r_OBf/r_TLr<−0.9 (1)

−1.1<r_OBr/r_TLf<−0.9 (2)

−0.1<(d_OB−d_TL)/(d_OB+d_TL)<0.1 (3)

where,

r_OBfdenotes a paraxial radius of curvature of an object-side surface of the one lens in the pair of lenses,

r_OBrdenotes a paraxial radius of curvature of an image-side surface of the one lens in the pair of lenses,

r_TLfdenotes a paraxial radius of curvature of an object-side surface of the other lens in the pair of lenses,

r_TLrdenotes a paraxial radius of curvature of an image-side surface of the other lens in the pair of lenses,

d_OBdenotes a thickness on the optical axis of the one lens in the pair of lenses, and

d_TLdenotes a thickness on the optical axis of the other lens in the pair of lenses.

The optical system according to the first embodiment includes the lens unit Gf having a positive refractive power, the stop (aperture stop), and the lens unit Gr having a positive refractive power. Moreover, the lens unit Gf is disposed on the object side and the lens unit Gr is disposed on an image side, sandwiching the stop. Furthermore, the optical system has at least one pair of lenses that satisfies conditional expressions (1), (2), and (3).

By at least one pair of lenses satisfying conditional expressions (1), (2), and (3), each of the lens unit Gf and the lens unit Gr has at least one lens of which, a shape is plane-symmetrical with respect to the stop. In other words, in the optical system according to the first embodiment, there is at least one pair of lenses of which, the shape is plane-symmetrical with respect to the stop. Therefore, the optical system has symmetry with respect to the shape of the lens. Accordingly, it is possible to correct favorably, a chromatic aberration of magnification, a distortion, and a coma. Here, the symmetry does not refer only to cases of being completely symmetrical, but also includes cases of being nearly symmetrical.

Moreover, when the numerical aperture on the image side of the optical system is made large, an occurrence of an off-axis aberration is susceptible to be noticeable. However, according to the optical system of the first embodiment, even when the numerical aperture on the image side of the optical system is made large, it becomes easy to suppress the occurrence of the off-axis aberration. As a result, various aberrations are corrected favorably, and a bright and sharp sample image is formed.

An optical system according to a second embodiment will be described below. In the optical system according to the second embodiment, the following conditional expressions (4) and (5) are satisfied:

0.1<NA, 0.1<NA′ (4)

−2<β<−0.5 (5)

where,

NA denotes a numerical aperture on the object side of the optical system,

NA′ denotes a numerical aperture on an image side of the optical system, and

β denotes a projection magnification of the optical system.

By satisfying conditional expressions (4) and (5), it is possible to form a bright and sharp image. Therefore, even if a light intensity of illuminating light or excitation light is small, a bright and sharp image is formed. Moreover, it is possible to make the magnification (projection magnification) of the optical system one time, or close to one time. In this case, by making the numerical aperture on the object side large, it is possible to make the numerical aperture on the image side large (the purpose is served without making the numerical aperture on the image side that small). As a result, it is possible to make the numerical aperture on the image side large while maintaining the optical system to be small-sized. Moreover, it is possible to correct various aberrations favorably.

For making the numerical aperture on the image side large, it is necessary to make the numerical aperture on the object side large. However, by making so as to exceed a lower limit value of conditional expression (4), the numerical aperture on the object side is not required to be made large. Therefore, small-sizing of the optical system becomes easy. By making so as to exceed a lower limit of conditional expression (5), the magnification of the optical system does not become excessively large. In this case, various aberrations occurred in the lens unit Gf, such as the spherical aberration and a curvature of field, are not enlarged significantly in the lens unit Gr. Therefore, it is preferable from a viewpoint of correcting the aberration favorably to exceed the lower limit value of conditional expression (5).

By making so as to fall below an upper limit value of conditional expression (5), an image that is formed does not become excessively small. Therefore, observation and image pickup of a microstructure of a sample become easy.

Here, it is preferable that the following conditional expression (4′) is satisfied instead of conditional expression (4).

0.13<NA<0.9, 0.13<NA′<0.9 (4′)

Also, it is preferable that the following conditional expression (5′) is satisfied instead of conditional expression (5).

−1.5<β<−0.75 (5′)

Moreover, it is more preferable that the following conditional expression (5″) is satisfied instead of conditional expression (5)

−1.2<β<−0.8 (5″)

An optical system according to a third embodiment will be described below. The optical system according to the third embodiment comprises in order from an object side, a lens unit Gf having a positive refractive power, a stop, and a lens unit Gr having a positive refractive power, and the following conditional expressions (4) and (6) are satisfied:

0.1<NA, 0.1<NA′ (4)

0.5<f_OB/f_TL<2 (6)

where,

NA denotes a numerical aperture on the object side of the optical system,

NA′ denotes a numerical aperture on an image side of the optical system,

f_OBdenotes a focal length of the lens unit Gf, and

f_TLdenotes a focal length of the lens unit Gr.

The optical system according to the third embodiment includes the lens unit Gf having a positive refractive power, the stop (aperture stop), and the lens unit Gr having a positive refractive power. Moreover, the lens unit Gf is disposed on the object side and the lens unit Gr is disposed on the image side, sandwiching the stop. Therefore, in the optical system according to the third embodiment, the refractive power is symmetrical with respect to the stop. In other words, regarding the refractive power, the optical system has symmetry. Therefore, it is possible to correct the chromatic aberration of magnification, the distortion, and the coma aberration favorably.

Moreover, when the numerical aperture on the image side of the optical system is made large, an occurrence of an off-axis aberration is susceptible to be noticeable. However, according to the optical system of the third embodiment, even when the numerical aperture on the image side of the optical system is made large, it becomes easy to suppress the occurrence of the off-axis aberration. As a result, various aberrations are corrected favorably, and a bright and sharp sample image is formed.

A technical significance of conditional expression (4) is as mentioned above. Moreover, a technical significance of conditional expression (6) is similar to the technical significance of conditional expression (5).

Here, it is preferable that the following conditional expression (6′) is satisfied instead of conditional expression (6).

0.75<f_OB/f_TL<1.5 (6′)

Moreover, it is more preferable that the following conditional expression (6″) is satisfied instead of conditional expression (6).

0.8<f_OB/f_TL<1.2 (6″)

An optical system according to a fourth embodiment will be described below. The optical system according to the fourth embodiment comprises in order from an object side, a lens unit Gf having a positive refractive power, a stop, and a lens unit Gr having a positive refractive power, and the following conditional expressions (7), (8), and (9) are satisfied:

30%≦MTF_OB (7)

30%≦MFT_TL (8)

0<d₁/Σd<0.5 (9)

where,

MTF_OBdenotes an MTF (Modulation Transfer Function) on an axis in the lens unit Gf, and is an MTF with respect to a spatial frequency of fc/4,

MTF_TLdenotes an MTF on an axis in the lens unit Gr, and is an MTF with respect to a spatial frequency of fc′/4, where

fc denotes a cut-off frequency with respect to the numerical aperture on the object side of the optical system, and

fc′ denotes a cut-off frequency with respect to the numerical aperture on the image side of the optical system, and both MTF_OBand MTF_TLare MTFs at positions at which, light is focused when parallel light of an e-line is made to be incident from the stop side respectively,

d₁denotes a distance on an optical axis from a surface positioned nearest to the image side of the lens unit Gf up to a surface positioned nearest to the object side of the lens unit Gr, and

Σd denotes a sum total of lens thickness on the optical axis of the overall optical system.

By satisfying conditional expressions (7) and (8), it becomes possible to impart a function equivalent to a function of the objective to the lens unit Gf, and to impart a function equivalent to a function of the tube lens to the lens unit Gr. Accordingly, the optical system becomes suitable for a microscope optical system and an optical system which is suitable for an object of forming a sharp sample image, similar to the microscope optical system. Conditional expression (7-1) or conditional expression (7-1′) that will be described later may be satisfied instead of conditional expression (7). Moreover, conditional expression (8-1) or conditional expression (8-1′) that will be described later may be satisfied instead of conditional expression (8).

By satisfying conditional expression (9), it is possible to dispose the lens unit Gf and the lens unit Gr near the stop (pupil). Here, when the numerical aperture on the image side of the optical system is made large, an occurrence of the off-axis aberration is susceptible to be noticeable. However, according to the optical system of the fourth embodiment, even when the numerical aperture on the image side of the optical system is made large, it becomes easy to suppress the occurrence of the off-axis aberration, particularly the occurrence of the coma. As a result, various aberrations are corrected favorably, and a bright and sharp sample image is formed. Any of conditional expressions (9-1), (9-1′), (9-1″), and (9-1′″) which will be described later may be satisfied instead of conditional expression (9).

An optical system according to a fifth embodiment will be described below. The optical system according to the fifth embodiment comprises in order from an object side, a lens unit Gf having a positive refractive power, a stop, and a lens unit Gr having a positive refractive power, and the following conditional expressions (7), (8), and (10) are satisfied:

30%≦MTF_OB (7)

30%≦MTF_TL (8)

0<d₂/Σd<4 (10)

where,

MTF_OBdenotes an MTF on an axis in the lens unit Gf, and is an MTF with respect to a spatial frequency of fc/4,

MTF_TLdenotes an MTF on an axis in the lens unit Gr, and is an MTF with respect to a spatial frequency of fc′/4, where

fc denotes a cut-off frequency with respect to the numerical aperture on the object side of the optical system, and

d₂denotes a distance on an optical axis from a front principal point of the lens unit Gf up to a rear principal point of the lens unit Gr, and

Σd denotes a sum total of lens thickness on the optical axis of the overall optical system.

A technical significance of conditional expressions (7) and (8) is as already been explained. Conditional expression (7-1) or conditional expression (7-1′) that will be described later may be satisfied instead of conditional expression (7). Moreover, conditional expression (8-1) or conditional expression (8-1′) that will be described later may be satisfied instead of conditional expression (8).

By satisfying conditional expression (10), the rear principal point of the lens unit Gf and the front principal point of the lens unit Gr are positioned near the stop (pupil). Here, when the numerical aperture on the image side of the optical system is made large, an occurrence of the off-axis aberration is susceptible to be noticeable. However, according to the optical system of the fifth embodiment, even when the numerical aperture on the image side of the optical system is made large, it becomes easy to suppress the occurrence of the off-axis aberration, particularly the occurrence of the coma. As a result, various aberrations are corrected favorably, and a bright and sharp image is formed. Any of conditional expressions (10-1), (10-1′), (10-1″) and (10-1′″) that will be described later may be satisfied instead of conditional expression (10).

It is preferable that the optical systems of embodiments from the first embodiment to the fifth embodiment (hereinafter, appropriately called as the optical system according to the present embodiment) have an arrangement of an optical system according to the other embodiments, and satisfy conditional expressions. Accordingly, it is possible to provide an optical system having a large numerical aperture on the image side, and in which, various aberrations are corrected favorably. Moreover, a bright and sharp sample image, in which various aberrations are corrected favorably, is formed.

Moreover, in the optical system according to the present embodiment, it is preferable that the following conditional expression (11) is satisfied:

0.05<Δf/Y<0.05 (11)

where,

Δf denotes a difference in a focal position on a C-line and a focal position on an F-line, which is a difference in positions at which light is focused when parallel light is made to be incident on the lens unit Gr from the stop side, and

Y denotes the maximum image height in an overall optical system.

In the optical system according to the present embodiment, the optical system has symmetry with regard to a shape of lens or a refractive power of lens, or both. Therefore, the chromatic aberration of magnification, the distortion, and the coma occur in opposite directions in the lens unit Gf and the lens unit Gr. Therefore, by rendering the lens unit Gf and the lens unit Gr in a combined state, it is possible to cancel an aberration occurred in the lens unit Gf, in the lens unit Gr.

However, a longitudinal chromatic aberration occurs in the same direction in both the lens unit Gf and the lens unit Gr. For this reason, in the state of the lens unit Gf and the lens unit Gr combined, the aberration occurred in the lens unit Gf cannot be cancelled in the lens unit Gr. Therefore, the longitudinal chromatic aberration is required to be corrected only in the lens unit Gr. The longitudinal chromatic aberration is also required to be corrected only in the lens unit Gf.

By making so as to fall below an upper limit value of conditional expression (11) or by making so as to exceed a lower limit value of conditional expression (11), correction of the longitudinal chromatic aberration in the overall optical system becomes easy.

Moreover, it is preferable that the optical system according to the present embodiment has at least two pairs of lenses.

Regarding the shape of lens, symmetry of the optical system improves further. Therefore, it is possible to correct the chromatic aberration of magnification, the distortion, and the coma even more favorably.

Moreover, it is preferable that the optical system according to the present embodiment has at least three pairs of lenses.

Regarding the shape of lens, the symmetry of the optical system improves further. Therefore, it is possible to correct the chromatic aberration of magnification, the distortion, and the coma favorably.

Moreover, in the optical system according to the present embodiment, it is preferable that the following conditional expression (12) is satisfied:

−10°<θ_o<10° (12)

where,

θ_odenotes an angle made by a normal of a plane perpendicular to the optical axis with a principal ray on the object side.

By making so as to exceed a lower limit value of conditional expression (12), or by making so as to fall below an upper limit value of conditional expression (12), it is possible to impart telecentricity on the object side, in the optical system. Accordingly, it is possible to suppress the fluctuation in magnification corresponding to a fluctuation in an object (photographic subject) distance. For instance, in a case of carrying out dimensional measurement by using the optical system according to the present embodiment, even when the object (substance to be tested) has concavity and convexity in the optical axial direction, since a magnification for a concave portion and a magnification for a convex portion being same, an accurate measurement is possible.

In the optical system according to the present embodiment, it is preferable that each lens in the pair of lenses disposed at a position nearest from the stop is a positive lens. Moreover, it is preferable that each lens in the pair of lenses disposed at a position second nearest from the stop is a negative lens.

An optical system according to a sixth embodiment will be described below. The optical system according to the sixth embodiment comprises in order from an object side, a lens unit Gf having a positive refractive power, a stop, and a lens unit Gr having a positive refractive power, and the following conditional expressions (4-1), (5), (9-1), and (13) are satisfied:

0.08<NA, 0.08<NA′ (4-1)

−2<β<−0.5 (5)

0<d₁/Σd<0.2 (9-1)

−20<Δf_cd/Σd<20 (13)

where,

NA denotes a numerical aperture on the object side of the optical system,

NA′ denotes a numerical aperture on an image side of the optical system,

β denotes a projection magnification of the optical system,

d₁denotes a distance on an optical axis from a surface positioned nearest to the image side of the lens unit Gf up to a surface positioned nearest to the object side of the lens unit Gr,

Σd denotes a sum total of lens thickness on the optical axis of an overall optical system,

εd denotes an Airy disc radius for a d-line which is determined by the numerical aperture on the image side of the optical system, and

An upper limit of a resolution on the object side is determined by the NA, and an upper limit of a resolving power on the image side is determined by the NA′ and a pixel pitch of an image pickup element. By including in order from the object side, the lens unit Gf having a positive refractive power, the stop, and the lens unit Gr having a positive refractive power, as well as conditional expression (4-1) and (5) are satisfied simultaneously, it is possible to make a balance of the resolution on the object side and the resolving power on the image side favorable. Moreover, it is possible to correct various aberrations favorably, and to improve an imaging performance to the maximum limit, as well as to form an optical system of a small size. Particularly, the optical system according to the sixth embodiment is an optical system ideal for an image pickup element with the pixel pitch from about one time to three times of a visual light wavelength.

Moreover, by satisfying conditional expressions (4-1) and (5) simultaneously, even when the light intensity of the illuminating light and the excitation light is small, it is possible to form a bright and sharp image while maintaining the optical system to be small-sized.

For making the numerical aperture on the image side large, it is necessary to make the numerical aperture on the object side large. However, by making so as to exceed a lower limit value of conditional expression (5), the numerical aperture on the object side is not required to be made large. Therefore, small-sizing of the optical system becomes easy. Moreover, by making so as to exceed the lower limit value of conditional expression (5), the magnification of the optical system does not become excessively large. In this case, various aberrations occurred in the lens unit Gf, such as the spherical aberration and the curvature of field, are not enlarged significantly in the lens unit Gr. Therefore, it is preferable from a viewpoint of correcting the aberration favorably to exceed the lower limit value of conditional expression (5).

Here, it is preferable that the following conditional expression (4-1′) is satisfied instead of conditional expression (4-1).

0.1<NA<0.9, 0.1<NA′<0.9 (4-1′)

Moreover, it is preferable that the abovementioned conditional expression (4′) is satisfied instead of conditional expression (4-1).

It is preferable that the abovementioned conditional expression (5′) is satisfied instead of conditional expression (5). Moreover, it is more preferable that the abovementioned conditional expression (5″) is satisfied instead of conditional expression (5).

By satisfying conditional expressions (9-1) and (13), regarding a lens arrangement in the lens unit Gf and a lens arrangement in the lens unit Gr, it is possible to dispose the lens unit Gf and the lens unit Gr near the stop while imparting symmetry with respect to the stop. When the numerical aperture on the image side of the optical system is made large, the occurrence of the off-axis aberration, particularly the occurrence of the coma becomes noticeable, but by making such an arrangement, it becomes easier to suppress the occurrence of such aberration. Here, d₁is a distance between the two surfaces, and the two surfaces in this case are both lens surfaces.

Here, it is preferable that the following conditional expression (9-1′) is satisfied instead of conditional expression (9-1).

0<d₁/Σd<0.15 (9-1′)

Moreover, it is more preferable that the following conditional expression (9-1″) is satisfied instead of conditional expression (9-1).

0<d₁/Σd<0.07 (9-1″)

Furthermore, it is even more preferable that the following conditional expression (9-1′″) is satisfied instead of conditional expression (9-1).

0<d₁/Σd<0.03 (9-1′″)

By satisfying conditional expression (13), it is possible to correct the off-axis aberrations such as the chromatic aberration and the coma favorably while maintaining the correction of the longitudinal chromatic aberration to a favorable state. In the optical system according to the sixth embodiment, by satisfying conditional expressions (4-1) and (5), it becomes possible to make the numerical aperture on the image side large with respect to the numerical aperture on the object side, or to make an arrangement such that the numerical aperture on the image side does not become excessively small with respect to the numerical aperture on the object side. Accordingly, it is made possible to form a brighter and sharper image, but at the same time, it is necessary to suppress the occurrence of the longitudinal chromatic aberration of the overall optical system to be small.

The optical system according to the sixth embodiment includes in order from the object side, the lens unit Gf having a positive refractive power, the stop, and the lens unit Gr having a positive refractive power, and is an optical system which satisfies conditional expression (5), or in other words, an optical system with an imaging magnification to be one time or close to one time. In such optical system, by making so as to fall below an upper limit value of conditional expression (13) or by making so as to exceed a lower limit value of conditional expression (13), it is possible to suppress the occurrence of the longitudinal chromatic aberration in the lens unit Gr. By enabling to suppress the occurrence of the longitudinal chromatic aberration in the lens unit Gr, it is possible to make the excessive correction of the longitudinal chromatic aberration in the lens unit Gf unnecessary. Therefore, regarding a lens arrangement in the lens unit Gf and a lens arrangement in the lens unit Gr, it is possible to impart symmetry with respect to the stop. By making the numerical aperture of the optical system large, the occurrence of aberrations such as the coma and the chromatic aberration of magnification becomes noticeable, but since the lens arrangement in the lens unit Gf and the lens arrangement in the lens unit Gr have symmetry with respect to the stop, it becomes possible to correct these aberrations favorably. Here, the symmetry does not refer only to cases of being completely symmetrical, but also includes cases of being nearly symmetrical.

Here, it is preferable that the following conditional expression (13′) is satisfied instead of conditional expression (13).

−15<Δf_cd/Σd<15 (13′)

Moreover, it is more preferable that the following conditional expression (13″) is satisfied instead of conditional expression (13).

−12<Δf_cd/Σd<12 (13″)

Furthermore, it is even more preferable that the following conditional expression (13′″) is satisfied instead of conditional expression (13).

−7<Δf_cd/Σd<7 (13′″)

An optical system according to a seventh embodiment will be described below. The optical system according to the seventh embodiment comprises in order from an object side, a lens unit Gf having a positive refractive power, a stop, and a lens unit Gr having a positive refractive power, and the following conditional expressions (4-1), (5), (10-1), and (13) are satisfied:

0.08<NA, 0.08<NA′ (4-1)

−2<β<−0.5 (5)

0<d₂/Σd<2 (10-1)

−20<Δf_cd/Σd<20 (13)

where,

NA denotes a numerical aperture on the object side of the optical system,

NA′ denotes a numerical aperture on an image side of the optical system,

β denotes a projection magnification of the optical system,

d₂denotes a distance on an optical axis from a front principal point of the lens unit Gf up to a rear principal point of the lens unit Gr,

Σd denotes a sum total of lens thickness on the optical axis of an overall optical system,

εd denotes an Airy disc radius for a d-line which is determined by the numerical aperture on the image side of the optical system, and

A technical significance of conditional expressions (4-1), (5), and (13) is as already been described above.

Moreover, by satisfying conditional expressions (10-1) and (13), regarding a lens arrangement in the lens unit Gf and a lens arrangement in the lens unit Gr, it is possible to position a principal point of the lens unit Gf and a principal point of the lens unit Gr near the stop while imparting symmetry with respect to the stop. When the numerical aperture on the image side of the optical system is made large, the occurrence of the off-axis aberration, particularly the occurrence of the coma becomes noticeable, but by making such an arrangement, it becomes easier to suppress the occurrence of the aberration.

Here, it is preferable that the following conditional expression (10-1′) is satisfied instead of conditional expression (10-1).

0<d₂/Σd<1.5 (10-1′)

Moreover, it is more preferable that the following conditional expression (10-1″) is satisfied instead of conditional expression (10-1).

0<d₂/Σd<1 (10-1″)

Furthermore, it is even more preferable that the following conditional expression (10-1′″) is satisfied instead of conditional expression (10-1).

0<d₂/Σd<0.7 (10-1′″)

It is all the more preferable to satisfy the following conditional expression (10-1″″) instead of conditional expression (10-1)

0<d₂/Σd<0.4 (10-1″″)

It is preferable that the optical system according to the sixth embodiment and the optical system according to the seventh embodiment (hereinafter, called appropriately as an ‘optical system according to the present embodiment’) have an arrangement of an optical system according to the other embodiments, and satisfy conditional expressions. Accordingly, it is possible to provide an optical system with a large numerical aperture on the image side, and in which, various aberrations are corrected favorably. Moreover, a bright and sharp sample image, in which various aberrations are corrected favorably, is formed.

In the optical system according to the present embodiment, it is preferable that the following conditional expressions (7-1) and (8-1) are satisfied:

40%≦MTF_OB (7-1)

40%≦MTF_TL (8-1)

where,

MTF_OBdenotes an MTF on an axis in the lens unit Gf, and is an MTF with respect to a spatial frequency of fc/4,

MTF_TLdenotes an MTF on an axis in the lens unit Gr, and is an MTF with respect to a spatial frequency of fc′/4, where

fc denotes a cut-off frequency with respect to the numerical aperture on the object side of the optical system, and

By satisfying conditional expressions (7-1) and (8-1), it becomes possible to impart a function equivalent to a function of the objective to the lens unit Gf, and to impart a function equivalent to a function of the tube lens to the lens unit Gr. Accordingly, in an optical arrangement in which, light emerged from the lens unit Gf becomes a substantially parallel light beam, it is possible to correct a longitudinal aberration favorably. Therefore, in the optical system which satisfies conditional expression (5), by further satisfying conditional expressions (7-1) and (8-1), regarding the arrangement of the lens unit Gf and the arrangement of the lens unit Gr, it becomes easy to impart symmetry with respect to the stop. As a result, it is possible to suppress an off-axis distortion, the chromatic aberration of magnification, and the coma favorably.

Furthermore, since a light beam passing through the stop becomes substantially parallel, it becomes possible to insert an optical element such as a phase plate and a polarization plate being necessary for various observation techniques (such as phase-contrast microscopy, polarization microscopy, and differential interference contrast microscopy), near the stop.

Here, it is preferable that the following conditional expression (7-1′) is satisfied instead of conditional expression (7-1).

50%≦MTF_OB (7-1′)

Moreover, it is preferable that the following conditional expression (8-1′) is satisfied instead of conditional expression (8-1).

50%≦MTF_TL (8-1′)

In the optical system according to the present embodiment, it is preferable that the following conditional expression (6) is satisfied:

0.5<f_OB/f_TL<2 (6)

where,

f_OBdenotes a focal length of the lens unit Gf, and

f_TLdenotes a focal length of the lens unit Gr.

The optical system according to the present embodiment is an optical system which satisfies conditional expression (5), or in other words, is an optical system having a projection magnification which is one time or close to one time. In the optical system having a projection magnification which is one time or close to one time, by satisfying conditional expression (6), regarding an arrangement of the lens unit Gf and an arrangement of the lens unit Gr, it becomes possible to impart symmetry with respect to the stop. When the numerical aperture on the image side of the optical system is made large, the occurrence of off-axis aberrations such as the chromatic aberration of magnification and the coma becomes noticeable. However, since the arrangement of the lens unit Gf and the arrangement of the lens unit Gr have symmetry with respect to the stop, it becomes possible to correct these aberrations favorably.

It is preferable that the aforementioned conditional expression (6′) is satisfied instead of conditional expression (6). Moreover, it is more preferable that the aforementioned conditional expression (6″) is satisfied instead of conditional expression (6).

In the optical system according to the present embodiment, it is preferable that the following conditional expression (14) is satisfied:

0.7<d_SHOB/d_SHTL<1.3 (14)

where,

d_SHOBdenotes a distance on the optical axis from a front principal point of the lens unit Gf up to the stop, and

d_SHTLdenotes a distance on the optical axis from the stop up to a rear principal point of the lens unit Gr.

A technical significance of conditional expression (14) is same as the technical significance of conditional expression (6).

It is preferable that the following conditional expression (14′) is satisfied instead of conditional expression (14).

0.8<d_SHOB/d_SHTL<1.2 (14′)

It is more preferable that the following conditional expression (14″) is satisfied instead of conditional expression (14).

0.9<d_SHOB/d_SHTL<1.1 (14″)

Moreover, in the optical system according to the present embodiment, it is preferable that a positive lens Lf1 is disposed nearest to the image in the lens unit Gf.

By making such an arrangement, since it becomes possible to position a principal point of the lens unit Gf at the stop side (or near the stop), it becomes advantageous for shortening a conjugate length (distance from the object up to the image). Moreover, when the numerical aperture on the image side of the optical system is made large, the occurrence of the off-axis aberration, particularly the occurrence of the coma becomes noticeable. However, by positioning the principal point of the lens unit Gf near the stop (pupil), it becomes easier to suppress the occurrence of the off-axis aberration.

Moreover, in the optical system according to the present embodiment, it is preferable that a positive lens Lr1 is disposed nearest to the object in the lens unit Gr.

By making such an arrangement, since it becomes possible to position a principal point of the lens unit Gr at the stop side (or near the stop), it becomes advantageous for shortening the conjugate length. Moreover, when the numerical aperture on the image side of the optical system is made large, the occurrence of the off-axis aberration, particularly the occurrence of the coma becomes noticeable. However, by positioning the principal point of the lens unit Gr near the stop (pupil), it becomes easier to suppress the occurrence of the off-axis aberration.

Moreover, in the optical system according to the present embodiment, it is preferable that a negative lens Lf2 is disposed on the object side of the positive lens Lf1 such that, the negative lens Lf2 is adjacent to the positive lens Lf1.

By the negative lens Lf2, it is possible to correct favorably a chromatic aberration occurring in the positive lens Lf1. Besides, since the negative lens Lf2 is disposed to be adjacent to the positive lens Lf1, it is possible to suppress the occurrence of the chromatic aberration of magnification in the lens unit Gf. As a result, it is possible to correct the chromatic aberration of magnification of the overall optical system favorably.

In the optical system according to the present embodiment, it is preferable that a negative lens Lr2 is disposed on the image side of the positive lens Lr1 such that, the negative lens Lr2 is adjacent to the positive lens Lr1.

By the negative lens Lr2, it is possible to correct favorably the chromatic aberration occurring in the positive lens Lr1. Besides, since the negative lens Lr2 is disposed to be adjacent to the positive lens Lr1, it is possible to suppress the occurrence of the chromatic aberration of magnification in the lens unit Gr. As a result, it is possible to correct the chromatic aberration of magnification of the overall optical system favorably.

Moreover, in the optical system according to the present embodiment, it is preferable that an object-side surface of the negative lens Lf2 is concave toward the object side.

By making such an arrangement, since it is possible to make large an angle of incidence of an off-axis light beam incident on the negative lens Lf2, it is possible to shorten the conjugate length of the optical system while maintaining a wide range of observation (an actual field of view).

Moreover, in the optical system according to the present embodiment, it is preferable that an image-side surface of the negative lens Lr2 is concave toward the image side.

By making such an arrangement, since it is possible to make large an angle of emergence of an off-axis light beam emerging from the negative lens Lr2, it is possible to shorten the conjugate length of the optical system while maintaining a wide observation range.

Moreover, in the optical system according to the present embodiment, it is preferable that the lens unit Gf includes a lens Lfe which is disposed nearest to the object, and a shape of at least one lens surface of the lens Lfe is a shape having an inflection point.

By letting the shape of the lens surface near the object side to be a surface shape having the inflection point, and by letting a refractive power at a periphery to differ from a refractive power at a center, it becomes possible to reduce an angle of emergence of the off-axis light beam with respect to the object plane while maintaining a principal plane of the lens unit Gf at an optimum position. Moreover, since a position through which, the off-axis ray passes through a lens surface near the object becomes high, by providing the point of inflection to that surface, and letting the refractive power at the periphery to differ from the refractive power at the center, it is possible to correct favorably the off-axis aberration such as the curvature of field and an astigmatism.

Moreover, in the optical system according to the present embodiment, it is preferable that the lens unit Gr includes a lens Lre which is disposed nearest to the image, and a shape of at least one lens surface of the lens Lre is a shape having an inflection point.

By letting the shape of the lens surface near the image side to be a surface shape having the inflection point, and by letting a refractive power at a periphery to differ from a refractive power at a center, it becomes possible to reduce an angle of incidence of the off-axis light beam with respect to the image plane while maintaining a principal plane of the lens unit Gr at an optimum position. Moreover, since a position through which, the off-axis ray passes through a lens surface near the image becomes high, by providing the point of inflection to that surface, and letting the refractive power at the periphery to differ from the refractive power at the center, it is possible to correct favorably the off-axis aberration such as the curvature of field and the astigmatism.

Moreover, in the optical system according to the present embodiment, it is preferable that the lens Lfe has a negative refractive power.

By making such an arrangement, since it becomes possible to position the principal plane of the lens unit Gf at the stop side, it becomes advantageous for shortening the conjugate length. Moreover, by positioning the principal plane of the lens unit Gf near the stop (pupil), even when the numerical aperture on the image side of the optical system is made large, it is possible to suppress the occurrence of the off-axis aberration, particularly the occurrence of the coma.

Moreover, in the optical system according to the present embodiment, it is preferable that the lens Lre has a negative refractive power.

By making such an arrangement, since it becomes possible to position the principal plane of the lens unit Gr at the stop side, it becomes advantageous for shortening the conjugate length. Moreover, by positioning the principal plane of the lens unit Gr near the stop (pupil), even when the numerical aperture on the image side of the optical system is made large, it is possible to suppress the occurrence of the off-axis aberration, and particularly the occurrence of the coma.

Moreover, in the optical system according to the embodiment, it is preferable that the 1 optical system includes at least one pair of lenses which satisfies the following conditional expressions (1), (2), and (3), and one lens in the pair of lenses is included in the lens unit Gf, and the other lens in the pair of lenses is included in the lens unit Gr:

−1.1<r_OBf/r_TLr<−0.9 (1)

−1.1<r_OBr/r_TLf<−0.9 (2)

−0.1<(d_OB−d_TL)/(d_OB+d_TL)<0.1 (3)

where,

r_OBfdenotes a paraxial radius of curvature of an object-side surface of the one lens in the pair of lenses,

r_OBrdenotes a paraxial radius of curvature of an image-side surface of the one lens in the pair of lenses,

r_TLfdenotes a paraxial radius of curvature of an object-side surface of the other lens in the pair of lenses,

r_TLrdenotes a paraxial radius of curvature of an image-side surface of the other lens in the pair of lenses,

d_OBdenotes a thickness on the optical axis of the one lens in the pair of lenses, and

d_TLdenotes a thickness on the optical axis of the other lens in the pair of lenses.

The technical significance of conditional expressions (1), (2), and (3) is as aforementioned.

Moreover, it is preferable that the optical system according to the present embodiment has at least two pairs of lenses.

Moreover, it is preferable that the optical system according to the present embodiment has at least three pairs of lenses.

Moreover, in the optical system according to the present embodiment, it is preferable that the following conditional expression (12-1) is satisfied:

−10°<θ_o<30° (12-1)

where,

θ_odenotes an angle made by a normal of a plane perpendicular to the optical axis with a principal ray on the object side.

By making so as to exceed a lower limit value of conditional expression (12-1), or making so as to fall below an upper limit value of conditional expression (12-1), it is possible to impart telecentricity on the object side, in the optical system. Accordingly, it is possible to suppress the fluctuation in magnification corresponding to a fluctuation in the object (photographic subject) distance. For instance, in a case of carrying out dimensional measurement by using the optical system of the present embodiment, even when the object (substance to be tested) has concavity and convexity in the optical axial direction, since it is possible to make a difference in a magnification for a concave portion and a magnification for a convex portion small, an accurate measurement is possible.

Moreover, in a case of seeking even higher telecentricity in the optical system, in the optical system according to the present embodiment, it is preferable that the following conditional expression (12-1′) is satisfied.

−5°<θ_o<5° (12-1′)

Moreover, in a case of seeking further small-sizing (shortening overall length of the optical system, and making a diameter fine) in the optical system, in the zoom lens of the present embodiment, it is preferable that the following conditional expression (12-1″) is satisfied.

15°<θ_o<30° (12-1″)

A focal length of a tube lens used in a conventional microscope is approximately 10 times of a focal length of a microscope objective. Therefore, the numerical aperture (NA′) on the image side becomes small to about 0.08. However, in the aforementioned embodiments from the first embodiment to the seventh embodiment, it is possible to realize an optical system in which, the numerical aperture on the image side is large, and various aberrations are corrected favorably.

Moreover, an optical instrument (such as a microscope) of the present embodiment includes the aforementioned optical system, and an image pickup element.

According to the optical instrument of the present embodiment, it is possible to realize an optical instrument in which, the numerical aperture on the image side is large, and various aberrations are corrected favorably. Moreover, a bright and sharp sample image in which, various aberrations have been corrected, is formed.

An optical system according to an eighth embodiment, an optical system according to a ninth embodiment, and an optical system according to a tenth embodiment (hereinafter, appropriately called as an ‘optical system according to the present embodiment’) will be described below. Moreover, a marginal ray is a light rays emerged from an object point on the optical axis, and passing through a peripheral portion of an entrance pupil of the optical system. Here, in the following description, in a case in which, the marginal ray has emerged from an object point on the optical axis, the marginal ray will be let to be an axial marginal ray, and in a case in which, the marginal ray has emerged from an off-axis object point, the marginal ray will be let to be an off-axis marginal ray. Moreover, the optical system according to the present embodiment is an optical system presupposing that an object is at a finite distance from the optical system (finite correction optical system).

Moreover, in an image pickup apparatus using the optical system according to the present embodiment, it is possible to let an image photographed to be subjected to digital zooming, and make a magnified display thereof. Therefore, the optical systems of these embodiments have a high resolution as various aberrations are corrected favorably, and are capable of forming an image over a wide observation range. In the optical systems of these embodiments, since a longitudinal chromatic aberration and an off-axis chromatic aberration in particular, has been corrected favorably, by combining with an image pickup element having a small pixel pitch, a magnified image with a high resolution is achieved even in a case in which, the image captured is magnified by digital zooming.

The optical system according to the eighth embodiment is an optical system which forms an optical image on an image pickup element including a plurality of pixels arranged in rows two-dimensionally, which converts a light intensity to an electric signal, and a plurality of color filters disposed on the plurality of pixels respectively, and comprises in order from an object side,

a first lens unit having a positive refractive power, which includes a plurality of lenses,

a stop, and

a second lens unit which includes a plurality of lenses, wherein

lens units which form the optical system include the first lens unit and the second lens unit, and

the first lens unit includes a first object-side lens which is disposed nearest to an object, and

the second lens unit includes a second image-side lens which is disposed nearest to an image, and

the first lens unit includes a negative lens, and a positive lens which is disposed on the object side of the negative lens, and

The following conditional expressions (15), (16), (19), and (20) are satisfied:

β≦−1.1 (15)

0.08<NA (16)

1.0<WD/BF (19)

0.5<2×(WD×tan(sin⁻¹NA)+Y_obj)/φ_s<4.0 (20)

where,

β denotes an imaging magnification of the optical system,

NA denotes a numerical aperture on the object side of the optical system,

WD denotes a distance on an optical axis from the object up to an object-side surface of the first object-side lens,

BF denotes a distance on the optical axis from an image-side surface of the second image-side lens up to the image,

Y_objdenotes a maximum object height, and

φ_sdenotes a diameter of the stop.

The optical system according to the ninth embodiment is an optical system which forms an optical image on an image pickup element including a plurality of pixels arranged in rows two-dimensionally, which converts a light intensity to an electric signal, and a plurality of color filters disposed on the plurality of pixels respectively, and comprises in order from an object side,

a first lens unit which includes a plurality of lenses,

a stop, and

a second lens unit which includes a plurality of lenses, wherein

lens units which form the optical system include the first lens unit and the second lens unit, and

the first lens unit includes a first object-side lens which is disposed nearest to an object, and

the second lens unit includes a second image-side lens which is disposed nearest to an image, and

the following conditional expressions (16), (21), (23-1), and (24-1) are satisfied:

0.08<NA (16)

0.01<D_max/φ_s<3.0 (21)

0.6≦L_L/D_oi (23-1)

0.015<1/νd_min−1/νd_max (24-1)

where,

NA denotes a numerical aperture on the object side of the optical system,

D_maxdenotes a maximum distance from among distances on an optical axis of adjacent lenses in the optical system,

φ_sdenotes a diameter of the stop,

L_Ldenotes a distance on the optical axis from an object-side surface of the first object-side lens up to an image-side surface of the second image-side lens,

D_oidenotes a distance on the optical axis from the object to the image,

νd_mindenotes a smallest Abbe's number from among Abbe's numbers for lenses forming the optical system, and

νd_maxdenotes a largest Abbe's number from among the Abbe's numbers for lenses forming the optical system.

The optical system according to the tenth embodiment is an optical system which forms an optical image on an image pickup element including a plurality of pixels arranged in rows two-dimensionally, which converts a light intensity to an electric signal, and a plurality of color filters disposed on the plurality of pixels respectively, and for which, a pitch of pixels is not more than 5.0 μm, and comprises in order from an object side,

a first lens unit which includes a plurality of lenses,

a stop, and

a second lens unit which includes a plurality of lenses, wherein

lens units which form the optical system include the first lens unit and the second lens unit, and

the first lens unit includes a first object-side lens which is disposed nearest to an object, and

the second lens unit includes a second image-side lens which is disposed nearest to an image, and

the following conditional expressions (16), (18), and (25) are satisfied:

0.08<NA (16)

−30<(ΔD_G2dC+(ΔD_G1dC×β_G2C²/(1+β_G2C×ΔD_G1dC/f_G2C)))/ε_d<30 (18)

0.15<D_os/D_oi<0.8 (25)

where,

NA denotes a numerical aperture on the object side of the optical system,

β_G2Cdenotes an imaging magnification for the C-line of the second lens unit when the image point P_G1is let to be the object point of the second lens unit,

f_G2Cdenotes a focal length for the C-line of the second lens unit,

ε_ddenotes an Airy disc radius for the d-line, which is determined by the numerical aperture on the image side of the optical system,

D_osdenotes a distance on the optical axis from the object up to the stop, and

D_oidenotes a distance on the optical axis from the object up to the image, and

the object point and the image point are points on the optical axis, and also include cases of being a virtual object point and a virtual image point.

Each of the optical system according to the eighth embodiment, the optical system according to the ninth embodiment, and the optical system according to the tenth embodiment is an optical system that forms an optical image on the image pickup element. Here, the image pickup element includes a plurality of pixels arranged in rows two-dimensionally, which converts a light intensity to an electric signal, and a plurality of color filters disposed on the plurality of pixels respectively.

In the optical system according to the eighth embodiment, it is preferable that the following conditional expression (15) is satisfied:

β≦−1.1 (15)

where,

β denotes an imaging magnification of the optical system.

When the numerical aperture on the object side of the optical system is enlarged (the numerical aperture is made large), and a working distance is made long to a certain extent, since a height of an axial marginal ray incident on the optical system (lens positioned nearest to the object) becomes high, the axial aberration is susceptible to occur. Therefore, by satisfying conditional expression (15), since it is possible to suppress the height of the axial marginal ray and the off-axis marginal ray incident on the optical system, it is possible to suppress further the occurrence of the axial aberration and the off-axis aberration.

Moreover, in the optical system according to the ninth embodiment, it is preferable that the following conditional expression (15-1) is satisfied:

β≦−1.0 (15-1)

where,

β denotes an imaging magnification of the optical system.

By satisfying conditional expression (15-1), the optical system becomes a magnifying optical system. Accordingly, it is possible to realize more detailed observation.

Moreover, in the optical system according to the tenth embodiment, it is preferable that the following conditional expression (15-2) is satisfied:

−1.1≦β≦−0.9 (15-2)

where,

β denotes an imaging magnification of the optical system.

Moreover, in the optical system according to the present embodiment, it is preferable that the following conditional expression (16) is satisfied:

0.08<NA (16)

where,

NA denotes a numerical aperture on the object side of the optical system.

By satisfying conditional expression (16), it is possible to realize an optical system and an image pickup apparatus having a high resolution.

Moreover, it is preferable that the optical system according to the present embodiment is an optical system which is used in a microscope.

It is preferable that the optical system according to the present embodiment includes in order from an object side, a first lens unit which includes a plurality of lenses, a stop, and a second lens unit which includes a plurality of lenses, and that the lens units which form the optical system include the first lens unit and the second lens unit. It is preferable that the stop is an aperture stop. It is possible that the lens units which form the optical system consist of the first lens unit and the second lens unit.

Moreover, in the optical system according to the present embodiment, it is preferable that the first lens unit includes a first object-side lens which is disposed nearest to an object. Moreover, it is preferable that the first lens unit includes a first image-side lens which his disposed nearest to the image. It is preferable that the second lens unit includes a second object-side lens which is disposed nearest to the object. Moreover, it is preferable that the second lens unit includes a second image-side lens which is disposed nearest to the image.

In the optical system according to the present embodiment, it is preferable that the following conditional expression (17) is satisfied:

L
_TL/2Y<15 (17)

where,

L_TLdenotes a distance on an optical axis from an object-side surface of the first object-side lens up to an image, and

Y denotes a maximum image height in an overall optical system.

By satisfying conditional expression (17), it is possible to make the optical system and the overall image pickup apparatus small.

Moreover, in the optical system according to the present embodiment, it is preferable that the lens units which form the optical system includes the first lens unit and the second lens unit, and the pitch of pixels is not more than 5.0 μm, and the following conditional expression (18) is satisfied:

−30<(ΔD_G2dC+(ΔD_G1dc×β_G2C²/(1+β_G2C×ΔD_G1dC/f_G2C)))/ε_d<30 (18)

where,

β_G2Cdenotes an imaging magnification for the C-line of the second lens unit when the image point P_G1is let to be the object point of the second lens unit,

f_G2Cdenotes a focal length for the C-line of the second lens unit, and

ε_ddenotes an Airy disc radius for the d-line which is determined by the numerical aperture on the image side of the optical system, and

the object point and the image point are points on the optical axis, and also include cases of being a virtual object point and a virtual image point.

Conditional expression (18) is a conditional expression related to a balance between a correction function of the longitudinal chromatic aberration of the first lens unit and a correction function of the longitudinal chromatic aberration of the second lens unit, and is a conditional expression related to a difference in an image position on the d-line and an image position on the C-line. By the first lens unit and the second lens unit satisfying conditional expression (18), it is possible to correct the longitudinal chromatic aberration of the overall optical system favorably. Moreover, by the longitudinal chromatic aberration being corrected favorably, it is possible to improve the resolution of the optical system. As a result, it is possible to observe a microscopic structure of a sample with a high resolution, even in color.

Particularly, in the optical system which satisfies conditional expressions (15-2) and (16), or in other words, in the optical system with a large numerical aperture on the image side, for achieving high resolution, it is necessary that the longitudinal chromatic aberration has been corrected more favorably, and by satisfying conditional expression (18), the abovementioned effect is achieved.

At the time of calculating ε_d, the optical system is assumed to be an ideal optical system. When the optical system is assumed to be an ideal optical system, the shape of the Airy disc becomes circular. Since a size of the radius of the Airy disc is determined by the numerical aperture on the image side, it is possible to calculate the radius of the Airy disc uniquely.

Moreover, it is preferable to let the pitch of the pixels to be not less than 0.5 μm.

Here, it is preferable that the following conditional expression (18′) is satisfied instead of conditional expression (18).

−21<(ΔD_G2dC(ΔD_G1dc×β_G2C²/(1+β_G2C×ΔD_G1dC/f_G2C)))/ε_d<21 (18′)

Moreover, it is more preferable that the following conditional expression (18″) is satisfied instead of conditional expression (18).

−15<(ΔD_G2dC+(ΔD_G1dC×β_G2C²/(1+β_G2C×ΔD_G1dC/f_G2C)))/ε_d<15 (18″)

Furthermore, it is even more preferable that the following conditional expression (18′″) is satisfied instead of conditional expression (18).

−9<(ΔD_G2dC+(ΔD_G1dC×β_G2C²/(1+β_G2C×ΔD_G1dC/f_G2C)))/ε_d<9 (18′″)

In the optical system according to the eighth embodiment and the optical system according to the tenth embodiment, it is preferable that the first lens unit has a positive refractive power, and the following conditional expression (19) is satisfied:

1.0<WD/BF (19)

where,

WD denotes a distance on an optical axis from the object up to an object-side surface of the first object-side lens, and

BF denotes a distance on the optical axis from an image-side surface of the second image-side lens up to an image.

It is preferable to dispose the lens unit having a positive refractive power on the object side of the stop. Accordingly, it is possible to position the principal point on the object side. Therefore, it is possible to shorten the overall length of the optical system while maintaining the state in which, the longitudinal chromatic aberration has been corrected favorably.

In conditional expression (19), WD is the distance on the optical axis from the object up to the object-side surface of the first object-side lens, but will be called as a working distance in the present specification. Moreover, BF is the distance on the optical axis from the image-side surface of the second image-side lens up to the image, but will be called as a back focus in the present specification. Accordingly, conditional expression (19) can be said to be a conditional expression which regulates an appropriate ratio of the working distance and the back focus.

By making so as not to fall below a lower limit value of conditional expression (19), it is possible to prevent the back focus from becoming excessively long. When such an arrangement is made, since it is possible to make a distance from the stop up to the image short, it is possible to make a height of a principal ray higher on the image side than at the stop. As a result, since it is possible to carry out an aberration correction in a state in which, the height of the principal ray has become high in the second lens unit, it is possible to correct favorably the chromatic aberration of magnification in particular.

Here, it is preferable that the following conditional expression (19′) is satisfied instead of conditional expression (19).

1.2<WD/BF<50.0 (19′)

Moreover, it is more preferable that the following conditional expression (19″) is satisfied instead of conditional expression (19).

1.4<WD/BF<35.0 (19″)

Furthermore, it is even more preferable that the following conditional expression (19′″) is satisfied instead of conditional expression (19).

2.0<WD/BF<17.5 (19′″)

In the optical system according to the eighth embodiment, it is preferable that the first lens unit includes a negative lens, and a positive lens which is disposed on the object side of the negative lens, and that the following conditional expression (20) is satisfied:

0.5<2×(WD×tan(sin⁻¹NA)+Y_obj)/φ_s<4.0 (20)

where,

WD denotes a distance on an optical axis from the object up to the object-side surface of the first object-side lens,

NA denotes a numerical aperture on the object side of the optical system,

Y_objdenotes a maximum object height, and

φ_sdenotes a diameter of the stop.

By disposing the positive lens and the negative lens in the first lens unit, it is possible to correct the longitudinal chromatic aberration favorably. At this time, by disposing the positive lens on the object side of the negative lens, it is possible to correct the longitudinal chromatic aberration more favorably.

By satisfying conditional expression (20), it is possible to correct the chromatic aberration more favorably. The stop being the aperture stop, it is possible to let the stop to be a stop that determines the NA.

By making so as not to fall below a lower limit value of conditional expression (20), it is possible to suppress a predetermined refraction effect in the first lens unit from becoming excessively small. Therefore, since it is possible to position a principal point sufficiently on the object side, it is possible to shorten the overall length of the optical system. The predetermined refraction is an effect of making a light ray refract in order to bring closer to the optical axis. Larger the predetermined refraction effect, the light ray is refracted in a direction of coming closer to the optical axis. For instance, larger the predetermined refraction effect, convergence becomes stronger in the convergence effect, and divergence becomes weaker in the divergence effect.

By making so as not to exceed an upper limit value of conditional expression (20) is not exceeded, it is possible to prevent the predetermined refraction effect in the first lens unit from becoming excessively large. Accordingly, it is possible to correct the longitudinal chromatic aberration due to the axial marginal ray and the off-axis chromatic aberration at the maximum image height favorably and in a balanced manner. Even in a range of satisfying conditional expression (16), it is possible to correct the longitudinal chromatic aberration and the off-axis chromatic aberration favorably and in a balanced manner.

By satisfying conditional expressions (16), (19), and (20), it is possible to realize enlargement of the numerical aperture on the object side, shortening of the overall length of the optical system, and favorable correction of the chromatic aberration, while securing appropriately a thickness of optical components forming the optical system.

Here, it is preferable that the following conditional expression (20′) is satisfied instead of conditional expression (20).

0.63<2×(WD×tan(sin⁻¹NA)+Y_obj)/φ_s<3.70 (20′)

Moreover, it is more preferable that the following conditional expression (20″) is satisfied instead of conditional expression (20).

0.78<2×(WD×tan(sin⁻¹NA)+Y_obj)/φ_s<3.50 (20″)

Furthermore, it is even more preferable that the following conditional expression (20′″) is satisfied instead of conditional expression (20).

0.98<2×(WD×tan(sin⁻¹NA)+Y_obj)/φ_s<3.15 (20′″)

In the optical system according to the tenth embodiment, it is preferable that the first lens unit includes a negative lens, and a positive lens which is disposed on the object side of the negative lens, and the following conditional expression (20-1) is satisfied:

1.0<2×(WD×tan(sin⁻¹NA)+Y_obj)/φ_s<5.0 (20-1)

where,

WD denotes a distance on the optical axis from the object up to the object-side surface of the first object-side lens,

NA denotes a numerical aperture on the object side of the optical system,

Y_objdenotes a maximum object height, and

φ_sdenotes a diameter of the stop.

By satisfying conditional expression (20-1), it is possible to realize simultaneously, enlargement of the numerical aperture on the object side, shortening of the overall length of the optical system, and favorable correction of the chromatic aberration, while securing appropriately a thickness of optical components forming the optical system.

A technical significance of conditional expression (20-1) is same as the technical significance of conditional expression (20).

BY satisfying conditional expressions (16) and (20-1), and conditional expression (25) that will be described later, it is possible to correct the chromatic aberration more favorably while securing the required lens thickness, and while carrying out enlargement of the numerical aperture on the object side and shortening of the overall length of the optical system.

Here, it is preferable that the following conditional expression (20-1′) is satisfied instead of conditional expression (20-1).

1.33<2×(WD×tan(sin⁻¹NA)+Y_obj)/φ_s<4.75 (20-1′)

Moreover, it is more preferable that the following conditional expression (20-1″) is satisfied instead of conditional expression (20-1).

1.78<2×(WD×tan(sin⁻¹NA)+Y_obj)/φ_s<4.51 (20-1″)

Furthermore, it is even more preferable that the following conditional expression (20-1′″) is satisfied instead of conditional expression (20-1).

2.37<2×(WD×tan(sin⁻¹NA)+Y_obj)/φ_s<4.29 (20-1′″)

In the optical system according to the present embodiment, it is preferable that the following conditional expression (21) is satisfied:

0.01<D_max/φ_s<3.0 (21)

where,

D_maxdenotes a maximum distance from among distances on the optical axis of adjacent lenses in the optical system, and

φ_sdenotes a diameter of the stop.

By satisfying conditional expression (21), it is possible to correct a chromatic coma more favorably.

By making so as not to fall below a lower limit value of conditional expression (21), it is possible to reduce deterioration of aberration due to a manufacturing error. For instance, decentering of a lens at the time of lens assembling is an example of the manufacturing error.

By making so as not to exceed an upper limit value of conditional expression (21), even in a case in which, the numerical aperture on the object side is large, it is possible to suppress the height of the off-axis marginal ray with respect to the height of the axial marginal ray from changing substantially between the lenses. For instance, let two adjacent lenses be a lens L_Aand a lens L_B. The height of the off-axis marginal ray for the lens L_Aand the height of the off-axis marginal ray for the lens L_Bdiffer. However, by making a distance between the lens L_Aand the lens L_Bappropriate, it is possible to reduce the difference between the height of the off-axis marginal ray for the lens L_Aand the height of the off-axis marginal ray for the lens L_B. As a result, since it is possible to reduce a difference between the chromatic aberration for an off-axis light beam incident on the lens L_Aand the chromatic aberration for an off-axis light beam incident on the lens L_B, it is possible to suppress an occurrence of the chromatic coma.

By satisfying conditional expressions (20) and (21), it is possible to correct the chromatic coma more favorably while carrying out enlargement of the numerical aperture on the object side and shortening of the overall length of the optical system, and while securing appropriately the thickness of the optical components forming the optical system.

Moreover, by satisfying conditional expression (21), and conditional expressions (23-1) and (24-1) which will be described later, it is possible to correct the chromatic coma favorably while securing appropriately the thickness of the optical components forming the optical system, and besides, it is possible to achieve both, enlargement of the numerical aperture on the object side and shortening of the overall length of the optical system.

By satisfying conditional expressions (18) and (21), it is possible to correct the chromatic coma more favorably while carrying out enlargement of the numerical aperture on the object side and shortening of the overall length of the optical system, and while securing appropriately the thickness of the optical components forming the optical system.

Here, it is preferable that the following conditional expression (21′) is satisfied instead of conditional expression (21).

0.01<D_max/φ_s<2.85 (21′)

Moreover, it is more preferable that the following conditional expression (21″) is satisfied instead of conditional expression (21).

0.02<D_max/φ_s<2.50 (21″)

Furthermore, it is even more preferable that the following conditional expression (21′″) is satisfied instead of conditional expression (21).

0.03<D_max/φ_s<2.0 (21′″)

In the optical system according to the present embodiment, it is preferable that the following conditional expression (22) is satisfied:

0.01≦D_G1max/φ_s<2.0 (22)

where,

D_G1maxdenotes a maximum distance from among distances on the optical axis of the adjacent lenses in the first lens unit, and

φ_sdenotes a diameter of the stop.

By satisfying conditional expression (22), it is possible to correct a chromatic coma more favorably.

By making so as not to fall below a lower limit value of conditional expression (22), it is possible to reduce deterioration of aberration due to a manufacturing error. For instance, decentering of a lens at the time of lens assembling is an example of the manufacturing error.

By making so as not to exceed an upper limit value of conditional expression (22), even in a case in which, the numerical aperture on the object side is large, it is possible to suppress the height of the off-axis marginal ray with respect to the height of the axial marginal ray from changing substantially between the lenses. For instance, let two adjacent lenses be a lens L_Aand a lens L_B. The height of the off-axis marginal ray for the lens L_Aand the height of the off-axis marginal ray for the lens L_Bdiffer. However, by making a distance between the lens L_Aand the lens L_Bappropriate, it is possible to reduce the difference between the height of the off-axis marginal ray for the lens L_Aand the height of the off-axis marginal ray for the lens L_B. As a result, since it is possible to reduce a difference between the chromatic aberration for an off-axis light beam incident on the lens L_Aand the chromatic aberration for an off-axis light beam incident on the lens L_B, it is possible to suppress an occurrence of the chromatic coma.

By satisfying conditional expressions (20) and (22), it is possible to correct the chromatic coma more favorably while carrying out enlargement of the numerical aperture on the object side and shortening of the overall length of the optical system, and while securing appropriately the thickness of the optical components forming the optical system.

Moreover, by satisfying conditional expression (22), and conditional expressions (23-1) and (24-1) which will be described later, it is possible to correct the chromatic coma favorably while securing appropriately the thickness of the optical components forming the optical system, and besides, it is possible to achieve both, enlargement of the numerical aperture on the object side and shortening of the overall length of the optical system.

By satisfying conditional expressions (18) and (22), it is possible to correct the chromatic coma more favorably while carrying out enlargement of the numerical aperture on the object side and shortening of the overall length of the optical system, and while securing appropriately the thickness of the optical components forming the optical system.

Here, it is preferable that the following conditional expression (22′) is satisfied instead of conditional expression (22).

0.01≦D_G1max/φ_s<1.80 (22′)

Moreover, it is more preferable that the following conditional expression (22″) is satisfied instead of conditional expression (22).

0.02≦D_G1max/φ_s<1.62 (22″)

Furthermore, it is even more preferable that the following conditional expression (22′″) is satisfied instead of conditional expression (22).

0.03≦D_G1max/φ_s<1.46 (22′″)

In the optical system according to the eighth embodiment and the optical system according to the tenth embodiment, it is preferable that the following conditional expression (23) is satisfied:

0.4<L_L/D_oi (23)

where,

L_Ldenotes a distance on the optical axis from the object-side surface of the first object-side lens up to the image-side surface of the second image-side lens, and

D_oidenotes a distance on the optical axis from the object up to the image.

By making so as not to fall below a lower limit value of conditional expression (23), even in an optical system having the overall length shortened, since it becomes possible to change the height of the principal ray emerged from a periphery of the object and reaching a periphery of the image comparatively gradually, it is possible to prevent a radius of curvature (paraxial radius of curvature) of a lens in the optical system from becoming excessively small. As a result, it is possible to suppress the occurrence of the longitudinal chromatic aberration and the chromatic aberration of magnification.

Moreover, by satisfying conditional expressions (20) and (23), even in an optical system having the overall length shortened as well as the numerical aperture on the object side enlarged, it is possible to correct the longitudinal chromatic aberration and the chromatic aberration of magnification more favorably.

By satisfying conditional expression (23), and conditional expression (25) that will be described later, even in an optical system having the overall length shortened as well as the numerical aperture on the object side enlarged, it is possible to correct the longitudinal chromatic aberration and the chromatic aberration of magnification more favorably.

It is preferable that the following conditional expression (23′) is satisfied instead of conditional expression (23).

0.42<L_L/D_oi<0.99 (23′)

Moreover, it is more preferable that the following conditional expression (23″) is satisfied instead of conditional expression (23).

0.44<L_L/D_oi<0.98 (23″)

Furthermore, it is even more preferable that the following conditional expression (23′″) is satisfied instead of conditional expression (23).

0.47<L_L/D_oi<0.97 (23′″)

In the optical system according to the ninth embodiment, it is preferable that the following conditional expression (23-1) is satisfied:

0.6≦L_L/D_oi (23-1)

L_Ldenotes a distance on the optical axis from an object-side surface of the first object-side lens up to an image-side surface of the second image-side lens, and

D_oidenotes a distance on the optical axis from the object to an image.

A technical significance of conditional expression (23-1) is same as the technical significance of conditional expression (23).

By satisfying conditional expression (23-1), and conditional expression (24-1) that will be described later, it is possible to achieve both, the favorable correction of the chromatic aberration (longitudinal chromatic aberration and chromatic aberration of magnification) in particular, and shortening of the overall length of the optical system.

Here, it is preferable that the following conditional expression (23-1′) is satisfied instead of conditional expression (23-1).

0.63<L_L/D_oi<0.99 (23-1′)

Moreover, it is more preferable that the following conditional expression (23-1″) is satisfied instead of conditional expression (23-1).

0.66<L_L/D_oi<0.98 (23-1″)

Furthermore, it is even more preferable that the following conditional expression (23-1′″) is satisfied instead of conditional expression (23-1).

0.70<L_L/D_oi<0.97 (23-1′″)

In the optical system according to the eighth embodiment and the optical system according to the tenth embodiment, it is preferable that the following conditional expression (24) is satisfied:

0.01<1/νd_min−1/νd_max (24)

where,

νd_mindenotes a smallest Abbe's number from among Abbe's numbers for lenses forming the optical system, and

νd_maxdenotes a largest Abbe's number from among Abbe's numbers for lenses forming the optical system.

By making so as not to fall below a lower limit value of conditional expression (24), it is possible to correct the longitudinal chromatic aberration and the chromatic aberration of magnification favorably. In a case in which, the optical system includes a diffractive optical element, a lens which forms the diffractive optical element is to be excluded from the ‘lenses forming the optical system’ in conditional expression (24).

By satisfying conditional expressions (20) and (24), even in an optical system having the overall length shortened as well as the numerical aperture on the object side enlarged, it is possible to correct the longitudinal chromatic aberration and the chromatic aberration of magnification more favorably.

By satisfying conditional expression (24), and conditional expression (25) that will be described later, even in the optical system having the overall length shortened as well as the numerical aperture on the object side enlarged, it is possible to correct the longitudinal chromatic aberration and the chromatic aberration of magnification more favorably.

Here, it is preferable that the following conditional expression (24′) is satisfied instead of conditional expression (24).

0.012<1/νd_min−1/νd_max<0.050 (24′)

Moreover, it is more preferable that the following conditional expression (24″) is satisfied instead of conditional expression (24).

0.014<1/νd_min−1/νd_max<0.040 (24″)

Furthermore, it is even more preferable that the following conditional expression (24′″) is satisfied instead of conditional expression (24).

0.016<1/νd_min−1/νd_max<0.035(24′″)

In the optical system according to the ninth embodiment, it is preferable that the following conditional expression (24-1) is satisfied:

0.015<1/νd_min−1/νd_max (24-1)

where,

νd_mindenotes a smallest Abbe's number from among Abbe's numbers for lenses forming the optical system, and

νd_maxdenotes a largest Abbe's number from among the Abbe's numbers for lenses forming the optical system.

A technical significance of conditional expression (24-1) is same as the technical significance of conditional expression (24).

By satisfying conditional expressions (15-1), (16), and (24-1), it is possible to correct the longitudinal chromatic aberration and the chromatic aberration of magnification favorably. As a result, it is possible to observe a microscopic structure of a sample with a high resolution, even in color.

Here, it is preferable that the following conditional expression (24-1′) is satisfied instead of conditional expression (24-1).

0.017<1/νd_min−1/νd_max<0.050 (24-1′)

Moreover, it is more preferable that the following conditional expression (24-1″) is satisfied instead of conditional expression (24-1).

0.019<1/νd_min−1/νd_max<0.040 (24-1″)

Furthermore, it is even more preferable that the following conditional expression (24-1′″) is satisfied instead of conditional expression (24-1).

0.021<1/νd_min−1/νd_max<0.035(24-1′″)

In the optical system according to the eighth embodiment and the optical system according to the tenth embodiment, it is preferable that the following conditional expression (25) is satisfied:

0.15<D_os/D_oi<0.8 (25)

where,

D_osdenotes a distance on the optical axis from the object up to the stop, and

D_oidenotes a distance on the optical axis from the object up to the image.

By making so as not to fall below a lower limit value of conditional expression (25), it is possible to maintain appropriately the positive refractive power of the first lens unit while securing an appropriate thickness in lenses forming the first lens unit. As a result, it is possible to correct the chromatic aberration favorably while correcting a monochromatic aberration such as the curvature of field in the first lens unit. Moreover, as it is possible to correct the longitudinal chromatic aberration in the first lens unit favorably, an excessive correction of the longitudinal chromatic aberration in the second lens unit becomes unnecessary. Accordingly, since the chromatic aberration of magnification in the second lens unit can be corrected favorably, it is possible to correct the chromatic aberration of magnification in the overall optical system favorably.

By making so as not to exceed an upper limit value of conditional expression (25), since it becomes possible to change the height of the principal ray emerged from the stop and reaching a periphery of the image comparatively gradually, it is possible to prevent a radius of curvature of a lens in the second lens unit from becoming excessively small. Therefore, it is possible to correct also the chromatic aberration favorably while correcting the monochromatic aberration such as the curvature of field in the second lens unit.

By satisfying conditional expressions (16), (19), (20), and (25), it is possible to correct the chromatic aberration more favorably while suppressing an occurrence of the monochromatic aberration such as the curvature of field, and while carrying out enlargement of the numerical aperture on the object side and shortening of the overall length of the optical system.

By satisfying conditional expressions (18) and (25), it is possible to realize simultaneously, enlargement of the numerical aperture on the object side, shortening of the overall length of the optical system, and favorable correction of the chromatic aberration, while suppressing the occurrence of the monochromatic aberration such as the curvature of field.

Here, it is preferable to that following conditional expression (25′) is satisfied instead of conditional expression (25).

0.19<D_os/D_oi<0.76 (25′)

Moreover, it is more preferable that the following conditional expression (25″) is satisfied instead of conditional expression (25).

0.21<D_os/D_oi<0.72 (25″)

Furthermore, it is even more preferable that the following conditional expression (25′″) is satisfied instead of conditional expression (25).

0.35<D_os/D_oi<0.69 (25′″)

In the optical system according to the ninth embodiment, it is preferable that the following conditional expression (25-1) is satisfied:

0.15<D_os/D_oi<0.65 (25-1)

where,

D_osdenotes a distance on an optical axis from the object up to the stop, and

D_oidenotes a distance on the optical axis from the object up to an image.

A technical significance of conditional expression (25-1) is same as the technical significance of conditional expression (25).

By satisfying conditional expressions (23-1), (24-1), and (25-1), it is possible to correct the longitudinal chromatic aberration and the chromatic aberration of magnification more favorably while carrying out enlargement of the numerical aperture on the object side and shortening of the overall length of the optical system.

Here, it is preferable that the following conditional expression (25-1′) is satisfied instead of conditional expression (25-1).

0.17<D_os/D_oi<0.62 (25-1′)

Moreover, it is more preferable that the following conditional expression (25-1″) is satisfied instead of conditional expression (25-1).

0.21<D_os/D_oi<0.59 (25-1″)

Furthermore, it is even more preferable that the following conditional expression (25-1′″) is satisfied instead of conditional expression (25-1).

0.35<D_os/D_oi<0.56(25-1′″)

In the optical system according to the present embodiment, it is preferable that the following conditional expression (26) is satisfied:

0.95</φ_G1o/(2×Y/|β|) (26)

where,

φ_G1odenotes an effective diameter of the object-side surface of the first object-side lens,

Y denotes a maximum image height in an overall optical system, and

β denotes an imaging magnification of the optical system.

By making so as not to fall below a lower limit value of conditional expression (26), it is possible to make small a difference in angles of incidence when the off-axis marginal ray is incident on the lens, or in other words, to make small a difference in an angle of incidence of an upper-side light ray and an angle of incidence of a lower-side light ray. Accordingly, it is possible to correct the coma and the chromatic coma favorably. Moreover, in an optical system having the numerical aperture on the object side enlarged, it is possible to correct the coma and the chromatic coma favorably.

Here, it is preferable that the following conditional expression (26′) is satisfied instead of conditional expression (26).

1.00<φ_G1o/(2×Y/|β|)<10.00 (26′)

Moreover, it is more preferable that the following conditional expression (26″) is satisfied instead of conditional expression (26).

1.05<φ_G1o/(2×Y/|β|)<7.00 (26″)

Furthermore, it is even more preferable that the following conditional expression (26′″) is satisfied instead of conditional expression (26).

1.11<φ_G1o/(2×Y/|β|)<5.00 (26′″)

In the optical system according to the present embodiment, it is preferable that the following conditional expression (27) is satisfied:

0<BF/L_L<0.4 (27)

where,

BF denotes a distance on an optical axis from the image-side surface of the second image-side lens up to the image, and

L_Ldenotes a distance on the optical axis from the object-side surface of the first object-side lens up to the image-side surface of the second image-side lens.

By making so as not to fall below a lower limit value of conditional expression (27), it is possible to increase a distance between the second image-side lens and the image pickup element. Accordingly, even when a ghost is generated due to multiple reflection between the second image-side lens and the image pickup element, it is possible to prevent the ghost from being incident on a surface of the image pickup element with a high density.

By making so as not to exceed an upper limit value of conditional expression (27), it is possible to prevent occupancy of a space of the back focus with respect to the overall length of the optical system from becoming excessively large. Accordingly, since there is an increase in a degree of freedom of positions at the time of disposing the lenses, it is possible to correct various aberrations favorably. For instance, by disposing a lens having a function of correcting chromatic aberration in the first lens unit and the second lens unit, and adjusting a positional relationship of these lenses, it is possible to achieve both, the favorable correction of the longitudinal chromatic aberration and the favorable correction of the chromatic aberration of magnification.

By satisfying conditional expressions (16), (19), (20), and (27), it is possible to correct the longitudinal chromatic aberration and the chromatic aberration of magnification more favorably while carrying out enlargement of the numerical aperture on the object side and shortening of the overall length of the optical system.

By satisfying conditional expressions (23-1), (24-1), and (27), it is possible to correct the longitudinal chromatic aberration and the chromatic aberration of magnification more favorably while carrying out enlargement of the numerical aperture on the object side and shortening of the overall length of the optical system.

By satisfying conditional expressions (18) and (27), it is possible to correct the longitudinal chromatic aberration and the chromatic aberration of magnification more favorably while carrying out enlargement of the numerical aperture on the object side and shortening of the overall length of the optical system.

Here, it is preferable that the following conditional expression (27′) is satisfied instead of conditional expression (27).

0.01<BF/L_L<0.36 (27′)

Moreover, it is more preferable that the following conditional expression (27″) is satisfied instead of conditional expression (27).

0.02<BF/L_L<0.32 (27″)

Furthermore, it is even more preferable that the following conditional expression (27′″) is satisfied instead of conditional expression (27).

0.03<BF/L_L<0.28 (27′″)

In the optical system according to the present embodiment, it is preferable that the following conditional expression (28) is satisfied:

0<BF/Y<7.0 (28)

where,

BF denotes a distance on an optical axis from the image-side surface of the second image-side lens up to the image, and

Y denotes a maximum image height in an overall optical system.

By satisfying conditional expression (28), it is possible to correct an aberration more favorably, particularly an aberration in a peripheral portion of an image, while shortening the overall length of the optical system.

By making so as not to fall below a lower limit value of conditional expression (28), it is possible to increase a distance between the second image-side lens and the image pickup element. Accordingly, even when a ghost is generated due to multiple reflection between the second image-side lens and the image pickup element, it is possible to prevent the ghost from being incident on the surface of the image pickup element with a high density.

By making so as not to exceed an upper limit value of conditional expression (28), it is possible to prevent the occupancy of a space of the back focus with respect to the overall length of the optical system from becoming excessively large. Accordingly, since there is an increase in the degree of freedom of positions at the time of disposing the lenses, it is possible to correct various aberrations favorably. For instance, by disposing the lens having the function of correcting chromatic aberration in the first lens unit and the second lens unit, and adjusting a positional relationship of these lenses, it is possible to achieve both, the favorable correction of the longitudinal chromatic aberration and the favorable correction of the chromatic aberration of magnification.

Here, it is preferable that the following conditional expression (28′) is satisfied instead of conditional expression (28).

0.05<BF/Y<6.30 (28′)

Moreover, it is more preferable that the following conditional expression (28″) is satisfied instead of conditional expression (28).

0.10<BF/Y<5.67 (28″)

Furthermore, it is even more preferable that the following conditional expression (28′″) is satisfied instead of conditional expression (28).

0.15<BF/Y<5.10 (28′″)

In the optical system according to the eighth embodiment and the optical system according to the tenth embodiment, it is preferable that the following conditional expression (29) is satisfied:

−0.2<φ_G1o/R_G1o<3.0 (29)

where,

φ_G1odenotes an effective diameter of the object-side surface of the first object-side lens, and

R_G1odenotes a radius of curvature of the object-side surface of the first object-side lens.

In an optical system in which, the numerical aperture on the object side has been enlarged and the working distance made long, a diameter of a light beam incident on the first object-side lens is spread sufficiently. By making so as not to fall below a lower limit value of conditional expression (29), even in such optical system, it is possible to suppress the light beam that is incident, from being diverged. As a result, in a lens disposed on the image side of the first object-side lens, it is possible to suppress an occurrence of various aberrations such as the spherical aberration and the coma aberration.

By making so as not to exceed an upper limit value of conditional expression (29), since it is possible to prevent difference in angles of incidence when the off-axis marginal ray is incident on the lens, or in other words, to prevent the difference in an angle of incidence of an upper-side light ray and an angle of incidence of a lower-side light ray from becoming excessively large, it is possible to suppress the occurrence of the coma.

Particularly, in a case in which, the working distance has been secured sufficiently, in the optical system with the large numerical aperture on the object side, it is possible to correct various aberrations such as the coma more favorably while shortening the overall length of the optical system.

Here, it is preferable that the following conditional expression (29′) is satisfied instead of conditional expression (29).

−0.15<φ_G1o/R_G1o<2.10 (29′)

Moreover, it is more preferable that the following conditional expression (29″) is satisfied instead of conditional expression (29).

−0.10<φ_G1o/R_G1o<1.47 (29″)

Furthermore, it is even more preferable that the following conditional expression (29′″) is satisfied instead of conditional expression (29).

−0.05<φ_G1o/R_G1o<1.03 (29′″)

In the optical system according to the present embodiment, it is preferable that the second lens unit includes four lenses, and at least one of the four lenses in the second lens unit is a negative lens, and at least one of the four lenses in the second lens unit is a positive lens, and an object-side surface of the positive lens from among the positive lenses, which is positioned nearest to the object side, is a convex surface that is convex toward the object side.

By making such an arrangement, it is possible to correct various aberrations, particularly the chromatic aberration of magnification more favorably, while shortening the overall length of the optical system. In other words, it is possible to make an adjustment to position the principal point of the second lens unit on the object side, and to dispose a plurality of lenses having different optical characteristics. Therefore, it is possible to correct the chromatic aberration and other various aberrations in the second lens unit favorably while shortening a conjugate length (a distance from the object up to the image). As a result, it is possible to correct favorably various aberrations including the chromatic aberration of magnification in the overall optical system while shortening the overall length of the optical system.

In the optical system according to the present embodiment, it is preferable that the first lens unit includes a first image-side lens which is disposed nearest to the image side, and a distance of two lenses positioned on two sides of the stop is fixed, and the following conditional expression (30) is satisfied:

D
_G1G2/φ_s<2.0 (30)

where,

D_G1G2denotes a distance on the optical axis from the image-side surface of the first image-side lens up to the object-side surface of the second object-side lens, and

φ_sdenotes a diameter of the stop.

By satisfying conditional expression (30), it is possible to maintain appropriately a balance between a predetermined refraction effect in the first lens unit and a predetermined refraction effect in the second lens unit, while shortening the overall length of the optical system. As a result, it is possible to correct the chromatic aberration of magnification and other off-axis aberrations more favorably. The predetermined refraction effect is same as the predetermined refraction effect described in conditional expression (20).

By making so as not to exceed an upper limit value of conditional expression (30), it is possible to make the optical system thin while preventing an angle of incidence of an off-axis light beam incident on the second lens unit from becoming excessively small. Therefore, it is possible to suppress the predetermined refraction effect in the first lens unit from becoming excessively large, and moreover not to let the predetermined refraction effect in the second lens unit become excessively small, while maintaining the required imaging magnification. Accordingly, since it is possible to maintain appropriately the balance between the predetermined refraction effect in the first lens unit and the predetermined refraction effect in the second lens unit, it is possible to correct the chromatic aberration of magnification and other off-axis aberrations more favorably.

Here, it is preferable that the following conditional expression (30′) is satisfied instead of conditional expression (30).

0.01<D_G1G2/φ_s<1.80 (30′)

Moreover, it is more preferable that the following conditional expression (30″) is satisfied instead of conditional expression (30).

0.03<D_G1G2/φ_s<1.53 (30″)

Furthermore, it is even more preferable that the following conditional expression (30′″) is satisfied instead of conditional expression (30).

0.05<D_G1G2/<1.30 (30′″)

In the optical system according to the eighth embodiment and the optical system according to the ninth embodiment, it is preferable that the following conditional expression (31) is satisfied:

0.1<L_G1/L_G2<1.5 (31)

where,

L_G1denotes a distance on the optical axis from the object-side surface of the first object-side lens up to an image-side surface of the first image-side lens, and

L_G2denotes a distance on the optical axis from an object-side surface of the second object-side lens up to the image side surface of the second image-side lens.

By making so as not to fall below a lower limit value of conditional expression (31), it is possible to maintain appropriately the positive refractive power of the first lens unit while securing the appropriate thickness of lenses forming the first lens unit. Therefore, it is possible to position the principal point on the object side and to shorten the overall length of the optical system while correcting the longitudinal chromatic aberration favorably.

By making so as not to exceed an upper limit value of conditional expression (31), in a case of securing the appropriate working distance, since it is possible to change the height of a principal ray emerged from the stop and reaching the periphery of the image in the second lens unit comparatively gradually, it is possible to prevent a radius of curvature of a lens in the second lens unit from becoming excessively small. Therefore, it is possible to correct the chromatic aberration of magnification more favorably.

By satisfying conditional expressions (16), (19), (20), and (31), it is possible to correct the longitudinal chromatic aberration and the chromatic aberration of magnification more favorably while securing sufficient working distance, and while carrying out enlargement of the numerical aperture on the object side and shortening of the overall length of the optical system.

By satisfying conditional expressions (23-1), (24-1), and (31), it is possible to correct the longitudinal chromatic aberration and the chromatic aberration of magnification more favorably while carrying out enlargement of the numerical aperture on the object side and shortening of the overall length of the optical system.

Here, it is preferable that the following conditional expression (31′) is satisfied instead of conditional expression (31).

0.14<L_G1/L_G2<1.43 (31′)

Moreover, it is more preferable that the following conditional expression (31″) is satisfied instead of conditional expression (31).

0.20<L_G1/L_G2<1.35 (31″)

Furthermore, it is even more favorable that the following conditional expression (31′″) is satisfied instead of conditional expression (31).

0.29<L_G1/L_G2<1.29 (31′″)

In the optical system according to the tenth embodiment, it is preferable that the following conditional expression (31-1) is satisfied:

0.1<L_G1/L_G2<1.4 (31-1)

where,

L_G1denotes a distance on the optical axis from the object-side surface of the first object-side lens up to an image-side surface of the first image-side lens, and

L_G2denotes a distance on the optical axis from an object-side surface of the second object-side lens up to the image side surface of the second image-side lens.

A technical significance of conditional expression (31-1) is same as the technical significance of conditional expression (31).

By satisfying conditional expressions (18) and (31-1), it is possible to correct the longitudinal chromatic aberration and the chromatic aberration of magnification more favorably while securing the appropriate working distance, and while carrying out enlargement of the numerical aperture on the object side and shortening of the overall length of the optical system.

Here, it is preferable that the following conditional expression (31-1′) is satisfied instead of conditional expression (31-1).

0.14<L_G1/L_G2<1.33 (31-1′)

Moreover, it is more preferable that the following conditional expression (31-1″) is satisfied instead of conditional expression (31-1).

0.20<L_G1/L_G2<1.26 (31-1″)

Furthermore, it is even more preferable that the following conditional expression (31-1′″) is satisfied instead of conditional expression (31-1).

0.29<L_G1/L_G2<1.20 (31-1′″)

In the optical system according to the present embodiment, it is preferable that the following conditional expression (32) is satisfied:

0.1<L_G1s/L_sG2<1.5 (32)

where,

L_G1sdenotes a distance on the optical axis from the object-side surface of the first object-side lens up to the stop, and

L_sG2denotes a distance on the optical axis from the stop up to the image side surface of the second image-side lens.

By satisfying conditional expression (32), it is possible to correct more favorably an aberration in a peripheral portion of the image, particularly the chromatic aberration of magnification while shortening the overall length of the optical system.

By making so as not to fall below a lower limit value of conditional expression (32), it is possible to secure sufficiently a space for disposing the first lens unit. Accordingly, it is possible to secure an appropriate thickness in lenses forming the first lens unit, and to increase a degree of freedom of selection of curvature of a lens surface, and to dispose a large number of lenses having different optical characteristics. Therefore, it is possible to correct also the chromatic aberration favorably while correcting the monochromatic aberration in the first lens unit. Moreover, as it is possible to correct the longitudinal chromatic aberration in the first lens unit favorably, an excessive correction of the longitudinal chromatic aberration in the second lens unit becomes unnecessary. Accordingly, since the chromatic aberration of magnification in the second lens unit can be corrected favorably, it is possible to correct the chromatic aberration of magnification in the overall optical system favorably.

By making so as not to exceed an upper limit value of conditional expression (32), it is possible to secure sufficiently a space for disposing the second lens unit. Accordingly, it is possible to secure an appropriate thickness in lenses forming the second lens unit, and to increase a degree of freedom of selection of curvature of a lens surface, and to dispose a large number of lenses having different optical characteristics. Therefore, it is possible to correct also the chromatic aberration favorably while correcting the monochromatic aberration in the second lens unit. Moreover, as it is possible to correct the longitudinal chromatic aberration in the second lens unit favorably, an excessive correction of the longitudinal chromatic aberration in the first lens unit becomes unnecessary. Accordingly, since the chromatic aberration of magnification in the first lens unit can be corrected favorably, it is possible to correct the chromatic aberration of magnification in the overall optical system favorably.

Here, it is preferable that the following conditional expression (32′) is satisfied instead of conditional expression (32).

0.14<L_G1s/L_sG2<1.35 (32′)

Moreover, it is more preferable that the following conditional expression (32″) is satisfied instead of conditional expression (32).

0.20<L_G1s/L_sG2<1.22 (32″)

Furthermore, it is even more preferable that the following conditional expression (32′″) is satisfied instead of conditional expression (32).

0.29<L_G1s/L_sG2<1.09 (32′″)

In the optical system according to the present embodiment, it is preferable that the following conditional expression (33) is satisfied:

0.8≦φ_G1max/φ_G2max<5.0 (33)

where,

φ_G1maxdenotes a maximum effective diameter from among effective diameter of lenses in the first lens unit, and

φ_G2maxdenotes a maximum effective diameter from among effective diameter of lenses in the second lens unit.

By satisfying conditional expression (33), it is possible to maintain appropriately the balance between a predetermined refraction effect in the first lens unit and a predetermined refraction effect in the second lens unit while shortening the overall length of the optical system. As a result, it is possible to correct the chromatic aberration of magnification and other off-axis aberrations more favorably.

By making so as not to fall below a low limit value of conditional expression (33), it is possible to make the optical system thin while preventing a diameter of a lens forming the first lens unit from becoming excessively small. Therefore, in a region on the object side of the first lens unit, it is possible to prevent a light ray height of an off-axis light beam from becoming excessively low. Accordingly, since it is possible to secure appropriately a space in an optical axial direction of the first lens unit, it is possible to correct the chromatic aberration of magnification favorably.

By making so as not to exceed an upper limit value of conditional expression (33), it is possible to make the optical system thin while preventing a diameter of a lens forming the second lens unit from becoming excessively small. In this case, since it is not necessary any more to make an angle of incidence of an off-axis light beam that is incident on the second lens unit excessively small, it is possible to suppress the predetermined refraction effect in the first lens unit from becoming excessively large, and moreover not to let the predetermined refraction effect in the second lens unit become excessively small while maintaining the required imaging magnification. In such manner, since it is possible to maintain appropriately the balance between the predetermined refraction effect in the first lens unit and the predetermined refraction effect in the second lens unit, it is possible to correct the chromatic aberration of magnification and other off-axis aberrations more favorably.

Here, it is preferable that the following conditional expression (33′) is satisfied instead of conditional expression (33).

0.84≦φ_G1max/φ_G2max<4.50 (33′)

Moreover, it is more preferable that the following conditional expression (33″) is satisfied instead of conditional expression (33).

0.88≦φ_G1max/φ_G2max<3.50 (33″)

Furthermore, it is even more preferable that the following conditional expression (33′″) is satisfied instead of conditional expression (33).

0.93≦φ_G1max/φ_G2max<2.50 (33′″)

In the optical system according to the present embodiment, it is preferable that the following conditional expression (34) is satisfied:

0.5<D_os/L_G1<4.0 (34)

where,

D_osdenotes a distance on an optical axis from the object up to the stop, and

L_G1denotes a distance on the optical axis from the object-side surface of the first object-side lens up to the image-side surface of the first image-side lens.

By making so as not to fall below a lower limit value of conditional expression (34), it is possible to secure sufficiently a space for disposing the second lens unit. Accordingly, it is possible to secure an appropriate thickness in lenses forming the second lens unit, and to increase a degree of freedom of selection of curvature of a lens surface, and to dispose a large number of lenses having different optical characteristics. Therefore, it is possible to correct also the chromatic aberration favorably while correcting the monochromatic aberration in the second lens unit. Moreover, as it is possible to correct the longitudinal chromatic aberration in the second lens unit favorably, an excessive correction of the longitudinal chromatic aberration in the first lens unit becomes unnecessary. Accordingly, since the chromatic aberration of magnification in the first lens unit can be corrected favorably, it is possible to correct the chromatic aberration of magnification in the overall optical system favorably.

By making so as not to exceed an upper limit value of conditional expression (34), it is possible to secure sufficiently a space for disposing the first lens unit. Accordingly, it is possible to secure an appropriate thickness in lenses forming the first lens unit, and to increase a degree of freedom of selection of curvature of a lens surface, and to dispose a large number of lenses having different optical characteristics. Therefore, it is possible to correct also the chromatic aberration favorably while correcting the monochromatic aberration in the first lens unit. Moreover, as it is possible to correct the longitudinal chromatic aberration in the first lens unit favorably, an excessive correction of the longitudinal chromatic aberration in the second lens unit becomes unnecessary. Accordingly, since the chromatic aberration of magnification in the second lens unit can be corrected favorably, it is possible to correct the chromatic aberration of magnification in the overall optical system favorably.

By satisfying conditional expressions (16), (19), (20), and (34), it is possible to correct the chromatic aberration of magnification more favorably while carrying out enlargement of the numerical aperture on the object side and shortening of the overall length of the optical system.

By satisfying conditional expressions (23-1), (24-1), and (34), it is possible to correct the longitudinal chromatic aberration and the chromatic aberration of magnification more favorably while carrying out enlargement of the numerical aperture on the object side and shortening of the overall length of the optical system.

By satisfying conditional expressions (18) and (34), it is possible to correct the chromatic aberration of magnification more favorably while carrying out enlargement of the numerical aperture on the object side and shortening of the overall length of the optical system.

Here, it is preferable that the following conditional expression (34′) is satisfied instead of conditional expression (34).

0.7<D_os/L_G1<3.8 (34′)

Moreover, it is more preferable that the following conditional expression (34″) is satisfied instead of conditional expression (34).

1.0<D_os/L_G1<3.6 (34″)

Furthermore, it is even more preferable that the following conditional expression (34′″) is satisfied instead of conditional expression (34).

1.5<D_os/L_G1<3.4 (34′″)

In the optical system according to the present embodiment, it is preferable that the following conditional expressions (35) and (36) are satisfied:

1.0<D_ENP/Y (35)

0≦CRA_obj/CRA_img<0.5 (36)

where,

D_ENPdenotes a distance on the optical axis from a position of an entrance pupil of the optical system up to the object-side surface of the first object-side lens,

Y denotes a maximum image height in an overall optical system,

CRA_objdenotes a maximum angle from among angles made by a principal ray that is incident on the first object-side lens, with the optical axis, and

CRA_imgdenotes a maximum angle from among angles made by a principal ray that is incident on an image plane, with the optical axis, and

an angle measured in a direction of clockwise rotation is let to be a negative angle, and an angle measured in a direction of counterclockwise rotation is let to be a positive angle.

By making so as not to fall below a lower limit value of conditional expression (36), since an angle of incidence of an off-axis light beam on an image pickup surface does not become excessively large, it is possible to prevent degradation of an amount of light at periphery more efficiently.

By making so as not to exceed an upper limit value of conditional expression (36), a divergence effect is imparted to a region near an image side of the optical system, and it is possible to make an arrangement of the optical system to be of a telephoto type. As a result, it is possible to shorten the overall length of the optical system.

Satisfying conditional expressions (16), (19), (20), (35), and (36) is advantageous for favorable correction of the chromatic aberration and for shortening the overall length of the optical system while securing the amount of light at periphery.

Satisfying conditional expressions (23-1), (24-1), (35), and (36) is advantageous for favorable correction of the chromatic aberration, and for shortening the overall length of the optical system while securing the amount of light at periphery.

Satisfying conditional expressions (18), (35), and (36) is advantageous for favorable correction of the chromatic aberration, and for shortening the overall length of the optical system while securing the amount of light at periphery.

Here, it is preferable that the following conditional expression (36′) is satisfied instead of conditional expression (36).

0.01≦CRA_obj/CRA_img<0.48 (36′)

Moreover, it is more preferable that the following conditional expression (36″) is satisfied instead of conditional expression (36).

0.02≦CRA_obj/CRA_img<0.46 (36″)

Furthermore, it is even more preferable that the following conditional expression (36′″) is satisfied instead of conditional expression (36).

0.03≦CRA_obj/CRA_img<0.44 (36′″)

In the optical system according to the present embodiment, it is preferable that the first lens unit includes the first object-side lens, and a lens which disposed to be adjacent to the first object-side lens, and at least one of the first object-side lens and the lens disposed to be adjacent to the first object-side lens has a positive refractive power.

By one of the first object-side lens and the lens disposed to be adjacent to the first object-side lens, on the image side of the first object-side lens, having a positive refractive power, it is possible to position the principal point of the first lens unit on the object side. As a result, it is possible to secure the working distance sufficiently. The first object-side lens and the lens disposed to be adjacent to the first object-side lens, on the image side of the first object-side lens may be in separated state or may be in cemented state.

In the optical system according to the eighth embodiment and the optical system according to the tenth embodiment, it is preferable that the first object-side lens has a positive refractive power. Moreover, it is preferable that the following conditional expression (37) is satisfied:

0.05<f_G1o/f (37)

where,

f_G1odenotes a focal length of the first object-side lens, and

f denotes a focal length of an overall optical system.

In the optical system which satisfies conditional expression (20), by imparting the positive refractive power to the first object-side lens, a height of the off-axis marginal ray can be suppressed while positioning the principal point of the first lens unit on the object side. Therefore, it is possible to achieve both, enlargement of the numerical aperture on the object side and shortening of the overall length of the optical system. Furthermore, by satisfying conditional expression (37), it is possible to suppress the occurrence of the spherical aberration and the coma more effectively.

In the optical system which satisfies conditional expression (25), by imparting the positive refractive power to the first object-side lens, the height of the off-axis marginal ray can be suppressed while positioning the principal point of the first lens unit on the object side. Therefore, it is possible to achieve both, enlargement of the numerical aperture on the object side and shortening of the overall length of the optical system. Furthermore, by satisfying conditional expression (37), it is possible to suppress the occurrence of the spherical aberration and the coma more effectively.

Here, it is preferable that the following conditional expression (37′) is satisfied instead of conditional expression (37).

0.06<f_G1o/f<50.00 (37′)

Moreover, it is more preferable that the following conditional expression (37″) is satisfied instead of conditional expression (37).

0.07<f_G1o/f<25.00 (37″)

Furthermore, it is even more preferable that the following conditional expression (37′″) is satisfied instead of conditional expression (37).

0.10<f_G1o/f<20.00 (37′″)

In the optical system according to the ninth embodiment, it is preferable that the first object-side lens has a negative refractive power. Moreover, it is preferable that the following conditional expression (37-1) is satisfied:

f
_G1o
/f<−0.01 (37-1)

where,

f_G1odenotes a focal length of the first object-side lens, and

f denotes a focal length of an overall optical system.

In the optical system which satisfies conditional expressions (23-1) and (24-1), by imparting the negative refractive power to the first object-side lens, it is possible to secure sufficiently a space for disposing the first lens unit, as well as to maintain appropriately a height of the off-axis marginal ray in a region on the object side of the first lens unit. Furthermore, by satisfying conditional expression (37-1), it is possible to suppress the off-axis marginal ray from being diverged excessively. Accordingly, it is possible to correct aberrations such as the chromatic aberration of magnification favorably.

Here, it is preferable that the following conditional expression (37-1′) is satisfied instead of conditional expression (37-1).

−500.00<f_G1o/f<−0.02 (37-1′)

Moreover, it is more preferable that the following conditional expression (37-1″) is satisfied instead of conditional expression (37-1).

−250.00<f_G1o/f<−0.04 (37-1″)

Furthermore, it is even more preferable that the following conditional expression (37-1′″) is satisfied instead of conditional expression (37-1).

−100.00<f_G1o/f<−0.08 (37-1′″)

In the optical system according to the eighth embodiment and the optical system according to the tenth embodiment, it is preferable that the object-side surface of the first object-side lens is convex toward the object side. Moreover, it is preferable that the following conditional expression (38) is satisfied:

0.02<R_G1o/WD (38)

where,

R_G1odenotes a radius of curvature of the object-side surface of the first object-side lens, and

WD denotes a distance on an optical axis from the object up to an object-side side surface of the first object-side lens.

In the optical system which satisfies the conditional expression (20), by imparting the positive refractive power to the object-side surface of the first object-side lens, a height of the off-axis marginal ray can be suppressed while positioning the principal point of the first lens unit on the object side. Therefore, it is possible to achieve both, enlargement of the numerical aperture on the object side and shortening of the overall length of the optical system. Furthermore, by satisfying conditional expression (38), it is possible to suppress the occurrence of the spherical aberration and the coma more effectively.

In the optical system which satisfies the conditional expression (25), by imparting the positive refractive power to the object-side surface of the first object-side lens, the height of the off-axis marginal ray can be suppressed while positioning the principal point of the first lens unit on the object side. Therefore, it is possible to achieve both, enlargement of the numerical aperture on the object side and shortening of the overall length of the optical system. Furthermore, by satisfying conditional expression (38), it is possible to suppress the occurrence of the spherical aberration and the coma more effectively.

Here, it is preferable that the following conditional expression (38′) is satisfied instead of conditional expression (38).

0.02<R_G1o/WD<20.00 (38′)

Moreover, it is more preferable that the following conditional expression (38″) is satisfied instead of conditional expression (38).

0.03<R_G1o/WD<15.00 (38″)

Furthermore, it is even more preferable that the following conditional expression (38′″) is satisfied instead of conditional expression (38).

0.04<R_G1o/WD<10.00 (38′)

In the optical system according to the ninth embodiment, it is preferable that the object-side surface of the first object-side lens is concave toward the object side. Moreover, it is preferable that the following conditional expression (38-1) is satisfied:

R
_G1o
/WD<−0.1 (38-1)

where,

R_G1odenotes the radius of curvature of the object-side surface of the first object-side lens, and

WD denotes a distance on an optical axis from the object up to an object-side side surface of the first object-side lens.

In the optical system which satisfies conditional expressions (23-1) and (24-1), by imparting the negative refractive power to the object-side surface of the first object-side lens, it is possible to secure sufficiently a space for disposing the first lens unit, as well as to maintain appropriately the height of the off-axis marginal ray in a region on the object side of the first lens unit. Furthermore, by satisfying conditional expression (38-1), it is possible to suppress divergence of the off-axis marginal ray. Accordingly, it is possible to correct aberrations such as the chromatic aberration of magnification favorably.

Here, it is preferable that the following conditional expression (38-1′) is satisfied instead of conditional expression (38-1).

−250.00<R_G1o/WD<−0.14 (38-1′)

Moreover, it is more preferable that the following conditional expression (38-1″) is satisfied instead of conditional expression (38-1).

−100.00<R_G1o/WD<−0.20 (38-1″)

Furthermore, it is even more preferable that the following conditional expression (38-1′″) is satisfied instead of conditional expression (38-1).

−50.00<R_G1o/WD<−0.29 (38-1′″)

In the optical system according to the present embodiment, it is preferable that the second lens unit includes a predetermined lens unit nearest to the image, and the predetermined lens unit has a negative refractive power as a whole, and consists a single lens having a negative refractive power or two single lenses, and the two single lenses consist in order from the object side, a lens having a negative refractive power, and a lens having one of a positive refractive power and a negative refractive power.

In the optical system which satisfies conditional expression (20), by further disposing the predetermined lens unit, or in other words, a lens unit having a negative refractive power, at a position nearest to the image side of the second lens unit, it is possible to position the principal point on the object side. Accordingly, since it becomes possible to change the height of the principal ray emerged from the stop and reaching the periphery of the image in the second lens unit comparatively gradually while shortening the overall length of the optical system, it is possible to correct favorably the chromatic aberration of magnification in particular.

In the optical system which satisfies conditional expressions (21), (23-1), and (24-1), by further disposing the predetermined lens unit, or in other words, a lens unit having a negative refractive power, at a position nearest to the image side of the second lens unit, it is possible to position the principal point on the object side. Accordingly, since it becomes possible to change the height of the principal ray emerged from the stop and reaching the periphery of the image in the second lens unit comparatively gradually while shortening the overall length of the optical system, it is possible to correct favorably the chromatic aberration of magnification in particular.

In the optical system which satisfies conditional expressions (18) and (25), by further disposing the predetermined lens unit, or in other words, a lens unit having a negative refractive power, at a position nearest to the image side of the second lens unit, it is possible to position the principal point on the object side. Accordingly, since it becomes possible to change the height of the principal ray emerged from the stop and reaching the periphery of the image in the second lens unit comparatively gradually while shortening the overall length of the optical system, it is possible to correct favorably the chromatic aberration of magnification in particular.

In the optical system according to the present embodiment, it is preferable that an image-side surface of the second image-side lens is concave toward the image side, and that the following conditional expression (39) is satisfied:

0.1≦R_G2i/BF (39)

where,

R_G2idenotes a radius of curvature of the image-side surface of the second image-side lens, and

BF denotes a distance on the optical axis from an image-side surface of the second image-side lens up to the image.

Since it is possible to position the principal point of the second lens unit on the object side, it is possible to shorten the optical system while maintaining a favorable imaging performance.

Here, it is preferable that the following conditional expression (39′) is satisfied instead of conditional expression (39).

0.2<R_G2i/BF (39′)

Moreover, it is more preferable that the following conditional expression (39″) is satisfied instead of conditional expression (39).

0.4<R_G2i/BF (39″)

Furthermore, it is even more preferable that the following conditional expression (39′″) is satisfied instead of conditional expression (39).

0.8<R_G2i/BF (39′″)

In the optical system according to the present embodiment, it is preferable that the second lens unit includes a predetermined lens unit nearest to the image, and the positive lens is disposed on the object side of the predetermined lens unit, and the positive lens is disposed to be adjacent to the predetermined lens unit.

By disposing the positive lens on the object side of the predetermined lens unit, and disposing the positive lens to be adjacent to the predetermined lens unit, it is possible to suppress an angle of incidence of an off-axis light beam on the second lens unit from becoming large, while shortening the overall length of the optical system. As a result, since it is possible to prevent a height of a light ray of the off-axis light beam from becoming excessively high, it is possible to make the optical system thin. Moreover, although a distortion in a positive direction occurs due to a divergence effect in the predetermined lens unit, it is possible to correct the distortion favorably by the positive lens. The predetermined lens and the positive lens may be disposed separately, or may be cemented.

In the optical system according to the present embodiment, it is preferable that an image-side surface of the first image-side lens is concave toward the image side, and the following conditional expression (40) is satisfied:

0.2<R_G1i/D_G1is (40)

where,

R_G1idenotes a radius of curvature of the image-side surface of the first image-side lens, and

D_G1isdenotes a distance on the optical axis from the image-side surface of the first image-side lens up to the stop.

By making the image-side surface of the first image-side lens concave toward the image side, it is possible to position the principal point of the first lens unit on the object side. Accordingly, it is possible to secure an appropriate working distance. Moreover since a lens surface which is a concave surface is directed toward the stop, it is possible to suppress the occurrence of the coma in a peripheral portion of the image (position at which, the image height is high).

Furthermore, by satisfying conditional expression (40), since it is possible to maintain appropriately the divergence effect in a peripheral portion of the optical system, it is possible to suppress the occurrence of the chromatic coma.

Here, it is preferable that the following conditional expression (40′) is satisfied instead of conditional expression (40).

0.4<R_G1i/D_G1is (40′)

Moreover, it is more preferable that the following conditional expression (40″) is satisfied instead of conditional expression (40).

0.8<R_G1i/D_G1is (40″)

Furthermore, it is even more preferable that the following conditional expression (40′″) is satisfied instead of conditional expression (40).

1.6<R_G1i/D_G1is (40′″)

In the optical system according to the present embodiment, it is preferable that the first lens unit includes not less than three positive lenses, and at least two positive lenses from among the positive lenses are disposed to be adjacent, and an object-side surface in the two positive lenses disposed to be adjacent is a convex surface which is convex toward the object side.

By making such an arrangement, it is possible to distribute the positive refractive power in the first lens unit to three or more than three lenses, and to dispose each lens at a different position. As a result, it is possible to converge a light beam incident with a high numerical aperture while suppressing an occurrence of aberration, and to correct the curvature of field and the chromatic aberration of magnification favorably. Furthermore, by disposing two of the three or more than three lenses to be adjacent, and letting the object-side surface to be a convex surface convex toward the object side, it is possible to correct the spherical aberration favorably.

In the optical system according to the present embodiment, it is preferable that from among the three or more than three positive lenses, at least one positive lens is an aspherical lens, and at least one surface of the aspherical lens is an aspherical surface.

By making such an arrangement, it is possible to correct the off-axis aberration of higher order.

In the optical system according to the present embodiment, it is preferable that the first lens unit includes at least one cemented lens.

By cementing a lens having a function of correcting the chromatic aberration with another lens to form a cemented lens, and by disposing the cemented lens in the first lens unit, it is possible to suppress the occurrence of the chromatic aberration of magnification simultaneously while correcting the longitudinal chromatic aberration in the first lens unit. As a result, it is possible to correct the longitudinal chromatic aberration and the chromatic aberration of magnification in the optical system favorably.

In the optical system according to the present embodiment, it is preferable that a positive lens is disposed on the object side of the cemented lens in the first lens unit, and the positive lens is a single lens.

By making such an arrangement, it is possible to distribute the positive refractive power in the first lens unit to the cemented lens and the positive lens. As a result, it is possible to correct the spherical aberration more favorably.

In the optical system according to the present embodiment, it is preferable that the second lens unit includes at least one cemented lens.

By cementing a lens having a function of correcting the chromatic aberration with another lens to form a cemented lens, and by disposing the cemented lens in the second lens unit, it is possible to suppress the occurrence of the chromatic aberration of magnification simultaneously while correcting the longitudinal chromatic aberration in the second lens unit. As a result, it is possible to correct the longitudinal chromatic aberration and the chromatic aberration of magnification in the optical system favorably.

In the optical system according to the present embodiment, it is preferable that a positive lens is disposed on the image side of the cemented lens in the second lens unit, and the positive lens is a single lens.

By making such an arrangement, it is possible to distribute the positive refractive power in the second lens unit to the cemented lens and the positive lens. As a result, it is possible to correct the spherical aberration more favorably.

In the optical system according to the eighth embodiment and the optical system according to the tenth embodiment, it is preferable that the first object-side lens has a positive refractive power, and the first object-side lens is either a single lens or a cemented lens.

By imparting the positive refractive power to the first object-side lens, it is possible to position the principal point of the first lens unit on the object side as much as possible. As a result, it is possible to achieve both, securing an appropriate working distance and small-sizing of the optical system. In a case in which, further longer working distance is necessary, it is preferable to make such arrangement.

It is preferable that the optical system according to the present embodiment includes at least one lens having an inflection point, and in the lens having the inflection point, the number of inflection points in a shape of a lens surface is one or more than one.

By making such an arrangement, it is possible to correct the off-axis aberration of higher order favorably.

In the optical system according to the present embodiment, it is preferable that a shape of at least one lens surface of the second image-side lens is a shape having an inflection point.

By making such an arrangement, it is possible to correct the off-axis aberration of higher order favorably, and apart from this, it is possible to achieve both, the small-sizing of the optical system and reduction of an angle of incidence on the image pickup element. For small-sizing of the optical system, it is desirable to make an arrangement such that in the second lens unit, a refractive power in a region closer to the image side becomes a negative refractive power, and accordingly, to position the principal point of the second lens unit on the object side. Moreover, for reducing the angle of incidence on the image pickup element, at least one surface of the second image-side lens is let to have a shape having at least one inflection point. By making such an arrangement, it is possible to make small an angle of incidence of an off-axis light beam on the image surface.

In the optical system according to the present embodiment, it is preferable that the first lens unit includes at least one negative lens, and the negative lens is a single lens.

By making such an arrangement, it is possible to correct the chromatic aberration sufficiently in the first lens unit. As a result, it is possible to correct the chromatic aberration of magnification favorably while correcting the longitudinal chromatic aberration in the overall optical system.

In the optical system according to the present embodiment, it is preferable that the first image-side lens is a cemented lens.

In the first lens unit, by disposing a negative lens near the stop, it is possible to correct favorably the longitudinal chromatic aberration and the curvature of field simultaneously. Here, by disposing a positive lens at a position adjacent to the negative lens, and cementing the negative lens and the positive lens, it is possible to suppress the occurrence of the chromatic aberration of magnification.

Moreover, in the optical system according to the present embodiment, it is preferable that the second object-side lens is a cemented lens.

In the second lens unit, by disposing a negative lens near the stop, it is possible to correct favorably the longitudinal chromatic aberration and the curvature of field simultaneously. Here, by disposing a positive lens at a position adjacent to the negative lens, and cementing the negative lens and the positive lens, it is possible to suppress the occurrence of the chromatic aberration of magnification.

In the optical system according to the eighth embodiment, it is preferable that at the time of focusing, some of the lenses from among the plurality of lenses in the second lens unit move in an optical axial direction.

Since the second lens unit is positioned on the image side of the first lens unit, a light beam diameter in the second lens unit is smaller than a light beam diameter in the first lens unit. Therefore, even when a lens is moved in the second lens unit, a fluctuation in aberration is small. Therefore, when the movement of lenses at the time of focusing is carried out by using some of the lenses from among the plurality of lenses in the second lens unit, it is possible to make small the fluctuation in aberration due to the movement of the lenses. In the optical system according to the eighth embodiment, it is preferable that at the time of focusing, an optical system from the first-object side lens up to the second image-side lens moves integrally in the optical axial direction.

In the optical system according to the present embodiment, it is preferable that at the time of focusing, an air space from the first object-side lens up to the second image-side lens does not change.

By making such an arrangement, at the time of focusing, a positional relationship of lenses (single lens or cemented lens) positioned on both sides of the stop does not change. As a result, since a balance of the chromatic aberration of magnification in the first lens unit and the chromatic aberration of magnification in the second lens unit is not disrupted, it is possible to maintain a favorable imaging performance even when the focusing is carried out. In the first lens unit and the second lens unit, it is desirable that a lens and a pair of lenses having a significant effect of correcting the chromatic aberration is disposed near the stop for correcting the chromatic aberration of magnification favorably.

In the optical system according to the eighth embodiment, it is preferable that the following conditional expression (37-2) is satisfied:

0.5<f_G1o/f<100 (37-2)

where,

f_G1odenotes a focal length of the first object-side lens, and

f denotes a focal length of an overall optical system.

Moreover, in the optical system according to the eighth embodiment and the optical system according to the tenth embodiment, it is preferable that the following conditional expression (41) is satisfied:

0.5<f_G1o/f_G1<20 (41)

where,

f_G1odenotes a focal length of the first object-side lens, and

f_G1denotes a focal length of the first lens unit.

By making so as not to fall below a lower limit value of conditional expression (41), it is possible to prevent the positive refractive power of the first object-side lens from becoming excessively small. Accordingly, it is possible to position the principal point of the first lens unit on the object side as much as possible. As a result, it is possible to achieve both, securing an appropriate working distance and small-sizing of the optical system. In a case in which, further longer working distance is necessary, it is preferable to make such arrangement.

Here, it is preferable that the following conditional expression (41′) is satisfied instead of conditional expression (41).

0.71<f_G1o/f_G1<10.00 (41′)

Moreover, it is more preferable that the following conditional expression (41″) is satisfied instead of conditional expression (41).

1.00<f_G1o/f_G1<7.00 (41″)

Furthermore, it is even more preferable that the following conditional expression (41′″) is satisfied instead of conditional expression (41).

1.67<f_G1o/f_G1<5.00(41′″)

In the optical system according to the present embodiment, it is preferable that the following conditional expression (42) is satisfied:

0.01<1/νd_G1min−1/νd_G1max (42)

where,

νd_G1mindenotes a smallest Abbe's number from among Abbe's numbers for lenses forming the first lens unit, and

νd_G1maxdenotes a largest Abbe's number from among Abbe's numbers for lenses forming the first lens unit.

In the optical system according to the present embodiment, it is preferable that the following (i) and (ii) have been realized. (i) Enlargement of the numerical aperture on the object side and shortening of the overall length of the optical system, (ii) Favorable correction of the longitudinal chromatic aberration and the chromatic aberration of magnification. Conditional expression (42) is an expression for achieving both of (i) and (ii).

By making so as not to fall below a lower limit value of conditional expression (42), it is possible to suppress the occurrence of the longitudinal chromatic aberration in the first lens unit. Moreover, as it is possible to suppress the occurrence of the longitudinal chromatic aberration in the first lens unit, an excessive correction of the longitudinal chromatic aberration in the second lens unit becomes unnecessary. Accordingly, since the correction of the chromatic aberration of magnification in the second lens unit can be carried out favorably, it is possible to correct the chromatic aberration of magnification in the overall optical system favorably.

Here, it is preferable that the following conditional expression (42′) is satisfied instead of conditional expression (42).

0.011<1/νd_G1min−1/νd_G1max (42′)

Moreover, it is more preferable that the following conditional expression (42″) is satisfied instead of conditional expression (42).

0.014<1/νd_G1min−1/νd_G1max (42″)

Furthermore, it is even more preferable that the following conditional expression (42′″) is satisfied instead of conditional expression (42).

0.020<1/νd_G1min−1/νd_G1max (42′″)

In the optical system according to the present embodiment, it is preferable that the following conditional expression (43) is satisfied:

0.01<1/νd_G2min−1/νd_G2max (43)

where,

νd_G2mindenotes a smallest Abbe's number from among Abbe's numbers for lenses forming the second lens unit, and

νd_G2maxdenotes a largest Abbe's number from among Abbe's numbers for lenses forming the second lens unit.

In the optical system according to the present embodiment, it is preferable that the aforementioned (i) and (ii) have been realized. Conditional expression (43) is an expression for achieving both of (i) and (ii).

By making so as not to fall below a lower limit value of conditional expression (43), it is possible to suppress the occurrence of the longitudinal chromatic aberration in the second lens unit. Moreover, as it is possible to suppress the occurrence of the longitudinal chromatic aberration in the second lens unit, an excessive correction of the longitudinal chromatic aberration in the first lens unit becomes unnecessary. Accordingly, since the correction of the chromatic aberration of magnification in the second lens unit can be carried out favorably, it is possible to correct the chromatic aberration of magnification in the overall optical system favorably.

Here, it is preferable that the following conditional expression (43′) is satisfied instead of conditional expression (43).

0.011<1/νd_G2min−1/νd_G2max (43′)

Moreover, it is more preferable that the following conditional expression (43″) is satisfied instead of conditional expression ((43).

0.014<1/νd_G2min−1/νd_G2max (43″)

Furthermore, it is even more preferable that the following conditional expression (43′″) is satisfied instead of conditional expression (43).

0.020<1/νd_G2min−1/νd_G2max (43′″)

It is preferable that the optical system according to the present embodiment includes at least one positive lens which satisfies the following conditional expression (44):

0.59<θ_gF<0.8 (44)

where,

θ_gFdenotes a partial dispersion ratio of the positive lens, and is expressed by θ_gF=(ng−nF)/(nF−nC), where

nC, nF, and ng denote refractive indices with respect to a C-line, an F-line, and a g-line respectively.

In the optical system according to the present embodiment, it is preferable that the aforementioned (i) and (ii) have been realized. Conditional expression (44) is an expression for achieving both of (i) and (ii).

When the longitudinal chromatic aberration and the chromatic aberration of magnification for the d-line and the C-line have been corrected favorably, by disposing the positive lens satisfying conditional expression (44) in the optical system, it is possible to correct the longitudinal chromatic aberration and the chromatic aberration of magnification for the g-line favorably.

A material satisfying conditional expression (44), in many cases, is a material having a high dispersion in general. Therefore, using a material which satisfies conditional expression (44) for a lens having a positive refractive power means imparting a function of correcting a chromatic aberration which is opposite to a usual case, to the lens. However, in a case of carrying out more favorable correction of chromatic aberration, it is desirable to use a material which satisfies conditional expression (44), for the lens having a positive refractive power.

In the optical system according to the eighth embodiment and the optical system according to the tenth embodiment, it is preferable that the lens satisfying conditional expression (44) is included in the first lens unit.

When an attempt is made to secure an appropriate working distance in the optical system, in many cases, an aberration in the first lens unit is outspread to the second lens unit. Therefore, it is desirable to correct favorably the chromatic aberration for the g-line solely in the first lens unit. By doing so, it is possible to correct the chromatic aberration for the g-line favorably, solely in the first lens unit.

In the optical system according to the present embodiment, it is preferable that the positive lens which satisfies conditional expression (44), satisfies the following conditional expression (45):

0.3<D_p1s/L_G1s≦1 (45)

where,

D_p1sdenotes a distance on the optical axis from an object-side surface of the positive lens up to the stop, and

L_G1sdenotes a distance on the optical axis from an object-side surface of the first object-side lens up to the stop.

By satisfying conditional expression (45), it is possible to position the principal point of the first lens unit on the object side while correcting the chromatic aberration favorably. As a result, small-sizing of the optical system is possible while securing the working distance to a fixed amount.

Here, it is preferable that the following conditional expression (45′) is satisfied instead of conditional expression (45).

0.32<D_p1s/L_G1s≦1.00 (45′)

Moreover, it is more preferable that the following conditional expression (45″) is satisfied instead of conditional expression (45).

0.50<D_p1s/L_G1s≦1.00 (45″)

Furthermore, it is even more preferable that the following conditional expression (45′″) is satisfied instead of conditional expression (45).

0.70<D_p1s/L_G1s≦1.00 (45′″)

In the optical system according to the present embodiment, it is preferable that the first lens unit includes not less than two negative lenses that satisfy the following conditional expression (46):

0.01<1/νd_G1n−1/νd_G1max (46)

where,

νd_G1ndenotes a smallest Abbe's number for the negative lens forming the first lens unit, and

νd_G1maxdenotes a largest Abbe's number from among Abbe's numbers for lenses forming the first lens unit.

By satisfying conditional expression (46), it is possible to correct the longitudinal chromatic aberration and the chromatic aberration of magnification more favorably. Two or more than two negative lenses which satisfy conditional expression (46), or in other words, two or more than two negative lenses which have a function of correcting the chromatic aberration are used, and are disposed to have an appropriate positional relation. Accordingly, when the occurrence of the longitudinal chromatic aberration in the first lens unit has been suppressed, it is possible to correct the chromatic aberration of magnification in the first lens unit favorably. As a result, it is possible to correct the longitudinal chromatic aberration and the chromatic aberration of magnification in the overall optical system favorably. Particularly, in a case of a magnifying optical system, for correcting the chromatic aberration of magnification in the first lens unit favorably, it is desirable to satisfy conditional expression (46).

Moreover, in the optical system according to the present embodiment, it is preferable that the two or more than two negative lenses which satisfy conditional expression (46) include an object-side negative lens which is disposed nearest to the object, and an image-side negative lens which is disposed nearest to the image, and the object-side negative lens satisfies the following conditional expression (47):

0.2<D_noni/L_G1s<0.9 (47)

where,

D_nonidenotes a distance on the optical axis from an object-side surface of the object-side negative lens up to an object-side surface of the image-side negative lens, and

L_G1sdenotes a distance on the optical axis from the object-side surface of the first object-side lens up to the stop.

By satisfying conditional expression (47), it is possible to correct the longitudinal chromatic aberration and the chromatic aberration of magnification more favorably. Two or more than two negative lenses which satisfy conditional expression (46), or in other words, two or more than to negative lenses having a function of correcting the chromatic aberration are used, and these negative lenses are disposed at positions which satisfy conditional expression (47). Accordingly, when the occurrence of the longitudinal chromatic aberration in the first lens unit has been suppressed, it is possible to correct the chromatic aberration of magnification in the first lens unit more favorably. As a result, it is possible to correct the longitudinal chromatic aberration and the chromatic aberration of magnification of the overall lens system more favorably. Particularly, in a case of a magnifying optical system, for correcting the chromatic aberration of magnification in the first lens unit favorably, it is desirable to satisfy conditional expression (47).

Here, it is preferable that the following conditional expression (47′) is satisfied instead of conditional expression (47).

0.21<D_noni/L_G1s<0.86 (47′)

Moreover, it is more preferable that the following conditional expression (47″) is satisfied instead of conditional expression (47).

0.22<D_noni/L_G1s<0.81 (47″)

Furthermore, it is even more preferable that the following conditional expression (47′″) is satisfied instead of conditional expression (47).

0.23<D_noni/L_G1s<0.77 (47′″)

In the optical system according to the present embodiment, it is preferable that the first lens unit has a positive refractive power, and includes at least one diffractive optical element.

A height of an axial marginal ray is high in the first lens unit. Therefore, by letting the refractive power of the first lens unit to be a positive refractive power, and disposing the diffractive optical element in the first lens unit, it is possible to suppress the occurrence of the longitudinal chromatic aberration in the first lens unit.

In the optical system according to the present embodiment, it is preferable to dispose at least one diffractive optical element at a position which is on the object side of the stop, and at the position which satisfies the following conditional expression (48):

0.1<D_DLs/D_G1is (48)

where,

D_DLsdenotes a distance on the optical axis from the diffractive optical element up to the stop, and

D_G1isdenotes a distance on the optical axis from the image-side surface of the first image-side lens up to the stop.

At the position in the first lens unit at which, conditional expression (48) is satisfied, since the height of the principal ray becomes comparatively higher, by disposing the diffractive optical element at that position, it is possible to correct the chromatic aberration of magnification for the F-line and the g-line in particular, more favorably. To be more precise, D_DLsis a distance from a diffractive surface of the diffractive optical element up to the stop.

In the optical system according to the present embodiment, it is preferable to dispose at least one diffractive optical element at a position which is on the image side of the stop, and at the position which satisfies the following conditional expression (49):

0.2<D_sDL/L_sG2<0.9 (49)

where,

D_sDLdenotes a distance on the optical axis from the stop up to the diffractive optical element, and

L_sG2denotes a distance on the optical axis from the stop up to the image-side surface of the second image-side lens.

At the position in the second lens unit at which, conditional expression (49) is satisfied, since the height of the principal ray becomes comparatively higher, by disposing the diffractive optical element at that position, it is possible to correct the chromatic aberration of magnification for the F-line and the g-line in particular, more favorably. To be more precise, D_sDLis a distance from the stop up to a diffractive surface of the diffractive optical element.

Here, it is preferable that the following conditional expression (49′) is satisfied instead of conditional expression (49).

0.21<D_sDL/L_sG2<0.86 (49′)

Moreover, it is more preferable that the following conditional expression (49″) is satisfied instead of conditional expression (49).

0.22<D_sDL/L_sG2<0.86 (49″)

Furthermore, it is even more preferable that the following conditional expression (49′″) is satisfied instead of conditional expression (49).

0.23<D_sDL/L_sG2<0.86 (49′″)

Moreover, it is preferable that the optical system according to the present embodiment includes a negative lens which satisfies the following conditional expressions (50) and (51):

0.01<1/νd_n1−1/νd_G1max (50)

0<D_n1s/D_os<0.3 (51)

where,

νd_n1denotes Abbe's number for the negative lens,

νd_G1maxdenotes a largest Abbe's number from among the Abbe's numbers for lenses forming the first lens unit,

D_n1sdenotes a distance on the optical axis from an object-side surface of the negative lens up to the stop, and

D_osdenotes a distance on the optical axis from the object up to the stop.

For achieving both, shortening of the overall length of the optical system and favorable correction of the chromatic aberration and the curvature of field, it is preferable to satisfy conditional expressions (50) and (51).

By making so as not to fall below lower limit values of conditional expression (50) and (51), it is possible to secure a thickness of the negative lens appropriately.

By making so as not to exceed an upper limit values of conditional expressions (50) and (51), it is possible to dispose the negative lens having a function of correcting the chromatic aberration because of high dispersion, near the stop. The height of an axial marginal ray being low near the stop, it is possible to correct favorably the chromatic aberration and the curvature of field simultaneously by the negative lens.

Here, it is preferable that the following conditional expression (51′) is satisfied instead of conditional expression (51).

0.01<D_n1s/D_os<0.29 (51′)

Moreover, it is more preferable that the following conditional expression (51″) is satisfied instead of conditional expression (51).

0.02<D_n1s/D_os<0.27 (51″)

Furthermore, it is even more preferable that the following conditional expression (51′″) is satisfied instead of conditional expression (51).

0.03<D_n1s/D_os<0.26 (51′″)

It is preferable that the optical system according to the present embodiment includes a negative lens which satisfies the following conditional expressions (52) and (53):

0.01<1/νd_n2−1/νd_G2max (52)

0<D_sn2/D_si<0.4 (53)

where,

νd_n2denotes Abbe's number for the negative lens,

νd_G2maxdenotes a largest Abbe's number from among the Abbe's numbers for lenses forming the second lens unit,

D_sn2denotes a distance on the optical axis from the stop up to an image-side surface of the negative lens, and

D_sidenotes a distance on the optical axis from the stop up to the image.

By making so as not to fall below lower limit values of conditional expressions (52) and (53), it is possible to secure a thickness of the negative lens appropriately.

By making so as not to exceed an upper limit values of conditional expressions (52) and (53), it is possible to dispose the negative lens having a function of correcting the chromatic aberration because of high dispersion, near the stop. The height of an axial marginal ray being low near the stop, it is possible to correct favorably the chromatic aberration and the curvature of field simultaneously by the negative lens.

Here, it is preferable that the following conditional expression (53′) is satisfied instead of conditional expression (53).

0.01<D_sn2/D_si<0.38 (53′)

Moreover, it is more preferable that the following conditional expression (53″) is satisfied instead of conditional expression (53).

0.02<D_sn2/D_si<0.36 (53″)

Furthermore, it is even more preferable that the following conditional expression (53′″) is satisfied instead of conditional expression (53).

0.03<D_sn2/D_si<0.34 (53′″)

It is preferable that the optical system according to the present embodiment includes a negative lens at a position which satisfies the following conditional expression (54):

0.6<D_sn3/D_si<1 (54)

where,

D_sn3denotes a distance on the optical axis from the stop up to an image-side surface of the negative lens, and

D_sidenotes a distance on the optical axis from the stop up to the image.

For achieving both, shortening of the overall length of the optical system and favorable correction of the off-axis aberration such as the chromatic aberration of magnification, it is preferable to satisfy conditional expression (54).

By making so as not to fall below a lower limit value of conditional expression (54), in the second lens unit, it is possible to dispose the negative lens in a region closer to the image side. Accordingly, since it is possible to position the principal point on the object side, even if the overall length of the optical system is shortened, it becomes possible to change the height of the principal ray emerged from the stop and reaching the periphery of the image in the second lens unit comparatively gradually. As a result it is possible to correct favorably the chromatic aberration of magnification in particular.

By making so as not to exceed an upper limit value of conditional expression (54), it is possible to increase a distance between the negative lens and the image pickup element. Therefore, even when a ghost is generated due to multiple reflection between the negative lens and the image pickup element, it is possible to prevent the ghost from being incident on a surface of the image pickup element with a high density.

Here, it is preferable that the following conditional expression (54′) is satisfied instead of conditional expression (54).

0.63<D_sn3/D_si<0.98 (54′)

Moreover, it is more preferable that the following conditional expression (54″) is satisfied instead of conditional expression (54).

0.66<D_sn3/D_si<0.96 (54″)

Furthermore, it is even more preferable that the following conditional expression (54′″) is satisfied instead of conditional expression (54).

0.70<D_sn3/D_si<0.94 (54′″)

It is preferable that the optical system according to the present embodiment includes a positive lens at a position which satisfies the following conditional expression (55):

0.3<D_p2s/D_os<0.99 (55)

where,

D_p2sdenotes a distance on the optical axis from an object-side surface of the positive lens up to the stop, and

D_osdenotes a distance on the optical axis from object up to the stop.

For achieving both, shortening of the overall length of the optical system and favorable correction of the chromatic aberration of magnification and the off-axis aberration, it is preferable to satisfy conditional expression (55).

By making so as not to fall below a lower limit value of conditional expression (55), it is possible to dispose the positive lens on the object side. Accordingly, since it is possible to position the principal point of the first lens unit on the object side, it is possible to secure an appropriate working distance.

By making so as not to exceed an upper limit value of conditional expression (55), it is possible to prevent the positive lens from coming too close to the object. As a result it is possible to secure an appropriate working distance.

Here, it is preferable that the following conditional expression (55′) is satisfied instead of conditional expression (55).

0.35<D_p2s/D_os<0.89 (55′)

Moreover, it is more preferable that the following conditional expression (55″) is satisfied instead of conditional expression (55).

0.42<D_p2s/D_os<0.80 (55″)

Furthermore, it is even more preferable that the following conditional expression (55′″) is satisfied instead of conditional expression (55).

0.49<D_p2s/D_os<0.70(55′″)

In the optical system according to the eighth embodiment, it is preferable that, instead of conditional expression (55), the following conditional expression (55-1) is satisfied.

0.3<D_p2s/D_os<0.7 (55-1)

In the optical system according to the ninth embodiment, it is preferable that, instead of conditional expression (55), the following conditional expression (55-2) is satisfied.

0.5<D_p2s/D_os<0.99 (55-2)

In the optical system according to the eighth embodiment and the optical system according to the tenth embodiment, it is preferable that the first lens unit includes a negative lens, and a positive lens which is disposed on the object side of the negative lens, and that the following conditional expression (56) is satisfied:

0.78<L_L/D_oi+0.07×WD/BF (56)

where,

L_Ldenotes a distance on the optical axis from the object-side surface of the first object-side lens up to the image-side surface of the second image-side lens,

D_oidenotes a distance on the optical axis from the object up to the image,

WD denotes a distance on the optical axis from the object up to the object-side surface of the first object-side lens, and

BF denotes a distance on the optical axis from the image-side surface of the second image-side lens up to the image.

By making so as not to fall below a lower limit value of conditional expression (56), even in an optical system of which, the overall length is shortened, since it becomes possible to change the height of a principal ray emerged from a periphery of the object and reaching a periphery of the image comparatively gradually, it is possible to prevent the radius of curvature of a lens in the optical system from becoming excessively small. As a result, it is possible to suppress the occurrence of the longitudinal chromatic aberration and the chromatic aberration of magnification.

By satisfying conditional expressions (16), (19), (20), and (56), it is possible to suppress the occurrence of the longitudinal chromatic aberration and the chromatic aberration of magnification more effectively while carrying out enlargement of the numerical aperture on the object side and shortening of the overall length of the optical system.

By satisfying conditional expressions (25) and (56), it is possible to correct the longitudinal chromatic aberration and the chromatic aberration of magnification more favorably while securing the working distance appropriately, and carrying out enlargement of the numerical aperture on the object side and shortening of the overall length of the optical system.

Here, it is preferable that the following conditional expression (56′) is satisfied instead of conditional expression (56).

0.87<L_L/D_oi+0.07×WD/BF (56′)

Moreover, it is more preferable that the following conditional expression (56″) is satisfied instead of conditional expression (56).

0.96<L_L/D_oi+0.07×WD/BF (56″)

Furthermore, it is even more preferable that the following conditional expression (56′″) is satisfied instead of conditional expression (56).

1.07<L_L/D_oi+0.07×WD/BF (56′″)

D
_os
/L
_G1−0.39×WD/BF<1.8 (57)

where,

D_osdenotes a distance on the optical axis from the object up to the stop,

L_G1denotes a distance on the optical axis from the object-side surface of the first object-side lens up to the image-side surface of the first image-side lens,

WD denotes a distance on the optical axis from the object up to the object-side surface of the first object-side lens, and

BF denotes a distance on the optical axis from the image-side surface of the second image-side lens up to the image.

By making so as not to exceed an upper limit value of conditional expression (57), even in an optical system of which, the overall length is shortened, it becomes possible to change the height of a principal ray emerged from a periphery of the object and reaching a periphery of the image comparatively gradually, and it is possible to prevent the radius of curvature of a lens in the optical system from becoming excessively small. Therefore, it is possible to suppress the occurrence of the longitudinal chromatic aberration and the chromatic aberration of magnification.

By satisfying conditional expressions (16), (19), (20), and (57), it is possible to suppress the occurrence of the longitudinal chromatic aberration and the chromatic aberration of magnification more effectively while carrying out enlargement of the numerical aperture on the object side and shortening of the overall length of the optical system.

By satisfying conditional expressions (25) and (57), it is possible to correct the longitudinal chromatic aberration and the chromatic aberration of magnification more favorably while securing the working distance appropriately, and carrying out enlargement of the numerical aperture on the object side and shortening of the overall length of the optical system.

Here, it is preferable that the following conditional expression (57′) is satisfied instead of conditional expression (57).

D
_os
/L
_G1−0.39×WD/BF<1.53 (57′)

Moreover, it is more preferable that the following conditional expression (57″) is satisfied instead of conditional expression (57).

D
_os
/L
_G1−0.39×WD/BF<1.40 (57″)

Furthermore, it is even more preferable that the following conditional expression (57′″) is satisfied instead of conditional expression (57).

D
_os
/L
_G1−0.39×WD/BF<1.30 (57′″)

Moreover, an image pickup apparatus of the present embodiment is characterized by including the abovementioned optical system and the image pickup element.

Moreover, an image pickup system of the present embodiment is characterized by including the image pickup apparatus, a stage which holds an object, and an illuminating unit which illuminates the object.

By illuminating the object by the illuminating unit, since it is possible to reduce a noise at the time of image pickup, it is possible to acquire an image with a high resolution.

Moreover, in the image pickup system of the present embodiment, it is preferable that the image pickup apparatus and the stage are integrated.

Since the numerical aperture on the object side of the optical system according to the present embodiment is large, the optical system has a high resolution, but a depth of field becomes shallow. Therefore, in the image pickup system using the optical system according to the present embodiment, it is preferable to integrate the image pickup apparatus and the stage which holds the object. By integrating the image pickup apparatus and the stage, since it is possible to maintain relative positions and a relative distance of the image pickup apparatus and the object to be fixed, it is possible to acquire an image with a high resolution.

Regarding each conditional expression, by restricting one of or both an upper limit value and a lower limit value, since it is possible to make that function more assured, it is preferable to apply restriction. Moreover, regarding each conditional expression, only an upper limit value or a lower limit value of a numerical range of a further restricted conditional expression may be restricted. Moreover, with regard to restricting the numerical range of a conditional expression, the upper limit value or the lower limit value of each conditional expression described above may be an upper limit value or a lower limit value of a conditional expression other than those described above.

An optical system according to an example 1 will be described below. FIG. 1 is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 1. Moreover, FIG. 2A, FIG. 2B, FIG. 2C, and FIG. 2D are aberration diagrams of the optical system according to the example 1.

In the aberration diagrams shown in FIG. 2A, FIG. 2B, FIG. 2C, and FIG. 2D, ‘FIY’ denotes the maximum image height. Symbols in the aberration diagrams are same even in examples that will be described later. Moreover, in aberration diagrams of examples from the example 1 to an example 7, four aberration diagrams in order from left show a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC).

The optical system according to the example 1, as shown in FIG. 1, includes in order from an object side, a lens unit Gf having a positive refractive power, an aperture stop S, and a lens unit Gr having a positive refractive power. In the examples from the example 1 to the example 7, in lens cross-sectional views, I denotes an image pickup surface of an image pickup element. The optical system according to the example 1 is suitable for an image pickup element for which, a pixel pitch is in a range of 0.6 μm to 1.2 μm.

The lens unit Gf includes a biconvex positive lens L1, a negative meniscus lens L2 having a convex surface directed toward the object side, a positive meniscus lens L3 having a convex surface directed toward an image side, a biconcave negative lens L4, and a positive meniscus lens L5 having a convex surface directed toward the object side.

The lens unit Gr includes a positive meniscus lens L6 having a convex surface directed toward the image side, a biconcave negative lens L7, a positive meniscus lens L8 having a convex surface directed toward the object side, a negative meniscus lens L9 having a convex surface directed toward the image side, and the biconvex positive lens L10.

The aperture stop S is disposed between the lens L5 and the lens L6.

An aspheric surface is provided to both surfaces of all the lenses from the lens L1 to the lens L10.

The optical system according to the example 1 includes five pairs of lenses which satisfy conditional expressions (1), (2), and (3). The pairs of lenses are the lens L1 and the lens L10, the lens L2 and the lens L9, the lens L3 and the lens L8, the lens L4 and the lens L7, and the lens L5 and the lens L6. Moreover, in the pairs of lenses, a shape of one lens in the pair and a shape of the other lens in the pair are same.

Next, an optical system according to an example 2 of the present invention will be described below. FIG. 3 is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 2. Moreover, FIG. 4A, FIG. 4B, FIG. 4C, and FIG. 4D are aberration diagrams of the optical system according to the example 2.

The optical system according to the example 2, as shown in FIG. 3, includes in order from an object side, a lens unit Gf having a positive refractive power, an aperture stop S, and a lens unit Gr having a positive refractive power. The optical system according to the example 2 is suitable for an image pickup element for which, a pixel pitch is in a range of 0.6 μm to 1.2 μm.

The aperture stop S is disposed between the lens L5 and the lens L6.

An aspheric surface is provided to both surfaces of all the lenses from the lens L1 to the lens L10.

The optical system according to the example 2 includes five pairs of lenses which satisfy conditional expressions (1), (2), and (3). The pairs of lenses are the lens L1 and the lens L10, the lens L2 and the lens L9, the lens L3 and the lens L8, the lens L4 and the lens L7, and the lens L5 and the lens L6. Moreover, in the pairs of lenses, a shape of one lens in the pair and a shape of the other lens in the pair differ slightly.

Next, an optical system according to an example 3 will be described below. FIG. 5 is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 3. Moreover, FIG. 6A, FIG. 6B, FIG. 6C, and FIG. 6D are aberration diagrams of the optical system according to the example 3.

The optical system according to the example 3, as shown in FIG. 5, includes in order from an object side, a lens unit Gf having a positive refractive power, an aperture stop S, and a lens unit Gr having a positive refractive power. The optical system according to the example 3 is suitable for an image pickup element for which, a pixel pitch is in a range of 0.6 μm to 1.2 μm.

The lens unit Gf includes a biconvex positive lens L1, a positive meniscus lens L2 having a convex surface directed toward an image side, a negative meniscus lens L3 having a convex surface directed toward the object side, a negative meniscus lens L4 having a convex surface directed toward the image side, a biconcave negative lens L5, and a positive meniscus lens L6 having a convex surface directed toward the object side.

The lens unit Gr includes a positive meniscus lens L7 having a convex surface directed toward the image side, a biconcave negative lens L8, a negative meniscus lens L9 having a convex surface directed toward the object side, a negative meniscus lens L10 having a convex surface directed toward the image side, a positive meniscus lens L11 having a convex surface directed toward the object side, and a biconvex positive lens L12.

The aperture stop S is disposed between the lens L6 and the lens L7.

An aspheric surface is provided to both surfaces of all the lenses from the lens L1 to the lens L12.

The optical system according to the example 3 includes six pairs of lenses which satisfy conditional expressions (1), (2), and (3). The pairs of lenses are the lens L1 and the lens L12, the lens L2 and the lens L11, the lens L3 and the lens L10, the lens L4 and the lens L9, the lens L5 and the lens L8, and the lens L6 and the lens L7. Moreover, in the pairs of lenses, a shape of one lens in the pair and a shape of the other lens in the pair are same.

Next, an optical system according to an example 4 of the present invention will be described below. FIG. 7 is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 4. Moreover, FIG. 8A, FIG. 8B, FIG. 8C, and FIG. 8D are aberration diagrams of the optical system according to the example 4.

The optical system according to the example 4, as shown in FIG. 7, includes in order from an object side, a lens unit Gf having a positive refractive power, an aperture stop S, and a lens unit Gr having a positive refractive power. The optical system according to the example 4 is suitable for an image pickup element for which, a pixel pitch is in a range of 0.6 μm to 1.2 μm.

The lens unit Gf includes a biconvex positive lens L1, a negative meniscus lens L2 having a convex surface directed toward the object side, a positive meniscus lens L3 having a convex surface directed toward an image side, a negative meniscus lens L4 having a convex surface directed toward the object side, and a biconvex positive lens L5.

The lens unit Gr includes a biconvex positive lens L6, a negative meniscus lens L7 having a convex surface directed toward the image side, a positive meniscus lens L8 having a convex surface directed toward the object side, a negative meniscus lens L9 having a convex surface directed toward the image side, a negative meniscus lens L10 having a convex surface directed toward the image side, and a biconvex positive lens L11.

The aperture stop S is disposed between the lens L5 and the lens L6.

An aspheric surface is provided to both surfaces of all the lenses from the lens L1 to the lens L11.

The optical system according to the example 4 includes four pairs of lenses which satisfy conditional expressions (1), (2), and (3). The pairs of lenses are the lens L1 and the lens L11, the lens L3 and the lens L8, the lens L4 and the lens L7, and the lens L5 and the lens L6. Moreover, in the pairs of lenses, a shape of one lens in the pair and a shape of the other lens in the pair are same.

Next, an optical system according to an example 5 will be described below. FIG. 9 is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 5. Moreover, FIG. 10A, FIG. 10B, FIG. 10C, and FIG. 10D are aberration diagrams of the optical system according to the example 5.

The optical system according to the example 5, as shown in FIG. 9, includes in order from an object side, a lens unit Gf having a positive refractive power, an aperture stop S, and a lens unit Gr having a positive refractive power. The optical system according to the example 5 is suitable for an image pickup element for which, a pixel pitch is in a range of 1.0 μm to 1.6 μm.

The lens unit Gf includes a biconvex positive lens L1, a negative meniscus lens L2 having a convex surface directed toward the object side, a positive meniscus lens L3 having a convex surface directed toward an image side, a negative meniscus lens L4 having a convex surface directed toward the object side, and a biconvex positive lens L5.

The lens unit Gr includes a biconvex positive lens L6, a negative meniscus lens L7 having a convex surface directed toward the image side, a positive meniscus lens L8 having a convex surface directed toward the object side, a positive meniscus lens L9 having a convex surface directed toward the image side, a biconcave negative lens L10, and a biconvex positive lens L11.

The aperture stop S is disposed between the lens L5 and the lens L6.

An aspheric surface is provided to both surfaces of all the lenses from the lens L1 to the lens L11.

The optical system according to the example 5 includes two pairs of lenses which satisfy conditional expressions (1), (2), and (3). The pairs of lenses are the lens L3 and the lens L8, and the lens L5 and the lens L6. Moreover, in the pairs of lenses, a shape of one lens in the pair and a shape of the other lens in the pair are same.

Next, an optical system according to an example 6 will be described below. FIG. 11 is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 6. Moreover, FIG. 12A, FIG. 12B, FIG. 12C, and FIG. 12D are aberration diagrams of the optical system according to the example 6.

The optical system according to the example 6, as shown in FIG. 11, includes in order from an object side, a lens unit Gf having a positive refractive power, an aperture stop S, and a lens unit Gr having a positive refractive power. The optical system according to the example 6 is suitable for an image pickup element for which, a pixel pitch is in a range of 0.9 μm to 1.5 μm.

The lens unit Gf includes a negative meniscus lens L1 having a convex surface directed toward an image side, a positive meniscus lens L2 having a convex surface directed toward the object side, a biconcave negative lens L3, and a biconvex positive lens L4.

The lens unit Gr includes a biconvex positive lens L5, a biconcave negative lens L6, a positive meniscus lens L7 having a convex surface directed toward the image side, and a biconcave negative lens L8.

The aperture stop S is positioned on the image side of the biconvex positive lens L4, and on the object side of a vertex of the image-side surface of the biconvex positive lens L4.

An aspheric surface is provided to both surfaces of all the lenses from the lens L1 to the lens L8.

The optical system according to the example 6 does not include a pair of lenses which satisfies conditional expressions (1), (2), and (3).

Next, an optical system according to an example 7 will be described below. FIG. 13 is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 7. Moreover, FIG. 14A, FIG. 14B, FIG. 14C, and FIG. 14D are aberration diagrams of the optical system according to the example 7.

The optical system according to the example 7, as shown in FIG. 13, includes in order from an object side, a lens unit Gf having a positive refractive power, an aperture stop S, and a lens unit Gr having a positive refractive power. The optical system according to the example 7 is suitable for an image pickup element for which, a pixel pitch is in a range of 0.7 μm to 1.3 μm.

The lens unit Gf includes a biconcave negative lens L1, a positive meniscus lens L2 having a convex surface directed toward the object side, a biconcave negative lens L3, and a biconvex positive lens L4.

The lens unit Gr includes a biconvex positive lens L5, a biconcave negative lens L6, a positive meniscus lens L7 having a convex surface directed toward an image side, and a negative meniscus lens L8 having a convex surface directed toward the object side.

The aperture stop S is positioned on the object side of the biconvex positive lens L5, and on the object side of a vertex of the object-side surface of the biconvex positive lens L5.

An aspheric surface is provided to both surfaces of all the lenses from the lens L1 to the lens L8.

The optical system according to the example 7 does not include a pair of lenses which satisfies conditional expressions (1), (2), and (3).

In some of the following examples, a diffractive optical element is used. The diffractive optical element used here is an optical element as described in Japanese Patent Publication No. 3717555 in which, at least two layers of mutually different optical materials are laminated and a relief pattern is formed at an interface thereof, and a diffraction efficiency is made higher in a wide wavelength region. However, the diffractive optical element to be used in the optical element of the examples is not restricted to such diffractive optical element, and may be a diffractive optical element described in Japanese Patent Application Laid-open Publication No. 2003-215457 and Japanese Patent Application Laid-open publication No. Hei 11-133305.

Next, an optical system according to an example 8 will be described below. FIG. 15A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 8. Moreover, FIG. 15B, FIG. 15C, FIG. 15D, and FIG. 15E are aberration diagrams of the optical system according to the example 8.

In the aberration diagrams shown in FIG. 15B, FIG. 15C, FIG. 15D, and FIG. 15E, ‘FIY’ denotes the maximum image height. Symbols in the aberration diagrams are same even in examples that will be described later. Moreover, in aberration diagrams of examples from the example 8 to an example 96, four aberration diagrams in order from left show a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC).

The optical system according to the example 8, as shown in FIG. 15A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power. In the examples from the example 8 to the example 96, in lens cross-sectional views, S denotes a stop, C denotes a cover glass, and I denotes an image pickup surface of an image pickup element.

The first lens unit G1 includes a biconvex positive lens L1, a positive meniscus lens L2 having a convex surface directed toward the object side, a biconvex positive lens L3, and a biconcave negative lens L4. The biconvex positive lens L3 and the biconcave negative lens L4 are cemented.

The second lens unit G2 includes a negative meniscus lens L5 having a convex surface directed toward an image side, a positive meniscus lens L6 having a convex surface directed toward the image side, a positive meniscus lens L7 having a convex surface directed toward the object side, a biconvex positive lens L8, and a biconcave negative lens L9. The negative meniscus lens L5 and the positive meniscus lens L6 are cemented. A predetermined lens unit includes the biconcave negative lens L9.

The aperture stop S is disposed between the biconcave negative lens L4 and the negative meniscus lens L5.

An aspheric surface is provided to seven surfaces namely, a surface on the image side of the positive meniscus lens L2, both surfaces of the positive meniscus lens L7, both surfaces of the biconvex positive lens L8, and both surfaces of the biconcave negative lens L9.

Next, an optical system according to an example 9 will be described below. FIG. 16A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 9. Moreover, FIG. 16B, FIG. 16C, FIG. 16D, and FIG. 16E are aberration diagrams of the optical system according to the example 9.

The optical system according to the example 9, as shown in FIG. 16A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The first lens unit G1 includes a biconvex positive lens L1, a biconcave negative lens L2, a biconvex positive lens L3, a biconvex positive lens L4, and a biconcave negative lens L5. The biconvex positive lens L4 and the biconcave negative lens L5 are cemented.

The second lens unit G2 includes a negative meniscus lens L6 having a convex surface directed toward an image side, a positive meniscus lens L7 having a convex surface directed toward the image side, a biconvex positive lens L8, a biconvex positive lens L9, and a biconcave negative lens L10. The negative meniscus lens L6 and the positive meniscus lens L7 are cemented. A predetermined lens unit includes the biconcave negative lens L10.

The aperture stop S is disposed between the biconcave negative lens L5 and the negative meniscus lens L6.

An aspheric surface is provided to nine surfaces namely, both surfaces of the biconcave negative lens L2, a surface on the image side of the biconvex positive lens L3, both surfaces of the biconvex positive lens L8, both surfaces of the biconvex positive lens L9, and both surfaces of the biconcave negative lens L10.

Next, an optical system according to an example 10 will be described below. FIG. 17A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 10. Moreover, FIG. 17B, FIG. 17C, FIG. 17D, and FIG. 17E are aberration diagrams of the optical system according to the example 10.

The optical system according to the example 10, as shown in FIG. 17A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The second lens unit G2 includes a negative meniscus lens L5 having a convex surface directed toward an image side, a positive meniscus lens L6 having a convex surface directed toward the image side, a biconvex positive lens L7, a biconcave negative lens L8, a biconvex positive lens L9, and a negative meniscus lens L10 having a convex surface directed toward the image side. The negative meniscus lens L5 and the positive meniscus lens L6 are cemented. Moreover the biconvex positive lens L7 and the biconcave negative lens L8 are cemented. A predetermined lens unit includes the negative meniscus lens L10.

The aperture stop S is disposed between the biconcave negative lens L4 and the negative meniscus lens L5.

An aspheric surface is provided to five surfaces namely, a surface on the image side of the positive meniscus lens L2, both surfaces of the biconvex positive lens L9, and both surfaces of the negative meniscus lens L10.

Next, an optical system according to an example 11 will be described below. FIG. 18A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 11. Moreover, FIG. 18B, FIG. 18C, FIG. 18D, and FIG. 18E are aberration diagrams of the optical system according to the example 11.

The optical system according to the example 11, as shown in FIG. 18A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The second lens unit G2 includes a negative meniscus lens L5 having a convex surface directed toward the object side, a positive meniscus lens L6 having a convex surface directed toward the object side, a biconvex positive lens L7, a biconvex positive lens L8, a biconcave negative lens L9, and a biconcave negative lens L10. The negative meniscus lens L5 and the positive meniscus lens L6 are cemented. Moreover, the biconvex positive lens L8 and the biconcave negative lens L9 are cemented. A predetermined lens unit includes the biconcave negative lens L10.

The aperture stop S is disposed between the biconcave negative lens L4 and the negative meniscus lens L5.

An aspheric surface is provided to five surfaces namely, a surface on an image side of the positive meniscus lens L2, both surfaces of the biconvex positive lens L7, and both surfaces of the biconcave negative lens L10.

Next, an optical system according to an example 12 will be described below. FIG. 19A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 12. Moreover, FIG. 19B, FIG. 19C, FIG. 19D, and FIG. 19E are aberration diagrams of the optical system according to the example 12.

The optical system according to the example 12, as shown in FIG. 19A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The first lens unit G1 includes a biconvex positive lens L1, a biconcave negative lens L2, a biconvex positive lens L3, a biconvex positive lens L4, a biconvex positive lens L5, and a biconcave negative lens L6. The biconvex positive lens L5 and the biconcave negative lens L6 are cemented.

The second lens unit G2 includes a negative meniscus lens L7 having a convex surface directed toward the object side, a positive meniscus lens L8 having a convex surface directed toward the object side, a positive meniscus lens L9 having a convex surface directed toward the object side, a positive meniscus lens L10 having a convex surface directed toward the object side, and a biconcave negative lens L11. The negative meniscus lens L7 and the positive meniscus lens L8 are cemented. A predetermined lens unit includes the biconcave negative lens L11.

The aperture stop S is disposed between the biconcave negative lens L6 and the negative meniscus lens L7.

An aspheric surface is provided to 10 surfaces namely, a surface on an image side of the biconvex positive lens L1, both surfaces of the biconcave negative lens L2, a surface on the object side of the biconvex positive lens L3, both surfaces of the positive meniscus lens L9, both surfaces of the positive meniscus lens L10, and both surfaces of the biconcave negative lens L11.

Next, an optical system according to an example 13 will be described below. FIG. 20A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 13. Moreover, FIG. 20B, FIG. 20C, FIG. 20D, and FIG. 20E are aberration diagrams of the optical system according to the example 13.

The optical system according to the example 13, as shown in FIG. 20A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The second lens unit G2 includes a biconvex positive lens L7, a biconcave negative lens L8, a positive meniscus lens L9 having a convex surface directed toward the object side, a positive meniscus lens L10 having a convex surface directed toward the object side, and a biconcave negative lens L11. A predetermined lens unit includes the biconcave negative lens L11.

The aperture stop S is disposed between the biconcave negative lens L6 and the biconvex positive lens L7.

Next, an optical system according to an example 14 will be described below. FIG. 21A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 14. Moreover, FIG. 21B, FIG. 21C, FIG. 21D, and FIG. 21E are aberration diagrams of the optical system according to the example 14.

The optical system according to the example 14, as shown in FIG. 21A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a negative refractive power.

The aperture stop S is disposed between the biconcave negative lens L6 and the negative meniscus lens L7.

An aspheric surface is provided to 10 surfaces namely, a surface on an image side of the biconvex positive lens L1, both surfaces of the biconcave negative lens L2, a surface on the object side of the biconvex positive lens L3, both surfaces of the biconvex positive lens L8, both surfaces of the positive meniscus lens L9, and both surfaces of the biconcave negative lens L10.

Next, an optical system according to an example 15 will be described below. FIG. 22A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 15. Moreover, FIG. 22B, FIG. 22C, FIG. 22D, and FIG. 22E are aberration diagrams of the optical system according to the example 15.

The optical system according to the example 15, as shown in FIG. 22A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The first lens unit G1 includes a positive meniscus lens L1 having a convex surface directed toward the object side, a biconvex positive lens L2, a biconvex positive lens L3, a biconvex positive lens L4, and a biconcave negative lens L5. The biconvex positive lens L4 and the biconcave negative lens L5 are cemented.

The second lens unit G2 includes a biconcave negative lens L6, a biconvex positive lens L7, a biconvex positive lens L8, a biconvex positive lens L9, a biconcave negative lens L10, and a biconcave negative lens L11. The biconcave negative lens L6 and the biconvex positive lens L7 are cemented. A predetermined lens unit includes the biconcave negative lens L10 and the biconcave negative lens L11.

The aperture stop S is disposed between the biconcave negative lens L5 and the biconcave negative lens L6.

An aspheric surface is provided to 11 surfaces namely, both surfaces of the positive meniscus lens L1, a surface on an image side of the biconvex positive lens L3, both surfaces of the biconvex positive lens L8, both surfaces of the biconvex positive lens L9, both surfaces of the biconcave negative lens L10, and both surfaces of the biconcave negative lens L11.

Next, an optical system according to an example 16 will be described below. FIG. 23A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 16. Moreover, FIG. 23B, FIG. 23C, FIG. 23D, and FIG. 23E are aberration diagrams of the optical system according to the example 16.

The optical system according to the example 16, as shown in FIG. 23A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The second lens unit G2 includes a biconcave negative lens L6, a biconvex positive lens L7, a biconvex positive lens L8, a biconvex positive lens L9, and a biconcave negative lens L10. The biconcave negative lens L6 and the biconvex positive lens L7 are cemented. A predetermined lens unit includes a biconcave negative lens L10.

The aperture stop S is disposed between the biconcave negative lens L5 and the biconcave negative lens L6.

An aspheric surface is provided to nine surfaces namely, both surfaces of the positive meniscus lens L1, a surface on an image side of the biconvex positive lens L3, both surfaces of the biconvex positive lens L8, both surfaces of the biconvex positive lens L9, and both surfaces of the biconcave negative lens L10.

Next, an optical system according to an example 17 will be described below. FIG. 24A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 17. Moreover, FIG. 24B, FIG. 24C, FIG. 24D, and FIG. 24E are aberration diagrams of the optical system according to the example 17.

The optical system according to the example 17, as shown in FIG. 24A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The first lens unit G1 includes a biconvex positive lens L1, a biconvex positive lens L2, a biconvex positive lens L3, and a biconcave negative lens L4. The biconvex positive lens L3 and the biconcave negative lens L4 are cemented.

The second lens unit G2 includes a negative meniscus lens L5 having a convex surface directed toward an image side, a positive meniscus lens L6 having a convex surface directed toward the image side, a biconvex positive lens L7, a positive meniscus lens L8 having a convex surface directed toward the object side, and a biconcave negative lens L9. The negative meniscus lens L5 and the positive meniscus lens L6 are cemented. A predetermined lens unit includes a biconcave negative lens L9.

The aperture stop S is disposed between the biconcave negative lens L4 and the negative meniscus lens L5.

An aspheric surface is provided to seven surfaces namely, a surface on the image side of the biconvex positive lens L2, both surfaces of the biconvex positive lens L7, both surfaces of the positive meniscus lens L8, and both surfaces of the biconcave negative lens L9.

Next, an optical system according to an example 18 will be described below. FIG. 25A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 18. Moreover, FIG. 25B, FIG. 25C, FIG. 25D, and FIG. 25E are aberration diagrams of the optical system according to the example 18.

The optical system according to the example 18, as shown in FIG. 25A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The second lens unit G2 includes a negative meniscus lens L5 having a convex surface directed toward the object side, a positive meniscus lens L6 having a convex surface directed toward the object side, a biconvex positive lens L7, a positive meniscus lens L8 having a convex surface directed toward an image side, a biconcave negative lens L9, and a negative meniscus lens L10 having a convex surface directed toward the image side. The negative meniscus lens L5 and the positive meniscus lens L6 are cemented. A predetermined lens unit includes the biconcave negative lens L9 and the negative meniscus lens L10.

The aperture stop S is disposed between the biconcave negative lens L4 and the negative meniscus lens L5.

An aspheric surface is provided to five surfaces namely, a surface on the image side of the positive meniscus lens L2, both surfaces of the biconvex positive lens L7, and both surfaces of the negative meniscus lens L10.

Next, an optical system according to an example 19 will be described below. FIG. 26A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 19. Moreover, FIG. 26B, FIG. 26C, FIG. 26D, and FIG. 26E are aberration diagrams of the optical system according to the example 19.

The optical system according to the example 19, as shown in FIG. 26A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a negative refractive power.

The first lens unit G1 includes a diffractive optical element DL, a biconvex positive lens L1, a positive meniscus lens L2 having a convex surface directed toward the object side, a biconvex positive lens L3, and a biconcave negative lens L4. The biconvex positive lens L3 and the biconcave negative lens L4 are cemented.

The second lens unit G2 includes a negative meniscus lens L5 having a convex surface directed toward the object side, a positive meniscus lens L6 having a convex surface directed toward the object side, a positive meniscus lens L7 having a convex surface directed toward the object side, a negative meniscus lens L8 having a convex surface directed toward an image side, a biconvex positive lens L9, a biconcave negative lens L10, and a biconcave negative lens L11. The negative meniscus lens L5 and the positive meniscus lens L6 are cemented. A predetermined lens unit includes the biconcave negative lens L10 and the biconcave negative lens L11.

The diffractive optical element DL has a positive refractive power as a whole. The diffractive optical element DL includes a positive meniscus lens having a convex surface directed toward the object side and a negative meniscus lens having a convex surface directed toward the object side. A relief pattern is formed at an interface of the positive meniscus lens and the negative meniscus lens, and the interface is let to be a diffractive surface.

The aperture stop S is disposed between the biconcave negative lens L4 and the negative meniscus lens L5.

An aspheric surface is provided to 12 surfaces namely, a surface on the object side of the biconvex positive lens L1, a surface on the image side of the positive meniscus lens L2, both surfaces of the positive meniscus lens L7, both surfaces of the negative meniscus lens L8, both surfaces of the biconvex positive lens L9, both surfaces of the biconcave negative lens L10, and both surfaces of the biconcave negative lens L11.

Next, an optical system according to an example 20 will be described below. FIG. 27A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 20. Moreover, FIG. 27B, FIG. 27C, FIG. 27D, and FIG. 27E are aberration diagrams of the optical system according to the example 20.

The optical system according to the example 20, as shown in FIG. 27A, includes a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The second lens unit G2 includes a biconcave negative lens L6, a biconvex positive lens L7, a biconvex positive lens L8, a positive meniscus lens L9 having a convex surface directed toward the object side, a biconvex positive lens L10, a negative meniscus lens L11 having a convex surface directed toward an image side, and a negative meniscus lens L12 having a convex surface directed toward the image side. The biconcave negative lens L6 and the biconvex positive lens L7 are cemented. A predetermined lens unit includes the negative meniscus lens L11 and the negative meniscus lens L12.

The aperture stop S is disposed between the biconcave negative lens L5 and the biconcave negative lens L6.

An aspheric surface is provided to 16 surfaces namely, both surfaces of the biconvex positive lens L1, both surfaces of the biconcave negative lens L2, both surfaces of the biconvex positive lens L3, both surfaces of the biconvex positive lens L8, both surfaces of the positive meniscus lens L9, both surfaces of the biconvex positive lens L10, both surfaces of the negative meniscus lens L11, and both surfaces of the negative meniscus lens L12.

Next, an optical system according to an example 21 will be described below. FIG. 28A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 21. Moreover, FIG. 28B, FIG. 28C, FIG. 28D, and FIG. 28E are aberration diagrams of the optical system according to the example 21.

The optical system according to the example 21, as shown in FIG. 28A, includes a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a negative refractive power.

The first lens unit G1 includes a biconvex positive lens L1, a negative meniscus lens L2 having a convex surface directed toward the object side, a biconvex positive lens L3, a biconvex positive lens L4, a biconvex positive lens L5, and a biconcave negative lens L6. The biconvex positive lens L5 and the biconcave negative lens L6 are cemented.

The second lens unit G2 includes a biconcave negative lens L7, a positive meniscus lens L8 having a convex surface directed toward the object side, a positive meniscus lens L9 having a convex surface directed toward the object side, a biconvex positive lens L10, a positive meniscus lens L11 having a convex surface directed toward the object side, a biconcave negative lens L12, and a negative meniscus lens L13 having a convex surface directed toward the object side. The biconcave negative lens L7 and the positive meniscus lens L8 are cemented. A predetermined lens unit includes the biconcave negative lens L12 and the negative meniscus lens L13.

The aperture stop S is disposed between the biconcave negative lens L6 and the biconcave negative lens L7.

An aspheric surface is provided to 16 surfaces namely, both surfaces of the biconvex positive lens L1, both surfaces of the negative meniscus lens L2, a surface on the object side of the biconvex positive lens L3, a surface on an image side of the biconvex positive lens L4, both surfaces of the positive meniscus lens L9, both surfaces of the biconvex positive lens L10, both surfaces of the positive meniscus lens L11, both surfaces of the biconcave negative lens L12, and both surfaces of the negative meniscus lens L13.

Next, an optical system according to an example 22 will be described below. FIG. 29A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 22. Moreover, FIG. 29B, FIG. 29C, FIG. 29D, and FIG. 29E are aberration diagrams of the optical system according to the example 22.

The optical system according to the example 22, as shown in FIG. 29A, includes a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a negative refractive power.

The first lens unit G1 includes a positive meniscus lens L1 having a convex surface directed toward the object side, a negative meniscus lens L2 having a convex surface directed toward the object side, a biconvex positive lens L3, a positive meniscus lens L4 having a convex surface directed toward the object side, a biconvex positive lens L5, and a biconcave negative lens L6. The biconvex positive lens L5 and the biconcave negative lens L6 are cemented.

The second lens unit G2 includes a negative meniscus lens L7 having a convex surface directed toward the object side, a positive meniscus lens L8 having a convex surface directed toward the object side, a biconvex positive lens L9, a biconcave negative lens L10, a biconvex positive lens L11, a biconcave negative lens L12, and a negative meniscus lens L13 having a convex surface directed toward an image side. The negative meniscus lens L7 and the positive meniscus lens L8 are cemented. A predetermined lens unit includes the biconcave negative lens L12 and the negative meniscus lens L13.

The aperture stop S is disposed between the biconcave negative lens L6 and the negative meniscus lens L7.

An aspheric surface is provided to 14 surfaces namely, both surfaces of the positive meniscus lens L1, a surface on the object side of the biconvex positive lens L3, a surface on the image side of the positive meniscus lens L4, both surfaces of the biconvex positive lens L9, both surfaces of the biconcave negative lens L10, both surfaces of the biconvex positive lens L11, both surfaces of the biconcave negative lens L12, and both surfaces of the negative meniscus lens L13.

Next, an optical system according to an example 23 will be described below. FIG. 30A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 23. Moreover, FIG. 30B, FIG. 30C, FIG. 30D, and FIG. 30E are aberration diagrams of the optical system according to the example 23.

The optical system according to the example 23, as shown in FIG. 30A, includes a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a negative refractive power.

The first lens unit G1 includes a negative meniscus lens L1 having a convex surface directed toward the object side, a positive meniscus lens L2 having a convex surface directed toward the object side, a negative meniscus lens L3 having a convex surface directed toward the object side, a biconvex positive lens L4, a biconvex positive lens L5, a biconvex positive lens L6, and a biconcave negative lens L7. The negative meniscus lens L1 and the positive meniscus lens L2 are cemented. Moreover, the biconvex positive lens L6 and the biconcave negative lens L7 are cemented.

The second lens unit G2 includes a negative meniscus lens L8 having a convex surface directed toward the object side, a positive meniscus lens L9 having a convex surface directed toward the object side, a biconvex positive lens L10, a biconcave negative lens L11, a biconvex positive lens L12, a biconcave negative lens L13, and a negative meniscus lens L14 having a convex surface directed toward an image side. The negative meniscus lens L8 and the positive meniscus lens L9 are cemented. A predetermined lens unit includes the biconcave negative lens L13 and the negative meniscus lens L14.

The aperture stop S is disposed between the biconcave negative lens L7 and the negative meniscus lens L8.

An aspheric surface is provided to 12 surfaces namely, a surface on the object side of the biconvex positive lens L4, a surface on the image side of the biconvex positive lens L5, both surfaces of the biconvex positive lens L10, both surfaces of the biconcave negative lens L11, both surfaces of the biconvex positive lens L12, both surfaces of the biconcave negative lens L13, and both surfaces of the negative meniscus lens L14.

Next, an optical system according to an example 24 will be described below. FIG. 31A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 24. Moreover, FIG. 31B, FIG. 31C, FIG. 31D, and FIG. 31E are aberration diagrams of the optical system according to the example 24.

The optical system according to the example 24, as shown in FIG. 31A, includes a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The first lens unit G1 includes a biconvex positive lens L1, a biconcave negative lens L2, a biconvex positive lens L3, a biconvex positive lens L4, a positive meniscus lens L5 having a convex surface directed toward an image side, and a biconcave negative lens L6. The positive meniscus lens L5 and the biconcave negative lens L6 are cemented.

The second lens unit G2 includes a biconcave negative lens L7, a biconvex positive lens L8, a biconvex positive lens L9, a negative meniscus lens L10 having a convex surface directed toward the object side, a biconvex positive lens L11, a biconcave negative lens L12, and a negative meniscus lens L13 having a convex surface directed toward the image side. The biconcave negative lens L7 and the biconvex positive lens L8 are cemented. A predetermined lens unit includes the biconcave negative lens L12 and the negative meniscus lens L13.

The aperture stop S is disposed between the biconcave negative lens L6 and the biconcave negative lens L7.

An aspheric surface is provided to 14 surfaces namely, both surfaces of the biconvex positive lens L1, a surface on the object side of the biconvex positive lens L3, a surface on the image side of the biconvex positive lens L4, both surfaces of the biconvex positive lens L9, both surfaces of the negative meniscus lens L10, both surfaces of the biconvex positive lens L11, both surfaces of the biconcave negative lens L12, and both surfaces of the negative meniscus lens L13.

Next, an optical system according to an example 25 will be described below. FIG. 32A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 25. Moreover, FIG. 32B, FIG. 32C, FIG. 32D, and FIG. 32E are aberration diagrams of the optical system according to the example 25.

The optical system according to the example 25, as shown in FIG. 32A, includes a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The second lens unit G2 includes a negative meniscus lens L7 having a convex surface directed toward the object side, a biconvex positive lens L8, a positive meniscus lens L9 having a convex surface directed toward the object side, a biconcave negative lens L10, a biconvex positive lens L11, a biconcave negative lens L12, and a biconcave negative lens L13. The negative meniscus lens L7 and the biconvex positive lens L8 are cemented. A predetermine lens unit includes the biconcave negative lens L12 and the biconcave negative lens L13.

The aperture stop S is disposed between the biconcave negative lens L6 and the negative meniscus lens L7.

An aspheric surface is provided to 14 surfaces namely, both surfaces of the biconvex positive lens L1, a surface on the object of the biconvex positive lens L3, a surface on the image side of the biconvex positive lens L4, both surfaces of the positive meniscus lens L9, both surfaces of the biconcave negative lens L10, both surfaces of the biconvex positive lens L11, both surfaces of the biconcave negative lens L12, and both surfaces of the biconcave negative lens L13.

Next, an optical system according to an example 26 will be described below. FIG. 33A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 26. Moreover, FIG. 33B, FIG. 33C, FIG. 33D, and FIG. 33E are aberration diagrams of the optical system according to the example 26.

The optical system according to the example 26, as shown in FIG. 33A, includes a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a negative refractive power.

The first lens unit G1 includes a biconvex positive lens L1, a negative meniscus lens L2 having a convex surface directed toward an object side, a biconvex positive lens L3, a biconvex positive lens L4, a positive meniscus lens L5 having a convex surface directed toward an image side, and a negative meniscus lens L6 having a convex surface directed toward the image side. The positive meniscus lens L5 and the negative meniscus lens L6 are cemented.

The second lens unit G2 includes a negative meniscus lens L7 having a convex surface directed toward the object side, a positive meniscus lens L8 having a convex surface directed toward the object side, a positive meniscus lens L9 having a convex surface directed toward the object side, a biconcave negative lens L10, a biconvex positive lens L11, a biconcave negative lens L12, and a negative meniscus lens L13 having a convex surface directed toward the image side. The negative meniscus lens L7 and the positive meniscus lens L8 are cemented. A predetermined lens unit includes the biconcave negative lens L12 and the negative meniscus L13.

The aperture stop S is disposed between the negative meniscus lens L6 and the negative meniscus lens L7.

An aspheric surface is provided to 14 surfaces namely, both surfaces of the biconvex positive lens L1, a surface on the object side of the biconvex positive lens L3, a surface on the image side of the biconvex positive lens L4, both surfaces of the positive meniscus lens L9, both surfaces of the biconcave negative lens L10, both surfaces of the biconvex positive lens L11, both surfaces of the biconcave negative lens L12, and both surfaces of the negative meniscus lens L13.

Next, an optical system according to an example 27 will be described below. FIG. 34A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 27. Moreover, FIG. 34B, FIG. 34C, FIG. 34D, and FIG. 34E are aberration diagrams of the optical system according to the example 27.

The optical system according to the example 27, as shown in FIG. 34A, includes a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a negative refractive power.

The first lens unit G1 includes a biconvex positive lens L1, a biconvex positive lens L2, a biconvex positive lens L3, a positive meniscus lens L4 having a convex surface directed toward an image side, and a negative meniscus lens L5 having a convex surface directed toward the image side. The positive meniscus lens L4 and the negative meniscus lens L5 are cemented.

The second lens unit G2 includes a negative meniscus lens L6 having a convex surface directed toward an object side, a positive meniscus lens L7 having a convex surface directed toward the object side, a positive meniscus lens L8 having a convex surface directed toward the object side, a biconcave negative lens L9, a biconvex positive lens L10, a biconcave negative lens L11, and a negative meniscus lens L12 having a convex surface directed toward the image side. The negative meniscus lens L6 and the positive meniscus lens L7 are cemented. A predetermined lens unit includes the biconcave negative lens L11 and the negative meniscus lens L12.

The aperture stop S is disposed between the negative meniscus lens L5 and the negative meniscus lens L6.

An aspheric surface is provided to 14 surfaces namely, both surfaces of the biconvex positive lens L1, a surface on the object side of the biconvex positive lens L2, a surface on the image side of the biconvex positive lens L3, both surfaces of the positive meniscus lens L8, both surfaces of the biconcave negative lens L9, both surfaces of the biconvex positive lens L10, both surfaces of the biconcave negative lens L11, and both surfaces of the negative meniscus lens L12.

Next, an optical system according to an example 28 will be described below. FIG. 35A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 28. Moreover, FIG. 35B, FIG. 35C, FIG. 35D, and FIG. 35E are aberration diagrams of the optical system according to the example 28.

The optical system according to the example 28, as shown in FIG. 35A, includes a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a negative refractive power.

The first lens unit G1 includes a positive meniscus lens L1 having a convex surface directed toward an object side, a positive meniscus lens L2 having a convex surface directed toward the object side, a biconvex positive lens L3, a positive meniscus lens L4 having a convex surface directed toward an image side, and a negative meniscus lens L5 having a convex surface directed toward the image side. The positive meniscus lens L4 and the negative meniscus lens L5 are cemented.

The second lens unit G2 includes a biconcave negative lens L6, a biconvex positive lens L7, a positive meniscus lens L8 having a convex surface directed toward the object side, a negative meniscus lens L9 having a convex surface directed toward the image side, a biconvex positive lens L10, a biconcave negative lens L11, and a biconcave negative lens L12. The biconcave negative lens L6 and the biconvex positive lens L7 are cemented. A predetermined lens unit includes the biconcave negative lens L11 and the biconcave negative lens L12.

The aperture stop S is disposed between the negative meniscus lens L5 and the biconcave negative lens L6.

An aspheric surface is provided to 14 surfaces namely, both surfaces of the positive meniscus lens L1, a surface on the object side of the positive meniscus lens L2, a surface on the image side of the biconvex positive lens L3, both surfaces of the positive meniscus lens L8, both surfaces of the negative meniscus lens L9, both surfaces of the biconvex positive lens L10, both surfaces of the biconcave negative lens L11, and both surfaces of the biconcave negative lens L12.

Next, an optical system according to an example 29 will be described below. FIG. 36A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 29. Moreover, FIG. 36B, FIG. 36C, FIG. 36D, and FIG. 36E are aberration diagrams of the optical system according to the example 29.

The optical system according to the example 29, as shown in FIG. 36A, includes a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a negative refractive power.

The aperture stop S is disposed between the negative meniscus lens L5 and the biconcave negative lens L6.

Next, an optical system according to an example 30 will be described below. FIG. 37A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 30. Moreover, FIG. 37B, FIG. 37C, FIG. 37D, and FIG. 37E are aberration diagrams of the optical system according to the example 30.

The optical system according to the example 30, as shown in FIG. 37A, includes a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a negative refractive power.

The second lens unit G2 includes a biconcave negative lens L6, a biconvex positive lens L7, a positive meniscus lens L8 having a convex surface directed toward the object side, a biconvex positive lens L9, a biconcave negative lens L10, and a biconcave negative lens L11. The biconcave negative lens L6 and the biconvex positive lens L7 are cemented. A predetermined lens unit includes the biconcave negative lens L10 and the biconcave negative lens L11.

The aperture stop S is disposed between the negative meniscus lens L5 and the biconcave negative lens L6.

An aspheric surface is provided to 12 surfaces namely, both surfaces of the positive meniscus lens L1, a surface on the object side of the positive meniscus lens L2, a surface on the image side of the biconvex positive lens L3, both surfaces of the positive meniscus lens L8, both surfaces of the biconvex positive lens L9, both surfaces of the biconcave negative lens L10, and both surfaces of the biconcave negative lens L11.

Next, an optical system according to an example 31 will be described below. FIG. 38A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 31. Moreover, FIG. 38B, FIG. 38C, FIG. 38D, and FIG. 38E are aberration diagrams of the optical system according to the example 31.

The optical system according to the example 31, as shown in FIG. 38A, includes a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a negative refractive power.

The first lens unit G1 includes a positive meniscus lens L1 having a convex surface directed toward an object side, a positive meniscus lens L2 having a convex surface directed toward the object side, a positive meniscus lens L3 having a convex surface directed toward the object side, a biconvex positive lens L4, and a biconcave negative lens L5. The biconvex positive lens L4 and the biconcave negative lens L5 are cemented.

The second lens unit G2 includes a negative meniscus lens L6 having a convex surface directed toward the object side, a positive meniscus lens L7 having a convex surface directed toward the object side, a positive meniscus lens L8 having a convex surface directed toward the object side, a positive meniscus lens L9 having a convex surface directed toward the object side, a biconvex positive lens L10, a biconcave negative lens L11, and a positive meniscus lens L12 having a convex surface directed toward the object side. The negative meniscus lens L6 and the positive meniscus lens L7 are cemented. A predetermined lens unit includes the biconcave negative lens L11 and the positive meniscus lens L12.

The aperture stop S is disposed between the biconcave negative lens L5 and the negative meniscus lens L6.

An aspheric surface is provided to 14 surfaces namely, both surfaces of the positive meniscus lens L1, a surface on the object side of the positive meniscus lens L2, a surface on an image side of the positive meniscus lens L3, both surfaces of the positive meniscus lens L8, both surfaces of the positive meniscus lens L9, both surfaces of the biconvex positive lens L10, both surfaces of the biconcave negative lens L11, and both surfaces of the positive meniscus lens L12.

Next, an optical system according to an example 32 will be described below. FIG. 39A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 32. Moreover, FIG. 39B, FIG. 39C, FIG. 39D, and FIG. 39E are aberration diagrams of the optical system according to the example 32.

The optical system according to the example 32, as shown in FIG. 39A, includes a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a negative refractive power.

The first lens unit G1 includes a positive meniscus lens L1 having a convex surface directed toward an object side, a positive meniscus lens L2 having a convex surface directed toward the object side, a positive meniscus lens L3 having a convex surface directed toward the object side, a biconvex positive lens L4, and a biconcave negative lens L5. The biconvex positive lens L4 and the biconcave negative lens L5 are cemented.

The second lens unit G2 includes a negative meniscus lens L6 having a convex surface directed toward the object side, a positive meniscus lens L7 having a convex surface directed toward the object side, a positive meniscus lens L8 having a convex surface directed toward the object side, a biconvex positive lens L9, a biconcave negative lens L10, and a positive meniscus lens L11 having a convex surface directed toward an image side. The negative meniscus lens L6 and the positive meniscus lens L7 are cemented. A predetermined lens unit includes the biconcave negative lens L10 and the positive meniscus lens L11.

The aperture stop S is disposed between the biconcave negative lens L5 and the negative meniscus lens L6.

An aspheric surface is provided to 12 surfaces namely, both surfaces of the positive meniscus lens L1, a surface on the object side of the positive meniscus lens L2, a surface on the image side of the positive meniscus lens L3, both surfaces of the positive meniscus lens L8, both surfaces of the biconvex positive lens L9, both surfaces of the biconcave negative lens L10, and both surfaces of the positive meniscus lens L11.

Next, an optical system according to an example 33 will be described below. FIG. 40A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 33. Moreover, FIG. 40B, FIG. 40C, FIG. 40D, and FIG. 40E are aberration diagrams of the optical system according to the example 33.

The optical system according to the example 33, as shown in FIG. 40A, includes a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a negative refractive power.

The first lens unit G1 includes a positive meniscus lens L1 having a convex surface directed toward an object side, a negative meniscus lens L2 having a convex surface directed toward the object side, a biconvex positive lens L3, a biconvex positive lens L4, a biconvex positive lens L5, and a biconcave negative lens L6. The biconvex positive lens L5 and the biconcave negative lens L6 are cemented.

The second lens unit G2 includes a negative meniscus lens L7 having a convex surface directed toward the object side, a positive meniscus lens L8 having a convex surface directed toward the object side, a biconvex positive lens L9, a biconcave negative lens L10, a biconvex positive lens L11, and a biconcave negative lens L12. The negative meniscus lens L7 and the positive meniscus lens L8 are cemented. A predetermine lens unit includes the biconcave negative lens L12.

The aperture stop S is disposed between the biconcave negative lens L6 and the negative meniscus lens L7.

An aspheric surface is provided to 12 surfaces namely, both surfaces of the positive meniscus lens L1, a surface on the object side of the biconvex positive lens L3, a surface on an image side of the biconvex positive lens L4, both surfaces of the biconvex positive lens L9, both surfaces of the biconcave negative lens L10, both surfaces of the biconvex positive lens L11, and both surfaces of the biconcave negative lens L12.

Next, an optical system according to an example 34 will be described below. FIG. 41A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 34. Moreover, FIG. 41B, FIG. 41C, FIG. 41D, and FIG. 41E are aberration diagrams of the optical system according to the example 34.

The optical system according to the example 34, as shown in FIG. 41A, includes a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The second lens unit G2 includes a biconcave negative lens L7, a positive meniscus lens L8 having a convex surface directed toward an object side, a biconvex positive lens L9, a positive meniscus lens L10 having a convex surface directed toward the object side, a biconvex positive lens L11, a biconcave negative lens L12, and a biconcave negative lens L13. The biconcave negative lens L7 and the positive meniscus lens L8 are cemented.

A predetermined lens unit includes the biconcave negative lens L12 and the biconcave negative lens L13.

The aperture stop S is disposed between the biconcave negative lens L6 and the biconcave negative lens L7.

An aspheric surface is provided to 15 surfaces namely, a surface on an image side of the biconvex positive lens L1, both surfaces of the biconcave negative lens L2, a surface on the object side of the biconvex positive lens L3, a surface on the image side of the biconvex positive lens L4, both surfaces of the biconvex positive lens L9, both surfaces of the positive meniscus lens L10, both surfaces of the biconvex positive lens L11, both surfaces of the biconcave negative lens L12, and both surfaces of the biconcave negative lens L13.

Next, an optical system according to an example 35 will be described below. FIG. 42A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 35. Moreover, FIG. 42B, FIG. 42C, FIG. 42D, and FIG. 42E are aberration diagrams of the optical system according to the example 35.

The optical system according to the example 35, as shown in FIG. 42A, includes a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a negative refractive power.

The second lens unit G2 includes a biconcave negative lens L7, a positive meniscus lens L8 having a convex surface directed toward an object side, a biconvex positive lens L9, a biconvex positive lens L10, a biconcave negative lens L11, and a biconcave negative lens L12. The biconcave negative lens L7 and the positive meniscus lens L8 are cemented. A predetermined lens unit includes the biconcave negative lens L11 and the biconcave negative lens L12.

The aperture stop S is disposed between the biconcave negative lens L6 and the biconcave negative lens L7.

An aspheric surface is provided to 13 surfaces namely, a surface on an image side of the biconvex positive lens L1, both surfaces of the biconcave negative lens L2, a surface on the object side of the biconvex positive lens L3, a surface on the image side of the biconvex positive lens L4, both surfaces of the biconvex positive lens L9, both surfaces of the biconvex positive lens L10, both surfaces of the biconcave negative lens L11, and both surfaces of the biconcave negative lens L12.

Next, an optical system according to an example 36 will be described below. FIG. 43A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 36. Moreover, FIG. 43B, FIG. 43C, FIG. 43D, and FIG. 43E are aberration diagrams of the optical system according to the example 36.

The optical system according to the example 36, as shown in FIG. 43A, includes a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The second lens unit G2 includes a biconcave negative lens L7, a positive meniscus lens L8 having a convex surface directed toward an object side, a biconvex positive lens L9, a biconvex positive lens L10, and a biconcave negative lens L11. The biconcave negative lens L7 and the positive meniscus lens L8 are cemented. A predetermined lens unit includes the biconcave negative lens L11.

The aperture stop S is disposed between the biconcave negative lens L6 and the biconcave negative lens L7.

An aspheric surface is provided to 11 surfaces namely, a surface on an image side of the biconvex positive lens L1, both surfaces of the biconcave negative lens L2, a surface on the object side of the biconvex positive lens L3, a surface on the image side of the biconvex positive lens L4, both surfaces of the biconvex positive lens L9, both surfaces of the biconvex positive lens L10, and both surfaces of the biconcave negative lens L11.

Next, an optical system according to an example 37 will be described below. FIG. 44A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 37. Moreover, FIG. 44B, FIG. 44C, FIG. 44D, and FIG. 44E are aberration diagrams of the optical system according to the example 37.

The optical system according to the example 37, as shown in FIG. 44A, includes a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The second lens unit G2 includes a biconcave negative lens L7, a positive meniscus lens L8 having a convex surface directed toward an object side, a biconvex positive lens L9, a biconvex positive lens L10, a biconvex positive lens L11, a biconcave negative lens L12, and a positive meniscus lens L13 having a convex surface directed toward the object side. The biconcave negative lens L7 and the positive meniscus lens L8 are cemented. A predetermined lens unit includes the biconcave negative lens L12 and the positive meniscus lens L13.

The aperture stop S is disposed between the biconcave negative lens L6 and the biconcave negative lens L7.

An aspheric surface is provided to 13 surfaces namely, a surface on an image side of the biconvex positive lens L1, both surfaces of the biconcave negative lens L2, a surface on the object side of the biconvex positive lens L3, a surface on the image side of the biconvex positive lens L4, both surfaces of the biconvex positive lens L9, both surfaces of the biconvex positive lens L10, both surfaces of the biconvex positive lens L11, and both surfaces of the biconcave negative lens L12.

Next, an optical system according to an example 38 will be described below. FIG. 45A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 38. Moreover, FIG. 45B, FIG. 45C, FIG. 45D, and FIG. 45E are aberration diagrams of the optical system according to the example 38.

The optical system according to the example 38, as shown in FIG. 45A, includes a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a negative refractive power.

The second lens unit G2 includes a biconcave negative lens L7, a positive meniscus lens L8 having a convex surface directed toward an object side, a positive meniscus lens L9 having a convex surface directed toward the object side, a biconvex positive lens L10, a biconvex positive lens L11, and a biconcave negative lens L12. The biconcave negative lens L7 and the positive meniscus lens L8 are cemented. The predetermined lens unit includes the biconcave negative lens L12.

The aperture stop S is disposed between the biconcave negative lens L6 and the biconcave negative lens L7.

An aspheric surface is provided to 13 surfaces namely, a surface on an image side of the biconvex positive lens L1, both surfaces of the biconcave negative lens L2, a surface on the object side of the biconvex positive lens L3, a surface on the image side of the biconvex positive lens L4, both surfaces of the positive meniscus lens L9, both surfaces of the biconvex positive lens L10, both surfaces of the biconvex positive lens L11, and both surfaces of the biconcave negative lens L12.

Next, an optical system according to an example 39 will be described below. FIG. 46A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 39. Moreover, FIG. 46B, FIG. 46C, FIG. 46D, and FIG. 46E are aberration diagrams of the optical system according to the example 39.

The optical system according to the example 39, as shown in FIG. 46A, includes a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a negative refractive power.

The first lens unit G1 includes a biconvex positive lens L1, a biconcave negative lens L2, a biconvex positive lens L3, a biconvex positive lens L4, a biconvex positive lens L5, and a negative meniscus lens L6 having a convex surface directed toward an image side. The biconvex positive lens L5 and the negative meniscus lens L6 are cemented.

The second lens unit G2 includes a biconvex positive lens L7, a biconcave negative lens L8, a negative meniscus lens L9 having a convex surface directed toward the image side, a biconvex positive lens L10, and a biconcave negative lens L11. The biconvex positive lens L7 and the biconcave negative lens L8 are cemented. A predetermined lens unit includes the biconcave negative lens L11.

The aperture stop S is disposed between the negative meniscus lens L6 and the biconvex positive lens L7.

An aspheric surface is provided to 10 surfaces namely, both surfaces of the biconvex positive lens L1, a surface on an object side of the biconvex positive lens L3, a surface on the image side of the biconvex positive lens L4, both surfaces of the negative meniscus lens L9, both surfaces of the biconvex positive lens L10, and both surfaces of the biconcave negative lens L11.

Next, an optical system according to an example 40 will be described below. FIG. 47A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 40. Moreover, FIG. 47B, FIG. 47C, FIG. 47D, and FIG. 47E are aberration diagrams of the optical system according to the example 40.

The optical system according to the example 40, as shown in FIG. 47A, includes a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a negative refractive power.

The second lens unit G2 includes a biconvex positive lens L7, a biconcave negative lens L8, a negative meniscus lens L9 having a convex surface directed toward an image side, a biconvex positive lens L10, and a biconcave negative lens L11. The biconvex positive lens L7 and the biconcave negative lens L8 are cemented. A predetermined lens unit includes the biconcave negative lens L11.

The aperture stop S is disposed between the biconcave negative lens L6 and the biconvex positive lens L7.

An aspheric surface is provided to 11 surfaces namely, a surface on an object side of the biconvex positive lens L1, a cemented surface of the biconvex positive lens L1 and the biconcave negative lens L2, a surface on the image side of the biconcave negative lens L2, a surface on the object side of the biconvex positive lens L3, a surface on the image side of the biconvex positive lens L4, both surfaces of the negative meniscus lens L9, both surfaces of the biconvex positive lens L10, and both surfaces of the biconcave negative lens L11.

Next, an optical system according to an example 41 will be described below. FIG. 48A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 41. Moreover, FIG. 48B, FIG. 48C, FIG. 48D, and FIG. 48E are aberration diagrams of the optical system according to the example 41.

The optical system according to the example 41, as shown in FIG. 48A, includes a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The first lens unit G1 includes a negative meniscus lens L1 having a convex surface directed toward an object side, a biconvex positive lens L2, a biconcave negative lens L3, a biconvex positive lens L4, a biconvex positive lens L5, and a biconcave negative lens L6. The negative meniscus lens L1 and the biconvex positive lens L2 are cemented. Moreover, the biconvex positive lens L5 and the biconcave negative lens L6 are cemented.

The second lens unit G2 includes a negative meniscus lens L7 having a convex surface directed toward the object side, a positive meniscus lens L8 having a convex surface directed toward the object side, a positive meniscus lens L9 having a convex surface directed toward the object side, a biconvex positive lens L10, a negative meniscus lens L11 having a convex surface directed toward the object side, a negative meniscus lens L12 having a convex surface directed toward an image side, and a biconcave negative lens L13. The negative meniscus lens L7 and the positive meniscus lens L8 are cemented. A predetermined lens unit includes the biconcave negative lens L13.

The aperture stop S is disposed between the biconcave negative lens L6 and the negative meniscus lens L7.

An aspheric surface is provided to eight surfaces namely, both surfaces of the biconcave negative lens L3, both surfaces of the biconvex positive lens L4, both surfaces of the biconvex positive lens L10, and both surfaces of the biconcave negative lens L13.

Next, an optical system according to an example 42 will be described below. FIG. 49A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 42. Moreover, FIG. 49B, FIG. 49C, FIG. 49D, and FIG. 49E are aberration diagrams of the optical system according to the example 42.

The optical system according to the example 42, as shown in FIG. 49A, includes a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The first lens unit G1 includes a biconvex positive lens L1, a negative meniscus lens L2 having a convex surface directed toward an image side, a biconcave negative lens L3, a biconvex positive lens L4, a biconvex positive lens L5, and a biconcave negative lens L6. The biconvex positive lens L1 and the negative meniscus lens L2 are cemented. Moreover, the biconvex positive lens L5 and the biconcave negative lens L6 are cemented.

The second lens unit G2 includes a negative meniscus lens L7 having a convex surface directed toward an object side, a positive meniscus lens L8 having a convex surface directed toward the object side, a positive meniscus lens L9 having a convex surface directed toward the object side, a positive meniscus lens L10 having a convex surface directed toward the object side, a biconvex positive lens L11, a negative meniscus lens L12 having a convex surface directed toward the object side, a negative meniscus lens L13 having a convex surface directed toward the image side, and a biconcave negative lens L14. The negative meniscus lens L7 and the positive meniscus lens L8 are cemented. A predetermined lens unit includes the biconcave negative lens L14.

The aperture stop S is disposed between the biconcave negative lens L6 and the negative meniscus lens L7.

An aspheric surface is provided to eight surfaces namely, both surfaces of the biconcave negative lens L3, both surfaces of the biconvex positive lens L4, both surfaces of the biconvex positive lens L11, and both surfaces of the biconcave negative lens L14.

Next, an optical system according to an example 43 will be described below. FIG. 50A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 43. Moreover, FIG. 50B, FIG. 50C, FIG. 50D, and FIG. 50E are aberration diagrams of the optical system according to the example 43.

The optical system according to the example 43, as shown in FIG. 50A, includes a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a negative refractive power.

The aperture stop S is disposed between the biconcave negative lens L6 and the biconcave negative lens L7.

Next, an optical system according to an example 44 will be described below. FIG. 51A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 44. Moreover, FIG. 51B, FIG. 51C, FIG. 51D, and FIG. 51E are aberration diagrams of the optical system according to the example 44.

The optical system according to the example 44, as shown in FIG. 51A, includes a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The second lens unit G2 includes a biconcave negative lens L7, a positive meniscus lens L8 having a convex surface directed toward an object side, a biconvex positive lens L9, a positive meniscus lens L10 having a convex surface directed toward the object side, a biconcave negative lens L11, and a biconcave negative lens L12. The biconcave negative lens L7 and the positive meniscus lens L8 are cemented. A predetermined lens unit includes the biconcave negative lens L11 and the biconcave negative lens L12.

The aperture stop S is disposed between the biconcave negative lens L6 and the biconcave negative lens L7.

An aspheric surface is provided to 13 surfaces namely, a surface on an image side of the biconvex positive lens L1, both surfaces of the biconcave negative lens L2, a surface on the object side of the biconvex positive lens L3, a surface on the image side of the biconvex positive lens L4, both surfaces of the biconvex positive lens L9, both surfaces of the positive meniscus lens L10, both surfaces of the biconcave negative lens L11, and both surfaces of the biconcave negative lens L12.

Next, an optical system according to an example 45 will be described below. FIG. 52A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 45. Moreover, FIG. 52B, FIG. 52C, FIG. 52D, and FIG. 52E are aberration diagrams of the optical system according to the example 45.

The optical system according to the example 45, as shown in FIG. 52A, includes a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The second lens unit G2 includes a biconcave negative lens L7, a positive meniscus lens L8 having a convex surface directed toward an object side, a biconvex positive lens L9, a positive meniscus lens L10 having a convex surface directed toward the object side, a biconcave negative lens L11, and a biconcave negative lens L12. The biconcave negative lens L7 and the positive meniscus lens L8 are cemented. A predetermined lens unit includes the biconcave negative lens L11 and the biconcave negative lens L12.

The aperture stop S is disposed between the biconcave negative lens L6 and the biconcave negative lens L7.

An aspheric surface is provided to 13 surfaces namely, a surface on an image side of the biconvex positive lens L1, both surfaces of the biconcave negative lens L2, a surface on the object side of the biconvex positive lens L3, a surface on the image side of the biconvex positive lens L4, both surfaces of the biconvex positive lens L9, both surfaces of the positive meniscus lens L10, both surfaces of the biconcave negative lens L11, and both surfaces of the biconcave negative lens L12.

Next, an optical system according to an example 46 will be described below. FIG. 53A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 46. Moreover, FIG. 53B, FIG. 53C, FIG. 53D, and FIG. 53E are aberration diagrams of the optical system according to the example 46.

The optical system according to the example 46, as shown in FIG. 53A, includes a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The second lens unit G2 includes a biconcave negative lens L7, a positive meniscus lens L8 having a convex surface directed toward an object side, a biconvex positive lens L9, a positive meniscus lens L10 having a convex surface directed toward the object side, a biconcave negative lens L11, and a biconcave negative lens L12. The biconcave negative lens L7 and the positive meniscus lens L8 are cemented. A predetermined lens unit includes the biconcave negative lens L11 and the biconcave negative lens L12.

The aperture stop S is disposed between the biconcave negative lens L6 and the biconcave negative lens L7.

An aspheric surface is provided to 13 surfaces namely, a surface on an image side of the biconvex positive lens L1, both surfaces of the biconcave negative lens L2, a surface on the object side of the biconvex positive lens L3, a surface on the image side of the biconvex positive lens L4, both surfaces of the biconvex positive lens L9, both surfaces of the positive meniscus lens L10, both surfaces of the biconcave negative lens L11, and both surfaces of the biconcave negative lens L12.

Next, an optical system according to an example 47 will be described below. FIG. 54A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 47. Moreover, FIG. 54B, FIG. 54C, FIG. 54D, and FIG. 54E are aberration diagrams of the optical system according to the example 47.

The optical system according to the example 47, as shown in FIG. 54A, includes a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a negative refractive power.

The aperture stop S is disposed between the biconcave negative lens L6 and the biconcave negative lens L7.

Next, an optical system according to an example 48 will be described below. FIG. 55A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 48. Moreover, FIG. 55B, FIG. 55C, FIG. 55D, and FIG. 55E are aberration diagrams of the optical system according to the example 48.

The optical system according to the example 48, as shown in FIG. 55A, includes a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a negative refractive power.

The first lens unit G1 includes a positive meniscus lens L1 having a convex surface directed toward an image side, a biconcave negative lens L2, a biconvex positive lens L3, a biconvex positive lens L4, a positive meniscus lens L5 having a convex surface directed toward an object side, and a negative meniscus lens L6 having a convex surface directed toward the object side. The positive meniscus lens L5 and the negative meniscus lens L6 are cemented.

The second lens unit G2 includes a biconcave negative lens L7, a positive meniscus lens L8 having a convex surface directed toward the object side, a biconvex positive lens L9, a positive meniscus lens L10 having a convex surface directed toward the object side, a biconcave negative lens L11, and a biconcave negative lens L12. The biconcave negative lens L7 and the positive meniscus lens L8 are cemented. A predetermined lens unit includes the biconcave negative lens L11 and the biconcave negative lens L12.

The aperture stop S is disposed between the negative meniscus lens L6 and the biconcave negative lens L7.

An aspheric surface is provided to 13 surfaces namely, a surface on the image side of the positive meniscus lens L1, both surfaces of the biconcave negative lens L2, a surface on the object side of the biconvex positive lens L3, a surface on the image side of the biconvex positive lens L4, both surfaces of the biconvex positive lens L9, both surfaces of the positive meniscus lens L10, both surfaces of the biconcave negative lens L11, and both surfaces of the biconcave negative lens L12.

Next, an optical system according to an example 49 will be described below. FIG. 56A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 49. Moreover, FIG. 56B, FIG. 56C, FIG. 56D, and FIG. 56E are aberration diagrams of the optical system according to the example 49.

The optical system according to the example 49, as shown in FIG. 56A, includes a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The second lens unit G2 includes a negative meniscus lens L7 having a convex surface directed toward the object side, a positive meniscus lens L8 having a convex surface directed toward the object side, a biconvex positive lens L9, a positive meniscus lens L10 having a convex surface directed toward the object side, a biconcave negative lens L11, and a negative meniscus lens L12 having a convex surface directed toward the image side. The negative meniscus lens L7 and the positive meniscus lens L8 are cemented. A predetermined lens unit includes the biconcave negative lens L11 and the negative meniscus lens L12.

The aperture stop S is disposed between the negative meniscus lens L6 and the negative meniscus lens L7.

Next, an optical system according to an example 50 will be described below. FIG. 57A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 50. Moreover, FIG. 57B, FIG. 57C, FIG. 57D, and FIG. 57E are aberration diagrams of the optical system according to the example 50.

The optical system according to the example 50, as shown in FIG. 57A, includes a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a negative refractive power.

The first lens unit G1 includes a biconvex positive lens L1, a biconcave negative lens L2, a biconvex positive lens L3, a positive meniscus lens L4 having a convex surface directed toward an object side, a biconvex positive lens L5, and a biconcave negative lens L6. The biconvex positive lens L5 and the biconcave negative lens L6 are cemented.

The second lens unit G2 includes a negative meniscus lens L7 having a convex surface directed toward the object side, a positive meniscus lens L8 having a convex surface directed toward the object side, a biconvex positive lens L9, a biconcave negative lens L10, a biconvex positive lens L11, and biconcave negative lens L12. The negative meniscus lens L7 and the positive meniscus lens L8 are cemented. A predetermined lens unit includes the biconcave negative lens L12.

The aperture stop S is disposed between the biconcave negative lens L6 and the negative meniscus lens L7.

An aspheric surface is provided to 12 surfaces namely, both surfaces of the biconvex positive lens L1, a surface on the object side of the biconvex positive lens L3, a surface on an image side of the positive meniscus lens L4, both surfaces of the biconvex positive lens L9, both surfaces of the biconcave negative lens L10, both surfaces of the biconvex positive lens L11, and both surfaces of the biconcave negative lens L12.

Next, an optical system according to an example 51 will be described below. FIG. 58A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 51. Moreover, FIG. 58B, FIG. 58C, FIG. 58D, and FIG. 58E are aberration diagrams of the optical system according to the example 51.

The optical system according to the example 51, as shown in FIG. 58A, includes a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a negative refractive power.

The second lens unit G2 includes a negative meniscus lens L7 having a convex surface directed toward the object side, a positive meniscus lens L8 having a convex surface directed toward the object side, a biconvex positive lens L9, a biconcave negative lens L10, a biconvex positive lens L11, and a biconcave negative lens L12. The negative meniscus lens L7 and the positive meniscus lens L8 are cemented. A predetermined lens unit includes the biconcave negative lens L12.

The aperture stop S is disposed between the biconcave negative lens L6 and the negative meniscus lens L7.

Next, an optical system according to an example 52 will be described below. FIG. 59A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 52. Moreover, FIG. 59B, FIG. 59C, FIG. 59D, and FIG. 59E are aberration diagrams of the optical system according to the example 52.

The optical system according to the example 52, as shown in FIG. 59A, includes a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a negative refractive power.

The second lens unit G2 includes a negative meniscus lens L7 having a convex surface directed toward the object side, a positive meniscus lens L8 having a convex surface directed toward the object side, a biconvex positive lens L9, a biconcave negative lens L10, a biconvex positive lens L11, and a biconcave negative lens L12. The negative meniscus lens L7 and the positive meniscus lens L8 are cemented. A predetermined lens unit includes the biconcave negative lens L12.

The aperture stop S is disposed between the biconcave negative lens L6 and the negative meniscus lens L7.

Next, an optical system according to an example 53 will be described below. FIG. 60A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 53. Moreover, FIG. 60B, FIG. 60C, FIG. 60D, and FIG. 60E are aberration diagrams of the optical system according to the example 53.

The optical system according to the example 53, as shown in FIG. 60A, includes a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a negative refractive power.

The second lens unit G2 includes a negative meniscus lens L7 having a convex surface directed toward the object side, a positive meniscus lens L8 having a convex surface directed toward the object side, a biconvex positive lens L9, a biconcave negative lens L10, a biconvex positive lens L11, and a biconcave negative lens L12. The negative meniscus lens L7 and the positive meniscus lens L8 are cemented. A predetermined lens unit includes a biconcave negative lens L12.

The aperture stop S is disposed between the biconcave negative lens L6 and the negative meniscus lens L7.

Next, an optical system according to an example 54 will be described below. FIG. 61A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 54. Moreover, FIG. 61B, FIG. 6C, FIG. 61D, and FIG. 61E are aberration diagrams of the optical system according to the example 54.

The optical system according to the example 54, as shown in FIG. 61A, includes a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a negative refractive power.

The first lens unit G1 includes a biconvex positive lens L1, a biconcave negative lens L2, a biconvex positive lens L3, a positive meniscus lens L4 having a convex surface directed toward the object side, a biconvex positive lens L5, and a biconcave negative lens L6. The biconvex positive lens L5 and the biconcave negative lens L6 are cemented.

The second lens unit G2 includes a negative meniscus lens L7 having a convex surface directed toward the object side, a positive meniscus lens L8 having a convex surface directed toward the object side, a biconvex positive lens L9, a biconcave negative lens L10, a biconvex positive lens L11, and a biconcave negative lens L12. The negative meniscus lens L7 and the positive meniscus lens L8 are cemented. A predetermined lens unit includes the biconcave negative lens L12.

The aperture stop S is disposed between the biconcave negative lens L6 and the negative meniscus lens L7.

Next, an optical system according to an example 55 will be described below. FIG. 62A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 55. Moreover, FIG. 62B, FIG. 62C, FIG. 62D, and FIG. 62E are aberration diagrams of the optical system according to the example 55.

The optical system according to the example 55, as shown in FIG. 62A, includes a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a negative refractive power.

The first lens unit G1 includes a positive meniscus lens L1 having a convex surface directed toward an object side, a biconvex positive lens L2, a positive meniscus lens L3 having a convex surface directed toward the object side, a biconvex positive lens L4, and a biconcave negative lens L5. The biconvex positive lens L4 and the biconcave negative lens L5 are cemented.

The second lens unit G2 includes a negative meniscus lens L6 having a convex surface directed toward the object side, a positive meniscus lens L7 having a convex surface directed toward the object side, a biconvex positive lens L8, a biconcave negative lens L9, a biconvex positive lens L10, a negative meniscus lens L11 having a convex surface directed toward an image side, and a biconcave negative lens L12. The negative meniscus lens L6 and the positive meniscus lens L7 are cemented. A predetermined lens unit includes the biconcave negative lens L12.

The aperture stop S is disposed between the biconcave negative lens L5 and the negative meniscus lens L6.

An aspheric surface is provided to 12 surfaces namely, both surfaces of the positive meniscus lens L1, a surface on the object side of the biconvex positive lens L2, a surface on the image side of the positive meniscus lens L3, a surface on the object side of the biconvex positive lens L8, both surfaces of the biconcave negative lens L9, both surfaces of the biconvex positive lens L10, both surfaces of the negative meniscus lens L11, an a surface on the image side of the biconcave negative lens L12.

Next, an optical system according to an example 56 will be described below. FIG. 63A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 56. Moreover, FIG. 63B, FIG. 63C, FIG. 63D, and FIG. 63E are aberration diagrams of the optical system according to the example 56.

The optical system according to the example 56, as shown in FIG. 63A, includes a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a negative refractive power.

The first lens unit G1 includes a diffractive optical element DL, a biconvex positive lens L1, a positive meniscus lens L2 having a convex surface directed toward an object side, a biconvex positive lens L3, and a biconcave negative lens L4. The biconvex positive lens L3 and the biconcave negative lens L4 are cemented.

The second lens unit G2 includes a negative meniscus lens L5 having a convex surface directed toward the object side, a positive meniscus lens L6 having a convex surface directed toward the object side, a positive meniscus lens L7 having a convex surface directed toward the object side, a negative meniscus lens L8 having a convex surface directed toward an image side, a biconvex positive lens L9, a biconcave negative lens L10, and a biconcave negative lens L11. The negative meniscus lens L5 and the positive meniscus lens L6 are cemented. A predetermined lens unit includes the biconcave negative lens L10 and the biconcave negative lens L11.

The aperture stop S is disposed between the biconcave negative lens L4 and the negative meniscus lens L5.

Next, an optical system according to an example 57 will be described below. FIG. 64A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 57. Moreover, FIG. 64B, FIG. 64C, FIG. 64D, and FIG. 64E are aberration diagrams of the optical system according to the example 57.

The optical system according to the example 57, as shown in FIG. 64A, includes a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a negative refractive power.

The first lens unit G1 includes a positive meniscus lens L1 having a convex surface directed toward an object side, a biconvex positive lens L2, a diffractive optical element DL, a biconvex positive lens L3, and a biconcave negative lens L4. The biconvex positive lens L3 and the biconcave negative lens L4 are cemented.

The second lens unit G2 includes a negative meniscus lens L5 having a convex surface directed toward the object side, a positive meniscus lens L6 having a convex surface directed toward the object side, a positive meniscus lens L7 having a convex surface directed toward the object side, a biconvex positive lens L8, a biconcave negative lens L9, and a negative meniscus lens L10 having a convex surface directed toward the object side. The negative meniscus lens L5 and the positive meniscus lens L6 are cemented. A predetermined lens unit includes the biconcave negative lens L9 and the negative meniscus lens L10.

The aperture stop S is disposed between the biconcave negative lens L4 and the negative meniscus lens L5.

An aspheric surface is provided to 11 surfaces namely, both surfaces of the positive meniscus lens L1, a surface on the object side of the biconvex positive lens L2, both surfaces of the positive meniscus lens L7, both surfaces of the biconvex positive lens L8, both surfaces of the biconcave negative lens L9, and both surfaces of the negative meniscus lens L10.

Next, an optical system according to an example 58 will be described below. FIG. 65A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 58. Moreover, FIG. 65B, FIG. 65C, FIG. 65D, and FIG. 65E are aberration diagrams of the optical system according to the example 58.

The optical system according to the example 58, as shown in FIG. 65A, includes a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a negative refractive power.

The first lens unit G1 includes a positive meniscus lens L1 having a convex surface directed toward an object side, a negative meniscus lens L2 having a convex surface directed toward the object side, a biconvex positive lens L3, a positive meniscus lens L4 having a convex surface directed toward the object side, a biconvex positive lens L5, and a biconcave negative lens L6. The biconvex positive lens L5 and the biconcave negative lens L6 are cemented.

The second lens unit G2 includes a biconcave negative lens L7, a positive meniscus lens L8 having a convex surface directed toward the object side, a biconvex positive lens L9, a biconcave negative lens L10, a diffractive optical element DL, and a biconcave negative lens L11. The biconcave negative lens L7 and the positive meniscus lens L8 are cemented. A predetermined lens unit includes a biconcave negative lens L10 and the biconcave negative lens L11.

The diffractive optical element DL has a positive refractive power as a whole. The diffractive optical element DL includes a biconvex positive lens and a negative meniscus lens having a convex surface directed toward an image side. A relief pattern is formed at an interface of the biconvex positive lens and the negative meniscus lens, and the interface is let to be a diffractive surface.

The aperture stop S is disposed between the biconcave negative lens L6 and the biconcave negative lens L7.

An aspheric surface is provided to 10 surfaces namely, both surfaces of the positive meniscus lens L1, a surface on the object side of the biconvex positive lens L3, a surface on the image side of the positive meniscus lens L4, both surfaces of the biconvex positive lens L9, both surfaces of the biconcave negative lens L10, and both surfaces of the biconcave negative lens L11.

Next, an optical system according to an example 59 will be described below. FIG. 66A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 59. Moreover, FIG. 66B, FIG. 66C, FIG. 66D, and FIG. 66E are aberration diagrams of the optical system according to the example 59.

The optical system according to the example 59, as shown in FIG. 66A, includes a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a negative refractive power.

The second lens unit G2 includes a biconcave negative lens L7, a biconvex positive lens L8, a diffractive optical element DL, a negative meniscus lens L9 having a convex surface directed toward the object side, a biconvex positive lens L10, and a biconcave negative lens L11. The biconcave negative lens L7 and the biconvex positive lens L8 are cemented. A predetermined lens unit includes the biconcave negative lens L11.

The diffractive optical element DL has a positive refractive power as a whole. The diffractive optical element DL includes a positive meniscus lens having a convex surface directed toward the object side, and a negative meniscus lens having a convex surface directed toward the object side. A relief pattern is formed at an interface of the positive meniscus lens and the negative meniscus lens, and the interface is let to be a diffractive surface.

The aperture stop S is disposed between the biconcave negative lens L6 and the biconcave negative lens L7.

An aspheric surface is provided to 12 surfaces namely, both surfaces of the positive meniscus lens L1, a surface on the object side of the biconvex positive lens L3, a surface on an image side of the biconvex positive lens L4, both surfaces of the diffractive optical element DL, both surfaces of the negative meniscus lens L9, both surfaces of the biconvex positive lens L10, and both surfaces of the biconcave negative lens L11.

Next, an optical system according to an example 60 will be described below. FIG. 67A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 60. Moreover, FIG. 67B, FIG. 67C, FIG. 67D, and FIG. 67E are aberration diagrams of the optical system according to the example 60.

The optical system according to the example 60, as shown in FIG. 67A, includes a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The first lens unit G1 includes a biconvex positive lens L1, a negative meniscus lens L2 having a convex surface directed toward an object side, a biconvex positive lens L3, a diffractive optical element DL, a biconvex positive lens L4, and a biconcave negative lens L5. The biconvex positive lens L4 and the biconcave negative lens L5 are cemented.

The second lens unit G2 includes a negative meniscus lens L6 having a convex surface directed toward the object side, a positive meniscus lens L7 having a convex surface directed toward the object side, a positive meniscus lens L8 having a convex surface directed toward the object side, a biconcave negative lens L9, a biconvex positive lens L10, and a biconcave negative lens L11. The negative meniscus lens L6 and the positive meniscus lens L7 are cemented. A predetermined lens unit includes the biconcave negative lens L11.

The diffractive optical element DL has a negative refractive power as a whole. The diffractive optical element DL includes a positive meniscus lens having a convex surface directed toward an object side and a negative meniscus lens having a convex surface directed toward the image side. A relief pattern is formed at an interface of the positive meniscus lens and the negative meniscus lens, and the interface is let to be a diffractive surface.

The aperture stop S is disposed between the biconcave negative lens L5 and the negative meniscus lens L6.

An aspheric surface is provided to 11 surfaces namely, both surfaces of the biconvex positive lens L1, a surface on the object side of the biconvex positive lens L3, both surfaces of the positive meniscus lens L8, both surfaces of the biconcave negative lens L9, both surfaces of the biconvex positive lens L10, and both surfaces of the biconcave negative lens L11.

Next, an optical system according to an example 61 will be described below. FIG. 68A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 61. Moreover, FIG. 68B, FIG. 68C, FIG. 68D, and FIG. 68E are aberration diagrams of the optical system according to the example 61.

The optical system according to the example 61, as shown in FIG. 68A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The first lens unit G1 includes a negative meniscus lens L1 having a convex surface directed toward an image side, a biconvex positive lens L2, a negative meniscus lens L3 having a convex surface directed toward the object side, a biconvex positive lens L4, a biconvex positive lens L5, and a biconcave negative lens L6. The biconvex positive lens L5 and the biconcave negative lens L6 are cemented.

The second lens unit G2 includes a biconcave negative lens L7, a biconvex positive lens L8, a biconvex positive lens L9, a negative meniscus lens L10 having a convex surface directed toward the image side, a positive meniscus lens L11 having a convex surface directed toward the image side, a negative meniscus lens L12 having a convex surface directed toward the image side, and a negative meniscus lens L13 having a convex surface directed toward the object side. The biconcave negative lens L7 and the biconvex positive lens L8 are cemented. A predetermined lens unit includes the negative meniscus lens L12 and the negative meniscus lens L13.

The aperture stop S is disposed between the biconcave negative lens L6 and the biconcave negative lens L7.

An aspheric surface is provided to 18 surfaces namely, both surfaces of the negative meniscus lens L1, both surfaces of the biconvex positive lens L2, both surfaces of the negative meniscus lens L3, both surfaces of the biconvex positive lens L4, both surfaces of the biconvex positive lens L9, both surfaces of the negative meniscus lens L10, both surfaces of the positive meniscus lens L11, both surfaces of the negative meniscus lens L12, and both surfaces of the negative meniscus lens L13.

Next, an optical system according to an example 62 will be described below. FIG. 69A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 62. Moreover, FIG. 69B, FIG. 69C, FIG. 69D, and FIG. 69E are aberration diagrams of the optical system according to the example 62.

The optical system according to the example 62, as shown in FIG. 69A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The second lens unit G2 includes a biconcave negative lens L7, a biconvex positive lens L8, a biconvex positive lens L9, a negative meniscus lens L10 having a convex surface directed toward the image side, a positive meniscus lens L11 having a convex surface directed toward the image side, a negative meniscus lens L12 having a convex surface directed toward the image side, and a negative meniscus lens L13 having a convex surface directed toward the object side. The biconcave negative lens L7 and the biconvex positive lens L8 are cemented. A predetermined lens unit includes the negative meniscus lens L12 and the negative meniscus lens L13.

The aperture stop S is disposed between the biconcave negative lens L6 and the biconcave negative lens L7.

Next, an optical system according to an example 63 will be described below. FIG. 70A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 63. Moreover, FIG. 70B, FIG. 70C, FIG. 70D, and FIG. 70E are aberration diagrams of the optical system according to the example 63.

The optical system according to the example 63, as shown in FIG. 70A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The first lens unit G1 includes a negative meniscus lens L1 having a convex surface directed toward an image side, a biconvex positive lens L2, a biconvex positive lens L3, a biconvex positive lens L4, and a biconcave negative lens L5. The biconvex positive lens L4 and the biconcave negative lens L5 are cemented.

The second lens unit G2 includes a biconcave negative lens L6, a biconvex positive lens L7, a biconvex positive lens L8, a positive meniscus lens L9 having a convex surface directed toward the image side, a negative meniscus lens L10 having a convex surface directed toward the image side, and a negative meniscus lens L11 having a convex surface directed toward the object side. The biconcave negative lens L6 and the biconvex positive lens L7 are cemented. A predetermined lens unit includes the negative meniscus lens L10 and the negative meniscus lens L11.

The aperture stop S is disposed between the biconcave negative lens L5 and the biconcave negative lens L6.

An aspheric surface is provided to 14 surfaces namely, both surfaces of the negative meniscus lens L1, both surfaces of the biconvex positive lens L2, both surfaces of the biconvex positive lens L3, both surfaces of the biconvex positive lens L8, both surfaces of the positive meniscus lens L9, both surfaces of the negative meniscus lens L10, and both surfaces of the negative meniscus lens L11.

Next, an optical system according to an example 64 will be described below. FIG. 71A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 64. Moreover, FIG. 71B, FIG. 71C, FIG. 71D, and FIG. 71E are aberration diagrams of the optical system according to the example 64.

The optical system according to the example 64, as shown in FIG. 71A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The second lens unit G2 includes a biconcave negative lens L6, a biconvex positive lens L7, a biconvex positive lens L8, a positive meniscus lens L9 having a convex surface directed toward the image side, a negative meniscus lens L10 having a convex surface directed toward the image side, and a negative meniscus lens L11 having a convex surface directed toward the object side. The biconcave negative lens L6 and the biconvex positive lens L7 are cemented. A predetermined lens unit includes the negative meniscus lens L10 and the negative meniscus lens L11.

The aperture stop S is disposed between the biconcave negative lens L5 and the biconcave negative lens L6.

Next, an optical system according to an example 65 will be described below. FIG. 72A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 65. Moreover, FIG. 72B, FIG. 72C, FIG. 72D, and FIG. 72E are aberration diagrams of the optical system according to the example 65.

The optical system according to the example 65, as shown in FIG. 72A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The second lens unit G2 includes a biconcave negative lens L7, a biconvex positive lens L8, a biconvex positive lens L9, a negative meniscus lens L10 having a convex surface directed toward the image side, a positive meniscus lens L11 having a convex surface directed toward the image side, a negative meniscus lens L12 having a convex surface directed toward the image side, and a negative meniscus lens L13 having a convex surface directed toward the object side. The biconcave negative lens L7 and the biconvex positive lens L8 are cemented. A predetermined lens unit includes the negative meniscus lens L12 and the negative meniscus lens L13.

The aperture stop S is disposed between the biconcave negative lens L6 and the biconcave negative lens L7.

Next, an optical system according to an example 66 will be described below. FIG. 73A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 66. Moreover, FIG. 73B, FIG. 73C, FIG. 73D, and FIG. 73E are aberration diagrams of the optical system according to the example 66.

The optical system according to the example 66, as shown in FIG. 73A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The second lens unit G2 includes a biconcave negative lens L7, a biconvex positive lens L8, a biconvex positive lens L9, a negative meniscus lens L10 having a convex surface directed toward the image side, a positive meniscus lens L11 having a convex surface directed toward the image side, a negative meniscus lens L12 having a convex surface directed toward the image side, and a negative meniscus lens L13 having a convex surface directed toward the object side. The biconcave negative lens L7 and the biconvex positive lens L8 are cemented. A predetermined lens unit includes the negative meniscus lens L12 and the negative meniscus lens L13.

The aperture stop S is disposed between the biconcave negative lens L6 and the biconcave negative lens L7.

Next, an optical system according to an example 67 will be described below. FIG. 74A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 67. Moreover, FIG. 74B, FIG. 74C, FIG. 74D, and FIG. 74E are aberration diagrams of the optical system according to the example 67.

The optical system according to the example 67, as shown in FIG. 74A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The second lens unit G2 includes a biconcave negative lens L7, a biconvex positive lens L8, a biconvex positive lens L9, a negative meniscus lens L10 having a convex surface directed toward the image side, a positive meniscus lens L11 having a convex surface directed toward the image side, a negative meniscus lens L12 having a convex surface directed toward the image side, and a negative meniscus lens L13 having a convex surface directed toward the object side. The biconcave negative lens L7 and the biconvex positive lens L8 are cemented. A predetermined lens unit includes the negative meniscus lens L12 and the negative meniscus lens L13.

The aperture stop S is disposed between the biconcave negative lens L6 and the biconcave negative lens L7.

Next, an optical system according to an example 68 will be described below. FIG. 75A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 68. Moreover, FIG. 75B, FIG. 75C, FIG. 75D, and FIG. 75E are aberration diagrams of the optical system according to the example 68.

The optical system according to the example 68, as shown in FIG. 75A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The first lens unit G1 includes a biconcave negative lens L1, a biconvex positive lens L2, a biconvex positive lens L3, a biconvex positive lens L4, a biconvex positive lens L5, a biconcave negative lens L6, a biconvex positive lens L7, and a negative meniscus lens L8 having a convex surface directed toward an image side. The biconvex positive lens L7 and the negative meniscus lens L8 are cemented.

The second lens unit G2 includes a biconvex positive lens L9, a positive meniscus lens L10 having a convex surface directed toward the image side, a biconcave negative lens L11, a biconvex positive lens L12, a positive meniscus lens L13 having a convex surface directed toward the object side, a biconvex positive lens L14, a negative meniscus lens L15 having a convex surface directed toward the object side, a negative meniscus lens L16 having a convex surface directed toward the image side, and a biconcave negative lens L17. The positive meniscus lens L10, the biconcave negative lens L11, and the biconvex positive lens L12 are cemented. A predetermined lens unit includes the negative meniscus lens L16 and the biconcave negative lens L17.

The aperture stop S is disposed between the negative meniscus lens L8 and the biconvex positive lens L9. More elaborately, the aperture stop is disposed between a vertex of an object-side surface of the biconvex positive lens L9 and a vertex of an image-side surface of the biconvex positive lens L9.

An aspheric surface is provided to 24 surfaces namely, both surfaces of the biconcave negative lens L1, both surfaces of the biconvex positive lens L2, both surfaces of the biconvex positive lens L3, both surfaces of the biconvex positive lens L4, both surfaces of the biconvex positive lens L5, both surfaces of the biconcave negative lens L6, both surfaces of the biconvex positive lens L9, both surfaces of the positive meniscus lens L13, both surfaces of the biconvex positive lens L14, both surfaces of the negative meniscus lens L15, both surfaces of the negative meniscus lens L16, and both surfaces of the biconcave negative lens L17.

Next, an optical system according to an example 69 will be described below. FIG. 76A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 69. Moreover, FIG. 76B, FIG. 76C, FIG. 76D, and FIG. 76E are aberration diagrams of the optical system according to the example 69.

The optical system according to the example 69, as shown in FIG. 76A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The first lens unit G1 includes a biconcave negative lens L1, a biconvex positive lens L2, a biconvex positive lens L3, a biconvex positive lens L4, a biconvex positive lens L5, a biconcave negative lens L6, a biconvex positive lens L7, and a biconcave negative lens L8. The biconvex positive lens L7 and the biconcave negative lens L8 are cemented.

The second lens unit G2 includes a biconvex positive lens L9, a positive meniscus lens L10 having a convex surface directed toward an image side, a biconcave negative lens L11, a biconvex positive lens L12, a positive meniscus lens L13 having a convex surface directed toward the object side, a biconvex positive lens L14, a negative meniscus lens L15 having a convex surface directed toward the object side, a biconvex positive lens L16, and a biconcave negative lens L17. The positive meniscus lens L10, the biconcave negative lens L11, and the biconvex positive lens L12 are cemented. A predetermined lens unit includes the biconcave negative lens L17.

The aperture stop S is disposed between the biconcave negative lens L8 and the biconvex positive lens L9. More elaborately, the aperture stop S is disposed between a vertex of an object-side surface of the biconvex positive lens L9 and a vertex of an image-side surface of the biconvex positive lens L9.

An aspheric surface is provided to 24 surfaces namely, both surfaces of the biconcave negative lens L1, both surfaces of the biconvex positive lens L2, both surfaces of the biconvex positive lens L3, both surfaces of the biconvex positive lens L4, both surfaces of the biconvex positive lens L5, both surfaces of the biconcave negative lens L6, both surfaces of the biconvex positive lens L9, both surfaces of the positive meniscus lens L13, both surfaces of the biconvex positive lens L14, both surfaces of the negative meniscus lens L15, both surfaces of the biconvex positive lens L16, and both surfaces of the biconcave negative lens L17.

Next, an optical system according to an example 70 will be described below. FIG. 77A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 70. Moreover, FIG. 77B, FIG. 77C, FIG. 77D, and FIG. 77E are aberration diagrams of the optical system according to the example 70.

The optical system according to the example 70, as shown in FIG. 77A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The first lens unit G1 includes a biconcave negative lens L1, a biconvex positive lens L2, a biconvex positive lens L3, a biconvex positive lens L4, a biconvex positive lens L5, a biconcave negative lens L6, a biconvex positive lens L7, and a biconcave negative lens L8. The biconvex positive lens L7 and the biconcave negative lens L8 are cemented.

The second lens unit G2 includes a biconvex positive lens L9, a positive meniscus lens L10 having a convex surface directed toward an image side, a biconcave negative lens L11, a biconvex positive lens L12, a positive meniscus lens L13 having a convex surface directed toward the object side, a biconvex positive lens L14, a negative meniscus lens L15 having a convex surface directed toward the object side, and a negative meniscus lens L16 having a convex surface directed toward the image side. The positive meniscus lens L10, the biconcave negative lens L11, and the biconvex positive lens L12 are cemented. A predetermined lens unit includes the negative meniscus lens L15 and the negative meniscus lens L16.

The aperture stop S is disposed between the biconcave negative lens L8 and the biconvex positive lens L9.

An aspheric surface is provided to 22 surfaces namely, both surfaces of the biconcave negative lens L1, both surfaces of the biconvex positive lens L2, both surfaces of the biconvex positive lens L3, both surfaces of the biconvex positive lens L4, both surfaces of the biconvex positive lens L5, both surfaces of the biconcave negative lens L6, both surfaces of the biconvex positive lens L9, both surfaces of the positive meniscus lens L13, both surfaces of the biconvex positive lens L14, both surfaces of the negative meniscus lens L15, and both surfaces of the negative meniscus lens L16.

Next, an optical system according to an example 71 will be described below. FIG. 78A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 71. Moreover, FIG. 78B, FIG. 78C, FIG. 78D, and FIG. 78E are aberration diagrams of the optical system according to the example 71.

The optical system according to the example 71, as shown in FIG. 78A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The first lens unit G1 includes a biconcave negative lens L1, a biconvex positive lens L2, a biconvex positive lens L3, a biconvex positive lens L4, a biconcave negative lens L5, a biconvex positive lens L6, and a biconcave negative lens L7. The biconvex positive lens L6 and the biconcave negative lens L7 are cemented.

The second lens unit G2 includes a biconvex positive lens L8, a positive meniscus lens L9 having a convex surface directed toward an image side, a biconcave negative lens L10, a biconvex positive lens L11, a positive meniscus lens L12 having a convex surface directed toward the object side, a biconvex positive lens L13, a negative meniscus lens L14 having a convex surface directed toward the object side, and a negative meniscus lens L15 having a convex surface directed toward the image side. The positive meniscus lens L9, the biconcave negative lens L10, and the biconvex positive lens L11 are cemented. A predetermined lens unit includes the negative meniscus lens L14 and the negative meniscus lens L15.

The aperture stop S is disposed between the biconcave negative lens L7 and the biconvex positive lens L8. More elaborately, the aperture stop S is disposed between a vertex of an object-side surface of the biconvex positive lens L8 and a vertex of an image-side surface of the biconvex positive lens L8.

An aspheric surface is provided to 20 surfaces namely, both surfaces of the biconcave negative lens L1, both surfaces of the biconvex positive lens L2, both surfaces of the biconvex positive lens L3, both surfaces of the biconvex positive lens L4, both surfaces of the biconcave negative lens L5, both surfaces of the biconvex positive lens L8, both surfaces of the positive meniscus lens L12, both surfaces of the biconvex positive lens L13, both surfaces of the negative meniscus lens L14, and both surfaces of the negative meniscus lens L15.

Next, an optical system according to an example 72 will be described below. FIG. 79A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 72. Moreover, FIG. 79B, FIG. 79C, FIG. 79D, and FIG. 79E are aberration diagrams of the optical system according to the example 72.

The optical system according to the example 72, as shown in FIG. 79A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The first lens unit G1 includes a negative meniscus lens L1 having a convex surface directed toward an image side, a biconvex positive lens L2, a biconvex positive lens L3, a positive meniscus lens L4 having a convex surface directed toward the image side, and a biconcave negative lens L5. The positive meniscus lens L4 and the biconcave negative lens L5 are cemented.

The second lens unit G2 includes a biconcave negative lens L6, a biconvex positive lens L7, a biconvex positive lens L8, a negative meniscus lens L9 having a convex surface directed toward the image side, a positive meniscus lens L10 having a convex surface directed toward the image side, a biconvex positive lens L11, and a negative meniscus lens L12 having a convex surface directed toward the object side. The biconcave negative lens L6 and the biconvex positive lens L7 are cemented. A predetermined lens unit includes the negative meniscus lens L12.

The aperture stop S is disposed between the biconcave negative lens L5 and the biconcave negative lens L6.

An aspheric surface is provided to 16 surfaces namely, both surfaces of the negative meniscus lens L1, both surfaces of the biconvex positive lens L2, both surfaces of the biconvex positive lens L3, both surfaces of the biconvex positive lens L8, both surfaces of the negative meniscus lens L9, both surfaces of the positive meniscus lens L10, both surfaces of the biconvex positive lens L11, and both surfaces of the negative meniscus lens L12.

Next, an optical system according to an example 73 will be described below. FIG. 80A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 73. Moreover, FIG. 80B, FIG. 80C, FIG. 80D, and FIG. 80E are aberration diagrams of the optical system according to the example 73.

The optical system according to the example 73, as shown in FIG. 80A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The first lens unit G1 includes a biconcave negative lens L1, a positive meniscus lens L2 having a convex surface directed toward an image side, a biconvex positive lens L3, a biconvex positive lens L4, a biconvex positive lens L5, a negative meniscus lens L6 having a convex surface directed toward the image side, a positive meniscus lens L7 having a convex surface directed toward the image side, a biconcave negative lens L8, a biconvex positive lens L9, and a negative meniscus lens L10 having a convex surface directed toward the image side. The biconvex positive lens L9 and the negative meniscus lens L10 are cemented.

The second lens unit G2 includes a positive meniscus lens L11 having a convex surface directed toward the object side, a biconvex positive lens L12, a biconcave negative lens L13, a biconvex positive lens L14, a positive meniscus lens L15 having a convex surface directed toward the object side, a biconvex positive lens L16, a negative meniscus lens L17 having a convex surface directed toward the object side, a positive meniscus lens L18 having a convex surface directed toward the image side, and a biconcave negative lens L19. The biconvex positive lens L12, the biconcave negative lens L13, and the biconvex positive lens L14 are cemented. A predetermined lens unit includes the biconcave negative lens L19.

The aperture stop S is disposed between the negative meniscus lens L10 and the positive meniscus lens L11.

An aspheric surface is provided to 28 surfaces namely, both surfaces of the biconcave negative lens L1, both surfaces of the positive meniscus lens L2, both surfaces of the biconvex positive lens L3, both surfaces of the biconvex positive lens L4, both surfaces of the biconvex positive lens L5, both surfaces of the negative meniscus lens L6, both surfaces of the positive meniscus lens L7, both surfaces of the biconcave negative lens L8, both surfaces of the positive meniscus lens L11, both surfaces of the positive meniscus lens L15, both surfaces of the biconvex positive lens L16, both surfaces of the negative meniscus lens L17, both surfaces of the positive meniscus lens L18, and both surfaces of the biconcave negative lens L19.

Next, an optical system according to an example 74 will be described below. FIG. 81A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 74. Moreover, FIG. 81B, FIG. 81C, FIG. 81D, and FIG. 81E are aberration diagrams of the optical system according to the example 74.

The optical system according to the example 74, as shown in FIG. 81A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The first lens unit G1 includes a negative meniscus lens L1 having a convex surface directed toward an image side, a biconvex positive lens L2, a negative meniscus lens L3 having a convex surface directed toward the image side, a biconvex positive lens L4, a positive meniscus lens L5 having a convex surface directed toward the image side, and a biconcave negative lens L6. The positive meniscus lens L5 and the biconcave negative lens L6 are cemented.

The second lens unit G2 includes a biconcave negative lens L7, a biconvex positive lens L8, a biconvex positive lens L9, a biconvex positive lens L10, a biconcave negative lens L11, a biconvex positive lens L12, a negative meniscus lens L13 having a convex surface directed toward the image side, and a biconcave negative lens L14. The biconcave negative lens L7 and the biconvex positive lens L8 are cemented. A predetermined lens unit includes the negative meniscus lens L13 and the biconcave negative lens L14.

The aperture stop S is disposed between the biconcave negative lens L6 and the biconcave negative lens L7.

An aspheric surface is provided to 20 surfaces namely, both surfaces of the negative meniscus lens L1, both surfaces of the biconvex positive lens L2, both surfaces of the negative meniscus lens L3, both surfaces of the biconvex positive lens L4, both surfaces of the biconvex positive lens L9, both surfaces of the biconvex positive lens L10, both surfaces of the biconcave negative lens L11, both surfaces of the biconvex positive lens L12, both surfaces of the negative meniscus lens L13, and both surfaces of the biconcave negative lens L14.

Next, an optical system according to an example 75 will be described below. FIG. 82A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 75. Moreover, FIG. 82B, FIG. 82C, FIG. 82D, and FIG. 82E are aberration diagrams of the optical system according to the example 75.

The optical system according to the example 75, as shown in FIG. 82A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The second lens unit G2 includes a biconcave negative lens L6, a biconvex positive lens L7, a biconvex positive lens L8, a biconvex positive lens L9, a biconcave negative lens L10, a biconvex positive lens L11, a negative meniscus lens L12 having a convex surface directed toward the image side, and a biconcave negative lens L13. The biconcave negative lens L6 and the biconvex positive lens L7 are cemented. A predetermined lens unit includes the negative meniscus lens L12 and the biconcave negative lens L13.

The aperture stop S is disposed between the biconcave negative lens L5 and the biconcave negative lens L6.

An aspheric surface is provided to 18 surfaces namely, both surfaces of the negative meniscus lens L1, both surfaces of the biconvex positive lens L2, both surfaces of the biconvex positive lens L3, both surfaces of the biconvex positive lens L8, both surfaces of the biconvex positive lens L9, both surfaces of the biconcave negative lens L10, both surfaces of the biconvex positive lens L11, both surfaces of the negative meniscus lens L12, and both surfaces of the biconcave negative lens L13.

Next, an optical system according to an example 76 will be described below. FIG. 83A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 76. Moreover, FIG. 83B, FIG. 83C, FIG. 83D, and FIG. 83E are aberration diagrams of the optical system according to the example 76.

The optical system according to the example 76, as shown in FIG. 83A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The first lens unit G1 includes a negative meniscus lens L1 having a convex surface directed toward an image side, a biconvex positive lens L2, a biconcave negative lens L3, a biconvex positive lens L4, a positive meniscus lens L5 having a convex surface directed toward the image side, and a biconcave negative lens L6. The positive meniscus lens L5 and the biconcave negative lens L6 are cemented.

The aperture stop S is disposed between the biconcave negative lens L6 and the biconcave negative lens L7.

An aspheric surface is provided to 20 surfaces namely, both surfaces of the negative meniscus lens L1, both surfaces of the biconvex positive lens L2, both surfaces of the biconcave negative lens L3, both surfaces of the biconvex positive lens L4, both surfaces of the biconvex positive lens L9, both surfaces of the biconvex positive lens L10, both surfaces of the biconcave negative lens L11, both surfaces of the biconvex positive lens L12, both surfaces of the negative meniscus lens L13, and both surfaces of the biconcave negative lens L14.

Next, an optical system according to an example 77 will be described below. FIG. 84A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 77. Moreover, FIG. 84B, FIG. 84C, FIG. 84D, and FIG. 84E are aberration diagrams of the optical system according to the example 77.

The optical system according to the example 77, as shown in FIG. 84A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The second lens unit G2 includes a biconcave negative lens L7, a biconvex positive lens L8, a biconvex positive lens L9, a biconvex positive lens L10, a negative meniscus lens L11 having a convex surface directed toward the image side, a biconvex positive lens L12, a negative meniscus lens L13 having a convex surface directed toward the image side, and a biconcave negative lens L14. The biconcave negative lens L7 and the biconvex positive lens L8 are cemented. A predetermined lens unit includes the negative meniscus lens L13 and the biconcave negative lens L14.

The aperture stop S is disposed between the biconcave negative lens L6 and the biconcave negative lens L7.

An aspheric surface is provided to 20 surfaces namely, both surfaces of the negative meniscus lens L1, both surfaces of the biconvex positive lens L2, both surfaces of the biconcave negative lens L3, both surfaces of the biconvex positive lens L4, both surfaces of the biconvex positive lens L9, both surfaces of the biconvex positive lens L10, both surfaces of the negative meniscus lens L11, both surfaces of the biconvex positive lens L12, both surfaces of the negative meniscus lens L13, and both surfaces of the biconcave negative lens L14.

Next, an optical system according to an example 78 will be described below. FIG. 85A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 78. Moreover, FIG. 85B, FIG. 85C, FIG. 85D, and FIG. 85E are aberration diagrams of the optical system according to the example 78.

The optical system according to the example 78, as shown in FIG. 85A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The first lens unit G1 includes a negative meniscus lens L1 having a convex surface directed toward an image side, a biconvex positive lens L2, a negative meniscus lens L3 having a convex surface directed toward the image side, a biconvex positive lens L4, a positive meniscus lens L5 having a convex surface directed toward the image side, and a biconcave negative lens L6. The positive meniscus lens L5 and the biconcave negative lens L6 are cemented.

The aperture stop S is disposed between the biconcave negative lens L6 and the biconcave negative lens L7.

An aspheric surface is provided to 20 surfaces namely, both surfaces of the negative meniscus lens L1, both surfaces of the biconvex positive lens L2, both surfaces of the negative meniscus lens L3, both surfaces of the biconvex positive lens L4, both surfaces of the biconvex positive lens L9, both surfaces of the biconvex positive lens L10, both surfaces of the negative meniscus lens L11, both surfaces of the biconvex positive lens L12, both surfaces of the negative meniscus lens L13, and both surfaces of the biconcave negative lens L14.

Next, an optical system according to an example 79 will be described below. FIG. 86A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 79. Moreover, FIG. 86B, FIG. 86C, FIG. 86D, and FIG. 86E are aberration diagrams of the optical system according to the example 79.

The optical system according to the example 79, as shown in FIG. 86A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The aperture stop S is disposed between the biconcave negative lens L6 and the biconcave negative lens L7.

An aspheric surface is provided to 14 surfaces namely, both surfaces of the biconvex positive lens L1, an object-side surface of the biconvex positive lens L3, an image-side surface of the biconvex positive lens L4, both surfaces of the biconvex positive lens L9, both surfaces of the negative meniscus lens L10, both surfaces of the biconvex positive lens L11, both surfaces of the biconcave negative lens L12, an both surfaces of the negative meniscus lens L13.

Next, an optical system according to an example 80 will be described below. FIG. 87A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 80. Moreover, FIG. 87B, FIG. 87C, FIG. 87D, and FIG. 87E are aberration diagrams of the optical system according to the example 80.

The optical system according to the example 80, as shown in FIG. 87A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The first lens unit G1 includes a negative meniscus lens L1 having a convex surface directed toward an image side, a biconvex positive lens L2, a biconcave negative lens L3, a biconvex positive lens L4, a biconvex positive lens L5, and a biconcave negative lens L6. The biconcave negative lens L5 and the biconcave negative lens L6 are cemented.

The second lens unit G2 includes a biconcave negative lens L7, a biconvex positive lens L8, a biconvex positive lens L9, a negative meniscus lens L10 having a convex surface directed toward the object side, a positive meniscus lens L11 having a convex surface directed toward the object side, a biconcave negative lens L12, and a biconcave negative lens L13. The biconcave negative lens L7 and the biconvex positive lens L8 are cemented. A predetermined lens unit includes the biconcave negative lens L12 and the biconcave negative lens L13.

The aperture stop S is disposed between the biconcave negative lens L6 and the biconcave negative lens L7.

An aspheric surface is provided to 10 surfaces namely, an image-side surface of the negative meniscus lens L1, an object-side surface of the biconvex positive lens L2, both surfaces of the biconvex positive lens L4, both surfaces of the biconvex positive lens L9, both surfaces of the negative meniscus lens L10, an object-side surface of the positive meniscus lens L11, and an image-side surface of the biconcave negative lens L13.

Next, an optical system according to an example 81 will be described below. FIG. 88A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 81. Moreover, FIG. 88B, FIG. 88C, FIG. 88D, and FIG. 88E are aberration diagrams of the optical system according to the example 81.

The optical system according to the example 81, as shown in FIG. 88A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The first lens unit G1 includes a negative meniscus lens L1 having a convex surface directed toward an image side, a biconvex positive lens L2, a biconcave negative lens L3, a biconvex positive lens L4, a biconvex positive lens L5, and a biconcave negative lens L6. The biconvex positive lens L5 and the biconcave negative lens L6 are cemented.

The second lens unit G2 includes a biconcave negative lens L7, a biconvex positive lens L8, a biconvex positive lens L9, a positive meniscus lens L10 having a convex surface directed toward the object side, a negative meniscus lens L11 having a convex surface directed toward the object side, a positive meniscus lens L12 having a convex surface directed toward the object side, and a biconcave negative lens L13. The biconcave negative lens L7 and the biconvex positive lens L8 are cemented. A predetermined lens unit includes the biconcave negative lens L13.

The aperture stop S is disposed between the biconcave negative lens L6 and the biconcave negative lens L7.

An aspheric surface is provided to 12 surfaces namely, an image-side surface of the negative meniscus lens L1, an object-side surface of the biconvex positive lens L2, both surfaces of the biconvex positive lens L4, both surfaces of the biconvex positive lens L9, both surfaces of the positive meniscus lens L10, both surfaces of the negative meniscus lens L11, an object-side surface of the positive meniscus lens L12, and an image-side surface of the biconcave negative lens L13.

Next, an optical system according to an example 82 will be described below. FIG. 89A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 82. Moreover, FIG. 89B, FIG. 89C, FIG. 89D, and FIG. 89E are aberration diagrams of the optical system according to the example 82.

The optical system according to the example 82, as shown in FIG. 89A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The first lens unit G1 includes a negative meniscus lens L1 having a convex surface directed toward an image side, a biconvex positive lens L2, a biconcave negative lens L3, a biconvex positive lens L4, a biconvex positive lens L5, and a biconcave negative lens L6. The biconvex positive lens L5 and the biconcave negative lens L6 are cemented.

The second lens unit G2 includes a biconcave negative lens L7, a biconvex positive lens L8, a biconvex positive lens L9, a biconcave negative lens L10, a positive meniscus lens L11 having a convex surface directed toward the object side, and a biconcave negative lens L12. The biconcave negative lens L7 and the biconvex positive lens L8 are cemented. A predetermined lens unit includes the biconcave negative lens L12.

The aperture stop S is disposed between the biconcave negative lens L6 and the biconcave negative lens L7.

An aspheric surface is provided to 10 surfaces namely, an image-side surface of the negative meniscus lens 11, an object-side lens of the biconvex positive lens L2, both surfaces of the biconvex positive lens L4, both surfaces of the biconvex positive lens L9, both surfaces of the biconcave negative lens L10, an object-side surface of the positive meniscus lens L11, and an image-side surface of the biconcave negative lens L12.

Next, an optical system according to an example 83 will be described below. FIG. 90A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 83. Moreover, FIG. 90B, FIG. 90C, FIG. 90D, and FIG. 90E are aberration diagrams of the optical system according to the example 83.

The optical system according to the example 83, as shown in FIG. 90A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The first lens unit G1 includes a negative meniscus lens L1 having a convex surface directed toward an image side, a biconvex positive lens L2, a biconcave negative lens L3, a biconvex positive lens L4, a biconvex positive lens L5, a biconvex positive lens L6, and a biconcave negative lens L7. The biconvex positive lens L6 and the biconcave negative lens L7 are cemented.

The second lens unit G2 includes a biconcave negative lens L8, a biconvex positive lens L9, a biconvex positive lens L10, a biconvex positive lens L11, a negative meniscus lens L12 having a convex surface directed toward the image side, a biconvex positive lens L13, a negative meniscus lens L14 having a convex surface directed toward the image side, and a biconcave negative lens L15. The biconcave negative lens L8 and the biconvex positive lens L9 are cemented. A predetermined lens unit includes the negative meniscus lens L14 and the biconcave negative lens L15.

The aperture stop S is disposed between the biconcave negative lens L7 and the biconcave negative lens L8.

An aspheric surface is provided to 22 surfaces namely, both surfaces of the negative meniscus lens L1, both surfaces of the biconvex positive lens L2, both surfaces of the biconcave negative lens L3, both surfaces of the biconvex positive lens L4, both surfaces of the biconvex positive lens L5, both surfaces of the biconvex positive lens L10, both surfaces of the biconvex positive lens L11, both surfaces of the negative meniscus lens L12, both surfaces of the biconvex positive lens L13, both surfaces of the negative meniscus lens L14, and both surfaces of the biconcave negative lens L15.

Next, an optical system according to an example 84 will be described below. FIG. 91A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 84. Moreover, FIG. 91B, FIG. 91C, FIG. 91D, and FIG. 91E are aberration diagrams of the optical system according to the example 84.

The optical system according to the example 84, as shown in FIG. 91A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The first lens unit G1 includes a biconvex positive lens L1, a negative meniscus lens L2 having a convex surface directed toward an image side, a positive meniscus lens L3 having a convex surface directed toward the image side, and a negative meniscus lens L4 having a convex surface directed toward the object side. The biconvex positive lens L1 and the negative meniscus lens L2 are cemented.

The second lens unit G2 includes a biconvex positive lens L5, a biconcave negative lens L6, a negative meniscus lens L7 having a convex surface directed toward the image side, a positive meniscus lens L8 having a convex surface directed toward the object side, a positive meniscus lens L9 having a convex surface directed toward the image side, and a negative meniscus lens L10 having a convex surface directed toward the object side. A predetermined lens unit includes the negative meniscus lens L10.

The aperture stop S is disposed between the negative meniscus lens L4 and the biconvex positive lens L5. More elaborately, the aperture stop S is disposed between a vertex of an object-side surface of the biconvex positive lens L5 and a vertex of an image-side surface of the biconvex positive lens L5.

An aspheric surface is provided to 16 surfaces namely, both surface of the positive meniscus lens L3, both surfaces of the negative meniscus lens L4, both surfaces of the biconvex positive lens L5, both surfaces of the biconcave negative lens L6, both surfaces of the negative meniscus lens L7, both surfaces of the positive meniscus lens L8, both surfaces of the positive meniscus lens L9, and both surfaces of the negative meniscus lens L10.

Next, an optical system according to an example 85 will be described below. FIG. 92A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 85. Moreover, FIG. 92B, FIG. 92C, FIG. 92D, and FIG. 92E are aberration diagrams of the optical system according to the example 85.

The optical system according to the example 85, as shown in FIG. 92A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The second lens unit G2 includes a biconcave negative lens L6, a biconvex positive lens L7, a biconvex positive lens L8, a biconcave negative lens L9, a biconvex positive lens L10, and a negative meniscus lens L11 having a convex surface directed toward the object side. The biconcave negative lens L6 and the biconvex positive lens L7 are cemented. A predetermined lens unit includes the negative meniscus lens L11.

The aperture stop S is disposed between the biconcave negative lens L5 and the biconcave negative lens L6.

An aspheric surface is provided to 14 surfaces namely, both surfaces of the negative meniscus lens L1, both surfaces of the biconvex positive lens L2, both surfaces of the biconvex positive lens L3, both surfaces of the biconvex positive lens L8, both surfaces of the biconcave negative lens L9, both surfaces of the biconvex positive lens L10, and both surfaces of the negative meniscus lens L11.

Next, an optical system according to an example 86 will be described below. FIG. 93A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 86. Moreover, FIG. 93B, FIG. 93C, FIG. 93D, and FIG. 93E are aberration diagrams of the optical system according to the example 86.

The optical system according to the example 86, as shown in FIG. 93A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The aperture stop S is disposed between the biconcave negative lens L5 and the biconcave negative lens L6.

An aspheric surface is provided to 14 surfaces namely, both surfaces of the negative meniscus lens L1, both surfaces of the biconvex positive lens L2, both surfaces of the biconvex positive lens L3, both surfaces of the biconvex positive lens L8, both surfaces of the biconcave negative lens L9, both surfaces of the biconvex positive lens L10, and both surfaces of the negative meniscus lens L11.

Next, an optical system according to an example 87 will be described below. FIG. 94A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 87. Moreover, FIG. 94B, FIG. 94C, FIG. 94D, and FIG. 94E are aberration diagrams of the optical system according to the example 87.

The optical system according to the example 87, as shown in FIG. 94A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The second lens unit G2 includes a biconcave negative lens L6, a biconvex positive lens L7, a biconvex positive lens L8, a negative meniscus lens L9 having a convex surface directed toward the image side, a positive meniscus lens L10 having a convex surface directed toward the image side, and a negative meniscus lens L11 having a convex surface directed toward the object side. The biconcave negative lens L6 and the biconvex positive lens L7 are cemented. A predetermined lens unit includes the negative meniscus lens L11.

The aperture stop S is disposed between the biconcave negative lens L5 and the biconcave negative lens L6.

An aspheric surface is provided to 14 surfaces namely, both surfaces of the negative meniscus lens L1, both surfaces of the biconvex positive lens L2, both surfaces of the biconvex positive lens L3, both surfaces of the biconvex positive lens L8, both surfaces of the negative meniscus lens L9, both surfaces of the positive meniscus lens L10, and both surfaces of the negative meniscus lens L11.

Next, an optical system according to an example 88 will be described below. FIG. 95A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 88. Moreover, FIG. 95B, FIG. 95C, FIG. 95D, and FIG. 95E are aberration diagrams of the optical system according to the example 88.

The optical system according to the example 88, as shown in FIG. 95A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The second lens unit G2 includes a negative meniscus lens L6 having a convex surface directed toward the object side, a biconvex positive lens L7, a biconvex positive lens L8, a negative meniscus lens L9 having a convex surface directed toward the image side, a positive meniscus lens L10 having a convex surface directed toward the image side, and a negative meniscus lens L11 having a convex surface directed toward the object side. The negative meniscus lens L6 and the biconvex positive lens L7 are cemented. A predetermined lens unit includes the negative meniscus lens L11.

The aperture stop S is disposed between the biconcave negative lens L5 and the negative meniscus lens L6. More elaborately, the aperture stop is disposed between a vertex of an object-side surface of the biconcave negative lens L5 and a vertex of an image-side surface of the biconcave negative lens L5.

An aspheric surface is provided to 14 surfaces namely, both surfaces of the negative meniscus lens L1, both surfaces of the biconvex positive lens L2, both surfaces of the biconvex positive lens L3, both surfaces of the biconvex positive lens L8, both surfaces of the negative meniscus lens L9, both surfaces of the positive meniscus lens L10, and both surfaces of the negative meniscus lens L11.

Next, an optical system according to an example 89 will be described below. FIG. 96A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 89. Moreover, FIG. 96B, FIG. 96C, FIG. 96D, and FIG. 96E are aberration diagrams of the optical system according to the example 89.

The optical system according to the example 89, as shown in FIG. 96A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The second lens unit G2 includes a biconcave negative lens L6, a biconvex positive lens L7, a biconvex positive lens L8, a biconvex positive lens L9, a negative meniscus lens L10 having a convex surface directed toward the image side, a positive meniscus lens L11 having a convex surface directed toward the image side, and a negative meniscus lens L12 having a convex surface directed toward the object side. The biconcave negative lens L6 and the biconvex positive lens L7 are cemented. A predetermined lens unit includes the negative meniscus lens L12.

The aperture stop S is disposed between the biconcave negative lens L5 and the biconcave negative lens L6.

An aspheric surface is provided to 16 surfaces namely, both surfaces of the negative meniscus lens L1, both surfaces of the biconvex positive lens L2, both surfaces of the biconvex positive lens L3, both surfaces of the biconvex positive lens L8, both surfaces of the biconvex positive lens L9, both surfaces of the negative meniscus lens L10, both surfaces of the positive meniscus lens L11, and both surfaces of the negative meniscus lens L12.

Next, an optical system according to an example 90 will be described below. FIG. 97A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 90. Moreover, FIG. 97B, FIG. 97C, FIG. 97D, and FIG. 97E are aberration diagrams of the optical system according to the example 90.

The optical system according to the example 90, as shown in FIG. 97A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The first lens unit G1 includes a biconcave negative lens L1, a biconvex positive lens L2, a biconvex positive lens L3, a biconvex positive lens L4, a positive meniscus lens L5 having a convex surface directed toward an image side, and a biconcave negative lens L6. The biconcave negative lens L1 and the biconvex positive lens L2 are cemented. Moreover, the biconvex positive lens L4, the positive meniscus lens L5, and the biconcave negative lens L6 are cemented.

The second lens unit G2 includes a negative meniscus lens L7 having a convex surface directed toward the object side, a biconvex positive lens L8, a biconvex positive lens L9, a biconcave negative lens L10, a biconvex positive lens L11, a biconcave negative lens L12, and a positive meniscus lens L13 having a convex surface directed toward the object side. The negative meniscus lens L7 and the biconvex positive lens L8 are cemented. A predetermined lens unit includes the biconcave negative lens L12 and the positive meniscus lens L13.

The aperture stop S is disposed between the biconcave negative lens L6 and the negative meniscus lens L7.

No aspheric surface is used.

Next, an optical system according to an example 91 will be described below. FIG. 98A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 91. Moreover, FIG. 98B, FIG. 98C, FIG. 98D, and FIG. 98E are aberration diagrams of the optical system according to the example 91.

The optical system according to the example 91, as shown in FIG. 98A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The aperture stop S is disposed between the biconcave negative lens L6 and the negative meniscus lens L7.

No aspheric surface is used.

Next, an optical system according to an example 92 will be described below. FIG. 99A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 92. Moreover, FIG. 99B, FIG. 99C, FIG. 99D, and FIG. 99E are aberration diagrams of the optical system according to the example 92.

The optical system according to the example 92, as shown in FIG. 99A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The first lens unit G1 includes a negative meniscus lens L1 having a convex surface directed toward an image side, a positive meniscus lens L2 having a convex surface directed toward the image side, a biconvex positive lens L3, a positive meniscus lens L4 having a convex surface directed toward the object side, a biconvex positive lens L5, and a biconcave negative lens L6. The negative meniscus lens L1 and the positive meniscus lens L2 are cemented. Moreover, the biconvex positive lens L5 and the biconcave negative lens L6 are cemented.

The second lens unit G2 includes a negative meniscus lens L7 having a convex surface directed toward the object side, a biconvex positive lens L8, a biconvex positive lens L9, a negative meniscus lens L10 having a convex surface directed toward the object side, a biconvex positive lens L11, and a negative meniscus lens L12 having a convex surface directed toward the object side. The negative meniscus lens L7 and the biconvex positive lens L8 are cemented. A predetermined lens unit includes the negative meniscus lens L12.

The aperture stop S is disposed between the biconcave negative lens L6 and the negative meniscus lens L7.

No aspheric surface is used.

Next, an optical system according to an example 93 will be described below. FIG. 100A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 93. Moreover, FIG. 100B, FIG. 100C, FIG. 100D, and FIG. 100E are aberration diagrams of the optical system according to the example 93.

The optical system according to the example 93, as shown in FIG. 100A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The aperture stop S is disposed between the biconcave negative lens L6 and the negative meniscus lens L7.

No aspheric surface is used.

Next, an optical system according to an example 94 will be described below. FIG. 101A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 94. Moreover, FIG. 101B, FIG. 101C, FIG. 101D, and FIG. 101E are aberration diagrams of the optical system according to the example 94.

The optical system according to the example 94, as shown in FIG. 101A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The first lens unit G1 includes a positive meniscus lens L1 having a convex surface directed toward an image side, a positive meniscus lens L2 having a convex surface directed toward the image side, a positive meniscus lens L3 having a convex surface directed toward the object side, a biconvex positive lens L4, and a biconcave negative lens L5. The biconvex positive lens L4 and the biconcave negative lens L5 are cemented.

The aperture stop S is disposed between the biconcave negative lens L5 and the biconcave negative lens L6.

No aspheric surface is used.

Next, an optical system according to an example 95 will be described below. FIG. 102A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 95. Moreover, FIG. 102B, FIG. 102C, FIG. 102D, and FIG. 102E are aberration diagrams of the optical system according to the example 95.

The optical system according to the example 95, as shown in FIG. 102A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The first lens unit G1 includes a positive meniscus lens L1 having a convex surface directed toward an image side, a biconvex positive lens L2, a diffractive optical element DL, a biconvex positive lens L3, and a negative meniscus lens L4 having a convex surface directed toward the image side. The biconvex positive lens L3 and the negative meniscus lens L4 are cemented.

The second lens unit G2 includes a biconcave negative lens L5, a biconvex positive lens L6, a biconvex positive lens L7, a negative meniscus lens L8 having a convex surface directed toward the object side, a biconvex positive lens L9, a negative meniscus lens L10 having a convex surface directed toward the object side, and a biconcave negative lens L11. The biconcave negative lens L5 and the biconvex positive lens L6 are cemented. A predetermined lens unit includes the negative meniscus lens L10 and the biconcave negative lens L11.

The diffractive optical element DL has a negative refractive power as a whole. The diffractive optical element DL includes a negative meniscus lens having a convex surface directed toward the image side and a biconcave negative lens. A relief pattern is formed at an interface of the negative meniscus lens and the biconcave negative lens, and the interface is let to be a diffractive surface.

The aperture stop S is disposed between the negative meniscus lens L4 and the biconcave negative lens L5.

An aspheric surface is provided to eight surfaces namely, an image-side surface of the positive meniscus lens L1, an object-side surface of the biconvex positive lens L2, both surfaces of the biconvex positive lens L7, both surfaces of the negative meniscus lens L8, an object-side surface of the biconvex positive lens L9, and an image-side surface of the biconcave negative lens L11.

Next, an optical system according to an example 96 will be described below. FIG. 103A is a cross-sectional view along an optical axis showing an optical arrangement of the optical system according to the example 96. Moreover, FIG. 103B, FIG. 103C, FIG. 103D, and FIG. 103E are aberration diagrams of the optical system according to the example 96.

The optical system according to the example 96, as shown in FIG. 103A, includes in order from an object side, a first lens unit G1 having a positive refractive power, an aperture stop S, and a second lens unit G2 having a positive refractive power.

The first lens unit G1 includes a positive meniscus lens L1 having a convex surface directed toward an image side, a biconvex positive lens L2, a positive meniscus lens L3 having a convex surface directed toward the image side, a diffractive optical element DL, a biconvex positive lens L4, and a negative meniscus lens L5 having a convex surface directed toward the image side. The biconvex positive lens L4 and the negative meniscus lens L5 are cemented.

The second lens unit G2 includes a biconcave negative lens L6, a biconvex positive lens L7, a biconvex positive lens L8, a negative meniscus lens L9 having a convex surface directed toward the object side, a biconvex positive lens L10, a biconcave negative lens L11, and a negative meniscus lens L12 having a convex surface directed toward the image side. The biconcave negative lens L6 and the biconvex positive lens L7 are cemented. A predetermined lens unit includes the biconcave negative lens L11 and the negative meniscus lens L12.

The aperture stop S is disposed between the negative meniscus lens L5 and the biconcave negative lens L6.

An aspheric surface is provided to eight surfaces namely, an image-side surface of the positive meniscus lens L1, an object-side surface of the biconvex positive lens L2, both surfaces of the biconvex positive lens L8, both surfaces of the negative meniscus lens L9, an object-side surface of the biconvex positive lens L10, and an image-side surface of the negative meniscus lens L12.

Next, numerical data of optical components comprising the image pickup optical system of each above example are shown. In numerical data of each example, r1, r2, . . . denotes a curvature radius of each lens surface, d1, d2, . . . denotes a thickness of each lens or an air distance between adjacent lens surfaces, nd1, nd2, . . . denotes a refractive index of each lens for d-line, v1, vd2, . . . denotes an Abbe number of each lens, * denotes an aspheric surface, focal length denotes a focal length of an overall optical system, fb denotes a back focus, NA denotes a numerical aperture on the object side, NA′ denotes a numerical aperture on an image side. The lens total length is the distance from the frontmost lens surface to the rearmost lens surface plus back focus. Further, back focus is a unit which is expressed upon air conversion of a distance from the lens backmost surface to a paraxial image surface.

A shape of an aspheric surface is defined by the following expression where the direction of the optical axis is represented by z, the direction orthogonal to the optical axis is represented by y, a conical coefficient is represented by K, aspheric surface coefficients are represented by A4, A6, A8, A10, A12, A14,

Z=(y²/r)/[1+{1−(1+k)(y/r)2}^1/2]+A4y⁴+A6y⁶+A8y⁸+A10y¹⁰+A12y¹²+A14y¹⁴

Further, E or e stands for exponent of ten. These symbols are commonly used in the following numerical data for each example.

Example 1

Unit mm

Surface data

Surface no.
r
d
nd
νd

Object plane
∞
10.00

1*
56.907
2.99
1.53368
55.90

2*
−4.184
0.89

3*
5.571
2.08
1.63490
23.88

4*
2.582
1.78

5*
−12.567
1.55
1.53368
55.90

6*
−9.471
0.16

7*
−81.714
1.53
1.61417
25.64

8*
16.993
1.27

9*
10.146
0.89
1.53368
55.90

10*
2551.254
0.05

11(Stop)
∞
0.05

12*
−2551.254
0.89
1.53368
55.90

13*
−10.146
1.27

14*
−16.993
1.53
1.61417
25.64

15*
81.714
0.16

16*
9.471
1.55
1.53368
55.90

17*
12.567
1.78

18*
−2.582
2.08
1.63490
23.88

19*
−5.571
0.89

20*
4.184
2.99
1.53368
55.90

21*
−56.907
10.00

Image plane
∞

Aspherical surface data

1st surface

k = −971.414

A4 = 5.02632E−004, A6 = −1.89989E−005, A8 = 7.41491E−008

2nd surface

k = −3.546

A4 = −1.17216E−004, A6 = −3.40925E−006, A8 = −7.12080E−008

3rd surface

k = −0.820

A4 = −3.68418E−004, A6 = 1.23021E−006, A8 = −1.91476E−007

4th surface

k = −2.549

A4 = −5.11751E−005, A6 = 2.59016E−005, A8 = −4.23106E−006

5th surface

k = −41.834

A4 = 1.16926E−003, A6 = 4.04202E−005, A8 = 5.90751E−007

6th surface

k = −10.826

A4 = 1.20017E−003, A6 = −1.67324E−004, A8 = 1.00681E−005

7th surface

k = −323.372

A4 = −1.33721E−003, A6 = −7.57104E−005

8th surface

k = −56.057

A4 = 5.62466E−004, A6 = 2.31800E−005

9th surface

k = −8.574

A4 = −4.31572E−004, A6 = 7.85879E−006

10th surface

k = −3367.122

A4 = −1.08162E−003

12th surface

k = −3367.122

A4 = 1.08162E−003

13th surface

k = −8.574

A4 = 4.31572E−004, A6 = −7.85879E−006

14th surface

k = −56.057

A4 = −5.62466E−004, A6 = −2.31800E−005

15th surface

k = −323.372

A4 = 1.33721E−003, A6 = 7.57104E−005

16th surface

k = −10.826

A4 = −1.20017E−003, A6 = 1.67324E−004, A8 = −1.00681E−005

17th surface

k = −41.834

A4 = −1.16926E−003, A6 = −4.04202E−005, A8 = −5.90751E−007

18th surface

k = −2.549

A4 = 5.11751E−005, A6 = −2.59016E−005, A8 = 4.23106E−006

19th surface

k = −0.820

A4 = 3.68418E−004, A6 = −1.23021E−006, A8 = 1.91476E−007

20th surface

k = −3.546

A4 = 1.17216E−004, A6 = 3.40925E−006, A8 = 7.12080E−008

21th surface

k = −971.414

A4 = −5.02632E−004, A6 = 1.89989E−005, A8 = −7.41491E−008

Various data

Focal length
103.95

Image height
3.00

Object height
3.00

fb(in air)
10.00

Lens total length(in air)
36.40

NA
0.25

NA′
0.25

Example 2

Unit mm

Surface data

Surface no.
r
d
nd
νd

Object plane
∞
10.00

1*
56.907
2.99
1.53368
55.90

2*
−4.184
0.89

3*
5.571
2.08
1.63490
23.88

4*
2.582
1.78

5*
−12.567
1.55
1.53368
55.90

6*
−9.471
0.16

7*
−81.714
1.53
1.61417
25.64

8*
16.993
1.27

9*
10.146
0.89
1.53368
55.90

10*
2551.254
0.05

11(Stop)
∞
0.05

12*
−2755.354
0.88
1.53368
55.90

13*
−10.197
1.27

14*
−17.162
1.52
1.61417
25.64

15*
80.905
0.16

16*
9.945
1.51
1.53368
55.90

17*
13.196
1.78

18*
−2.579
2.10
1.63490
23.88

19*
−5.515
0.89

20*
4.205
3.01
1.53368
55.90

21*
−52.429
9.95

Image plane
∞

Aspherical surface data

1st surface

k = −971.414

A4 = 5.02632E−004, A6 = −1.89989E−005, A8 = 7.41491E−008

2nd surface

k = −3.546

A4 = −1.17216E−004, A6 = −3.40925E−006, A8 = −7.12080E−008

3rd surface

k = −0.820

A4 = −3.68418E−004, A6 = 1.23021E−006, A8 = −1.91476E−007

4th surface

k = −2.549

A4 = −5.11751E−005, A6 = 2.59016E−005, A8 = −4.23106E−006

5th surface

k = −41.834

A4 = 1.16926E−003, A6 = 4.04202E−005, A8 = 5.90751E−007

6th surface

k = −10.826

A4 = 1.20017E−003, A6 = −1.67324E−004, A8 = 1.00681E−005

7th surface

k = −323.372

A4 = −1.33721E−003, A6 = −7.57104E−005

8th surface

k = −56.057

A4 = 5.62466E−004, A6 = 2.31800E−005

9th surface

k = −8.574

A4 = −4.31572E−004, A6 = 7.85879E−006

10th surface

k = −3367.122

A4 = −1.08162E−003

12th surface

k = −1.000

A4 = 1.01390E−003

13th surface

k = −34.706

A4 = 1.53163E−004, A6 = −3.32586E−005

14th surface

k = −115.470

A4 = −3.35747E−004, A6 = −6.40043E−005, A8 = −2.43136E−006

15th surface

k = −3938.246

A4 = 3.76944E−004, A6 = 7.29277E−005, A8 = −4.82792E−007

16th surface

k = −8.155

A4 = −1.45390E−003, A6 = 1.19689E−004, A8 = −4.23958E−006

17th surface

k = −54.092

A4 = −1.43817E−003, A6 = −4.56510E−005, A8 = −9.34587E−007

18th surface

k = −2.544

A4 = −2.21738E−004, A6 = −1.23369E−005, A8 = 1.78875E−006

19th surface

k = −0.962

A4 = 5.90516E−004, A6 = −9.40093E−007, A8 = 2.83619E−007

20th surface

k = −3.386

A4 = −5.94157E−004, A6 = −2.05054E−005, A8 = −1.51161E−007

21th surface

k = −997.069

A4 = −1.39558E−003, A6 = 3.03292E−008, A8 = −2.09782E−007

Various data

Focal length
117.54

Image height
3.00

Object height
3.04

fb(in air)
9.95

Lens total length(in air)
36.31

NA
0.25

NA′
0.25

Example 3

Unit mm

Surface data

Surface no.
r
d
nd
νd

Object plane
∞
10.00

1*
24.287
3.82
1.53368
55.90

2*
−8.002
0.24

3*
−41.811
1.65
1.53368
55.90

4*
−5.934
0.10

5*
5.062
1.71
1.63490
23.88

6*
2.521
2.46

7*
−5.494
1.55
1.53368
55.90

8*
−8.447
0.84

9*
−19.714
1.55
1.61417
25.64

10*
62.109
0.30

11*
8.611
1.45
1.53368
55.90

12*
83.241
0.10

13(Stop)
∞
0.10

14*
−83.241
1.45
1.53368
55.90

15*
−8.611
0.30

16*
−62.109
1.55
1.61417
25.64

17*
19.714
0.84

18*
8.447
1.55
1.53368
55.90

19*
5.494
2.46

20*
−2.521
1.71
1.63490
23.88

21*
−5.062
0.10

22*
5.934
1.65
1.53368
55.90

23*
41.811
0.24

24*
8.002
3.82
1.53368
55.90

25*
−24.287
10.00

Image plane
∞

Aspherical surface data

1st surface

k = −38.162

A4 = 2.16640E−004, A6 = −1.95771E−005

2nd surface

k = 0.297

A4 = 1.77235E−004

3rd surface

k = 51.696

A4 = −7.96667E−005

4th surface

k = −8.215

A4 = 3.34614E−004, A6 = −1.45043E−005

5th surface

k = −2.669

A4 = −6.29227E−004

6th surface

k = −2.293

A4 = −1.77915E−003

7th surface

k = −13.090

A4 = 2.91976E−003, A6 = −9.94891E−005, A8 = 3.38774E−006

8th surface

k = −29.993

A4 = 2.31315E−003, A6 = −2.67174E−004, A8 = 8.20378E−006

9th surface

k = −144.855

A4 = −1.30120E−003, A6 = −1.92446E−004

10th surface

k = −112.335

A4 = −4.38857E−004, A6 = 7.19917E−005

11th surface

k = −11.820

A4 = −1.83703E−003, A6 = 5.10296E−005

12th surface

k = −992.499

A4 = −2.26937E−003

14th surface

k = −992.499

A4 = 2.26937E−003

15th surface

k = −11.820

A4 = 1.83703E−003, A6 = −5.10296E−005

16th surface

k = −112.335

A4 = 4.38857E−004, A6 = −7.19917E−005

17th surface

k = −144.855

A4 = 1.30120E−003, A6 = 1.92446E−004

18th surface

k = −29.993

A4 = −2.31315E−003, A6 = 2.67174E−004, A8 = −8.20378E−006

19th surface

k = −13.090

A4 = −2.91976E−003, A6 = 9.94891E−005, A8 = −3.38774E−006

20th surface

k = −2.293

A4 = 1.77915E−003

21th surface

k = −2.669

A4 = 6.29227E−004

22th surface

k = −8.215

A4 = −3.34614E−004, A6 = 1.45043E−005

23th surface

k = 51.696

A4 = 7.96667E−005

24th surface

k = 0.297

A4 = −1.77235E−004

25th surface

k = −38.162

A4 = −2.16640E−004, A6 = 1.95771E−005

Various data

Focal length
−66.52

Image height
3.00

Object height
3.00

fb (in air)
10.00

Lens total length (in air)
41.51

NA
0.25

NA′
0.25

Example 4

Unit mm

Surface data

Surface no.
r
d
nd
νd

Object plane
∞
10.00

1*
118.590
3.22
1.53368
55.90

2*
−4.253
1.22

3*
5.650
2.03
1.63490
23.88

4*
2.592
2.12

5*
−12.289
1.26
1.53368
55.90

6*
−10.692
0.42

7*
2017.727
0.75
1.61417
25.64

8*
18.173
0.91

9*
9.307
1.21
1.53368
55.90

10*
−1637.972
0.05

11 (Stop)
∞
0.05

12*
1637.972
1.21
1.53368
55.90

13*
−9.307
0.91

14*
−18.173
0.75
1.61417
25.64

15*
−2017.727
0.42

16*
10.692
1.26
1.53368
55.90

17*
12.289
2.12

18*
−2.552
1.28
1.63490
23.88

19*
−4.995
0.20

20*
−8.574
1.73
1.61417
25.64

21*
−10.336
0.27

22*
4.253
3.22
1.53368
55.90

23*
−118.590
10.00

Image plane
∞

Aspherical surface data

1st surface

k = −8136.470

A4 = 5.71134E−004, A6 = −2.00614E−005

2nd surface

k = −3.272

A4 = 9.59493E−005, A6 = −1.26826E−005

3rd surface

k = −1.068

A4 = −5.23801E−004

4th surface

k = −2.482

A4 = −8.74470E−004

5th surface

k = −40.369

A4 = 1.42420E−004, A6 = −3.86408E−005, A8 = 7.11239E−006

6th surface

k = −10.478

A4 = 1.17511E−003, A6 = −2.78573E−004, A8 = 1.44945E−005

7th surface

k = −29.482

A4 = −1.47024E−003, A6 = −9.25880E−005

8th surface

k = −73.068

A4 = 2.28159E−004, A6 = 2.12332E−005

9th surface

k = −8.721

A4 = −3.04856E−004, A6 = 1.03002E−005

10th surface

k = −9998.897

A4 = −9.87805E−004

12th surface

k = −9998.897

A4 = 9.87805E−004

13th surface

k = −8.721

A4 = 3.04856E−004, A6 = −1.03002E−005

14th surface

k = −73.068

A4 = −2.28159E−004, A6 = −2.12332E−005

15th surface

k = −29.482

A4 = 1.47024E−003, A6 = 9.25880E−005

16th surface

k = −10.478

A4 = −1.17511E−003, A6 = 2.78573E−004, A8 = −1.44945E−005

17th surface

k = −40.369

A4 = −1.42420E−004, A6 = 3.86408E−005, A8 = −7.11239E−006

18th surface

k = −2.482

A4 = 8.47704E−004, A6 = −1.73683E−005

19th surface

k = −1.007

A4 = 1.61790E−003, A6 = −3.90652E−005

20th surface

k = −5.877

A4 = 7.79125E−004, A6 = −1.32507E−005

21th surface

k = −1.068

A4 = 5.79930E−004, A6 = 8.86427E−007

22th surface

k = −3.272

A4 = −9.59493E−005, A6 = 1.26826E−005

23th surface

k = −8136.470

A4 = −5.71134E−004, A6 = 2.00614E−005

Various data

Focal length
60.48

Image height
3.00

Object height
3.00

fb (in air)
10.00

Lens total length (in air)
36.64

NA
0.25

NA′
0.25

Example 5

Unit mm

Surface data

Surface no.
r
d
nd
νd

Object plane
∞
10.00

1*
156.483
2.97
1.53368
55.90

2*
−4.185
0.64

3*
5.631
2.24
1.63490
22.53

4*
2.482
2.06

5*
−12.289
1.26
1.53368
55.90

6*
−10.692
0.30

7*
749.711
0.75
1.61417
26.36

8*
20.875
0.91

9*
9.307
1.21
1.53368
55.90

10*
−1637.972
0.05

11 (Stop)
∞
0.05

12*
1637.972
1.21
1.53368
55.90

13*
−9.307
0.36

14*
−16.779
1.62
1.61417
29.34

15*
−107.079
0.10

16*
10.692
1.26
1.53368
55.90

17*
12.289
2.12

18*
−6.330
2.13
1.63490
23.88

19*
−4.032
0.20

20*
−3.868
1.91
1.58366
31.95

21*
11.399
1.30

22*
4.898
4.02
1.53368
55.90

23*
−20.043
18.15

Image plane
∞

Aspherical surface data

1st surface

k = −9921.522

A4 = 5.99647E−004, A6 = −2.35081E−005, A8 = −3.20796E−007

2nd surface

k = −3.735

A4 = −2.94840E−005, A6 = −9.87589E−006, A8 = −3.04656E−007

3rd surface

k = −1.357

A4 = −7.07427E−004, A6 = 1.47946E−006, A8 = 1.15313E−007

4th surface

k = −2.659

A4 = −7.98462E−004, A6 = −2.43747E−005, A8 = 5.79988E−007

5th surface

k = −40.369

A4 = 1.42420E−004, A6 = −3.86408E−005, A8 = 7.11239E−006

6th surface

k = −10.478

A4 = 1.17511E−003, A6 = −2.78573E−004, A8 = 1.44945E−005

7th surface

k = −2.268

A4 = −1.14080E−004, A6 = −1.24060E−004, A8 = −2.30974E−006

8th surface

k = −31.531

A4 = 4.20068E−004, A6 = 7.16535E−005, A8 = −5.41984E−006

9th surface

k = −8.721

A4 = −3.04856E−004, A6 = 1.03002E−005

10th surface

k = −9998.897

A4 = −9.87805E−004

12th surface

k = −9998.897

A4 = 9.87805E−004

13th surface

k = −8.721

A4 = 3.04856E−004, A6 = −1.03002E−005

14th surface

k = −70.427

A4 = 1.69673E−004, A6 = −2.70114E−005, A8 = 1.08912E−007

15th surface

k = −9997.910

A4 = 1.71452E−003, A6 = 1.19083E−004, A8 = −3.69775E−006

16th surface

k = −10.478

A4 = −1.17511E−003, A6 = 2.78573E−004, A8 = −1.44945E−005

17th surface

k = −40.369

A4 = −1.42420E−004, A6 = 3.86408E−005, A8 = −7.11239E−006

18th surface

k = −2.482

A4 = 4.04572E−004, A6 = −8.29704E−005

19th surface

k = −1.068

A4 = 2.63204E−003, A6 = −1.24324E−004

20th surface

k = −2.596

A4 = 3.85952E−003, A6 = −1.23399E−004

21th surface

k = −50.829

A4 = 9.71515E−004, A6 = −1.03384E−005

22th surface

k = −5.617

A4 = −9.26264E−005, A6 = −1.51831E−005, A8 = 2.25669E−007

23th surface

k = −1.000

A4 = −4.00926E−004, A6 = −3.90604E−006, A8 = −5.44114E−008

Various data

Focal length
26.53

Image height
5.00

Object height
2.99

fb (in air)
18.15

Lens total length (in air)
46.84

NA
0.25

NA′
0.15

Example 6

Unit mm

Surface data

Surface no.
r
d
nd
νd

Object plane
∞
1.21

1*
−0.784
0.48
1.53071
55.78

2*
−130.797
0.05

3*
0.642
0.59
1.53071
55.78

4*
2.354
0.49

5*
−2.684
0.29
1.63490
23.88

6*
17.387
0.04

7*
2.980
0.70
1.53071
55.78

8*
−1.789
−0.11

9(Stop)
∞
0.21

10*
1.410
0.54
1.53463
56.22

11*
−25.302
0.05

12*
−63.214
0.30
1.63490
23.88

13*
2.768
0.71

14*
−2.355
0.65
1.53463
56.22

15*
−0.912
0.13

16*
−251.493
0.59
1.53463
56.22

17*
1.312
1.46

Image plane
∞

Aspherical surface data

1st surface

k = −7.734

A4 = 1.18541E−001, A6 = −5.85984E−002, A8 = 2.76156E−002,

A10 = −7.67536E−003, A12 = 1.18366E−003, A14 = −7.33016E−005

2nd surface

k = 0.000

A4 = 8.48095E−002, A6 = −1.72116E−002, A8 = −1.25962E−002,

A10 = 6.37573E−003, A12 = −8.49967E−004, A14 = −3.53042E−006

3rd surface

k = −3.546

A4 = 2.70583E−001, A6 = −2.54490E−001, A8 = 1.89589E−001,

A10 = −1.87543E−001, A12 = 5.94237E−002

4th surface

k = −1.947

A4 = 9.60228E−002, A6 = −2.78077E−002, A8 = −2.47936E−003,

A10 = −5.89337E−002, A12 = 1.60644E−001

5th surface

k = −24.611

A4 = −1.29167E−001, A6 = 1.92617E−001, A8 = −6.67246E−002,

A10 = −9.41339E−002, A12 = −7.64900E−002

6th surface

k = 0.000

A4 = 7.10538E−002, A6 = 3.04047E−001, A8 = −7.45538E−001,

A10 = −1.67999E−001, A12 = 5.47114E−001

7th surface

k = −4.762

A4 = 9.68323E−002, A6 = 3.65189E−001, A8 = −8.02417E−001,

A10 = 7.47746E−002, A12 = 6.35189E−001

8th surface

k = −0.571

A4 = 4.95207E−002, A6 = −1.12153E−001, A8 = 7.03902E−001,

A10 = −1.28927E+000, A12 = 1.11371E+000

10th surface

k = 0.062

A4 = 1.37414E−002, A6 = −5.71487E−002, A8 = −3.66765E−002,

A10 = 4.18364E−001, A12 = −4.83502E−001

11th surface

k = 0.000

A4 = 1.42573E−001, A6 = −6.53135E−001, A8 = 3.84898E−001,

A10 = 2.63676E+000, A12 = −3.61580E+000, A14 = 4.20017E−001,

A16 = 4.40252E−001

12th surface

k = −495.266

A4 = 1.85957E−001, A6 = −8.01875E−001, A8 = 7.78375E−001,

A10 = 2.01491E+000, A12 = −2.75814E+000

13th surface

k = −4.665

A4 = 1.82826E−001, A6 = −3.29495E−001, A8 = 5.73943E−001,

A10 = −1.56281E−001, A12 = −1.45670E−001

14th surface

k = −1.122

A4 = −5.90880E−002, A6 = 1.80998E−001, A8 = −4.20905E−001,

A10 = 3.48644E−001, A12 = −1.35538E−001

15th surface

k = −4.154

A4 = −2.53695E−001, A6 = 3.45811E−001, A8 = −3.37286E−001,

A10 = 1.58499E−001, A12 = −2.70778E−002

16th surface

k = −420.200

A4 = −4.70698E−002, A6 = −1.74511E−002, A8 = 1.68346E−002,

A10 = −4.41443E−003, A12 = 5.27904E−004, A14 = −2.63829E−005

17th surface

k = −9.247

A4 = −7.76409E−002, A6 = 2.54240E−002, A8 = −8.61348E−003,

A10 = 1.79672E−003, A12 = −2.29048E−004, A14 = 1.31057E−005

Various data

Focal length
1.52

Image height
2.85

Object height
2.24

fb (in air)
1.46

Lens total length (in air)
7.16

NA
0.22

NA′
0.17

Example 7

Unit mm

Surface data

Surface no.
r
d
nd
νd

Object plane
∞
1.46

1*
−1.312
0.59
1.53463
56.22

2*
251.493
0.13

3*
0.912
0.65
1.53463
56.22

4*
2.355
0.71

5*
−2.768
0.30
1.63490
23.88

6*
63.214
0.05

7*
25.302
0.54
1.53463
56.22

8*
−1.410
0.21

9(Stop)
∞
−0.11

10*
1.789
0.70
1.53071
55.78

11*
−2.980
0.04

12*
−17.387
0.29
1.63490
23.88

13*
2.684
0.49

14*
−2.354
0.59
1.53071
55.78

15*
−0.642
0.05

16*
130.797
0.48
1.53071
55.78

17*
0.784
1.21

Image plane
∞

Aspherical surface data

1st surface

k = −9.247

A4 = 7.76409E−002, A6 = −2.54240E−002, A8 = 8.61348E−003,

A10 = −1.79672E−003, A12 = 2.29048E−004, A14 = −1.31057E−005

2nd surface

k = −420.200

A4 = 4.70698E−002, A6 = 1.74511E−002, A8 = −1.68346E−002,

A10 = 4.41443E−003, A12 = −5.27904E−004, A14 = 2.63829E−005

3rd surface

k = −4.154

A4 = 2.53695E−001, A6 = −3.45811E−001, A8 = 3.37286E−001,

A10 = −1.58499E−001, A12 = 2.70778E−002

4th surface

k = −1.122

A4 = 5.90880E−002, A6 = −1.80998E−001, A8 = 4.20905E−001,

A10 = −3.48644E−001, A12 = 1.35538E−001

5th surface

k = −4.665

A4 = −1.82826E−001, A6 = 3.29495E−001, A8 = −5.73943E−001,

A10 = 1.56281E−001, A12 = 1.45670E−001

6th surface

k = −495.266

A4 = −1.85957E−001, A6 = 8.01875E−001, A8 = −7.78375E−001,

A10 = −2.01491E+000, A12 = 2.75814E+000

7th surface

k = 0.000

A4 = −1.42573E−001, A6 = 6.53135E−001, A8 = −3.84898E−001,

A10 = −2.63676E+000, A12 = 3.61580E+000, A14 = −4.20017E−001,

A16 = −4.40252E−001

8th surface

k = 0.062

A4 = −1.37414E−002, A6 = 5.71487E−002, A8 = 3.66765E−002,

A10 = −4.18364E−001, A12 = 4.83502E−001

10th surface

k = −0.571

A4 = −4.95207E−002, A6 = 1.12153E−001, A8 = −7.03902E−001,

A10 = 1.28927E+000, A12 = −1.11371E+000

11th surface

k = −4.762

A4 = −9.68323E−002, A6 = −3.65189E−001, A8 = 8.02417E−001,

A10 = −7.47746E−002, A12 = −6.35189E−001

12th surface

k = 0.000

A4 = −7.10538E−002, A6 = −3.04047E−001, A8 = 7.45538E−001,

A10 = 1.67999E−001, A12 = −5.47114E−001

13th surface

k = −24.611

A4 = 1.29167E−001, A6 = −1.92617E−001, A8 = 6.67246E−002,

A10 = 9.41339E−002, A12 = 7.64900E−002

14th surface

k = −1.947

A4 = −9.60228E−002, A6 = 2.78077E−002, A8 = 2.47936E−003,

A10 = 5.89337E−002, A12 = −1.60644E−001

15th surface

k = −3.546

A4 = −2.70583E−001, A6 = 2.54490E−001, A8 = −1.89589E−001,

A10 = 1.87543E−001, A12 = −5.94237E−002

16th surface

k = 0.000

A4 = −8.48095E−002, A6 = 1.72116E−002, A8 = 1.25962E−002,

A10 = −6.37573E−003, A12 = 8.49967E−004, A14 = 3.53042E−006

17th surface

k = −7.734

A4 = −1.18541E−001, A6 = 5.85984E−002, A8 = −2.76156E−002,

A10 = 7.67536E−003, A12 = −1.18366E−003, A14 = 7.33016E−005

Various data

Focal length
1.52

Image height
2.24

Object height
2.85

fb (in air)
1.21

Lens total length (in air)
6.91

NA
0.17

NA′
0.22

Example 8

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1
20.000
3.16
1.49700
81.61
0.538

2
−29.914
1.23

3
12.304
3.27
1.49700
81.61
0.538

4*
133.906
0.19

5
9.781
3.54
1.61800
63.33
0.544

6
−30.296
0.98
1.72047
34.71
0.583

7
6.120
1.14

8 (Stop)
∞
0.73

9
−13.763
0.70
1.90366
31.32
0.595

10
−552.475
1.65
1.61800
63.33
0.544

11
−30.000
0.10

12*
7.964
2.99
1.49700
81.61
0.538

13*
29.995
1.94

14*
105.854
2.67
1.58364
30.30
0.599

15*
−9.793
5.72

16*
−5.613
0.70
1.53368
55.90
0.563

17*
4970.723
3.70

18
∞
0.30
1.51640
65.06
0.535

19
∞
0.31

Image plane
∞

Aspherical surface data

4th surface

k = 0.000

A4 = 7.06954e−05

12th surface

k = −0.579

A4 = 3.23636e−08

13th surface

k = 0.000

A4 = 1.99801e−05

14th surface

k = 0.000

A4 = −5.42705e−04

15th surface

k = 0.000

A4 = −1.29917e−05

16th surface

k = 0.000

A4 = 4.43608e−04

17th surface

k = 0.000

A4 = −7.74339e−04, A6 = −4.96705e−06

Various data

NA
0.15

Magnification
−1.04

Focal length
9.34

Image height (mm)
4.92

fb (mm) (in air)
4.21

Lens total length (mm) (in air)
34.92

Example 9

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1
24.757
4.50
1.49700
81.61
0.538

2
−20.382
0.14

3*
−83.898
1.15
1.53368
55.90
0.563

4*
28.935
0.15

5
14.657
4.68
1.49700
81.61
0.538

6*
−22.520
2.49

7
8.244
3.90
1.61800
63.33
0.544

8
−18.524
0.70
1.72047
34.71
0.583

9
6.509
1.16

10 (Stop)
∞
1.00

11
−7.654
1.06
1.90366
31.32
0.595

12
−19.862
2.42
1.61800
63.33
0.544

13
−14.476
0.10

14*
10.185
4.10
1.49700
81.61
0.538

15*
−13.446
0.10

16*
22.889
3.01
1.58364
30.30
0.599

17*
−29.222
5.24

18*
−6.641
0.70
1.53368
55.90
0.563

19*
16.877
3.70

20
∞
0.30
1.51640
65.06
0.535

21
∞
0.31

Image plane
∞

Aspherical surface data

3rd surface

k = 0.000

A4 = −5.08296e−05, A6 = −5.46138e−07

4th surface

k = 0.000

A4 = 1.91756e−05, A6 = −4.56532e−07

6th surface

k = 0.000

A4 = 4.28078e−05

14th surface

k = −0.579

A4 = −5.62366e−07

15th surface

k = 0.000

A4 = 1.84420e−04

16th surface

k = 0.000

A4 = −4.33240e−05

17th surface

k = 0.000

A4 = 1.44611e−04

18th surface

k = 0.000

A4 = 2.83534e−04

19th surface

k = 0.000

A4 = −7.46747e−04, A6 = 4.74306e−06

Various data

NA
0.21

Magnification
−1.05

Focal length
9.35

Image height (mm)
4.92

fb (mm) (in air)
4.21

Lens total length (mm) (in air)
40.82

Example 10

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1
20.000
3.29
1.49700
81.61
0.538

2
−27.197
0.40

3
12.782
3.47
1.49700
81.61
0.538

4*
186.607
0.99

5
10.290
3.50
1.61800
63.33
0.544

6
−17.388
0.86
1.72047
34.71
0.583

7
6.090
1.02

8 (Stop)
∞
0.75

9
−12.294
0.70
1.90366
31.32
0.595

10
−69.652
1.69
1.61800
63.33
0.544

11
−20.000
0.10

12
8.145
3.21
1.49700
81.61
0.538

13
−15.000
0.95
1.51742
52.43
0.556

14
11.934
0.72

15*
12.723
2.63
1.58364
30.30
0.599

16*
−12.612
5.70

17*
−5.132
0.73
1.53368
55.90
0.563

18*
−59.830
3.70

19
∞
0.30
1.51640
65.06
0.535

20
∞
0.31

Image plane
∞

Aspherical surface data

4th surface

k = 0.000

A4 = 9.03821e−05

15th surface

k = 0.000

A4 = −1.16458e−04

16th surface

k = 0.000

A4 = 3.05202e−04

17th surface

k = 0.000

A4 = 4.25245e−04

18th surface

k = 0.000

A4 = −8.51966e−04, A6 = −6.89946e−06

Various data

NA
0.15

Magnification
−1.03

Focal length
9.35

Image height (mm)
4.92

fb (mm) (in air)
4.21

Lens total length (mm) (in air)
34.91

Example 11

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1
15.000
3.56
1.49700
81.61
0.538

2
−34.400
0.10

3
11.283
3.07
1.49700
81.61
0.538

4*
114.633
1.10

5
11.882
3.29
1.61800
63.33
0.544

6
−23.894
1.08
1.72047
34.71
0.583

7
6.254
0.98

8 (Stop)
∞
0.41

9
28.157
0.70
1.90366
31.32
0.595

10
12.525
1.62
1.61800
63.33
0.544

11
29.622
4.65

12*
19.060
2.87
1.49700
81.61
0.538

13*
−20.715
0.10

14
30.351
3.69
1.86400
40.58
0.567

15
−8.760
0.84
1.56384
60.67
0.540

16
33.363
1.93

17*
−8.111
0.70
1.53368
55.90
0.563

18*
20.135
3.70

19
∞
0.30
1.51640
65.06
0.535

20
∞
0.31

Image plane
∞

Aspherical surface data

4th surface

k = 0.000

A4 = 1.82154e−04

12th surface

k = −0.579

A4 = −2.53743e−05

13th surface

k = 0.000

A4 = 1.30619e−04

17th surface

k = 0.000

A4 = 2.60653e−04

18th surface

k = 0.000

A4 = −2.39609e−04, A6 = 9.46048e−07

Various data

NA
0.15

Magnification
−1.03

Focal length
10.22

Image height (mm)
4.92

fb (mm) (in air)
4.21

Lens total length (mm) (in air)
34.91

Example 12

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1
96.073
2.73
1.84666
23.77
0.620

2*
−18.251
0.30

3*
−23.375
0.50
1.58364
30.30
0.599

4*
10.401
0.30

5*
9.515
3.87
1.49700
81.61
0.538

6
−32.363
0.10

7
10.328
3.78
1.49700
81.61
0.538

8
−34.714
0.30

9
10.969
2.74
1.61800
63.33
0.544

10
−26.411
0.61
1.72047
34.71
0.583

11
5.686
1.34

12(Stop)
∞
0.30

13
15.413
0.50
1.72047
34.71
0.583

14
9.057
1.61
1.61800
63.33
0.544

15
9.689
1.83

16*
9.565
2.26
1.49700
81.61
0.538

17*
340.758
1.70

18*
11.503
2.38
1.63490
23.88
0.630

19*
1563.756
3.01

20*
−5.590
1.96
1.53368
55.90
0.563

21*
57.014
2.21

22
∞
0.38
1.51640
65.06
0.535

23
∞
0.30

Image plane
∞

Aspherical surface data

2nd surface

k = −4.214

3rd surface

k = 0.000

A4 = 3.91871e−05, A6 = 3.19948e−08

4th surface

k = 0.000

A4 = −2.66544e−04, A6 = 4.29908e−08

5th surface

k = −1.434

A4 = −1.94439e−04

16th surface

k = −0.579

A4 = 2.99389e−04

17th surface

k = 0.000

A4 = −1.11526e−04

18th surface

k = 2.656

A4 = −2.50790e−04

19th surface

k = 0.000

A4 = 1.33117e−04

20th surface

k = 0.000

A4 = 2.61407e−04

21th surface

k = 0.000

A4 = −4.36562e−04

Various data

NA
0.18

Magnification
−1.05

Focal length
7.99

Image height (mm)
4.92

fb (mm) (in air)
2.77

Lens total length (mm) (in air)
34.88

Example 13

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1
47.665
2.51
1.84666
23.77
0.620

2*
−21.643
0.30

3*
−78.703
0.50
1.58364
30.30
0.599

4*
8.889
0.30

5*
8.817
3.03
1.49700
81.61
0.538

6
−86.120
0.10

7
9.186
3.18
1.49700
81.61
0.538

8
−23.055
0.30

9
12.987
2.57
1.61800
63.33
0.544

10
−22.422
0.87
1.72047
34.71
0.583

11
5.211
0.94

12(Stop)
∞
0.30

13
19.357
1.64
1.61800
63.33
0.544

14
−39.123
0.50
1.72047
34.71
0.583

15
11.556
3.60

16*
11.244
2.21
1.49700
81.61
0.538

17*
5498.309
2.42

18*
8.310
2.64
1.63490
23.88
0.630

19*
32.497
2.45

20*
−8.166
0.75
1.53368
55.90
0.563

21*
18.771
2.20

22
∞
0.38
1.51640
65.06
0.535

23
∞
0.31

Image plane
∞

Aspherical surface data

2nd surface

k = −3.077

3rd surface

k = 0.000

A4 = −3.60571e−05

4th surface

k = 0.000

A4 = −1.12816e−04

5th surface

k = −0.996

A4 = −7.73645e−05

16th surface

k = −0.579

A4 = 7.09702e−04

17th surface

k = 0.000

A4 = 5.12138e−04

18th surface

k = −0.174

A4 = −2.01937e−06

19th surface

k = 0.000

A4 = −3.03025e−07

20th surface

k = 0.000

A4 = 1.53947e−06

21th surface

k = 0.000

A4 = −1.55823e−06

Various data

NA
0.13

Magnification
−1.05

Focal length
8.59

Image height (mm)
4.92

fb (mm) (in air)
2.76

Lens total length (mm) (in air)
33.88

Example 14

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1
47.850
2.59
1.84666
23.77
0.620

2*
−22.343
0.30

3*
−42.136
0.50
1.58364
30.30
0.599

4*
8.363
0.45

5*
8.022
4.21
1.49700
81.61
0.538

6
−27.821
0.10

7
12.314
3.81
1.49700
81.61
0.538

8
−15.006
0.30

9
15.820
2.48
1.61800
63.33
0.544

10
−16.606
0.86
1.72047
34.71
0.583

11
5.917
1.11

12 (Stop)
∞
0.30

13
19.831
1.50
1.59542
57.26
0.547

14
8.704
3.25

15*
30.113
2.20
1.49700
81.61
0.538

16*
−129.450
1.44

17*
11.178
3.22
1.63490
23.88
0.630

18*
69.854
2.52

19*
−11.756
1.72
1.53368
55.90
0.563

20*
28.321
2.45

21
∞
0.38
1.51640
65.06
0.535

22
∞
0.30

Image plane
∞

Aspherical surface data

2nd surface

k = −6.782

3rd surface

k = 0.000

A4 = −1.06326e−04

4th surface

k = 0.000

A4 = −4.80995e−04

5th surface

k = −1.297

A4 = −2.89846e−04

15th surface

k = −0.579

A4 = −2.76313e−06

16th surface

k = 0.000

A4 = 4.96403e−06

17th surface

k = 1.161

A4 = −1.96685e−05

18th surface

k = 0.000

A4 = 9.87207e−06

19th surface

k = 0.000

A4 = 8.51271e−06

20th surface

k = 0.000

A4 = −2.32962e−05

Various data

NA
0.14

Magnification
−1.05

Focal length
9.49

Image height (mm)
4.92

fb (mm) (in air)
3.00

Lens total length (mm) (in air)
35.87

Example 15

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
17.425
1.99
1.84666
23.77
0.620

2*
26.052
2.15

3
78.603
2.65
1.49700
81.61
0.538

4
−23.793
0.10

5
20.854
2.93
1.49700
81.61
0.538

6*
−28.805
0.97

7
10.233
3.22
1.61800
63.33
0.544

8
−14.403
0.70
1.72047
34.71
0.583

9
6.263
1.54

10 (Stop)
∞
2.59

11
−23.449
1.10
1.90366
31.32
0.595

12
23.820
4.50
1.61800
63.33
0.544

13
−13.224
0.10

14*
20.191
4.92
1.49700
81.61
0.538

15*
−12.021
2.06

16*
16.842
2.97
1.58364
30.30
0.599

17*
−61.090
2.44

18*
−13.902
0.70
1.49700
81.61
0.538

19*
22.930
2.41

20*
−7.006
0.70
1.53368
55.90
0.563

21*
42.359
2.70

22
∞
0.30
1.51640
65.06
0.535

23
∞
0.31

Image plane
∞

Aspherical surface data

1st surface

k = 0.000

A4 = 1.14998e−04

2nd surface

k = 0.000

A4 = 1.87722e−04

6th surface

k = 0.000

A4 = 7.02747e−05

14th surface

k = −0.579

A4 = −8.56059e−05

15th surface

k = 0.000

A4 = −4.50576e−05

16th surface

k = 0.000

A4 = 6.70751e−05

17th surface

k = 0.000

A4 = 3.13794e−05

18th surface

k = 0.000

A4 = 3.45712e−04

19th surface

k = 0.000

A4 = 3.55414e−04

20th surface

k = 0.000

A4 = 2.17628e−04

21th surface

k = 0.000

A4 = −2.39642e−04, A6 = −9.62165e−07

Various data

NA
0.21

Magnification
−1.05

Focal length
8.84

Image height (mm)
4.92

fb (mm) (in air)
3.21

Lens total length (mm) (in air)
43.94

Example 16

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
44.490
2.90
1.84666
23.77
0.620

2*
1042.481
0.10

3
32.397
3.52
1.49700
81.61
0.538

4
−23.206
0.10

5
14.648
3.55
1.49700
81.61
0.538

6*
−33.420
0.10

7
11.152
3.61
1.61800
63.33
0.544

8
−8.805
0.70
1.72047
34.71
0.583

9
5.456
0.96

10(Stop)
∞
0.72

11
−9.368
0.70
1.90366
31.32
0.595

12
58.101
4.03
1.61800
63.33
0.544

13
−11.863
1.16

14*
22.578
4.50
1.49700
81.61
0.538

15*
−10.017
1.59

16*
33.644
3.89
1.58364
30.30
0.599

17*
−23.118
5.88

18*
−8.960
0.70
1.53368
55.90
0.563

19*
13.998
3.70

20
∞
0.30
1.51640
65.06
0.535

21
∞
0.31

Image plane
∞

Aspherical surface data

1st surface

k = 0.000

A4 = 9.48776e−05

2nd surface

k = 0.000

5A4 = 1.31636e−04

6th surface

k = 0.000

A4 = 4.63529e−05

14th surface

k = −0.579

A4 = −8.09511e−05

15th surface

k = 0.000

A4 = 1.88059e−05

16th surface

k = 0.000

A4 = −7.81147e−05

17th surface

k = 0.000

A4 = −1.26355e−05

18th surface

k = 0.000

A4 = 2.75080e−04

19th surface

k = 0.000

A4 = −4.02076e−04, A6 = 6.67549e−07

Various data

NA
0.18

Magnification
−1.05

Focal length
10.48

Image height (mm)
4.92

fb (mm) (in air)
4.21

Lens total length (mm) (in air)
42.91

Example 17

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1
30.001
3.55
1.49700
81.61
0.538

2
−20.144
0.10

3
14.839
2.95
1.49700
81.61
0.538

4*
−204.753
1.38

5
9.541
3.61
1.61800
63.33
0.544

6
−22.503
0.94
1.72047
34.71
0.583

7
5.977
1.25

8 (Stop)
∞
1.09

9
−7.570
1.76
1.90366
31.32
0.595

10
−16.099
2.78
1.61800
63.33
0.544

11
−10.217
0.10

12*
11.695
5.99
1.49700
81.61
0.538

13*
−15.540
1.31

14*
26.431
2.57
1.58364
30.30
0.599

15*
405.879
5.84

16*
−6.493
0.70
1.53368
55.90
0.563

17*
676.071
3.70

18
∞
0.30
1.51640
65.06
0.535

19
∞
0.31

Image plane
∞

Aspherical surface data

4th surface

k = 0.000

A4 = 5.71106e−05

12th surface

k = −0.579

A4 = 1.53768e−05

13th surface

k = 0.000

A4 = 6.02131e−05

14th surface

k = 0.000

A4 = −8.63826e−05

15th surface

k = 0.000

A4 = −5.74333e−05

16th surface

k = 0.000

A4 = 1.82606e−04

17th surface

k = 0.000

A4 = −4.51042e−04, A6 = −1.53697e−06

Various data

NA
0.20

Magnification
−1.05

Focal length
10.21

Image height (mm)
4.92

fb (mm) (in air)
4.21

Lens total length (mm) (in air)
40.13

Example 18

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1
20.000
3.41
1.49700
81.61
0.538

2
−21.403
0.10

3
10.837
2.84
1.49700
81.61
0.538

4*
419.463
0.10

5
29.618
2.52
1.61800
63.33
0.544

6
−14.040
0.70
1.72047
34.71
0.583

7
9.509
3.36

8 (Stop)
∞
0.20

9
15.000
0.70
1.59551
39.24
0.580

10
4.665
2.31
1.64769
33.79
0.594

11
14.569
0.75

12*
18.814
2.92
1.49700
81.61
0.538

13*
−8.306
0.10

14
−27.184
4.50
1.86400
40.58
0.567

15
−13.984
0.80

16
−10.364
2.42
1.56384
60.67
0.540

17
42.568
2.09

18*
−4.588
0.88
1.53368
55.90
0.563

19*
−17.205
3.70

20
∞
0.30
1.51640
65.06
0.535

21
∞
0.31

Image plane
∞

Aspherical surface data

4th surface

k = 0.000

A4 = 1.96955e−04

12th surface

k = −0.579

A4 = 1.16008e−04

13th surface

k = 0.000

A4 = 6.10145e−04

18th surface

k = 0.000

A4 = 5.15864e−04

19th surface

k = 0.000

A4 = −8.95475e−04, A6 = −1.08381e−05

Various data

NA
0.15

Magnification
−1.04

Focal length
8.63

Image height (mm)
4.92

fb (mm) (in air)
4.21

Lens total length (mm) (in air)
34.91

Example 19

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1
15.792
2.15
1.60999
27.48
0.620

2
23.978
0.00
1001.00000
−3.45
0.296

3
23.978
0.20
1.63762
34.21
0.594

4
23.780
2.78

5*
14.045
4.50
1.49700
81.61
0.538

6
−93.714
0.10

7
12.954
2.81
1.49700
81.61
0.538

8*
48.862
0.93

9
27.146
2.74
1.61800
63.33
0.544

10
−13.584
0.73
1.72047
34.71
0.583

11
18.090
1.34

12 (Stop)
∞
0.02

13
13.257
0.72
1.90366
31.32
0.595

14
5.010
1.34
1.61800
63.33
0.544

15
8.118
0.75

16*
6.148
2.11
1.49700
81.61
0.538

17*
10.525
2.08

18*
−7.323
3.11
1.49700
81.61
0.538

19*
−7.585
0.91

20*
14.481
3.56
1.58364
30.30
0.599

21*
−16.233
1.90

22*
−12.939
0.71
1.49700
81.61
0.538

23*
41.071
4.34

24*
−7.245
0.70
1.53368
55.90
0.563

25*
54812.275
1.21

26
∞
0.38
1.51640
65.06
0.535

27
∞
0.29

Image plane
∞

Aspherical surface data

5th surface

k = −0.985

A4 = −4.58140e−06

8th surface

k = 0.000

A4 = 3.12616e−05

16th surface

k = −0.579

A4 = −1.17288e−04

17th surface

k = 0.000

A4 = −4.12749e−05

18th surface

k = 0.000

A4 = −8.96232e−05

19th surface

k = 0.000

A4 = 5.26452e−05

20th surface

k = 0.000

A4 = 3.84196e−05

21th surface

k = 0.000

A4 = 6.16533e−05

22th surface

k = 0.000

A4 = 1.47300e−04

23th surface

k = 0.000

A4 = −6.49627e−05

24th surface

k = 0.000

A4 = −5.07397e−05

25th surface

k = 0.000

A4 = −5.85345e−04, A6 = 1.30476e−06

Various data

NA
0.15

Magnification
−1.00

Focal length
9.02

Image height (mm)
4.92

fb (mm) (in air)
1.75

Lens total length (mm) (in air)
42.28

Example 20

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
32.834
2.51
1.84666
23.77
0.620

2*
−14.478
0.74

3*
−13.008
0.70
1.58364
30.30
0.599

4*
10.024
0.11

5*
6.167
4.69
1.49700
81.61
0.538

6*
−9.896
0.16

7
14.247
2.75
1.61800
63.33
0.544

8
−9.168
0.89
1.72047
34.71
0.583

9
8.096
1.17

10 (Stop)
∞
1.16

11
−9.133
0.89
1.72047
34.71
0.583

12
13.575
1.99
1.61800
63.33
0.544

13
−13.167
0.10

14*
35.940
1.45
1.49700
81.61
0.538

15*
−35.021
0.10

16*
9.242
1.85
1.49700
81.61
0.538

17*
17.291
2.09

18*
14.145
2.00
1.63490
23.88
0.630

19*
−39.253
5.67

20*
−5.955
0.70
1.53368
55.90
0.563

21*
−14.900
2.22

22*
−5.519
0.90
1.53368
55.90
0.563

23*
−70.863
1.20

24
∞
0.38
1.51640
65.06
0.535

25
∞
0.30

Image plane
∞

Aspherical surface data

1st surface

k = 0.000

A4 = 1.50492e−04, A6 = −3.54780e−06

2nd surface

k = −2.669

A4 = 2.22005e−04, A6 = −2.69213e−06

3rd surface

k = 0.000

A4 = 3.10091e−04

4th surface

k = 0.000

A4 = −3.25978e−04

5th surface

k = −1.313

A4 = −2.31327e−04, A6 = 3.63551e−06

6th surface

k = −1.763

A4 = 1.38063e−04, A6 = −2.69269e−07

14th surface

k = −0.579

A4 = 1.44838e−04, A6 = −1.01594e−06

15th surface

k = 0.000

A4 = 2.79291e−04, A6 = −6.60640e−07

16th surface

k = 0.000

A4 = 1.42801e−04, A6 = 2.79003e−07

17th surface

k = 0.000

A4 = −1.94371e−04, A6 = 1.98964e−06

18th surface

k = −2.995

A4 = 2.02338e−04, A6 = −3.03901e−06

19th surface

k = 0.000

A4 = 3.16281e−04, A6 = −2.16676e−06

20th surface

k = 0.000

A4 = 1.23235e−03

21th surface

k = 0.000

A4 = 7.37586e−04

22th surface

k = 0.000

A4 = 1.78231e−04

23th surface

k = −207.247

A4 = −9.71403e−04, A6 = −5.03108e−06

Various data

NA
0.23

Magnification
−1.33

Focal length
5.76

Image height (mm)
4.92

fb (mm) (in air)
1.75

Lens total length (mm) (in air)
36.60

Example 21

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
37.191
2.51
1.84666
23.77
0.620

2*
−60.365
0.10

3*
45.462
0.70
1.58364
30.30
0.599

4*
17.208
0.10

5*
14.316
4.65
1.49700
81.61
0.538

6
−53.760
0.10

7
23.156
3.55
1.49700
81.61
0.538

8*
−23.670
0.10

9
22.799
2.41
1.61800
63.33
0.544

10
−29.442
0.70
1.72047
34.71
0.583

11
7.650
1.45

12 (Stop)
∞
1.07

13
−25.486
0.70
1.72047
34.71
0.583

14
7.699
2.32
1.61800
63.33
0.544

15
50.679
0.10

16*
12.228
2.01
1.49700
81.61
0.538

17*
98.730
16.81

18*
31.846
6.30
1.49700
81.61
0.538

19*
−77.563
2.03

20*
14.198
3.25
1.63490
23.88
0.630

21*
201.898
4.35

22*
−12.028
0.70
1.53368
55.90
0.563

23*
20.065
1.37

24*
34.840
0.70
1.53368
55.90
0.563

25*
16.829
1.23

26
∞
0.38
1.51640
65.06
0.535

27
∞
0.30

Image plane
∞

Aspherical surface data

1st surface

k = 0.000

A4 = −2.94380e−05

2nd surface

k = −32.935

A4 = 6.14622e−06

3rd surface

k = 0.000

A4 = −1.75346e−07

4th surface

k = 0.000

A4 = −4.72517e−05

5th surface

k = −0.524

A4 = −1.41649e−05

8th surface

k = −7.887

A4 = 1.22953e−05

16th surface

k = −0.579

A4 = 2.95007e−05

17th surface

k = 0.000

A4 = −2.68357e−05

18th surface

k = 0.000

A4 = 6.31745e−05

19th surface

k = 0.000

A4 = 1.15528e−04

20th surface

k = 0.000

A4 = 6.62069e−06

21th surface

k = 0.000

A4 = −5.81516e−05

22th surface

k = 0.000

A4 = 1.13853e−04

23th surface

k = 0.000

A4 = −1.70151e−04

24th surface

k = 0.000

A4 = −3.46508e−04

25th surface

k = 0.000

A4 = −8.40323e−05

Various data

NA
0.23

Magnification
−1.33

Focal length
11.95

Image height (mm)
4.92

fb (mm) (in air)
1.78

Lens total length (mm) (in air)
59.87

Example 22

Unit mm

Surface data

Surface

no.
r
d
nd
νd
θgf

1*
19.718
2.47
1.84666
23.77
0.620

2*
57.140
0.10

3
28.082
0.70
1.65412
39.68
0.574

4
15.535
0.71

5*
16.135
3.81
1.49700
81.61
0.538

6
−111.432
0.10

7
12.560
3.28
1.49700
81.61
0.538

8*
9264.110
0.10

9
23.767
2.95
1.61800
63.33
0.544

10
−17.820
0.70
1.72047
34.71
0.583

11
14.919
0.94

12 (Stop)
∞
−0.22

13
36.855
0.70
1.90366
31.32
0.595

14
6.199
2.19
1.61800
63.33
0.544

15
13.800
0.10

16*
7.064
3.86
1.49700
81.61
0.538

17*
−1661.525
5.38

18*
−7.343
0.70
1.49700
81.61
0.538

19*
26.316
2.07

20*
14.001
4.50
1.58364
30.30
0.599

21*
−8.579
3.08

22*
−9.265
0.70
1.49700
81.61
0.538

23*
10.893
2.23

24*
−15.074
1.42
1.53368
55.90
0.563

25*
−20.788
0.76

26
∞
0.38
1.51640
65.06
0.535

27
∞
0.30

Image
∞

plane

Aspherical surface data

1st surface

k = 0.000

A4 = 4.20748e−06

2nd surface

k = 0.000

A4 = 1.02174e−05

5th surface

k = 0.362

A4 = −1.39316e−06

8th surface

k = 0.000

A4 = 7.34221e−05

16th surface

k = −0.579

A4 = −1.11345e−04

17th surface

k = 0.000

A4 = −3.97260e−04

18th surface

k = 0.000

A4 = 3.14959e−04

19th surface

k = 0.000

A4 = 9.18979e−04

20th surface

k = 0.000

A4 = −3.01972e−04

21th surface

k = 0.000

A4 = 1.22286e−04

22th surface

k = 0.000

A4 = 3.61097e−10

23th surface

k = 0.000

A4 = −2.33784e−10

24th surface

k = 0.000

A4 = 7.88303e−11

25th surface

k = 0.000

A4 = −9.83303e−04, A6 = −4.80768e−06

Various data

NA
0.23

Magnification
−1.33

Focal length
9.09

Image height (mm)
4.92

fb (mm) (in air)
1.31

Lens total length (mm) (in air)
43.88

Example 23

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1
21.347
0.70
1.83400
37.16
0.577

2
19.857
2.68
1.84666
23.77
0.620

3
82.525
0.10

4
28.223
0.70
1.65412
39.68
0.574

5
13.598
0.10

6*
13.218
4.13
1.49700
81.61
0.538

7
−426.276
0.10

8
12.661
3.24
1.49700
81.61
0.538

9*
−620.123
0.10

10
23.276
3.03
1.61800
63.33
0.544

11
−15.973
0.70
1.72047
34.71
0.583

12
14.351
0.94

13 (Stop)
∞
−0.12

14
52.229
0.70
1.90366
31.32
0.595

15
6.517
2.05
1.61800
63.33
0.544

16
14.011
0.10

17*
7.279
3.70
1.49700
81.61
0.538

18*
−52.147
6.22

19*
−8.485
0.70
1.49700
81.61
0.538

20*
18.496
2.19

21*
16.238
3.38
1.58364
30.30
0.599

22*
−8.208
3.48

23*
−14.030
0.80
1.49700
81.61
0.538

24*
10.694
2.34

25*
−13.561
0.70
1.53368
55.90
0.563

26*
−32.525
1.56

27
∞
0.38
1.51640
65.06
0.535

28
∞
0.30

Image plane
∞

Aspherical surface data

6th surface

k = 0.102

A4 = −3.11348e−06

9th surface

k = 0.000

A4 = 7.09963e−05

17th surface

k = −0.579

A4 = −1.62833e−04

18th surface

k = 0.000

A4 = −2.59299e−04

19th surface

k = 0.000

A4 = 2.69659e−05

20th surface

k = 0.000

A4 = 5.59803e−04

21th surface

k = 0.000

A4 = −2.63419e−04

22th surface

k = 0.000

A4 = 1.85257e−04

23th surface

k = 0.000

A4 = 1.30466e−10

24th surface

k = 0.000

A4 = −4.02512e−11

25th surface

k = 0.000

A4 = 1.98197e−11

26th surface

k = 0.000

A4 = −7.91121e−04, A6 = −7.74500e−06

Various data

NA
0.23

Magnification
−1.33

Focal length
8.95

Image height (mm)
4.92

fb (mm) (in air)
2.12

Lens total length (mm) (in air)
44.87

Example 24

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
29.347
3.01
1.84666
23.77
0.620

2*
−36.004
0.10

3
−397.741
0.70
1.65412
39.68
0.574

4
21.124
0.10

5*
19.426
4.27
1.49700
81.61
0.538

6
−31.982
0.10

7
20.342
3.53
1.49700
81.61
0.538

8*
−22.961
0.10

9
−172.666
2.93
1.61800
63.33
0.544

10
−11.505
0.70
1.72047
34.71
0.583

11
24.226
0.79

12 (Stop)
∞
0.17

13
−243.374
0.70
1.90366
31.32
0.595

14
9.660
3.41
1.61800
63.33
0.544

15
−43.351
0.10

16*
11.180
4.50
1.49700
81.61
0.538

17*
−10186.757
8.48

18*
719.997
0.70
1.49700
81.61
0.538

19*
13.006
6.32

20*
13.192
3.44
1.58364
30.30
0.599

21*
−15.080
3.70

22*
−9.430
0.81
1.49700
81.61
0.538

23*
10.877
2.39

24*
−10.747
0.51
1.53368
55.90
0.563

25*
−3339.876
1.95

26
∞
0.38
1.51640
65.06
0.535

27
∞
0.30

Image plane
∞

Aspherical surface data

1st surface

k = 0.000

A4 = 1.00145e−05

2nd surface

k = 0.000

A4 = 4.66734e−05

5th surface

k = 0.699

A4 = 2.24508e−05

8th surface

k = 0.000

A4 = 8.05284e−05

16th surface

k = −0.579

A4 = 7.50799e−06

17th surface

k = 0.000

A4 = −8.03928e−05

18th surface

k = 0.000

A4 = −2.62042e−04

19th surface

k = 0.000

A4 = 2.02927e−08

20th surface

k = 0.000

A4 = 1.22996e−05

21th surface

k = 0.000

A4 = 1.31433e−04

22th surface

k = 0.000

A4 = 1.29005e−10

23th surface

k = 0.000

A4 = −8.96164e−11

24th surface

k = 0.000

A4 = 3.63415e−11

25th surface

k = 0.000

A4 = −8.06302e−04, A6 = −6.85664e−06

Various data

NA
0.38

Magnification
−2.20

Focal length
5.02

Image height (mm)
4.92

fb (mm) (in air)
2.50

Lens total length (mm) (in air)
54.08

Example 25

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
32.463
2.90
1.84666
23.77
0.620

2*
−21.826
0.10

3
−115.439
0.70
1.65412
39.68
0.574

4
19.615
0.71

5*
22.162
3.86
1.49700
81.61
0.538

6
−24.111
0.10

7
34.797
3.13
1.49700
81.61
0.538

8*
−16.663
0.10

9
−45.805
3.04
1.61800
63.33
0.544

10
−9.473
0.70
1.72047
34.71
0.583

11
97.538
0.68

12 (Stop)
∞
0.42

13
213.328
0.70
1.90366
31.32
0.595

14
9.662
3.29
1.61800
63.33
0.544

15
−95.685
0.10

16*
11.359
4.50
1.49700
81.61
0.538

17*
192.634
12.20

18*
−46.287
0.70
1.49700
81.61
0.538

19*
55.888
3.89

20*
15.242
3.43
1.58364
30.30
0.599

21*
−12.872
3.53

22*
−9.883
0.70
1.49700
81.61
0.538

23*
10.330
2.47

24*
−8.858
0.47
1.53368
55.90
0.563

25*
38.821
2.50

26
∞
0.30
1.51640
65.06
0.535

27
∞
0.30

Image plane
∞

Aspherical surface data

1st surface

k = 0.000

A4 = −8.60855e−06

2nd surface

k = 0.000

A4 = 5.67857e−05

5th surface

k = −0.732

A4 = 8.88649e−05

8th surface

k = 0.000

A4 = 9.71863e−05

16th surface

k = −0.579

A4 = 3.62332e−05

17th surface

k = 0.000

A4 = −4.68359e−05

18th surface

k = 0.000

A4 = −3.90596e−04

19th surface

k = 0.000

A4 = 5.65832e−09

20th surface

k = 0.000

A4 = 1.29627e−04

21th surface

k = 0.000

A4 = 2.61604e−04

22th surface

k = 0.000

A4 = 6.73337e−11

23th surface

k = 0.000

A4 = −2.85935e−10

24th surface

k = 0.000

A4 = −1.78374e−11

25th surface

k = 0.000

A4 = −1.17807e−03, A6 = −1.38777e−06

Various data

NA
0.43

Magnification
−2.55

Focal length
4.06

Image height (mm)
4.92

fb (mm) (in air)
3.00

Lens total length (mm) (in air)
55.41

Example 26

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
35.723
2.54
1.84666
23.77
0.620

2*
−51.097
0.10

3
36.176
0.71
1.65412
39.68
0.574

4
20.906
0.70

5*
23.037
3.88
1.49700
81.61
0.538

6
−48.688
0.10

7
28.972
4.09
1.49700
81.61
0.538

8*
−14.465
0.10

9
−30.479
2.71
1.61800
63.33
0.544

10
−11.008
0.70
1.72047
34.71
0.583

11
−45.001
0.00

12 (Stop)
∞
0.36

13
142.278
0.70
1.90366
31.32
0.595

14
7.974
3.29
1.61800
63.33
0.544

15
42.037
0.10

16*
9.420
4.50
1.49700
81.61
0.538

17*
50.449
11.08

18*
−10.686
0.70
1.49700
81.61
0.538

19*
14.658
2.13

20*
8.921
3.26
1.58364
30.30
0.599

21*
−11.441
2.20

22*
−6.836
0.70
1.49700
81.61
0.538

23*
17.063
2.85

24*
−7.530
1.89
1.53368
55.90
0.563

25*
−23.262
1.20

26
∞
0.30
1.51640
65.06
0.535

27
∞
0.31

Image plane
∞

Aspherical surface data

1st surface

k = 0.000

A4 = 2.15858e−05

2nd surface

k = 0.000

A4 = 5.89518e−05

5th surface

k = 1.031

A4 = 4.92091e−05

8th surface

k = 0.000

A4 = 1.43893e−04

16th surface

k = −0.579

A4 = 1.23991e−05

17th surface

k = 0.000

A4 = −1.44605e−04

18th surface

k = 0.000

A4 = −9.44986e−05

19th surface

k = 0.000

A4 = 2.20099e−08

20th surface

k = 0.000

A4 = −2.09970e−04

21th surface

k = 0.000

A4 = 1.31063e−04

22th surface

k = 0.000

A4 = −4.92137e−11

23th surface

k = 0.000

A4 = −3.04317e−10

24th surface

k = 0.000

A4 = −4.31877e−12

25th surface

k = 0.000

A4 = −1.03058e−03, A6 = −5.12548e−06

Various data

NA
0.40

Magnification
−2.55

Focal length
4.53

Image height (mm)
4.92

fb (mm) (in air)
1.71

Lens total length (mm) (in air)
51.12

Example 27

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
35.661
2.32
1.84666
23.77
0.620

2*
−73.499
0.43

3*
34.183
4.48
1.49700
81.61
0.538

4
−54.877
0.10

5
25.768
4.00
1.49700
81.61
0.538

6*
−15.284
0.10

7
−32.854
2.97
1.61800
63.33
0.544

8
−10.053
0.70
1.72047
34.71
0.583

9
−46.051
0.05

10 (Stop)
∞
0.47

11
635.573
0.70
1.90366
31.32
0.595

12
8.195
3.10
1.61800
63.33
0.544

13
42.918
0.10

14*
9.414
4.50
1.49700
81.61
0.538

15*
63.321
11.58

16*
−9.781
0.70
1.49700
81.61
0.538

17*
27.718
2.51

18*
9.851
3.31
1.58364
30.30
0.599

19*
−11.040
2.20

20*
−7.575
0.70
1.49700
81.61
0.538

21*
13.961
2.79

22*
−8.162
1.28
1.53368
55.90
0.563

23*
−48.156
1.52

24
∞
0.30
1.51640
65.06
0.535

25
∞
0.31

Image plane
∞

Aspherical surface data

1st surface

k = 0.000

A4 = 3.30814e−05

2nd surface

k = 0.000

A4 = 7.07042e−05

3rd surface

k = 7.049

A4 = 5.92848e−05

6th surface

k = 0.000

A4 = 1.66928e−04

14th surface

k = −0.579

A4 = 1.76892e−05

15th surface

k = 0.000

A4 = −1.15869e−04

16th surface

k = 0.000

A4 = −1.90405e−04

17th surface

k = 0.000

A4 = 4.29668e−08

18th surface

k = 0.000

A4 = −1.26564e−04

19th surface

k = 0.000

A4 = 2.29008e−04

20th surface

k = 0.000

A4 = −5.43091e−12

21th surface

k = 0.000

A4 = −1.28275e−10

22th surface

k = 0.000

A4 = −4.59881e−11

23th surface

k = 0.000

A4 = −1.00347e−03, A6 = −7.29887e−06

Various data

NA
0.40

Magnification
−2.55

Focal length
4.30

Image height (mm)
4.92

fb (mm) (in air)
2.02

Lens total length (mm) (in air)
51.12

Example 28

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
26.126
2.52
1.84666
23.77
0.620

2*
156.726
0.44

3*
19.398
3.22
1.49700
81.61
0.538

4
668.362
0.10

5
22.441
4.29
1.49700
81.61
0.538

6*
−18.521
0.10

7
−32.011
3.31
1.61800
63.33
0.544

8
−10.629
0.70
1.72047
34.71
0.583

9
−32.981
−0.18

10 (Stop)
∞
0.91

11
−54.468
0.70
1.90366
31.32
0.595

12
10.084
3.88
1.61800
63.33
0.544

13
−38.832
5.09

14*
11.830
4.50
1.49700
81.61
0.538

15*
32.748
6.33

16*
−51.536
0.70
1.49700
81.61
0.538

17*
−5076.695
1.50

18*
16.498
4.50
1.58364
30.30
0.599

19*
−18.479
2.95

20*
−13.897
0.70
1.49700
81.61
0.538

21*
14.288
2.43

22*
−9.910
0.50
1.53368
55.90
0.563

23*
19.020
1.20

24
∞
0.30
1.51640
65.06
0.535

25
∞
0.31

Image plane
∞

Aspherical surface data

1st surface

k = 0.000

A4 = 4.45476e−05

2nd surface

k = 0.000

A4 = 4.21609e−05

3rd surface

k = 1.630

A4 = −6.68631e−05

6th surface

k = 0.000

A4 = 1.02748e−04

14th surface

k = −0.579

A4 = −5.95923e−05

15th surface

k = 0.000

A4 = −1.92311e−04

16th surface

k = 0.000

A4 = −2.60712e−04

17th surface

k = 0.000

A4 = 3.61925e−09

18th surface

k = 0.000

A4 = 6.14546e−07

19th surface

k = 0.000

A4 = 8.97691e−05

20th surface

k = 0.000

A4 = 7.96105e−11

21th surface

k = 0.000

A4 = 1.79636e−10

22th surface

k = 0.000

A4 = 2.08521e−10

23th surface

k = 0.000

A4 = −7.36017e−04, A6 = 1.85128e−08

Various data

NA
0.40

Magnification
−1.60

Focal length
5.39

Image height (mm)
4.92

fb (mm) (in air)
1.71

Lens total length (mm) (in air)
50.89

Example 29

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
25.723
3.03
1.84666
23.77
0.620

2*
149.616
0.54

3*
19.523
3.74
1.49700
81.61
0.538

4
156.580
0.10

5
20.438
3.50
1.49700
81.61
0.538

6*
−18.183
0.15

7
−28.405
3.65
1.61800
63.33
0.544

8
−10.074
0.70
1.72047
34.71
0.583

9
−29.736
0.03

10 (Stop)
∞
0.98

11
−37.887
0.70
1.90366
31.32
0.595

12
10.973
3.19
1.61800
63.33
0.544

13
−29.734
5.20

14*
11.850
4.46
1.49700
81.61
0.538

15*
32.907
6.37

16*
−43.174
0.70
1.49700
81.61
0.538

17*
−583.895
1.39

18*
16.200
4.17
1.58364
30.30
0.599

19*
−16.507
2.96

20*
−13.189
0.70
1.49700
81.61
0.538

21*
14.167
2.41

22*
−9.282
0.50
1.53368
55.90
0.563

23*
18.028
1.20

24
∞
0.30
1.51640
65.06
0.535

25
∞
0.31

Image plane
∞

Aspherical surface data

1st surface

k = 0.000

A4 = 4.82416e−05

2nd surface

k = 0.000

A4 = 4.12737e−05

3rd surface

k = 1.920

A4 = −6.92724e−05

6th surface

k = 0.000

A4 = 1.06996e−04

14th surface

k = −0.579

A4 = −5.87534e−05

15th surface

k = 0.000

A4 = −1.97727e−04

16th surface

k = 0.000

A4 = −3.03525e−04

17th surface

k = 0.000

A4 = 2.27302e−08

18th surface

k = 0.000

A4 = 1.91296e−05

19th surface

k = 0.000

A4 = 1.02712e−04

20th surface

k = 0.000

A4 = 9.87048e−11

21th surface

k = 0.000

A4 = 9.22769e−11

22th surface

k = 0.000

A4 = 9.06991e−11

23th surface

k = 0.000

A4 = −8.67255e−04, A6 = 8.57757e−07

Various data

NA
0.31

Magnification
−1.56

Focal length
5.41

Image height (mm)
4.92

fb (mm) (in air)
1.70

Lens total length (mm) (in air)
50.87

Example 30

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
19.930
3.24
1.84666
23.77
0.620

2*
61.126
0.64

3*
20.022
2.36
1.49700
81.61
0.538

4
64.679
0.10

5
14.877
3.79
1.49700
81.61
0.538

6*
−20.728
0.44

7
−22.514
2.78
1.61800
63.33
0.544

8
−8.591
0.70
1.72047
34.71
0.583

9
−28.840
0.09

10 (Stop)
∞
0.69

11
−75.968
0.70
1.90366
31.32
0.595

12
10.025
3.17
1.61800
63.33
0.544

13
−47.134
7.43

14*
11.048
4.18
1.49700
81.61
0.538

15*
29.122
8.18

16*
16.083
3.74
1.58364
30.30
0.599

17*
−23.253
3.00

18*
−11.275
0.70
1.49700
81.61
0.538

19*
22.496
2.40

20*
−8.030
0.70
1.53368
55.90
0.563

21*
19.993
1.20

22
∞
0.30
1.51640
65.06
0.535

23
∞
0.31

Image plane
∞

Aspherical surface data

1st surface

k = 0.000

A4 = 5.96209e−05

2nd surface

k = 0.000

A4 = 4.52358e−05

3rd surface

k = 3.494

A4 = −1.04703e−04

6th surface

k = 0.000

A4 = 1.16629e−04

14th surface

k = −0.579

A4 = −1.22009e−05

15th surface

k = 0.000

A4 = 9.35253e−06

16th surface

k = 0.000

A4 = −4.21205e−05

17th surface

k = 0.000

A4 = 3.29945e−05

18th surface

k = 0.000

A4 = 2.14586e−04

19h surface

k = 0.000

A4 = 2.96805e−04

20th surface

k = 0.000

A4 = 8.17176e−05

21th surface

k = 0.000

A4 = −6.90519e−04, A6 = 7.86063e−07

Various data

NA
0.31

Magnification
−1.55

Focal length
5.52

Image height (mm)
4.92

fb (mm) (in air)
1.70

Lens total length (mm) (in air)
50.72

Example 31

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
22.255
1.40
1.84666
23.77
0.620

2*
49.454
0.10

3*
15.934
1.56
1.49700
81.61
0.538

4
49.074
0.10

5
8.678
2.60
1.49700
81.61
0.538

6*
24.865
0.10

7
16.464
2.59
1.62041
60.29
0.543

8
−16.180
0.71
1.72047
34.71
0.583

9
20.086
0.50

10 (Stop)
∞
−0.14

11
16.335
0.77
1.90366
31.32
0.595

12
4.955
2.54
1.62041
60.29
0.543

13
13.367
0.10

14*
8.375
3.54
1.49700
81.61
0.538

15*
12.841
5.26

16*
18.465
1.08
1.49700
81.61
0.538

17*
20.987
1.60

18*
17.258
3.54
1.58364
30.30
0.599

19*
−13.619
2.16

20*
−7.110
0.80
1.49700
81.61
0.538

21*
6.864
4.38

22*
38.244
1.35
1.53368
55.90
0.563

23*
40.675
1.79

24
∞
0.38
1.51640
65.06
0.535

25
∞
0.31

Image plane
∞

Aspherical surface data

1st surface

k = 0.000

A4 = 9.39832e−05

2nd surface

k = 0.000

A4 = 2.63124e−05

3rd surface

k = 1.034

A4 = −8.38701e−05

6th surface

k = 0.000

A4 = 2.34844e−04

14th surface

k = −0.579

A4 = −1.61090e−04

15th surface

k = 0.000

A4 = 9.62591e−05

16th surface

k = 0.000

A4 = −2.20378e−04

17th surface

k = 0.000

A4 = 1.44465e−04

18th surface

k = 0.000

A4 = 5.22295e−05

19th surface

k = 0.000

A4 = −1.67837e−04

20th surface

k = 0.000

A4 = 2.06606e−04

21th surface

k = 0.000

A4 = −1.79135e−04

22th surface

k = 0.000

A4 = −1.13764e−04

23th surface

k = 0.000

A4 = −6.19905e−04, A6 = −1.16506e−05

Various data

NA
0.20

Magnification
−2.00

Focal length
6.48

Image height (mm)
4.92

fb (mm) (in air)
2.35

Lens total length (mm) (in air)
38.99

Example 32

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
18.031
1.98
1.84666
23.77
0.620

2*
33.383
0.30

3*
14.122
2.63
1.49700
81.61
0.538

4
112.900
0.10

5
10.797
2.81
1.49700
81.61
0.538

6*
43.886
0.22

7
23.680
2.64
1.61800
63.33
0.544

8
−13.093
0.70
1.72047
34.71
0.583

9
24.412
0.49

10 (Stop)
∞
−0.33

11
21.319
0.72
1.90366
31.32
0.595

12
5.225
2.41
1.61800
63.33
0.544

13
10.578
0.10

14*
7.000
3.27
1.49700
81.61
0.538

15*
8.979
9.72

16*
11.132
4.18
1.58364
30.30
0.599

17*
−33.189
2.46

18*
−6.616
0.73
1.49700
81.61
0.538

19*
19.087
5.41

20*
−10.000
1.47
1.53368
55.90
0.563

21*
−8.861
2.27

22
∞
0.38
1.51640
65.06
0.535

23
∞
0.31

Image plane
∞

Aspherical surface data

1st surface

k = 0.000

A4 = 6.50944e−05

2nd surface

k = 0.000

A4 = 5.45929e−05

3rd surface

k = 0.635

A4 = −3.35884e−05

6th surface

k = 0.000

A4 = 1.78338e−04

14th surface

k = −0.579

A4 = −1.63080e−07

15th surface

k = 0.000

A4 = 7.02281e−08

16th surface

k = 0.000

A4 = −2.61423e−04

17th surface

k = 0.000

A4 = −6.18829e−04

18th surface

k = 0.000

A4 = 4.05381e−10

19th surface

k = 0.000

A4 = −6.67366e−10

20th surface

k = 0.000

A4 = 3.21970e−10

21th surface

k = 0.000

A4 = 2.90162e−04, A6 = −7.28026e−06

Various data

NA
0.23

Magnification
−2.00

Focal length
10.51

Image height (mm)
4.92

fb (mm) (in air)
2.83

Lens total length (mm) (in air)
44.85

Example 33

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
20.173
2.85
1.84666
23.77
0.620

2*
44.670
0.10

3
22.987
0.70
1.65412
39.68
0.574

4
13.553
0.10

5*
11.056
5.41
1.49700
81.61
0.538

6
−117.884
0.10

7
15.197
3.48
1.49700
81.61
0.538

8*
−137.586
0.10

9
40.695
3.13
1.61800
63.33
0.544

10
−15.237
0.70
1.72047
34.71
0.583

11
13.540
0.95

12 (Stop)
∞
−0.41

13
21.538
0.70
1.90366
31.32
0.595

14
6.309
2.36
1.61800
63.33
0.544

15
11.008
0.10

16*
6.948
3.38
1.49700
81.61
0.538

17*
−55.578
5.87

18*
−6.796
0.70
1.49700
81.61
0.538

19*
18.459
2.11

20*
7.634
3.91
1.58364
30.30
0.599

21*
−13.003
1.75

22*
−6.810
0.70
1.49700
81.61
0.538

23*
24.381
4.54

24
∞
0.38
1.51640
65.06
0.535

25
∞
0.30

Image plane
∞

Aspherical surface data

1st surface

k = 0.000

A4 = −5.73554e−06

2nd surface

k = 0.000

A4 = −9.15135e−06

5th surface

k = −0.393

A4 = −2.44007e−05

8th surface

k = 0.000

A4 = 6.95514e−05

16th surface

k = −0.579

A4 = −2.22085e−04

17th surface

k = 0.000

A4 = −4.21651e−04

18th surface

k = 0.000

A4 = −3.61868e−04

19th surface

k = 0.000

A4 = −7.75281e−04

20th surface

k = 0.000

A4 = −6.02773e−04

21th surface

k = 0.000

A4 = −6.83570e−05

22th surface

k = 0.000

A4 = 1.18563e−09

23th surface

k = 0.000

A4 = −1.14221e−09, A6 = −1.28369e−05

Various data

NA
0.23

Magnification
−1.33

Focal length
10.24

Image height (mm)
4.92

fb (mm) (in air)
5.09

Lens total length (mm) (in air)
43.88

Example 34

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1
30.333
3.43
1.84666
23.77
0.620

2*
−17.121
0.96

3*
−13.803
0.88
1.58364
30.30
0.599

4*
13.612
0.11

5*
11.200
3.75
1.49700
81.61
0.538

6
−27.595
0.10

7
15.356
3.57
1.49700
81.61
0.538

8*
−16.003
0.10

9
17.504
2.87
1.61800
63.33
0.544

10
−11.810
0.70
1.72047
34.71
0.583

11
8.524
0.97

12 (Stop)
∞
0.56

13
−53.831
0.70
1.72047
34.71
0.583

14
6.850
2.02
1.61800
63.33
0.544

15
23.795
2.48

16*
16.577
4.50
1.49700
81.61
0.538

17*
−46.561
1.38

18*
20.918
2.44
1.49700
81.61
0.538

19*
198.692
2.30

20*
15.525
2.93
1.63490
23.88
0.630

21*
−50.829
5.23

22*
−9.522
0.71
1.53368
55.90
0.563

23*
17.577
1.58

24*
−21.349
0.92
1.53368
55.90
0.563

25*
27.363
0.66

26
∞
0.38
1.51640
65.06
0.535

27
∞
0.30

Image plane
∞

Aspherical surface data

2nd surface

k = −3.179

3rd surface

k = 0.000

A4 = 7.36835e−05

4th surface

k = 0.000

A4 = −1.21732e−04

5th surface

k = −0.072

A4 = −1.81623e−04

8th surface

k = −6.612

A4 = 3.49560e−05

16th surface

k = −0.579

A4 = 1.35029e−04

17th surface

k = 0.000

A4 = 2.51766e−04

18th surface

k = 0.000

A4 = 2.91305e−04

19th surface

k = 0.000

A4 = 6.43367e−05

20th surface

k = −1.062

A4 = 1.69562e−04

21th surface

k = 0.000

A4 = 2.58930e−04

22th surface

k = 0.000

A4 = −4.19918e−04

23th surface

k = 0.000

A4 = −1.49907e−04

24th surface

k = 0.000

A4 = 1.57977e−04

25th surface

k = 0.000

A4 = −4.67783e−04

Various data

NA
0.23

Magnification
−1.33

Focal length
6.71

Image height (mm)
4.92

fb (mm) (in air)
1.21

Lens total length (mm) (in air)
46.39

Example 35

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1
31.851
3.46
1.84666
23.77
0.620

2*
−16.956
0.92

3*
−14.469
0.79
1.58364
30.30
0.599

4*
13.498
0.11

5*
11.902
3.99
1.49700
81.61
0.538

6
−24.185
0.10

7
15.502
3.62
1.49700
81.61
0.538

8*
−16.536
0.10

9
17.521
2.82
1.61800
63.33
0.544

10
−12.188
0.70
1.72047
34.71
0.583

11
8.905
1.29

12(Stop)
∞
0.87

13
−25.439
0.70
1.72047
34.71
0.583

14
7.636
2.05
1.61800
63.33
0.544

15
40.459
3.76

16*
12.506
4.08
1.49700
81.61
0.538

17*
−25.450
4.84

18*
16.621
2.91
1.63490
23.88
0.630

19*
−45.468
5.15

20*
−11.176
0.70
1.53368
55.90
0.563

21*
28.944
1.68

22*
−16.379
0.70
1.53368
55.90
0.563

23*
19.903
0.84

24
∞
0.38
1.51640
65.06
0.535

25
∞
0.30

Image plane
∞

Aspherical surface data

2nd surface

k = −3.154

3rd surface

k = 0.000

A4 = 4.19783e−05

4th surface

k = 0.000

A4 = −1.40144e−04

5th surface

k = 0.014

A4 = −1.86929e−04

8th surface

k = −4.445

A4 = 2.87986e−05

16th surface

k = −0.579

A4 = 8.24143e−06

17th surface

k = 0.000

A4 = 2.95157e−05

18th surface

k = −4.329

A4 = 1.98827e−04

19th surface

k = 0.000

A4 = 1.82474e−04

20th surface

k = 0.000

A4 = −5.85060e−05

21th surface

k = 0.000

A4 = 7.89211e−12

22th surface

k = 0.000

A4 = −1.93685e−04

23th surface

k = 0.000

A4 = −5.50486e−04

Various data

NA
0.23

Magnification
−1.33

Focal length
6.94

Image height(mm)
4.92

fb(mm) (in air)
1.39

Lens total length(mm) (in air)
46.76

Example 36

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1
36.714
3.44
1.84666
23.77
0.620

2*
−16.452
0.92

3*
−14.367
0.70
1.58364
30.30
0.599

4*
13.393
0.36

5*
12.942
3.94
1.49700
81.61
0.538

6
−22.078
0.10

7
13.900
3.96
1.49700
81.61
0.538

8*
−17.689
0.30

9
17.537
2.78
1.61800
63.33
0.544

10
−13.673
0.70
1.72047
34.71
0.583

11
9.167
1.30

12(Stop)
∞
0.93

13
−18.729
0.70
1.72047
34.71
0.583

14
7.839
2.04
1.61800
63.33
0.544

15
43.718
4.70

16*
11.769
4.45
1.49700
81.61
0.538

17*
−21.669
4.26

18*
14.851
2.87
1.63490
23.88
0.630

19*
−125.046
5.08

20*
−7.502
0.70
1.53368
55.90
0.563

21*
12.654
2.99

22
∞
0.38
1.51640
65.06
0.535

23
∞
0.30

Image plane
∞

Aspherical surface data

2nd surface

k = −2.632

3rd surface

k = 0.000

A4 = 2.85023e−05

4th surface

k = 0.000

A4 = −1.67992e−04

5th surface

k = −0.266

A4 = −1.93461e−04

8th surface

k = −4.885

A4 = −9.96312e−06

16th surface

k = −0.579

A4 = 1.15323e−05

17th surface

k = 0.000

A4 = 8.61252e−05

18th surface

k = −1.042

A4 = 5.95706e−05

19th surface

k = 0.000

A4 = 8.80359e−05

20th surface

k = 0.000

A4 = 4.18334e−04

21th surface

k = 0.000

A4 = −2.24974e−04

Various data

NA
0.23

Magnification
−1.33

Focal length
8.73

Image height(mm)
4.92

Fb(mm) (in air)
3.55

Lens total length(mm) (in air)
47.77

Example 37

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1
35.018
3.51
1.84666
23.77
0.620

2*
−16.160
0.79

3*
−14.606
0.70
1.58364
30.30
0.599

4*
12.706
0.30

5*
10.540
4.39
1.49700
81.61
0.538

6
−25.094
0.10

7
18.037
3.48
1.49700
81.61
0.538

8*
−15.488
0.30

9
17.578
2.82
1.61800
63.33
0.544

10
−11.708
0.71
1.72047
34.71
0.583

11
8.764
1.28

12(Stop)
∞
0.86

13
−50.664
1.06
1.72047
34.71
0.583

14
6.843
3.93
1.61800
63.33
0.544

15
22.209
3.20

16*
18.515
3.84
1.49700
81.61
0.538

17*
−19.905
0.36

18*
61.312
2.44
1.49700
81.61
0.538

19*
−138.576
1.98

20*
16.819
3.04
1.63490
23.88
0.630

21*
−44.496
5.21

22*
−6.697
0.83
1.53368
55.90
0.563

23*
12.737
1.65

24
91.429
0.70
1.53368
55.90
0.563

25
100.508
0.51

26
∞
0.38
1.51640
65.06
0.535

27
∞
0.30

Image plane
∞

Aspherical surface data

2nd surface

k = −3.277

3rd surface

k = 0.000

A4 = 8.48353e−05

4th surface

k = 0.000

A4 = −1.01898e−04

5th surface

k = −0.286

A4 = −1.38466e−04

8th surface

k = −5.555

A4 = 4.80018e−05

16th surface

k = −0.579

A4 = 1.25353e−04

17th surface

k = 0.000

A4 = 2.20448e−04

18th surface

k = 0.000

A4 = 3.34293e−04

19th surface

k = 0.000

A4 = 1.43266e−04

20th surface

k = −4.552

A4 = 2.56841e−04

21th surface

k = 0.000

A4 = 2.84837e−04

22th surface

k = 0.000

A4 = 2.73060e−04

23th surface

k = 0.000

A4 = −9.16648e−04

Various data

NA
0.23

Magnification
−1.33

Focal length
8.25

Image height(mm)
4.92

fb(mm) (in air)
1.06

Lens total length(mm) (in air)
48.56

Example 38

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1
49.656
3.69
1.84666
23.77
0.620

2*
−17.011
0.30

3*
−16.943
0.70
1.58364
30.30
0.599

4*
15.231
0.30

5*
12.554
5.18
1.49700
81.61
0.538

6
−22.778
0.10

7
19.262
4.38
1.49700
81.61
0.538

8*
−14.960
0.30

9
23.487
2.73
1.61800
63.33
0.544

10
−17.685
0.70
1.72047
34.71
0.583

11
9.522
1.44

12(Stop)
∞
0.85

13
−38.910
0.70
1.72047
34.71
0.583

14
6.507
2.02
1.61800
63.33
0.544

15
13.505
1.43

16*
14.532
8.57
1.49700
81.61
0.538

17*
57.509
0.41

18*
13.489
4.45
1.49700
81.61
0.538

19*
−401.830
1.74

20*
15.589
3.51
1.63490
23.88
0.630

21*
−58.753
4.86

22*
−7.832
1.58
1.53368
55.90
0.563

23*
15.936
2.94

24
∞
0.38
1.51640
65.06
0.535

25
∞
0.30

Image plane
∞

Aspherical surface data

2nd surface

k = −2.652

3rd surface

k = 0.000

A4 = −1.47660e−05

4th surface

k = 0.000

A4 = −1.00180e−04

5th surface

k = −0.298

A4 = −1.23946e−04

8th surface

k = −4.494

A4 = 1.28557e−05

16th surface

k = −0.579

A4 = 1.96708e−04

17th surface

k = 0.000

A4 = 1.64979e−04

18th surface

k = 0.000

A4 = 2.23578e−04

19th surface

k = 0.000

A4 = 1.34637e−04

20th surface

k = −3.507

A4 = 3.22843e−04

21th surface

k = 0.000

A4 = 3.61442e−04

22th surface

k = 0.000

A4 = −5.63782e−04

23th surface

k = 0.000

A4 = −1.15728e−03

Various data

NA
0.23

Magnification
−1.33

Focal length
9.31

Image height(mm)
4.92

fb(mm) (in air)
3.49

Lens total length(mm) (in air)
53.44

Example 39

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
15.101
3.29
1.49700
81.61
0.538

2*
−1411.511
0.81

3
−675.554
0.86
1.50220
54.74
0.551

4
13.373
1.32

5*
14.021
5.03
1.49700
81.61
0.538

6
−18.164
0.10

7
14.881
3.21
1.49700
81.61
0.538

8*
−54.750
0.32

9
50.000
3.52
1.61800
63.33
0.544

10
−18.151
1.71
1.72047
34.71
0.583

11
−3000.000
0.50

12(Stop)
∞
0.37

13
47.485
4.43
1.75500
52.32
0.547

14
−30.000
1.93
1.71775
32.36
0.593

15
6.109
3.62

16*
−7.419
4.50
1.49700
81.61
0.538

17*
−8.241
0.90

18*
12.630
4.46
1.80610
40.40
0.570

19*
−59.865
3.19

20*
−14.507
1.72
1.60614
32.96
0.598

21*
19.347
1.54

22
∞
0.38
1.51640
65.06
0.535

23
∞
0.31

Image plane
∞

Aspherical surface data

1st surface

k = 0.000

A4 = 6.55745e−05

2nd surface

k = 0.000

A4 = 1.15283e−04

5th surface

k = −0.990

A4 = 1.66321e−05

8th surface

k = 0.000

A4 = 1.25514e−04

16th surface

k = −0.579

A4 = −1.39447e−05

17th surface

k = 0.000

A4 = 6.26727e−05

18th surface

k = 0.000

A4 = −5.34476e−05

19th surface

k = 0.000

A4 = −7.96647e−05

20th surface

k = 0.000

A4 = 6.62595e−05

21th surface

k = 0.000

A4 = −6.63922e−05, A6 = −4.52844e−06

Various data

NA
0.23

Magnification
−1.30

Focal length
11.64

Image height(mm)
4.92

fb(mm) (in air)
2.10

Lens total length(mm) (in air)
47.88

Example 40

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
13.980
5.56
1.49700
81.61
0.538

2*
−20.000
0.90
1.51633
64.06
0.533

3*
13.407
1.32

4*
13.448
4.59
1.49700
81.61
0.538

5
−23.931
0.10

6
20.404
3.02
1.49700
81.61
0.538

7*
−54.118
0.30

8
15.790
4.48
1.61800
63.33
0.544

9
−19.586
0.70
1.72047
34.71
0.583

10
16.357
0.91

11(Stop)
∞
0.94

12
14.986
4.50
1.75500
52.32
0.547

13
−30.000
1.15
1.62588
35.70
0.589

14
5.558
3.03

15*
−7.759
4.50
1.49700
81.61
0.538

16*
−9.446
0.30

17*
14.699
4.50
1.80610
40.40
0.570

18*
−33.410
2.70

19*
−12.364
2.02
1.53368
55.90
0.563

20*
20.278
1.43

21
∞
0.38
1.51640
65.06
0.535

22
∞
0.31

Image plane
∞

Aspherical surface data

1st surface

k = 0.000

A4 = 7.72147e−06, A6 = −1.56655e−07

2nd surface

k = 0.000

A4 = 4.95212e−06

3rd surface

k = 0.000

A4 = 7.51990e−06

4th surface

k = −0.280

A4 = −4.12102e−05

7th surface

k = 0.000

A4 = 9.26104e−05

15th surface

k = −0.579

A4 = −1.80982e−05

16th surface

k = 0.000

A4 = 6.97386e−05

17th surface

k = 0.000

A4 = −8.07041e−05

18th surface

k = 0.000

A4 = −1.42087e−04

19th surface

k = 0.000

A4 = 1.27864e−04

20th surface

k = 0.000

A4 = −1.23475e−04, A6 = −7.64122e−06

Various data

NA
0.23

Magnification
−1.30

Focal length
11.19

Image height(mm)
4.92

fb(mm) (in air)
1.99

Lens total length(mm) (in air)
47.51

Example 41

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1
25.769
1.00
1.78800
47.37
0.556

2
18.855
2.85
1.84666
23.78
0.620

3
−40.476
5.37

4*
−12.747
0.60
1.58366
30.23
0.594

5*
11.476
0.10

6*
8.066
3.75
1.49700
81.61
0.538

7*
−8.996
0.10

8
24.048
2.60
1.61800
63.33
0.544

9
−8.000
1.00
1.72047
34.71
0.583

10
26.872
1.85

11(Stop)
∞
0.30

12
9.076
0.60
1.90366
31.32
0.595

13
5.849
1.82
1.53996
59.46
0.544

14
16.303
1.19

15
10.078
2.13
1.49700
81.61
0.538

16
27.029
0.10

17*
14.378
3.00
1.63491
23.81
0.624

18*
−11.061
0.10

19
30.935
1.06
1.49700
81.61
0.538

20
5.275
2.65

21
−8.961
3.00
1.75299
26.43
0.613

22
−10.149
5.48

23*
−7.320
0.60
1.63491
23.81
0.624

24*
17.259
1.08

25
∞
0.38
1.51641
65.06
0.535

26
∞
0.29

Image plane
∞

Aspherical surface data

4th surface

k = 0.000

A4 = −1.76429e−04, A6 = 6.30527e−07

5th surface

k = 0.000

A4 = −2.32457e−04, A6 = −6.86686e−07

6th surface

k = −1.081

A4 = −2.89278e−04, A6 = 1.34631e−06

7th surface

k = −0.300

A4 = 4.59425e−05, A6 = 1.49990e−06

17th surface

k = 0.000

A4 = −2.67915e−04, A6 = −3.04912e−06, A8 = −1.25579e−07

18th surface

k = 0.000

A4 = 3.85802e−04, A6 = −8.69760e−06, A8 = −2.98874e−08

23th surface

k = 0.000

A4 = 8.84524e−04, A6 = −1.13249e−05, A8 = 3.91153e−07

24th surface

k = 0.000

A4 = −6.21360e−04, A6 = 1.53368e−05, A8 = −3.89452e−07

Various data

NA
0.23

Magnification
−1.32

Focal length
5.34

Image height(mm)
4.75

fb(mm) (in air)
1.63

Lens total length(mm) (in air)
42.87

Example 42

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1
40.476
1.93
1.84666
23.78
0.620

2
−18.855
1.00
1.78800
47.37
0.556

3
−25.769
5.63

4*
−12.272
1.63
1.58366
30.23
0.594

5*
12.511
0.10

6*
8.053
3.59
1.49700
81.61
0.538

7*
−9.092
0.10

8
36.029
2.41
1.61800
63.33
0.544

9
−8.000
1.85
1.72047
34.71
0.583

10
127.453
0.79

11 (Stop)
∞
0.30

12
11.461
0.60
1.90366
31.32
0.595

13
5.817
1.60
1.53996
59.46
0.544

14
12.210
0.10

15
8.567
1.27
1.48749
70.23
0.530

16
13.023
0.57

17
12.975
1.75
1.49700
81.61
0.538

18
21.711
0.10

19*
13.032
3.00
1.63491
23.81
0.624

20*
−10.432
0.10

21
32.856
1.80
1.49700
81.61
0.538

22
5.469
3.30

23
−8.726
3.00
1.84666
23.78
0.618

24
−9.698
4.14

25*
−7.320
0.60
1.63491
23.81
0.624

26*
17.259
1.08

27
∞
0.38
1.51641
65.06
0.535

28
∞
0.30

Image plane
∞

Aspherical surface data

4th surface

k = 0.000

A4 = −2.20622e−04, A6 = 1.84877e−06

5th surface

k = 0.000

A4 = −2.39829e−04, A6 = 1.41106e−06

6th surface

k = −1.082

A4 = −2.94477e−04, A6 = 2.15880e−06

7th surface

k = −0.170

A4 = 9.04640e−05, A6 = 1.74380e−06

19th surface

k = 0.000

A4 = −1.93247e−04, A6 = −2.53963e−06, A8 = −5.80800e−08

20th surface

k = 0.000

A4 = 3.92431e−04, A6 = −6.94103e−06, A8 = 2.82007e−08

25th surface

k = 0.000

A4 = 8.84524e−04, A6 = −1.13249e−05, A8 = 3.91153e−07

26th surface

k = 0.000

A4 = −6.21360e−04, A6 = 1.53368e−05, A8 = −3.89452e−07

Various data

NA
0.23

Magnification
−1.32

Focal length
5.31

Image height (mm)
4.75

fb (mm) (in air)
1.63

Lens total length (mm) (in air)
42.87

Example 43

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1
32.668
3.43
1.84666
23.77
0.620

2*
−16.839
0.79

3*
−14.534
0.70
1.58364
30.30
0.599

4*
13.753
0.35

5*
13.429
3.98
1.49700
81.61
0.538

6
−19.967
0.10

7
15.031
3.74
1.49700
81.61
0.538

8*
−17.691
0.30

9
17.346
2.79
1.61800
63.33
0.544

10
−12.239
0.70
1.72047
34.71
0.583

11
9.694
1.03

12 (Stop)
∞
1.14

13
−19.591
0.70
1.72047
34.71
0.583

14
7.666
2.09
1.61800
63.33
0.544

15
39.824
5.19

16*
13.644
5.65
1.49700
81.61
0.538

17*
−18.626
3.78

18*
18.113
2.84
1.63490
23.88
0.630

19*
−72.883
4.98

20*
−17.228
0.70
1.53368
55.90
0.563

21*
19.172
1.78

22*
−13.391
0.84
1.53368
55.90
0.563

23*
32.664
0.80

24
∞
0.38
1.51640
65.06
0.535

25
∞
0.30

Image plane
∞

Aspherical surface data

2nd surface

k = −2.852

3rd surface

k = 0.000

A4 = 3.99545e−06

4th surface

k = 0.000

A4 = −1.80111e−04

5th surface

k = 0.023

A4 = −1.98268e−04

8th surface

k = −2.944

A4 = 1.69124e−05

16th surface

k = −0.579

A4 = −6.22198e−05

17th surface

k = 0.000

A4 = 1.32946e−05

18th surface

k = −1.194

A4 = 2.27221e−07

19th surface

k = 0.000

A4 = 5.73551e−06

20th surface

k = 0.000

A4 = 2.95534e−06

21th surface

k = 0.000

A4 = −1.18942e−06

22th surface

k = 0.000

A4 = 2.62449e−06

23th surface

k = 0.000

A4 = −2.59746e−06

Various data

NA
0.23

Magnification
−1.33

Focal length
7.78

Image height (mm)
4.92

fb (mm) (in air)
1.35

Lens total length (mm) (in air)
48.97

Example 44

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1
36.494
3.32
1.84666
23.77
0.620

2*
−16.015
0.72

3*
−14.579
0.71
1.58364
30.30
0.599

4*
16.856
0.41

5*
16.777
3.81
1.49700
81.61
0.538

6
−15.718
0.10

7
19.072
3.37
1.49700
81.61
0.538

8*
−17.469
0.30

9
17.675
2.70
1.61800
63.33
0.544

10
−12.437
0.70
1.72047
34.71
0.583

11
8.495
1.08

12 (Stop)
∞
0.82

13
−14.896
0.70
1.72047
34.71
0.583

14
10.195
1.80
1.61800
63.33
0.544

15
27.848
1.85

16*
15.325
5.04
1.49700
81.61
0.538

17*
−10.454
9.60

18*
13.414
2.88
1.63490
23.88
0.630

19*
990.845
4.74

20*
−11.800
0.70
1.53368
55.90
0.563

21*
51.656
1.21

22*
−22.343
0.70
1.53368
55.90
0.563

23*
18.755
1.20

24
∞
0.38
1.51640
65.06
0.535

25
∞
0.30

Image plane
∞

Aspherical surface data

2nd surface

k = −2.354

3rd surface

k = 0.000

A4 = −1.41730e−05

4th surface

k = 0.000

A4 = −1.08331e−04

5th surface

k = 0.711

A4 = −2.05079e−04

8th surface

k = −1.019

A4 = 6.63327e−06

16th surface

k = −0.579

A4 = −1.14177e−04

17th surface

k = 0.000

A4 = 3.77032e−05

18th surface

k = 0.662

A4 = −1.06116e−05

19th surface

k = 0.000

A4 = 1.38376e−05

20th surface

k = 0.000

A4 = 3.62602e−06

21th surface

k = 0.000

A4 = −2.19557e−06

22th surface

k = 0.000

A4 = 4.13364e−06

23th surface

k = 0.000

A4 = −2.84367e−06

Various data

NA
0.23

Magnification
−1.33

Focal length
7.87

Image height (mm)
4.92

fb (mm) (in air)
1.75

Lens total length (mm) (in air)
49.02

Example 45

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1
74.956
2.98
1.84666
23.77
0.620

2*
−14.732
0.57

3*
−12.899
0.70
1.58364
30.30
0.599

4*
43.976
0.34

5*
33.291
3.01
1.49700
81.61
0.538

6
−17.492
0.10

7
15.494
3.16
1.49700
81.61
0.538

8*
−22.742
0.30

9
16.979
2.57
1.61800
63.33
0.544

10
−17.660
0.70
1.72047
34.71
0.583

11
7.386
1.26

12 (Stop)
∞
0.85

13
−15.256
0.76
1.72047
34.71
0.583

14
17.797
1.70
1.61800
63.33
0.544

15
48.679
1.26

16*
14.757
3.95
1.49700
81.61
0.538

17*
−9.274
14.60

18*
12.062
2.80
1.63490
23.88
0.630

19*
97.824
2.82

20*
−17.861
0.70
1.53368
55.90
0.563

21*
237.695
1.46

22*
−11.342
0.70
1.53368
55.90
0.563

23*
17.018
1.20

24
∞
0.38
1.51640
65.06
0.535

25
∞
0.30

Image plane
∞

Aspherical surface data

2nd surface

k = −2.161

3rd surface

k = 0.000

A4 = 1.48176e−04

4th surface

k = 0.000

A4 = 2.73952e−05

5th surface

k = 10.865

A4 = −1.41264e−04

8th surface

k = −1.121

A4 = 5.97656e−05

16th surface

k = −0.579

A4 = −1.45146e−04

17th surface

k = 0.000

A4 = 5.53442e−05

18th surface

k = 0.704

A4 = −1.23220e−05

19th surface

k = 0.000

A4 = 4.74431e−06

20th surface

k = 0.000

A4 = 1.29150e−06

21th surface

k = 0.000

A4 = 1.11008e−06

22th surface

k = 0.000

A4 = 2.59060e−06

23th surface

k = 0.000

A4 = −1.53883e−06

Various data

NA
0.23

Magnification
−1.33

Focal length
7.55

Image height (mm)
4.92

fb (mm) (in air)
1.75

Lens total length (mm) (in air)
49.05

Example 46

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1
71.023
2.80
1.84666
23.77
0.620

2*
−14.922
0.95

3*
−12.661
0.70
1.58364
30.30
0.599

4*
52.837
0.32

5*
34.772
2.72
1.49700
81.61
0.538

6
−16.453
0.10

7
17.240
2.71
1.49700
81.61
0.538

8*
−21.457
0.30

9
17.407
2.53
1.61800
63.33
0.544

10
−17.609
0.70
1.72047
34.71
0.583

11
7.015
1.23

12 (Stop)
∞
0.75

13
−16.751
0.77
1.72047
34.71
0.583

14
18.568
1.71
1.61800
63.33
0.544

15
54.564
1.28

16*
16.776
3.75
1.49700
81.61
0.538

17*
−8.639
15.60

18*
12.605
2.73
1.63490
23.88
0.630

19*
175.251
2.76

20*
−17.864
0.70
1.53368
55.90
0.563

21*
246.294
1.46

22*
−11.062
0.70
1.53368
55.90
0.563

23*
16.891
1.20

24
∞
0.38
1.51640
65.06
0.535

25
∞
0.30

Image plane
∞

Aspherical surface data

2nd surface

k = −2.471

3rd surface

k = 0.000

A4 = 1.72263e−04

4th surface

k = 0.000

A4 = 3.64682e−05

5th surface

k = 13.812

A4 = −1.65670e−04

8th surface

k = −1.177

A4 = 8.11125e−05

16th surface

k = −0.579

A4 = −1.27084e−04

17th surface

k = 0.000

A4 = 4.62229e−05

18th surface

k = 0.914

A4 = −7.54532e−06

19th surface

k = 0.000

A4 = 1.97223e−06

20th surface

k = 0.000

A4 = 4.00526e−07

21th surface

k = 0.000

A4 = 8.92606e−07

22th surface

k = 0.000

A4 = 5.45128e−07

23th surface

k = 0.000

A4 = −3.69544e−07

Various data

NA
0.20

Magnification
−1.33

Focal length
7.55

Image height (mm)
4.92

fb (mm) (in air)
1.75

Lens total length (mm) (in air)
49.05

Example 47

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1
53.186
3.31
1.84666
23.77
0.620

2*
−15.475
0.51

3*
−15.703
0.70
1.58364
30.30
0.599

4*
13.712
0.34

5*
13.464
4.14
1.49700
81.61
0.538

6
−19.181
0.10

7
17.400
3.90
1.49700
81.61
0.538

8*
−17.175
0.30

9
17.131
2.69
1.61800
63.33
0.544

10
−20.225
0.70
1.72047
34.71
0.583

11
9.630
1.97

12 (Stop)
∞
2.03

13
−26.870
0.70
1.72047
34.71
0.583

14
7.211
2.12
1.61800
63.33
0.544

15
28.975
4.80

16*
14.848
5.21
1.49700
81.61
0.538

17*
−15.080
3.09

18*
17.473
2.77
1.63490
23.88
0.630

19*
−177.281
4.94

20*
−18.091
0.70
1.53368
55.90
0.563

21*
24.560
1.58

22*
−15.011
0.70
1.53368
55.90
0.563

23*
19.931
1.20

24
∞
0.38
1.51640
65.06
0.535

25
∞
0.30

Image plane
∞

Aspherical surface data

2nd surface

k = −2.086

3rd surface

k = 0.000

A4 = −2.15591e−05

4th surface

k = 0.000

A4 = −1.47223e−04

5th surface

k = −0.289

A4 = −1.86447e−04

8th surface

k = −1.390

A4 = 1.40344e−06

16th surface

k = −0.579

A4 = −6.47710e−05

17th surface

k = 0.000

A4 = 1.29548e−05

18th surface

k = −0.598

A4 = −1.56300e−06

19th surface

k = 0.000

A4 = −1.87807e−06

20th surface

k = 0.000

A4 = 2.90468e−06

21th surface

k = 0.000

A4 = −2.72835e−06

22th surface

k = 0.000

A4 = 2.59014e−06

23th surface

k = 0.000

A4 = −3.73844e−06

Various data

NA
0.23

Magnification
−1.33

Focal length
8.00

Image height (mm)
4.92

fb (mm) (in air)
1.75

Lens total length (mm) (in air)
49.07

Example 48

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1
−39350.564
2.80
1.84666
23.77
0.620

2*
−15.096
0.36

3*
−15.047
0.70
1.58364
30.30
0.599

4*
15.659
0.30

5*
14.778
3.69
1.49700
81.61
0.538

6
−22.190
0.10

7
19.531
4.09
1.49700
81.61
0.538

8*
−14.652
0.30

9
17.123
2.28
1.61800
63.33
0.544

10
199.434
0.70
1.72047
34.71
0.583

11
10.381
4.19

12 (Stop)
∞
4.31

13
−76.959
0.70
1.72047
34.71
0.583

14
8.399
2.01
1.61800
63.33
0.544

15
22.390
3.54

16*
14.258
3.78
1.49700
81.61
0.538

17*
−14.525
2.72

18*
14.720
2.59
1.63490
23.88
0.630

19*
53.371
4.84

20*
−13.285
0.70
1.53368
55.90
0.563

21*
25.319
1.55

22*
−14.684
0.89
1.53368
55.90
0.563

23*
31.963
1.20

24
∞
0.38
1.51640
65.06
0.535

25
∞
0.30

Image plane
∞

Aspherical surface data

2nd surface

k = −0.684

3rd surface

k = 0.000

A4 = −8.51383e−05

4th surface

k = 0.000

A4 = −1.17461e−04

5th surface

k = −0.882

A4 = −1.49470e−04

8th surface

k = −0.931

A4 = 1.39588e−05

16th surface

k = −0.579

A4 = −3.93181e−05

17th surface

k = 0.000

A4 = 3.73980e−05

18th surface

k = 0.481

A4 = 9.25556e−07

19th surface

k = 0.000

A4 = −2.64171e−06

20th surface

k = 0.000

A4 = 4.07916e−06

21th surface

k = 0.000

A4 = −5.47250e−06

22th surface

k = 0.000

A4 = 4.16590e−06

23th surface

k = 0.000

A4 = −6.37036e−06

Various data

NA
0.20

Magnification
−1.33

Focal length
7.74

Image height (mm)
4.92

fb (mm) (in air)
1.75

Lens total length (mm) (in air)
48.87

Example 49

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1
−759.356
2.69
1.84666
23.77
0.620

2*
−16.189
0.67

3*
−15.594
0.70
1.58364
30.30
0.599

4*
13.189
0.30

5*
12.715
3.60
1.49700
81.61
0.538

6
−30.208
0.10

7
18.195
4.42
1.49700
81.61
0.538

8*
−14.458
0.30

9
23.874
1.96
1.61800
63.33
0.544

10
58.560
0.70
1.72047
34.71
0.583

11
13.172
5.42

12(stop)
∞
5.58

13
224.670
0.70
1.72047
34.71
0.583

14
9.058
2.04
1.61800
63.33
0.544

15
19.643
0.90

16*
9.888
3.32
1.49700
81.61
0.538

17*
−27.891
2.58

18*
9.778
2.40
1.63490
23.88
0.630

19*
18.665
4.60

20*
−8.157
0.70
1.53368
55.90
0.563

21*
2626.112
1.31

22*
−9.615
2.09
1.53368
55.90
0.563

23*
−515.428
1.20

24
∞
0.38
1.51640
65.06
0.535

25
∞
0.30

Image plane
∞

Aspherical surface data

2nd surface

k = −0.608

3rd surface

k = 0.000

A4 = −9.35581e−05

4th surface

k = 0.000

A4 = −1.70494e−04

5th surface

k = −1.128

A4 = −1.69703e−04

8th surface

k = −1.027

A4 = 9.58875e−06

16th surface

k = −0.579

A4 = 8.05044e−05

17th surface

k = 0.000

A4 = 9.03489e−05

18th surface

k = −0.016

A4 = 3.31417e−06

19th surface

k = 0.000

A4 = −2.16071e−06

20th surface

k = 0.000

A4 = 2.33119e−06

21th surface

k = 0.000

A4 = −5.11799e−06

22th surface

k = 0.000

A4 = 2.87005e−06

23th surface

k = 0.000

A4 = −7.50459e−06

Various data

NA
0.20

Magnification
−1.33

Focal length
7.45

Image height(mm)
4.92

fb(mm) (in air)
1.76

Lens total length(mm) (in air)
48.85

Example 50

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
52.649
2.73
1.84666
23.77
0.620

2*
−38.622
2.79

3
−19.976
2.81
1.65412
39.68
0.574

4
30.338
0.20

5*
20.044
4.31
1.49700
81.61
0.538

6
−18.337
0.10

7
10.677
4.30
1.49700
81.61
0.538

8*
161.939
0.12

9
24.169
3.23
1.61800
63.33
0.544

10
−32.541
0.71
1.72047
34.71
0.583

11
12.119
0.91

12(Stop)
∞
0.15

13
49.063
0.77
1.90366
31.32
0.595

14
7.771
1.92
1.61800
63.33
0.544

15
10.588
0.20

16*
6.409
4.13
1.49700
81.61
0.538

17*
−23.504
1.62

18*
−223.234
0.71
1.49700
81.61
0.538

19*
6.065
7.57

20*
20.127
3.49
1.58364
30.30
0.599

21*
−9.164
2.84

22*
−13.178
0.79
1.53368
55.90
0.563

23*
11.671
9.70

24
∞
0.38
1.51640
65.06
0.535

25
∞
0.30

Image plane
∞

Aspherical surface data

1st surface

k = 0.000

A4 = 5.94361e−05

2nd surface

k = 0.000

A4 = 5.27712e−05

5th surface

k = −0.816

A4 = −7.30838e−06

8th surface

k = 0.000

A4 = 1.01191e−04

16th surface

k = −0.579

A4 = −6.69835e−05

17th surface

k = 0.000

A4 = −5.31017e−05

18th surface

k = 0.000

A4 = −5.11715e−04

19th surface

k = 0.000

A4 = −4.64797e−04

20th surface

k = 0.000

A4 = −2.92520e−04

21th surface

k = 0.000

A4 = 1.24424e−04

22th surface

k = 0.000

A4 = 9.16605e−05

23th surface

k = 0.000

A4 = −5.17129e−04, A6 = −2.60414e−06

Various data

NA
0.17

Magnification
−1.40

Focal length
14.81

Image height(mm)
4.92

fb(mm) (in air)
10.25

Lens total length(mm) (in air)
56.63

Example 51

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
48.290
4.00
1.84666
23.77
0.620

2*
−46.881
2.58

3
−22.804
1.76
1.65412
39.68
0.574

4
27.062
0.14

5*
18.619
5.28
1.49700
81.61
0.538

6
−19.533
0.10

7
10.604
4.45
1.49700
81.61
0.538

8*
131.823
0.10

9
23.442
3.28
1.61800
63.33
0.544

10
−31.030
0.70
1.72047
34.71
0.583

11
11.383
1.20

12(Stop)
∞
−0.09

13
36.337
0.70
1.90366
31.32
0.595

14
7.635
2.06
1.61800
63.33
0.544

15
10.913
0.10

16*
6.511
4.50
1.49700
81.61
0.538

17*
−24.120
1.67

18*
−46.412
0.73
1.49700
81.61
0.538

19*
6.211
4.33

20*
16.578
3.80
1.58364
30.30
0.599

21*
−8.549
2.73

22*
−9.091
0.70
1.53368
55.90
0.563

23*
18.805
10.20

24
∞
0.38
1.51640
65.06
0.535

25
∞
0.30

Image plane
∞

Aspherical surface data

1st surface

k = 0.000

A4 = 5.83731e−05

2nd surface

k = 0.000

A4 = 5.27684e−05

5th surface

k = −0.912

A4 = −8.58617e−06

8th surface

k = 0.000

A4 = 1.02848e−04

16th surface

k = −0.579

A4 = −3.17468e−05

17th surface

k = 0.000

A4 = −1.40882e−04

18th surface

k = 0.000

A4 = −7.46576e−04

19th surface

k = 0.000

A4 = −6.42486e−04

20th surface

k = 0.000

A4 = −2.69039e−04

21th surface

k = 0.000

A4 = 1.54596e−04

22th surface

k = 0.000

A4 = 1.25420e−04

23th surface

k = 0.000

A4 = −5.64464e−04, A6 = −5.63513e−07

Various data

NA
0.20

Magnification
−1.33

Focal length
14.41

Image height(mm)
4.92

fb(mm) (in air)
10.75

Lens total length(mm) (in air)
55.55

Example 52

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
51.478
3.20
1.84666
23.77
0.620

2*
−38.560
2.65

3
−19.565
3.38
1.65412
39.68
0.574

4
30.186
0.21

5*
19.873
4.50
1.49700
81.61
0.538

6
−18.633
0.10

7
10.628
4.21
1.49700
81.61
0.538

8*
212.692
0.10

9
24.897
3.19
1.61800
63.33
0.544

10
−30.693
0.70
1.72047
34.71
0.583

11
12.401
0.90

12(stop)
∞
0.10

13
55.667
0.70
1.90366
31.32
0.595

14
7.805
1.84
1.61800
63.33
0.544

15
10.579
0.30

16*
6.428
4.02
1.49700
81.61
0.538

17*
−23.103
1.57

18*
−110.480
0.70
1.49700
81.61
0.538

19*
6.147
6.35

20*
17.957
3.44
1.58364
30.30
0.599

21*
−9.569
2.94

22*
−11.357
0.70
1.53368
55.90
0.563

23*
14.587
11.70

24
∞
0.38
1.51640
65.06
0.535

25
∞
0.30

Image plane
∞

Aspherical surface data

1st surface

k = 0.000

A4 = 6.61716e−05

2nd surface

k = 0.000

A4 = 5.97222e−05

5th surface

k = −0.834

A4 = −2.83924e−06

8th surface

k = 0.000

A4 = 1.05701e−04

16th surface

k = −0.579

A4 = −6.90189e−05

17th surface

k = 0.000

A4 = −5.47808e−05

18th surface

k = 0.000

A4 = −4.86035e−04

19th surface

k = 0.000

A4 = −5.42665e−04

20th surface

k = 0.000

A4 = −3.04526e−04

21th surface

k = 0.000

A4 = 2.66622e−05

22th surface

k = 0.000

A4 = −2.09838e−04

23th surface

k = 0.000

A4 = −6.85269e−04, A6 = −2.12762e−06

Various data

NA
0.17

Magnification
−1.40

Focal length
15.30

Image height(mm)
4.92

fb(mm) (in air)
12.25

Lens total length(mm) (in air)
58.05

Example 53

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
70.275
2.70
1.84666
23.77
0.620

2*
−30.659
2.30

3
−17.537
2.26
1.65412
39.68
0.574

4
35.866
0.35

5*
27.673
3.95
1.49700
81.61
0.538

6
−17.104
0.10

7
9.747
3.94
1.49700
81.61
0.538

8*
162.593
0.10

9
24.099
3.09
1.61800
63.33
0.544

10
−26.964
0.70
1.72047
34.71
0.583

11
12.683
0.88

12(Stop)
∞
0.07

13
64.816
0.70
1.90366
31.32
0.595

14
7.829
1.84
1.61800
63.33
0.544

15
10.768
0.10

16*
6.611
3.23
1.49700
81.61
0.538

17*
−21.476
1.33

18*
−267.827
0.70
1.49700
81.61
0.538

19*
6.489
6.45

20*
23.224
3.31
1.58364
30.30
0.599

21*
−9.742
3.29

22*
−7.668
0.70
1.53368
55.90
0.563

23*
185.012
13.20

24
∞
0.38
1.51640
65.06
0.535

25
∞
0.30

Image plane
∞

Aspherical surface data

1st surface

k = 0.000

A4 = 9.37043e−05

2nd surface

k = 0.000

A4 = 8.05222e−05

5th surface

k = 0.415

A4 = 9.29789e−06

8th surface

k = 0.000

A4 = 1.46231e−04

16th surface

k = −0.579

A4 = −1.60507e−04

17th surface

k = 0.000

A4 = 1.24501e−04

18th surface

k = 0.000

A4 = −1.08756e−04

19th surface

k = 0.000

A4 = −6.99654e−04

20th surface

k = 0.000

A4 = −3.08028e−04

21th surface

k = 0.000

A4 = −1.14935e−04

22th surface

k = 0.000

A4 = −6.53850e−04

23th surface

k = 0.000

A4 = −9.34773e−04, A6 = 6.44915e−07

Various data

NA
0.17

Magnification
−1.40

Focal length
15.97

Image height(mm)
4.92

fb(mm) (in air)
13.75

Lens total length(mm) (in air)
55.83

Example 54

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
51.478
3.20
1.84666
23.77
0.620

2*
−38.560
2.65

3
−19.565
3.38
1.65412
39.68
0.574

4
30.186
0.21

5*
19.873
4.50
1.49700
81.61
0.538

6
−18.633
0.10

7
10.628
4.21
1.49700
81.61
0.538

8*
212.692
0.10

9
24.897
3.19
1.61800
63.33
0.544

10
−30.693
0.70
1.72047
34.71
0.583

11
12.401
0.90

12(Stop)
∞
0.10

13
55.667
0.70
1.90366
31.32
0.595

14
7.805
1.84
1.61800
63.33
0.544

15
10.579
0.30

16*
6.428
4.02
1.49700
81.61
0.538

17*
−23.103
1.57

18*
−110.480
0.70
1.49700
81.61
0.538

19*
6.147
6.35

20*
17.957
3.44
1.58364
30.30
0.599

21*
−9.569
2.94

22*
−11.357
0.70
1.53368
55.90
0.563

23*
14.587
11.70

24
∞
0.38
1.51640
65.06
0.535

25
∞
0.30

Image plane
∞

Aspherical surface data

1st surface

k = 0.000

A4 = 6.61716e−05

2nd surface

k = 0.000

A4 = 5.97222e−05

5th surface

k = −0.834

A4 = −2.83924e−06

8th surface

k = 0.000

A4 = 1.05701e−04

16th surface

k = −0.579

A4 = −6.90189e−05

17th surface

k = 0.000

A4 = −5.47808e−05

18th surface

k = 0.000

A4 = −4.86035e−04

19th surface

k = 0.000

A4 = −5.42665e−04

20th surface

k = 0.000

A4 = −3.04526e−04

21th surface

k = 0.000

A4 = 2.66622e−05

22th surface

k = 0.000

A4 = −2.09838e−04

23th surface

k = 0.000

A4 = −6.85269e−04, A6 = −2.12762e−06

Various data

NA
0.17

Magnification
−1.40

Focal length
15.30

Image height(mm)
4.92

fb(mm) (in air)
12.25

Lens total length(mm) (in air)
58.05

Example 55

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
25.913
2.07
1.84666
23.77
0.620

2*
31.151
0.30

3*
17.097
6.09
1.49700
81.61
0.538

4
−111.014
0.10

5
16.382
3.66
1.49700
81.61
0.538

6*
76.965
0.10

7
12.471
5.23
1.61800
63.33
0.544

8
−19.985
0.70
1.72047
34.71
0.583

9
10.437
1.53

10(Stop)
∞
−0.40

11
15.326
0.70
1.90366
31.32
0.595

12
5.760
2.24
1.61800
63.33
0.544

13
7.466
0.10

14*
5.529
3.20
1.49700
81.61
0.538

15
−250.000
0.93

16*
−31.020
1.06
1.49700
81.61
0.538

17*
6.332
2.81

18*
13.296
4.02
1.58364
30.30
0.599

19*
−8.640
0.80

20*
−7.506
4.48
1.53368
55.90
0.563

21*
−8.795
0.39

22
−11.302
2.00
1.53368
55.90
0.563

23*
23.373
2.15

24
∞
0.38
1.51640
65.06
0.535

25
∞
0.31

Image plane
∞

Aspherical surface data

1st surface

k = 0.000

A4 = 9.25518e−06

2nd surface

k = 0.000

A4 = 8.47403e−06

3rd surface

k = −0.200

A4 = 2.89370e−06

6th surface

k = 0.000

A4 = 6.07603e−05

14th surface

k = −0.579

A4 = 2.14569e−05, A6 = 8.56596e−07

16th surface

k = 0.000

A4 = −1.21434e−05

17th surface

k = 0.000

A4 = 1.82906e−06

18th surface

k = 0.000

A4 = −5.24617e−05

19th surface

k = 0.000

A4 = −1.13335e−06

20th surface

k = 0.000

A4 = 1.01208e−05

21th surface

k = 0.000

A4 = −2.49639e−05

23th surface

k = 0.000

A4 = −2.94354e−05, A6 = −6.86427e−06

Various data

NA
0.23

Magnification
−1.10

Focal length
12.36

Image height(mm)
4.92

fb(mm) (in air)
2.72

Lens total length(mm) (in air)
44.83

Example 56

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1
22.916
1.51
1.60999
27.48
0.620

2
44.302
0.00
1001.00000
−3.45
0.296

3
44.303
0.20
1.63762
34.21
0.594

4
44.214
0.75

5*
11.892
4.50
1.49700
81.61
0.538

6
−75.023
0.10

7
16.979
2.78
1.49700
81.61
0.538

8*
35.199
0.71

9
19.063
2.75
1.61800
63.33
0.544

10
−18.581
0.77
1.72047
34.71
0.583

11
33.626
1.26

12(Stop)
∞
0.30

13
29.197
0.83
1.90366
31.32
0.595

14
5.383
1.47
1.61800
63.33
0.544

15
9.288
0.91

16*
6.872
3.01
1.49700
81.61
0.538

17*
12.602
1.91

18*
−9.053
3.06
1.49700
81.61
0.538

19*
−10.553
0.91

20*
12.072
3.90
1.58364
30.30
0.599

21*
−24.825
1.94

22*
−19.526
1.01
1.49700
81.61
0.538

23*
11.127
7.48

24*
−59.537
1.12
1.53368
55.90
0.563

25*
19.034
1.10

26
∞
0.38
1.51640
65.06
0.535

27
∞
0.41

Image plane
∞

Aspherical surface data

5th surface

k = −0.513

A4 = −1.39397e−05

8th surface

k = 0.000

A4 = 7.69283e−05

16th surface

k = −0.579

A4 = −1.27245e−04

17th surface

k = 0.000

A4 = −2.00147e−04

18th surface

k = 0.000

A4 = −1.96482e−04

19th surface

k = 0.000

A4 = −5.46173e−07

20th surface

k = 0.000

A4 = −4.97701e−05

21th surface

k = 0.000

A4 = 5.00869e−05

22th surface

k = 0.000

A4 = −1.31586e−04

23th surface

k = 0.000

A4 = −1.81687e−04

24th surface

k = 0.000

A4 = −3.30547e−04

25th surface

k = 0.000

A4 = −3.69284e−04, A6 = −2.84789e−06

Various data

NA
0.20

Magnification
−1.56

Focal length
7.72

Image height(mm)
4.92

fb(mm) (in air)
1.76

Lens total length(mm) (in air)
44.95

Example 57

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
14.849
2.81
1.84666
23.77
0.620

2*
24.251
1.16

3*
11.029
2.65
1.49700
81.61
0.538

4
−159.692
0.10

5
24.766
1.11
1.60999
27.48
0.620

6
25.004
0.00
1001.00000
−3.45
0.296

7
25.005
0.20
1.63762
34.21
0.594

8
24.343
0.11

9
16.634
2.86
1.61800
63.33
0.544

10
−14.550
0.72
1.72047
34.71
0.583

11
28.345
0.47

12(Stop)
∞
−0.05

13
28.631
0.72
1.90366
31.32
0.595

14
6.286
1.64
1.61800
63.33
0.544

15
14.078
5.35

16*
7.582
3.02
1.49700
81.61
0.538

17*
14.928
8.00

18*
15.671
3.78
1.58364
30.30
0.599

19*
−20.144
1.79

20*
−10.482
0.70
1.49700
81.61
0.538

21*
8.846
3.50

22*
13.317
2.28
1.53368
55.90
0.563

23*
9.855
2.70

24
∞
0.38
1.51640
65.06
0.535

25
∞
0.30

Image plane
∞

Aspherical surface data

1st surface

k = 0.000

A4 = 1.89575e−05

2nd surface

k = 0.000

A4 = 2.05342e−05

3rd surface

k = −1.001

A4 = −2.79051e−05

16th surface

k = −0.579

A4 = −9.97074e−05

17th surface

k = 0.000

A4 = 4.56155e−05

18th surface

k = 0.000

A4 = −1.55616e−04

19th surface

k = 0.000

A4 = −9.53455e−05

20th surface

k = 0.000

A4 = 6.03104e−05

21th surface

k = 0.000

A4 = 5.76196e−05

22th surface

k = 0.000

A4 = 5.52326e−05

23th surface

k = 0.000

A4 = −1.67453e−04, A6 = −3.57134e−06

Various data

NA
0.20

Magnification
−1.60

Focal length
8.33

Image height(mm)
4.92

fb(mm) (in air)
3.25

Lens total length(mm) (in air)
46.16

Example 58

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
23.262
3.28
1.84666
23.77
0.620

2*
191.812
1.33

3
53.883
0.50
1.62588
35.70
0.589

4
14.902
0.14

5*
13.978
5.96
1.49700
81.61
0.538

6
−29.978
0.10

7
15.765
3.37
1.49700
81.61
0.538

8*
510.224
0.10

9
32.798
3.12
1.61800
63.33
0.544

10
−19.809
0.50
1.72047
34.71
0.583

11
12.325
1.78

12(Stop)
∞
0.78

13
−140.812
0.50
1.90366
31.32
0.595

14
9.869
2.61
1.61800
63.33
0.544

15
113.862
2.42

16*
11.277
3.74
1.49700
81.61
0.538

17*
−59.524
8.10

18*
−3485.657
0.70
1.49700
81.61
0.538

19*
9.598
0.46

20
9.139
5.57
1.60999
27.48
0.620

21
−16.931
0.00
1001.00000
−3.45
0.296

22
−16.932
0.20
1.63762
34.21
0.594

23
−49.525
3.11

24*
−7.878
1.91
1.53368
55.90
0.563

25*
24.022
3.30

26
∞
0.38
1.51640
65.06
0.535

27
∞
0.31

Image plane
∞

Aspherical surface data

1st surface

k = 0.000

A4 = 1.21996e−05

2nd surface

k = 0.000

A4 = 2.73727e−05

5th surface

k = −0.165

A4 = −1.19710e−05

8th surface

k = 0.000

A4 = 3.40041e−05

16th surface

k = −0.579

A4 = −1.81901e−05, A6 = 2.18274e−07

17th surface

k = 0.000

A4 = −9.14712e−05, A6 = 5.79438e−07

18th surface

k = 0.000

A4 = −2.04464e−04

19th surface

k = 0.000

A4 = 3.63528e−05

24th surface

k = 0.000

A4 = −3.43309e−05

25th surface

k = 0.000

A4 = −4.64396e−04

Various data

NA
0.23

Magnification
−1.33

Focal length
9.33

Image height(mm)
4.92

fb(mm) (in air)
3.86

Lens total length(mm) (in air)
54.14

Example 59

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
22.101
3.18
1.84666
23.77
0.620

2*
124.650
0.30

3
114.152
0.70
1.62588
35.70
0.589

4
16.412
0.30

5*
13.305
5.99
1.49700
81.61
0.538

6
−31.233
0.30

7
17.773
3.61
1.49700
81.61
0.538

8*
−77.787
0.30

9
40.293
3.15
1.61800
63.33
0.544

10
−16.251
0.70
1.72047
34.71
0.583

11
16.421
1.03

12(Stop)
∞
0.57

13
−40.907
0.70
1.90366
31.32
0.595

14
9.293
3.10
1.61800
63.33
0.544

15
−40.883
1.32

16*
12.708
2.72
1.60999
27.48
0.620

17
27.809
0.00
1001.00000
−3.45
0.296

18
27.809
0.20
1.63762
34.21
0.594

19*
27.322
6.28

20*
28.448
1.49
1.49700
81.61
0.538

21*
12.258
7.34

22*
10.768
3.89
1.58364
30.30
0.599

23*
−26.410
3.22

24*
−9.722
0.95
1.53368
55.90
0.563

25*
10.802
3.19

26
∞
0.38
1.51640
65.06
0.535

27
∞
0.30

Image plane
∞

Aspherical surface data

1st surface

k = 0.000

A4 = 1.81664e−05

2nd surface

k = 0.000

A4 = 3.17867e−05

5th surface

k = −0.472

A4 = −1.54652e−05

8th surface

k = 0.000

A4 = 2.70940e−05

16th surface

k = −0.579

A4 = 5.37723e−05, A6 = 1.28843e−06

19th surface

k = 0.000

A4 = 7.64130e−05, A6 = 1.59199e−06

20th surface

k = 0.000

A4 = 2.38574e−05

21th surface

k = 0.000

A4 = −5.41581e−05

22th surface

k = 0.000

A4 = −9.20996e−05

23th surface

k = 0.000

A4 = 1.48765e−05

24th surface

k = 0.000

A4 = 2.30798e−04

25th surface

k = 0.000

A4 = −1.65854e−04

Various data

NA
0.23

Magnification
−1.33

Focal length
10.42

Image height(mm)
4.92

fb(mm) (in air)
3.74

Lens total length(mm) (in air)
55.07

Example 60

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
30.853
3.59
1.84666
23.77
0.620

2*
−228.348
0.30

3
34.422
0.70
1.62588
35.70
0.589

4
14.782
0.30

5*
12.104
6.41
1.49700
81.61
0.538

6
−35.889
0.30

7
−49.464
0.20
1.63762
34.21
0.594

8
−49.078
0.00
1001.00000
−3.45
0.296

9
−49.077
0.70
1.60999
27.48
0.620

10
−60.906
0.30

11
16.056
4.14
1.61800
63.33
0.544

12
−51.065
0.70
1.72047
34.71
0.583

13
11.329
1.50

14(Stop)
∞
−0.25

15
29.773
0.70
1.90366
31.32
0.595

16
8.337
3.21
1.61800
63.33
0.544

17
36.482
1.31

18*
10.000
3.43
1.49700
81.61
0.538

19*
108.943
5.30

20*
−760.614
0.70
1.49700
81.61
0.538

21*
12.153
8.57

22*
10.932
4.26
1.58364
30.30
0.599

23*
−46.469
4.54

24*
−10.332
0.75
1.53368
55.90
0.563

25*
15.919
2.85

26
∞
0.38
1.51640
65.06
0.535

27
∞
0.30

Image plane
∞

Aspherical surface data

1st surface

k = 0.000

A4 = 9.77276e−06

2nd surface

k = 0.000

A4 = 1.67764e−05

5th surface

k = −0.659

A4 = 1.08105e−05

18th surface

k = −0.579

A4 = 5.63637e−06, A6 = 5.19107e−07

19th surface

k = 0.000

A4 = 2.26706e−06, A6 = 6.14099e−07

20th surface

k = 0.000

A4 = −3.93066e−06

21th surface

k = 0.000

A4 = 1.90962e−06

22th surface

k = 0.000

A4 = −3.81502e−05

23th surface

k = 0.000

A4 = 2.47354e−06

24th surface

k = 0.000

A4 = 7.91457e−06, A6 = 1.44833e−06

25th surface

k = 0.000

A4 = −1.11135e−05, A6 = −2.19459e−06

Various data

NA
0.23

Magnification
−1.33

Focal length
10.62

Image height(mm)
4.92

fb(mm) (in air)
3.41

Lens total length(mm) (in air)
55.07

Example 61

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
−8.586
6.54
1.53368
55.90
0.563

2*
−38.013
0.08

3*
23.658
5.62
1.63490
23.88
0.630

4*
−13.749
0.05

5*
483.930
0.50
1.58364
30.30
0.599

6*
31.754
0.05

7*
10.006
6.19
1.49700
81.61
0.538

8*
−22.587
0.05

9
36.901
4.56
1.61800
63.33
0.544

10
−9.647
0.50
1.72047
34.71
0.583

11
15.812
1.63

12(Stop)
∞
0.83

13
−23.387
0.50
1.72047
34.71
0.583

14
18.752
3.04
1.61800
63.33
0.544

15
−24.584
0.12

16*
13.844
5.92
1.49700
81.61
0.538

17*
−20.251
9.46

18*
−10.122
5.91
1.58364
30.30
0.599

19*
−13.868
2.45

20*
−9.722
7.60
1.58364
30.30
0.599

21*
−7.658
3.02

22*
−16.164
3.70
1.63490
23.88
0.630

23*
−27.524
0.05

24*
7.572
5.94
1.53368
55.90
0.563

25*
3.912
6.00

26
∞
0.30
1.51640
65.06
0.535

27
∞
6.28

Image plane
∞

Aspherical surface data

1st surface

k = 0.580

A4 = −9.12075e−04, A6 = 5.36263e−05, A8 = −3.61636e−06

2nd surface

k = 0.348

A4 = −6.71325e−04, A6 = 4.96564e−06, A8 = −1.02244e−07

3rd surface

k = −0.448

A4 = 2.69179e−05, A6 = 2.59561e−07, A8 = 1.81093e−09

4th surface

k = −2.729

A4 = 2.62358e−05, A6 = 1.66698e−06, A8 = −5.24204e−09

5th surface

k = −2409.520

A4 = −5.88015e−06, A6 = −5.65544e−08

6th surface

k = 0.023

A4 = 8.78714e−06, A6 = 4.93409e−09

7th surface

k = −2.423

A4 = −3.77237e−05, A6 = −3.90286e−07, A8 = 6.14283e−09

8th surface

k = 1.443

A4 = −3.05033e−05, A6 = 1.08600e−07, A8 = 1.41866e−09

16th surface

k = −1.658

A4 = −1.51099e−05, A6 = 1.28932e−07, A8 = −7.26513e−10

17th surface

k = 0.184

A4 = −2.43950e−05, A6 = −7.20933e−08, A8 = 4.75546e−10

18th surface

k = 0.132

A4 = 6.92244e−06, A6 = 6.19572e−07, A8 = 8.38466e−09

19th surface

k = −2.887

A4 = 8.20744e−06, A6 = −4.23855e−07, A8 = 2.80030e−09

20th surface

k = −0.631

A4 = −4.16331e−06, A6 = −1.26465e−07, A8 = −9.14719e−09

21th surface

k = −1.191

A4 = 5.22955e−05, A6 = −4.06789e−07, A8 = −1.05876e−09

22th surface

k = −31.151

A4 = 7.85252e−05, A6 = −4.81367e−07, A8 = −3.45006e−09,

A10 = 2.89579e−12

23th surface

k = −0.713

A4 = −4.71492e−05, A6 = −4.75038e−08, A8 = −1.74975e−10,

A10 = −7.97360e−12

24th surface

k = −4.264

A4 = −3.18002e−04, A6 = 1.39934e−06, A8 = 7.25578e−09,

A10 = −5.39754e−11

25th surface

k = −1.881

A4 = −3.56331e−04, A6 = 5.70132e−06, A8 = −5.32334e−08,

A10 = 2.10863e−10

Various data

NA
0.60

Magnification
−3.57

Focal length
8.96

Image height(mm)
7.93

fb(mm) (in air)
12.47

Lens total length(mm) (in air)
86.77

Example 62

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
−8.518
6.48
1.53368
55.90
0.563

2*
−38.017
0.07

3*
23.626
5.62
1.63490
23.88
0.630

4*
−13.766
0.05

5*
474.790
0.49
1.58364
30.30
0.599

6*
31.840
0.05

7*
9.994
6.43
1.49700
81.61
0.538

8*
−22.550
0.06

9
37.796
4.55
1.61800
63.33
0.544

10
−9.723
0.50
1.72047
34.71
0.583

11
15.791
1.51

12(Stop)
∞
0.83

13
−23.405
0.50
1.72047
34.71
0.583

14
18.836
3.04
1.61800
63.33
0.544

15
−24.432
0.05

16*
13.826
5.68
1.49700
81.61
0.538

17*
−20.280
9.47

18*
−10.093
5.91
1.58364
30.30
0.599

19*
−13.913
3.08

20*
−9.681
7.68
1.58364
30.30
0.599

21*
−7.639
3.02

22*
−16.165
3.77
1.63490
23.88
0.630

23*
−27.283
0.05

24*
7.584
5.93
1.53368
55.90
0.563

25*
3.906
6.00

26
∞
0.30
1.51640
65.06
0.535

27
∞
5.82

Image plane
∞

Aspherical surface data

1st surface

k = 0.475

A4 = −8.84441e−04, A6 = 6.04064e−05, A8 = −5.76698e−06

2nd surface

k = −0.958

A4 = −6.68132e−04, A6 = 5.04103e−06, A8 = −1.03257e−07

3rd surface

k = −0.479

A4 = 2.66301e−05, A6 = 2.47046e−07, A8 = 1.70474e−09

4th surface

k = −2.726

A4 = 2.62640e−05, A6 = 1.67016e−06, A8 = −5.41971e−09

5th surface

k = −2345.875

A4 = −5.83422e−06, A6 = −4.85118e−08

6th surface

k = −0.006

A4 = 8.68836e−06, A6 = −4.70192e−09

7th surface

k = −2.425

A4 = −3.77595e−05, A6 = −3.84874e−07, A8 = 5.86446e−09

8th surface

k = 1.450

A4 = −3.05845e−05, A6 = 1.01828e−07, A8 = 1.52990e−09

16th surface

k = −1.658

A4 = −1.51124e−05, A6 = 1.26975e−07, A8 = −7.28488e−10

17th surface

k = 0.179

A4 = −2.42938e−05, A6 = −6.94876e−08, A8 = 3.98116e−10

18th surface

k = 0.132

A4 = 7.07169e−06, A6 = 6.32887e−07, A8 = 9.67925e−09

19th surface

k = −2.890

A4 = 8.40985e−06, A6 = −4.16581e−07, A8 = 2.92048e−09

20th surface

k = −0.632

A4 = −3.89651e−06, A6 = −1.34905e−07, A8 = −9.44213e−09

21th surface

k = −1.191

A4 = 5.24213e−05, A6 = −4.02486e−07, A8 = −1.05494e−09

22th surface

k = −30.784

A4 = 7.94179e−05, A6 = −4.73842e−07, A8 = −3.45074e−09,

A10 = 2.80530e−12

23th surface

k = −0.621

A4 = −4.77440e−05, A6 = −4.56224e−08, A8 = −8.13918e−11,

A10 = −7.89572e−12

24th surface

k = −4.243

A4 = −3.18831e−04, A6 = 1.39907e−06, A8 = 7.38731e−09,

A10 = −5.05176e−11

25th surface

k = −1.870

A4 = −3.34225e−04, A6 = 5.68135e−06, A8 = −5.42846e−08,

A10 = 2.31442e−10

Various data

NA
0.60

Magnification
−3.56

Focal length
8.92

Image height(mm)
7.93

fb(mm) (in air)
12.02

Lens total length(mm) (in air)
86.83

Example 63

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
−7.039
4.91
1.53368
55.90
0.563

2*
−17.920
0.05

3*
15.584
4.58
1.63490
23.88
0.630

4*
−12.462
0.05

5*
6.979
3.28
1.49700
81.61
0.538

6*
−19.498
0.05

7
39.995
2.50
1.61800
63.33
0.544

8
−7.177
0.50
1.72047
34.71
0.583

9
9.843
0.80

10(Stop)
∞
0.58

11
−13.844
0.50
1.72047
34.71
0.583

12
9.243
2.44
1.61800
63.33
0.544

13
−20.574
0.05

14*
10.818
3.74
1.49700
81.61
0.538

15*
−12.062
13.98

16*
−6.434
6.53
1.58364
30.30
0.599

17*
−5.371
3.16

18*
−11.488
1.97
1.63490
23.88
0.630

19*
−18.115
0.27

20*
5.193
3.81
1.53368
55.90
0.563

21*
2.478
4.35

22
∞
0.26
1.51640
65.06
0.535

23
∞
0.91

Image plane
∞

Aspherical surface data

1st surface

k = −7.688

A4 = −5.30828e−03, A6 = 1.00779e−03, A8 = −3.13102e−04

2nd surface

k = 9.824

A4 = −1.93476e−03, A6 = 2.83575e−05, A8 = −1.27395e−06

3rd surface

k = −1.316

A4 = 3.98817e−05, A6 = 1.75107e−07, A8 = 2.54238e−08

4th surface

k = −5.068

A4 = 1.22657e−04, A6 = 6.73445e−06, A8 = −1.01603e−07

5th surface

k = −2.319

A4 = −8.13599e−05, A6 = −6.40124e−06, A8 = 1.43467e−07

6th surface

k = 3.388

A4 = −1.26292e−04, A6 = −1.27410e−06, A8 = 9.01790e−08

14th surface

k = −2.381

A4 = −1.37296e−04, A6 = 1.42467e−06, A8 = −9.01579e−09

15th surface

k = −0.582

A4 = −2.02116e−05, A6 = −1.14010e−06, A8 = −9.41687e−09

16th surface

k = −0.049

A4 = −2.66503e−04, A6 = 1.37620e−05, A8 = −2.75338e−07

17th surface

k = −1.101

A4 = 2.02237e−04, A6 = −2.08688e−06, A8 = −2.48953e−08

18th surface

k = −33.992

A4 = 2.88723e−04, A6 = −5.74254e−06, A8 = −5.45486e−08,

A10 = −8.25069e−11

19th surface

k = −1.062

A4 = −1.89497e−04, A6 = −2.28174e−07, A8 = −1.72532e−08,

A10 = −3.24889e−10

20th surface

k = −4.642

A4 = −1.21065e−03, A6 = 1.21481e−05, A8 = 1.80222e−07,

A10 = −1.84008e−09

21th surface

k = −1.845

A4 = −8.86076e−04, A6 = 4.64728e−05, A8 = −1.48831e−06,

A10 = 2.99535e−08

Various data

NA
0.60

Magnification
−3.56

Focal length
4.98

Image height(mm)
4.75

fb(mm) (in air)
5.43

Lens total length(mm) (in air)
59.20

Example 64

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
−8.599
5.93
1.53368
55.90
0.563

2*
−19.840
0.05

3*
17.840
5.28
1.63490
23.88
0.630

4*
−14.375
0.06

5*
7.961
3.54
1.49700
81.61
0.538

6*
−22.188
0.05

7
52.926
2.61
1.61800
63.33
0.544

8
−8.538
0.50
1.72047
34.71
0.583

9
11.099
0.96

10(Stop)
∞
0.66

11
−15.771
0.50
1.72047
34.71
0.583

12
10.927
2.65
1.61800
63.33
0.544

13
−21.930
0.05

14*
12.592
4.04
1.49700
81.61
0.538

15*
−13.902
15.89

16*
−7.470
7.77
1.58364
30.30
0.599

17*
−6.239
3.85

18*
−13.303
2.40
1.63490
23.88
0.630

19*
−20.860
0.30

20*
6.006
4.42
1.53368
55.90
0.563

21*
2.794
5.00

22
∞
0.30
1.51640
65.06
0.535

23
∞
0.53

Image plane
∞

Aspherical surface data

1st surface

k = −6.559

A4 = −3.07798e−03, A6 = 7.19063e−04, A8 = −1.43633e−04

2nd surface

k = 8.617

A4 = −1.24859e−03, A6 = 1.39145e−05, A8 = −4.33338e−07

3rd surface

k = −1.217

A4 = 2.14714e−05, A6 = 4.97776e−07, A8 = 6.93013e−09

4th surface

k = −5.042

A4 = 7.67295e−05, A6 = 3.42831e−06, A8 = −3.37151e−08

5th surface

k = −2.297

A4 = −6.04721e−05, A6 = −3.09153e−06, A8 = 4.84282e−08

6th surface

k = 3.319

A4 = −8.28348e−05, A6 = −6.61324e−07, A8 = 3.24620e−08

14th surface

k = −2.342

A4 = −9.16209e−05, A6 = 8.36992e−07, A8 = −4.45060e−09

15th surface

k = −0.501

A4 = −1.62220e−05, A6 = −5.10344e−07, A8 = −3.96678e−09

16th surface

k = −0.081

A4 = −1.74720e−04, A6 = 6.86575e−06, A8 = −9.76272e−08

17th surface

k = −1.090

A4 = 1.45428e−04, A6 = −1.07366e−06, A8 = −5.76918e−09

18th surface

k = −35.703

A4 = 2.12538e−04, A6 = −2.80559e−06, A8 = −1.82100e−08,

A10 = −2.49815e−12

19th surface

k = −1.240

A4 = −1.24964e−04, A6 = −2.05558e−07, A8 = −4.46527e−09,

A10 = −7.30148e−11

20th surface

k = −4.876

A4 = −8.70533e−04, A6 = 5.71807e−06, A8 = 5.33843e−08,

A10 = −2.87801e−10

21th surface

k = −1.928

A4 = −3.56431e−04, A6 = 1.04471e−05, A8 = −2.60887e−07,

A10 = 3.89803e−09

Various data

NA
0.60

Magnification
−3.56

Focal length
5.34

Image height(mm)
5.50

fb(mm) (in air)
5.73

Lens total length(mm) (in air)
67.24

Example 65

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
−6.269
4.80
1.53368
55.90
0.563

2*
−27.398
0.05

3*
17.424
4.12
1.63490
23.88
0.630

4*
−10.162
0.05

5*
329.227
0.61
1.58364
30.30
0.599

6*
23.639
0.05

7*
7.301
4.38
1.49700
81.61
0.538

8*
−16.656
0.05

9
26.802
3.49
1.61800
63.33
0.544

10
−7.076
0.50
1.72047
34.71
0.583

11
11.663
1.25

12(Stop)
∞
0.71

13
−16.523
0.50
1.72047
34.71
0.583

14
14.445
2.57
1.61800
63.33
0.544

15
−18.236
0.06

16*
10.173
4.62
1.49700
81.61
0.538

17*
−14.804
6.97

18*
−7.554
4.14
1.58364
30.30
0.599

19*
−9.958
2.28

20*
−7.176
4.95
1.61421
25.60
0.621

21*
−5.830
2.02

22*
−11.735
2.84
1.63490
23.88
0.630

23*
−20.945
0.05

24*
5.546
4.33
1.53368
55.90
0.563

25*
2.897
4.50

26
∞
0.30
1.51640
65.06
0.535

27
∞
3.63

Image plane
∞

Aspherical surface data

1st surface

k = 0.659

A4 = −2.04816e−03, A6 = 2.35320e−04, A8 = −4.81520e−05

2nd surface

k = −1.065

A4 = −1.68684e−03, A6 = 2.29728e−05, A8 = −9.25180e−07

3rd surface

k = −0.588

A4 = 6.51788e−05, A6 = 1.13163e−06, A8 = 1.95724e−08

4th surface

k = −2.720

A4 = 6.41977e−05, A6 = 7.66373e−06, A8 = −3.86820e−08

5th surface

k = −1871.246

A4 = −1.46877e−05, A6 = −2.79488e−07

6th surface

k = −0.064

A4 = 2.14004e−05, A6 = 4.39293e−08

7th surface

k = −2.423

A4 = −9.35989e−05, A6 = −1.73930e−06, A8 = 5.12031e−08

8th surface

k = 1.436

A4 = −7.63094e−05, A6 = 4.05361e−07, A8 = 1.19948e−08

16th surface

k = −1.670

A4 = −3.89307e−05, A6 = 5.41575e−07, A8 = −3.89066e−09

17th surface

k = 0.072

A4 = −6.09183e−05, A6 = −2.19847e−07, A8 = 6.07739e−09

18th surface

k = 0.089

A4 = 9.88125e−06, A6 = 2.25429e−06, A8 = 5.40413e−08

19th surface

k = −2.920

A4 = 2.34541e−05, A6 = −1.70730e−06, A8 = 1.38533e−08

20th surface

k = −0.618

A4 = −1.37263e−05, A6 = −1.25116e−06, A8 = −8.15675e−08

21th surface

k = −1.185

A4 = 1.29062e−04, A6 = −1.87858e−06, A8 = −1.27341e−08

22th surface

k = −30.535

A4 = 2.12596e−04, A6 = −2.32471e−06, A8 = −3.18933e−08,

A10 = 2.49260e−11

23th surface

k = 0.060

A4 = −1.34020e−04, A6 = −1.76460e−07, A8 = 8.51270e−10,

A10 = −1.31091e−10

24th surface

k = −4.296

A4 = −8.13846e−04, A6 = 6.17276e−06, A8 = 7.50056e−08,

A10 = −7.01350e−10

25th surface

k = −1.860

A4 = −8.20694e−04, A6 = 2.77718e−05, A8 = −5.24812e−07,

A10 = 5.58526e−09

Various data

NA
0.60

Magnification
−3.56

Focal length
6.16

Image height(mm)
5.50

fb(mm) (in air)
8.33

Lens total length(mm) (in air)
63.71

Example 66

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
−6.744
4.55
1.53368
55.90
0.563

2*
−28.324
0.05

3*
17.647
4.11
1.63490
23.88
0.630

4*
−10.252
0.05

5*
368.125
0.70
1.58364
30.30
0.599

6*
23.485
0.05

7*
7.303
3.75
1.49700
81.61
0.538

8*
−16.608
0.05

9
27.992
3.48
1.61800
63.33
0.544

10
−7.240
0.50
1.72047
34.71
0.583

11
11.712
0.93

12(Stop)
∞
0.68

13
−16.247
0.50
1.72047
34.71
0.583

14
14.941
2.48
1.61800
63.33
0.544

15
−17.172
0.05

16*
10.250
5.04
1.49700
81.61
0.538

17*
−14.686
7.09

18*
−7.433
3.40
1.58364
30.30
0.599

19*
−10.047
2.59

20*
−6.674
5.39
1.61421
25.60
0.621

21*
−5.707
2.10

22*
−11.710
2.68
1.63490
23.88
0.630

23*
−20.113
0.08

24*
5.560
4.27
1.53368
55.90
0.563

25*
2.881
4.50

26
∞
0.30
1.51640
65.06
0.535

27
∞
2.87

Image plane
∞

Aspherical surface data

1st surface

k = 0.466

A4 = −1.83113e−03, A6 = 2.20399e−04, A8 = −4.01986e−05

2nd surface

k = −4.154

A4 = −1.67302e−03, A6 = 2.41417e−05, A8 = −9.14504e−07

3rd surface

k = −0.713

A4 = 6.22862e−05, A6 = 1.21873e−06, A8 = 2.05895e−08

4th surface

k = −2.747

A4 = 6.54960e−05, A6 = 7.63953e−06, A8 = −3.72649e−08

5th surface

k = −2888.742

A4 = −1.51322e−05, A6 = −1.13362e−07

6th surface

k = −0.115

A4 = 2.12292e−05, A6 = −4.40257e−08

7th surface

k = −2.422

A4 = −9.18841e−05, A6 = −1.69650e−06, A8 = 4.50496e−08

8th surface

k = 1.359

A4 = −7.73141e−05, A6 = 3.20836e−07, A8 = 1.45375e−08

16th surface

k = −1.661

A4 = −3.80858e−05, A6 = 6.00548e−07, A8 = −3.31015e−09

17th surface

k = 0.087

A4 = −6.24513e−05, A6 = −2.33471e−07, A8 = 7.81939e−09

18th surface

k = 0.116

A4 = 6.47632e−06, A6 = 1.93794e−06, A8 = 8.75430e−08

19th surface

k = −2.967

A4 = 3.57609e−05, A6 = −1.49735e−06, A8 = 2.83588e−08

20th surface

k = −0.611

A4 = −1.58294e−05, A6 = −1.07032e−06, A8 = −9.97644e−08

21th surface

k = −1.189

A4 = 1.28670e−04, A6 = −1.99874e−06, A8 = −1.23533e−08

22th surface

k = −30.969

A4 = 2.14284e−04, A6 = −2.50014e−06, A8 = −3.94482e−08,

A10 = 1.75181e−11

23th surface

k = 0.274

A4 = −1.40593e−04, A6 = −2.34596e−07, A8 = −2.72736e−09,

A10 = −1.34264e−10

24th surface

k = −4.460

A4 = −8.31533e−04, A6 = 6.06058e−06, A8 = 7.30319e−08,

A10 = −5.38583e−10

25th surface

k = −1.870

A4 = −7.81641e−04, A6 = 2.80809e−05, A8 = −5.72873e−07,

A10 = 6.43070e−09

Various data

NA
0.60

Magnification
−3.56

Focal length
5.82

Image height(mm)
5.23

fb(mm) (in air)
7.57

Lens total length(mm) (in air)
62.10

Example 67

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
−11.654
8.90
1.53368
55.90
0.563

2*
−53.270
0.09

3*
32.497
7.73
1.63490
23.88
0.630

4*
−18.865
0.05

5*
609.908
0.55
1.58364
30.30
0.599

6*
43.689
0.05

7*
13.655
8.70
1.49700
81.61
0.538

8*
−30.942
0.05

9
54.201
6.26
1.61800
63.33
0.544

10
−13.279
0.50
1.72047
34.71
0.583

11
21.817
2.42

12(Stop)
∞
1.14

13
−31.961
0.52
1.72047
34.71
0.583

14
25.513
4.08
1.61800
63.33
0.544

15
−33.246
0.15

16*
18.998
8.40
1.49700
81.61
0.538

17*
−27.856
12.95

18*
−14.193
8.09
1.58364
30.30
0.599

19*
−19.094
4.04

20*
−13.249
10.54
1.58364
30.30
0.599

21*
−10.558
4.39

22*
−22.376
5.26
1.63490
23.88
0.630

23*
−37.463
0.05

24*
10.448
8.01
1.53368
55.90
0.563

25*
5.391
8.22

26
∞
0.30
1.51640
65.06
0.535

27
∞
8.21

Image plane
∞

Aspherical surface data

1st surface

k = 1.075

A4 = −3.07742e−04, A6 = 9.46748e−06, A8 = −3.95246e−07

2nd surface

k = 0.243

A4 = −2.62486e−04, A6 = 1.05472e−06, A8 = −1.12886e−08

3rd surface

k = −0.422

A4 = 1.05645e−05, A6 = 4.99657e−08, A8 = 2.12551e−10

4th surface

k = −2.716

A4 = 1.02640e−05, A6 = 3.36920e−07, A8 = −5.29009e−10

5th surface

k = −1981.989

A4 = −2.50643e−06, A6 = −1.03156e−08

6th surface

k = 0.024

A4 = 3.45165e−06, A6 = −4.51348e−11

7th surface

k = −2.412

A4 = −1.51250e−05, A6 = −7.89064e−08, A8 = 6.63287e−10

8th surface

k = 1.432

A4 = −1.17703e−05, A6 = 2.10026e−08, A8 = 1.62417e−10

16th surface

k = −1.632

A4 = −6.09995e−06, A6 = 2.72227e−08, A8 = −7.60562e−11

17th surface

k = 0.162

A4 = −9.42741e−06, A6 = −1.49326e−08, A8 = 6.00257e−11

18th surface

k = 0.151

A4 = 1.94021e−06, A6 = 1.05693e−07, A8 = 8.44621e−10

19th surface

k = −2.829

A4 = 3.81519e−06, A6 = −6.91852e−08, A8 = 2.58538e−10

20th surface

k = −0.623

A4 = −2.50444e−06, A6 = −3.72162e−08, A8 = −1.04792e−09

21th surface

k = −1.166

A4 = 2.08328e−05, A6 = −9.68055e−08, A8 = −1.11067e−10

22th surface

k = −30.999

A4 = 2.88686e−05, A6 = −9.73152e−08, A8 = −4.06882e−10,

A10 = 1.90801e−13

23th surface

k = −1.442

A4 = −1.868386−05, A6 = −1.599486−08, A8 = −2.14349e−11,

A10 = −4.13529e−13

24th surface

k = −4.203

A4 = −1.26702e−04, A6 = 3.03286e−07, A8 = 8.98650e−10,

A10 = −3.27718e−12

25th surface

k = −1.867

A4 = −1.38264e−04, A6 = 1.20863e−06, A8 = −5.84639e−09,

A10 = 1.39250e−11

Various data

NA
0.60

Magnification
−3.55

Focal length
12.29

Image height(mm)
10.82

fb(mm) (in air)
16.62

Lens total length(mm) (in air)
119.56

Example 68

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
−63.538
10.02
1.85135
40.10
0.569

2*
32.204
0.05

3*
32.533
7.00
1.53368
55.90
0.563

4*
−106.297
0.26

5*
54.300
10.00
1.49700
81.61
0.538

6*
−23.738
0.98

7*
85.904
4.20
1.49700
81.61
0.538

8*
−97.520
0.06

9*
105.081
8.88
1.63490
23.88
0.630

10*
−33.023
0.42

11*
−38.264
2.80
1.58364
30.30
0.599

12*
53.734
0.07

13
62.691
11.68
1.49700
81.61
0.538

14
−22.596
5.75
1.72047
34.71
0.583

15
−112.813
3.53

16(Stop)
∞
−1.56

17*
70.148
2.54
1.53368
55.90
0.563

18*
−183.515
0.24

19
−284.510
8.92
1.49700
81.61
0.538

20
−28.520
8.41
1.72047
34.71
0.583

21
198.897
17.49
1.49700
81.61
0.538

22
−40.316
16.34

23*
93.660
5.46
1.84666
23.78
0.620

24*
212.953
16.44

25*
25.378
9.46
1.53368
55.90
0.563

26*
−119.565
0.48

27*
52.177
9.92
1.53368
55.90
0.563

28*
10.383
12.85

29*
−44.349
7.33
1.53368
55.90
0.563

30*
−53.218
2.07

31*
−20.191
10.09
1.53368
55.90
0.563

32*
50.820
2.00

33
∞
0.30
1.51640
65.06
0.535

34
∞
1.80

Image plane
∞

Aspherical surface data

1st surface

k = 4.443

A4 = −1.05776e−04, A6 = −3.64425e−07, A8 = 1.98904e−09

2nd surface

k = −19.238

A4 = −3.91023e−05, A6 = −3.11804e−08, A8 = −5.67242e−11

3rd surface

k = −20.954

A4 = 2.62599e−06, A6 = 1.82851e−08, A8 = 4.54659e−11

4th surface

k = 9.940

A4 = −1.61900e−05, A6 = 9.03155e−09, A8 = 1.79996e−10

5th surface

k = 1.123

A4 = 2.67856e−07, A6 = −3.15865e−08, A8 = 3.49785e−11

6th surface

k = −2.027

A4 = 3.50357e−06, A6 = 2.04747e−08, A8 = 6.93297e−11

7th surface

k = 2.496

A4 = −4.68859e−06, A6 = −7.75345e−09, A8 = 6.02390e−11

8th surface

k = 3.339

A4 = 3.50988e−07, A6 = 2.15482e−08, A8 = −2.56013e−11

9th surface

k = 3.604

A4 = 1.20384e−07, A6 = 1.78755e−08, A8 = −3.15317e−13

10th surface

k = 0.355

A4 = 1.24700e−05, A6 = 2.89708e−10, A8 = 3.47525e−11

11th surface

k = 1.839

A4 = 3.37433e−06, A6 = 3.63821e−09, A8 = 5.61429e−11

12th surface

k = −10.495

A4 = −1.54011e−05, A6 = −1.49070e−09, A8 = 3.23097e−11

17th surface

k = 0.528

A4 = −5.62809e−07, A6 = −5.77511e−09, A8 = −1.61623e−11

18th surface

k = −142.321

A4 = 4.44624e−06, A6 = 9.06780e−09, A8 = −3.00760e−11

23th surface

k = −1.909

A4 = −9.55582e−07, A6 = −2.84663e−09, A8 = 4.48649e−12

24th surface

k = −158.290

A4 = −2.56151e−06, A6 = −1.96788e−09, A8 = 4.34014e−12

25th surface

k = −1.408

A4 = −7.29707e−06, A6 = −3.93011e−09, A8 = −1.35076e−11

26th surface

k = −36.249

A4 = 6.21711e−07, A6 = −2.35958e−09, A8 = −9.91770e−12

27th surface

k = −11.909

A4 = −5.75821e−06, A6 = 3.19672e−08, A8 = −4.31284e−11

28th surface

k = −1.033

A4 = −2.20475e−05, A6 = 7.79789e−08, A8 = 9.56535e−11

29th surface

k = 5.439

A4 = −2.60359e−05, A6 = 9.13286e−08, A8 = 2.72747e−12

30th surface

k = 2.910

A4 = −1.84445e−06, A6 = 5.39362e−08, A8 = −9.42280e−11

31th surface

k = −0.869

A4 = 3.33460e−05, A6 = −1.85661e−08, A8 = 8.80359e−11

32th surface

k = −24.510

A4 = −1.19291e−05, A6 = −5.06023e−10, A8 = −1.47595e−11

Various data

NA
0.60

Magnification
−3.51

Focal length
7.51

Image height(mm)
20.78

fb(mm) (in air)
4.00

Lens total length(mm) (in air)
196.17

Example 69

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
−29.955
5.67
1.85135
40.10
0.569

2*
21.219
0.05

3*
26.565
3.07
1.53368
55.90
0.563

4*
−29.352
0.05

5*
27.194
4.58
1.49700
81.61
0.538

6*
−12.447
0.05

7*
41.662
1.69
1.49700
81.61
0.538

8*
−59.590
0.05

9*
44.366
3.67
1.63490
23.88
0.630

10*
−17.202
0.50

11*
−19.670
1.21
1.58364
30.30
0.599

12*
30.021
0.20

13
23.366
5.25
1.49700
81.61
0.538

14
−12.616
0.50
1.72047
34.71
0.583

15
68.194
2.31

16(Stop)
∞
−1.10

17*
21.245
1.85
1.53368
55.90
0.563

18*
−93.246
0.09

19
−148.608
2.90
1.49700
81.61
0.538

20
−12.601
1.24
1.72047
34.71
0.583

21
37.919
4.85
1.49700
81.61
0.538

22
−24.743
6.71

23*
34.680
2.10
1.84666
23.78
0.620

24*
92.807
9.47

25*
12.166
7.28
1.53368
55.90
0.563

26*
−40.917
0.63

27*
40.697
4.65
1.53368
55.90
0.563

28*
5.464
4.96

29*
69.863
4.34
1.53368
55.90
0.563

30*
−23.297
2.44

31*
−8.406
3.04
1.53368
55.90
0.563

32*
13.145
2.00

33
∞
0.30
1.51640
65.06
0.535

34
∞
0.95

Image plane
∞

Aspherical surface data

1st surface

k = −2.844

A4 = −5.95233e−04, A6 = −2.01185e−05, A8 = −4.04057e−08

2nd surface

k = −26.594

A4 = −2.91563e−04, A6 = 3.38545e−08, A8 = −4.48601e−09

3rd surface

k = −38.988

A4 = 1.31076e−05, A6 = 1.39853e−07, A8 = 7.03094e−09

4th surface

k = 7.191

A4 = −8.19846e−05, A6 = −3.06820e−07, A8 = 2.47340e−08

5th surface

k = 1.384

A4 = 5.08576e−06, A6 = −7.77373e−07, A8 = 6.23909e−09

6th surface

k = −1.761

A4 = 1.48354e−05, A6 = 4.86920e−07, A8 = 6.06003e−09

7th surface

k = −14.126

A4 = −5.35357e−05, A6 = −2.25010e−07, A8 = 6.88366e−09

8th surface

k = −2.133

A4 = 1.05864e−05, A6 = 6.95122e−07, A8 = −3.15146e−09

9th surface

k = 3.451

A4 = 2.22795e−06, A6 = 4.87778e−07, A8 = −1.66619e−09

10th surface

k = 0.360

A4 = 1.03539e−04, A6 = −6.33943e−08, A8 = 4.04592e−09

11th surface

k = 1.941

A4 = 2.37787e−05, A6 = 1.62382e−07, A8 = 7.66827e−09

12th surface

k = −10.761

A4 = −1.30990e−04, A6 = −1.71078e−07, A8 = 5.02262e−09

17th surface

k = −0.267

A4 = −1.00551e−05, A6 = −2.52136e−07, A8 = 4.24466e−10

18th surface

k = −207.405

A4 = 2.84376e−05, A6 = 3.79772e−07, A8 = −4.21658e−09

23th surface

k = −1.706

A4 = −7.10617e−06, A6 = −8.60971e−08, A8 = 7.01716e−10

24th surface

k = −186.451

A4 = −2.28317e−05, A6 = −6.42653e−08, A8 = 6.74174e−10

25th surface

k = −1.569

A4 = −6.55071e−05, A6 = −2.05782e−07, A8 = −4.37955e−09,

A10 = −2.52773e−14

26th surface

k = −3.839

A4 = −8.01566e−06, A6 = −2.54791e−07, A8 = −1.15935e−09,

A10 = −2.54003e−14

27th surface

k = −34.425

A4 = −4.77157e−05, A6 = 1.08255e−06, A8 = −4.06557e−09

28th surface

k = −1.002

A4 = −1.54742e−04, A6 = 2.47821e−06, A8 = −3.91574e−09

29th surface

k = −50.008

A4 = −5.21414e−05, A6 = 4.83615e−07, A8 = −8.84765e−09,

A10 = 1.50137e−12

30th surface

k = −29.019

A4 = 1.22863e−04, A6 = 8.90770e−07, A8 = −5.28257e−09,

A10 = 5.46743e−13

31th surface

k = −0.773

A4 = 3.16385e−04, A6 = 9.74440e−08, A8 = 1.40543e−08,

A10 = −5.53413e−14

32th surface

k = −16.868

A4 = −1.76589e−04, A6 = 8.02882e−07, A8 = −7.40507e−09,

A10 = −1.70931e−12

Various data

NA
0.59

Magnification
−3.51

Focal length
3.49

Image height (mm)
10.82

fb (mm) (in air)
3.15

Lens total length (mm) (in air)
87.44

Example 70

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
−51.987
5.12
1.85135
40.10
0.569

2*
34.312
0.50

3*
36.711
2.87
1.53366
55.96
0.555

4*
−92.469
0.20

5*
26.612
4.74
1.49700
81.61
0.538

6*
−11.451
0.05

7*
45.611
2.06
1.49700
81.61
0.538

8*
−54.045
0.20

9*
33.570
3.44
1.63484
23.91
0.622

10*
−21.835
1.05

11*
−19.881
0.50
1.58360
30.33
0.591

12*
20.272
0.52

13
29.888
5.28
1.49700
81.61
0.538

14
−9.919
0.50
1.72047
34.71
0.583

15
2653.840
0.67

16(Stop)
∞
0.00

17*
22.326
5.73
1.53366
55.96
0.555

18*
−48.583
0.50

19
−361.891
3.71
1.49700
81.61
0.538

20
−14.580
0.81
1.72047
34.71
0.583

21
49.171
13.96
1.49700
81.61
0.538

22
−23.109
1.04

23*
34.641
3.26
1.84666
23.78
0.621

24*
68.766
8.81

25*
14.872
7.26
1.53366
55.96
0.555

26*
−32.487
0.20

27*
24.860
4.91
1.53366
55.96
0.555

28*
5.064
10.91

29*
−6.358
3.04
1.53366
55.96
0.555

30*
−143.898
1.00

31
∞
0.30
1.51633
64.14
0.535

32
∞
2.00

Image plane
∞

Aspherical surface data

1st surface

k = −2.324

A4 = −5.99284e−04, A6 = −2.07443e−05, A8 = −5.78774e−08

2nd surface

k = −45.725

A4 = −3.42295e−04, A6 = −7.55261e−07, A8 = −1.43674e−08

3rd surface

k = −4.989

A4 = 1.53046e−05, A6 = −3.22204e−07, A8 = 1.52980e−08

4th surface

k = 10.000

A4 = −1.19884e−04, A6 = 7.20040e−07, A8 = 1.57561e−08

5th surface

k = 2.681

A4 = 5.72765e−06, A6 = −6.11721e−07, A8 = 7.66294e−09

6th surface

k = −2.065

A4 = 2.37171e−05, A6 = 6.14576e−07, A8 = 9.37247e−09

7th surface

k = 8.756

A4 = −2.94464e−05, A6 = −1.23697e−07, A8 = 8.83931e−09

8th surface

k = −18.390

A4 = 1.93047e−05, A6 = 8.03884e−07, A8 = −2.96453e−09

9th surface

k = 4.712

A4 = 2.70731e−07, A6 = 5.42517e−07, A8 = −1.96572e−10

10th surface

k = 0.590

A4 = 9.35359e−05, A6 = 8.42783e−08, A8 = 1.48700e−09

11th surface

k = 1.834

A4 = 2.94251e−05, A6 = −5.71155e−08, A8 = 8.02874e−09

12th surface

k = −8.347

A4 = −9.71672e−05, A6 = 9.03846e−09, A8 = 5.98733e−09

17th surface

k = −0.493

A4 = −1.13272e−05, A6 = −1.77520e−07, A8 = 1.69868e−09

18th surface

k = 0.000

A4 = 4.90449e−05, A6 = 8.80405e−08, A8 = 2.05302e−12

23th surface

k = −0.340

A4 = −4.99251e−06, A6 = −1.15596e−07, A8 = 5.65807e−10

24th surface

k = 0.000

A4 = −2.71164e−05, A6 = −5.85984e−08, A8 = 5.28978e−10

25th surface

k = −1.287

A4 = −5.62805e−05, A6 = −7.66209e−08, A8 = −1.46489e−09

26th surface

k = −28.138

A4 = −8.59208e−06, A6 = −1.62519e−07, A8 = −5.25099e−10

27th surface

k = −11.343

A4 = −9.45284e−05, A6 = 8.98312e−07, A8 = −3.28383e−09

28th surface

k = −1.166

A4 = −2.25428e−04, A6 = 2.61901e−06, A8 = −9.65650e−09

29th surface

k = −0.771

A4 = −1.76889e−04, A6 = 3.16654e−06, A8 = −5.43037e−08

30th surface

k = 0.000

A4 = −3.96799e−04, A6 = 8.52970e−07, A8 = −2.37397e−09

Various data

NA
0.62

Magnification
−3.55

Focal length
3.98

Image height (mm)
11.04

fb (mm) (in air)
3.20

Lens total length (mm) (in air)
95.03

Example 71

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
−33.708
5.42
1.85135
40.10
0.569

2*
30.549
0.05

3*
32.705
3.04
1.53366
55.96
0.555

4*
−33.718
0.05

5*
30.277
5.37
1.49700
81.61
0.538

6*
−9.108
1.92

7*
30.171
4.74
1.63484
23.91
0.622

8*
−20.083
0.50

9*
−21.758
0.50
1.58360
30.33
0.591

10*
20.217
0.31

11
22.752
5.35
1.49700
81.61
0.538

12
−11.085
0.50
1.72047
34.71
0.583

13
109.760
1.33

14(Stop)
∞
−1.02

15*
19.480
3.80
1.53366
55.96
0.555

16*
−36.243
0.50

17
−46.615
2.73
1.49700
81.61
0.538

18
−13.271
1.29
1.72047
34.71
0.583

19
63.152
10.17
1.49700
81.61
0.538

20
−21.328
5.57

21*
33.223
2.86
1.84666
23.78
0.621

22*
62.274
10.12

23*
13.399
6.98
1.53366
55.96
0.555

24*
−44.297
0.10

25*
23.820
4.79
1.53366
55.96
0.555

26*
5.404
10.39

27*
−5.660
2.59
1.53366
55.96
0.555

28*
−57.346
1.00

29
∞
0.30
1.51633
64.14
0.535

30
∞
1.99

Image plane
∞

Aspherical surface data

1st surface

k = −2.324

A4 = −5.99284e−04, A6 = −2.07443e−05, A8 = −5.78774e−08

2nd surface

k = −8.453

A4 = −3.06218e−04, A6 = −6.21190e−07, A8 = −3.79375e−09

3rd surface

k = −10.000

A4 = −2.32237e−05, A6 = −4.72804e−07, A8 = 1.21769e−08

4th surface

k = 9.824

A4 = −9.50929e−05, A6 = 4.21290e−07, A8 = 1.39565e−08

5th surface

k = 0.977

A4 = −1.41054e−06, A6 = −7.40956e−07, A8 = 9.05571e−09

6th surface

k = −1.674

A4 = −1.61992e−06, A6 = 3.89543e−07, A8 = 9.27075e−09

7th surface

k = 4.822

A4 = −3.06329e−06, A6 = 5.40103e−07, A8 = 3.70020e−10

8th surface

k = 0.187

A4 = 1.04929e−04, A6 = 2.35490e−07, A8 = 2.61993e−09

9th surface

k = 1.884

A4 = 1.43703e−05, A6 = −1.78034e−07, A8 = 9.88090e−09

10th surface

k = −9.975

A4 = −1.06112e−04, A6 = 2.10535e−07, A8 = 3.08727e−09

15th surface

k = −0.105

A4 = −1.01308e−05, A6 = −9.94355e−08, A8 = 2.46319e−09

16th surface

k = −9.295

A4 = 5.21616e−05, A6 = 2.67714e−07, A8 = 8.32227e−10

21th surface

k = −0.825

A4 = −4.71738e−06, A6 = −1.19133e−07, A8 = 6.33286e−10

22th surface

k = −9.836

A4 = −2.62975e−05, A6 = −4.49742e−08, A8 = 5.50344e−10

23th surface

k = −1.187

A4 = −5.59393e−05, A6 = −2.19981e−07, A8 = −1.27378e−09

24th surface

k = −9.425

A4 = −3.47590e−06, A6 = −2.14126e−07, A8 = −4.68874e−10

25th surface

k = −10.000

A4 = −9.66569e−05, A6 = 9.71367e−07, A8 = −4.26857e−09

26th surface

k = −1.038

A4 = −1.80783e−04, A6 = 9.34922e−07, A8 = −2.73424e−09

27th surface

k = −0.796

A4 = 2.33856e−05, A6 = 1.10760e−06, A8 = −4.51672e−08

28th surface

k = 0.564

A4 = −3.12661e−04, A6 = 2.54558e−07, A8 = −1.58646e−09

Various data

NA
0.60

Magnification
−3.53

Focal length
3.86

Image height (mm)
11.04

fb (mm) (in air)
3.18

Lens total length (mm) (in air)
93.13

Example 72

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
−36.181
28.58
1.53368
55.90
0.563

2*
−56.946
0.76

3*
61.405
21.75
1.63490
23.88
0.630

4*
−75.609
1.28

5*
31.784
13.63
1.49700
81.61
0.538

6*
−109.442
0.05

7
−131.758
11.91
1.61800
63.33
0.544

8
−32.872
1.02
1.72047
34.71
0.583

9
118.946
2.88

10(Stop)
∞
4.53

11
−75.872
1.04
1.72047
34.71
0.583

12
62.232
13.45
1.61800
63.33
0.544

13
−92.209
2.29

14*
55.068
22.12
1.49700
81.61
0.538

15*
−67.262
34.05

16*
−33.410
0.69
1.58364
30.30
0.599

17*
−66.553
65.37

18*
−110.319
24.35
1.63490
23.88
0.630

19*
−70.789
9.27

20*
28.392
16.92
1.53368
55.90
0.563

21*
−885.222
0.49

22*
189.555
21.44
1.53368
55.90
0.563

23*
11.316
18.40

24
∞
0.30
1.51640
65.06
0.535

25
∞
0.07

Image plane
∞

Aspherical surface data

1st surface

k = −173.796

A4 = −3.35526e−04, A6 = 1.26109e−05, A8 = −3.73711e−07

2nd surface

k = 5.924

A4 = −1.68456e−05, A6 = 1.61406e−08, A8 = −3.13890e−11

3rd surface

k = −0.972

A4 = −6.35538e−07, A6 = 1.17469e−09, A8 = −2.12993e−13

4th surface

k = −7.795

A4 = 6.08950e−07, A6 = 2.28598e−09, A8 = −1.15413e−12

5th surface

k = −2.835

A4 = −1.32987e−06, A6 = −7.65103e−10, A8 = −7.52953e−14

6th surface

k = 6.750

A4 = −1.65736e−06, A6 = −2.85490e−10, A8 = 1.21681e−12

14th surface

k = −0.859

A4 = −1.10335e−06, A6 = −2.25718e−10, A8 = 1.30529e−13

15th surface

k = 0.165

A4 = 3.95032e−08, A6 = −6.71393e−10, A8 = 2.80361e−13

16th surface

k = −0.459

A4 = 4.57377e−06, A6 = −3.03724e−09, A8 = 9.29938e−13

17th surface

k = −4.247

A4 = 5.69051e−06, A6 = −4.82179e−09, A8 = 1.67011e−12

18th surface

k = −63.971

A4 = 1.34636e−06, A6 = −3.87038e−09, A8 = −3.48009e−13,

A10 = 1.77701e−15

19th surface

k = −1.377

A4 = −6.47891e−07, A6 = 1.15104e−10, A8 = −1.46999e−12,

A10 = 1.56999e−15

20th surface

k = −1.324

A4 = −3.27595e−06, A6 = 5.51173e−09, A8 = −9.45068e−13,

A10 = 5.26132e−15

21th surface

k = −1.000

A4 = 5.09843e−07, A6 = −7.59988e−10, A8 = −3.15984e−12

22th surface

k = −1.000

A4 = −1.12247e−06, A6 = −1.43359e−09, A8 = −6.54554e−12

23th surface

k = −0.877

A4 = −2.88824e−05, A6 = 1.68813e−07, A8 = −5.77452e−10,

A10 = 7.15614e−12

Various data

NA
0.81

Magnification
−3.56

Focal length
23.68

Image height (mm)
7.93

fb (mm) (in air)
18.67

Lens total length (mm) (in air)
316.53

Example 73

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
−40.282
4.79
1.58364
30.30
0.599

2*
463.655
0.15

3*
−56.383
3.04
1.53368
55.90
0.563

4*
−22.798
0.05

5*
52.768
3.31
1.53368
55.90
0.563

6*
−30.496
0.05

7*
99.502
4.30
1.53368
55.90
0.563

8*
−15.870
0.05

9*
55.361
2.56
1.53368
55.90
0.563

10*
−40.687
0.05

11*
−41.002
0.70
1.58364
30.30
0.599

12*
−132.635
0.05

13*
−197.895
2.52
1.63490
23.88
0.630

14*
−19.020
0.05

15*
−24.922
0.70
1.58364
30.30
0.599

16*
37.592
0.05

17
32.596
6.26
1.49700
81.61
0.538

18
−15.766
0.70
1.72047
34.71
0.583

19
−483.885
0.05

20(Stop)
∞
−0.00

21*
31.326
1.93
1.53368
55.90
0.563

22*
336.567
0.43

23
129.510
5.53
1.49700
81.61
0.538

24
−16.383
0.69
1.72047
34.71
0.583

25
44.942
5.29
1.49700
81.61
0.538

26
−28.775
10.44

27*
43.477
3.20
1.84666
23.78
0.620

28*
108.100
8.65

29*
13.858
7.47
1.53368
55.90
0.563

30*
−48.612
1.07

31*
26.460
6.21
1.53368
55.90
0.563

32*
4.837
7.57

33*
−354.887
1.05
1.53368
55.90
0.563

34*
−13.673
1.18

35*
−10.332
1.47
1.53368
55.90
0.563

36*
10.221
2.00

37
∞
0.30
1.51640
65.06
0.535

38
∞
1.07

Image plane
∞

Aspherical surface data

1st surface

k = −3.208

A4 = −4.00276e−04, A6 = −1.07790e−05, A8 = −1.87287e−08

2nd surface

k = 7.798

A4 = −2.75758e−04, A6 = 2.10308e−08, A8 = −1.33321e−08

3rd surface

k = −18.910

A4 = −2.56423e−05, A6 = 8.98086e−08, A8 = −7.50836e−10

4th surface

k = 4.218

A4 = −8.97703e−05, A6 = 6.34630e−09, A8 = 1.59473e−10

5th surface

k = 2.825

A4 = 4.35005e−06, A6 = −3.43208e−07, A8 = 1.63947e−09

6th surface

k = −1.000

A4 = −2.56460e−06, A6 = 2.06882e−08, A8 = 5.97876e−10

7th surface

k = −1.000

A4 = −3.77951e−06, A6 = −6.33826e−09, A8 = 6.94696e−10

8th surface

k = −1.945

A4 = 3.71988e−06, A6 = −6.66431e−08, A8 = 2.51358e−09

9th surface

k = −18.446

A4 = −4.05634e−05, A6 = −2.46856e−07, A8 = 2.65735e−09

10th surface

k = −1.000

A4 = 1.06948e−06, A6 = 9.57333e−09, A8 = 3.53159e−11

11th surface

k = −1.000

A4 = 9.00548e−08, A6 = 1.08965e−08, A8 = 2.56428e−11

12th surface

k = −25.185

A4 = 1.20782e−05, A6 = 3.66535e−07, A8 = −1.92641e−09

13th surface

k = 9.934

A4 = −5.58480e−06, A6 = 3.40383e−07, A8 = −7.89811e−10

14th surface

k = 0.011

A4 = 6.84867e−05, A6 = 2.15623e−08, A8 = 3.28107e−09

15th surface

k = 2.072

A4 = 1.58083e−05, A6 = 1.06906e−07, A8 = 3.45403e−09

16th surface

k = −5.656

A4 = −8.90526e−05, A6 = −2.43611e−07, A8 = 1.71510e−09

21th surface

k = 0.012

A4 = −4.60350e−06, A6 = −1.00301e−07, A8 = 1.22359e−09

22th surface

k = −1157.205

A4 = 2.04437e−05, A6 = 1.78478e−07, A8 = 1.96410e−10

27th surface

k = 0.320

A4 = −1.89280e−06, A6 = −5.83570e−08, A8 = 1.95523e−10

28th surface

k = −177.199

A4 = −1.76597e−05, A6 = −2.74436e−08, A8 = 1.63913e−10

29th surface

k = −1.424

A4 = −4.44964e−05, A6 = −1.14731e−07, A8 = −1.32031e−09

30th surface

k = −49.536

A4 = −3.58778e−06, A6 = −1.51652e−07, A8 = −4.21497e−10

31th surface

k = −11.097

A4 = −4.01806e−05, A6 = 5.78536e−07, A8 = −3.83048e−09

32th surface

k = −1.067

A4 = −5.14012e−05, A6 = 3.96589e−06, A8 = 5.12675e−10

33th surface

k = −84.746

A4 = −9.39725e−05, A6 = 2.40683e−06, A8 = 1.83664e−08

34th surface

k = −19.376

A4 = 3.43366e−04, A6 = 1.79039e−06, A8 = −6.69090e−09

35th surface

k = −5.308

A4 = 2.75881e−04, A6 = 2.51333e−07, A8 = 1.18669e−08

36th surface

k = −14.558

A4 = −1.72642e−04, A6 = 1.29748e−06, A8 = −2.49913e−08

Various data

NA
0.80

Magnification
−3.54

Focal length
3.60

Image height (mm)
7.39

fb (mm) (in air)
3.27

Lens total length (mm) (in air)
94.87

Example 74

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
−22.220
11.55
1.53368
55.90
0.563

2*
−110.607
0.80

3*
69.374
9.96
1.84666
23.77
0.620

4*
−55.648
11.12

5*
−53.462
3.04
1.58364
30.30
0.599

6*
−1333.696
0.30

7*
41.975
11.11
1.49700
81.61
0.538

8*
−33.586
6.66

9
−93.239
5.38
1.61800
63.33
0.544

10
−21.843
1.00
1.72047
34.71
0.583

11
39.981
13.59

12(Stop)
∞
1.53

13
−61.889
1.00
1.72047
34.71
0.583

14
50.762
5.24
1.61800
63.33
0.544

15
−54.934
0.10

16*
59.467
7.14
1.49700
81.61
0.538

17*
−66.460
0.10

18*
82.096
7.55
1.49700
81.61
0.538

19*
−54.564
3.09

20*
−64.204
3.00
1.58364
30.30
0.599

21*
444.592
8.67

22*
71.214
10.98
1.63490
23.88
0.630

23*
−83.225
28.34

24*
−67.867
6.01
1.53368
55.90
0.563

25*
−608.925
5.07

26*
−29.940
1.00
1.53368
55.90
0.563

27*
92.925
5.00

28
∞
0.30
1.51640
65.06
0.535

29
∞
6.50

Image plane
∞

Aspherical surface data

1st surface

k = −3.559

A4 = 7.43178e−07, A6 = 9.21714e−09, A8 = 5.34633e−12

2nd surface

k = −56.705

A4 = 1.26171e−05, A6 = −2.11058e−08, A8 = 1.11767e−11

3rd surface

k = −0.891

A4 = −4.74513e−07, A6 = −1.03632e−10, A8 = 4.27759e−13

4th surface

k = −2.005

A4 = −2.95949e−07, A6 = 1.71592e−09, A8 = −1.02814e−12

5th surface

k = 0.000

A4 = 1.12076e−06, A6 = −3.15698e−09, A8 = −9.10021e−12

6th surface

k = 0.000

A4 = −1.68052e−06, A6 = −2.21792e−10, A8 = −7.11388e−12

7th surface

k = −2.402

A4 = −2.97163e−07, A6 = −2.14703e−09, A8 = 5.48901e−12

8th surface

k = −3.764

A4 = −7.20305e−07, A6 = −1.04316e−09, A8 = 3.58089e−12

16th surface

k = −0.278

A4 = 9.99889e−07, A6 = −1.23318e−09, A8 = −5.26020e−13

17th surface

k = −0.949

A4 = 6.09329e−08, A6 = −2.45917e−10, A8 = 8.84736e−16

18th surface

k = 3.430

A4 = 2.90794e−08, A6 = 5.65189e−10, A8 = −6.39630e−16

19th surface

k = −2.160

A4 = −3.62571e−07, A6 = −3.42492e−09, A8 = −3.01979e−13

20th surface

k = −0.380

A4 = 9.15647e−07, A6 = −7.30470e−09, A8 = −7.03078e−13

21th surface

k = 0.000

A4 = 1.54086e−06, A6 = 1.31932e−09, A8 = 6.29723e−16

22th surface

k = −8.393

A4 = 1.48279e−07, A6 = 1.47956e−10, A8 = 2.41697e−13,

A10 = −4.40436e−16

23th surface

k = 0.000

A4 = −1.31114e−06, A6 = 1.09844e−09, A8 = −5.20796e−13,

A10 = 1.48100e−16

24th surface

k = −2.311

A4 = −2.41567e−05, A6 = 2.27044e−08, A8 = −4.28423e−11,

A10 = −3.47983e−14

25th surface

k = 0.000

A4 = −4.10895e−06, A6 = −3.67106e−09, A8 = −4.04819e−11,

A10 = −2.16188e−17

26th surface

k = 0.000

A4 = −1.11631e−06, A6 = 8.03468e−09, A8 = −1.08760e−11,

A10 = 2.40056e−17

27th surface

k = −33.623

A4 = −2.66905e−05, A6 = 4.78713e−08, A8 = −7.55486e−11,

A10 = 4.72095e−14

Various data

NA
0.23

Magnification
−1.33

Focal length
23.92

Image height(mm)
21.63

fb(mm) (in air)
11.70

Lens total length(mm) (in air)
175.01

Example 75

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
−18.167
3.69
1.53368
55.90
0.563

2*
−6801.076
0.08

3*
21.678
6.12
1.84666
23.77
0.620

4*
−284.362
0.36

5*
12.760
5.89
1.49700
81.61
0.538

6*
−83.302
2.65

7
−13.598
1.64
1.59522
67.74
0.544

8
−8.480
0.70
1.72047
34.71
0.583

9
110.487
4.96

10(Stop)
∞
0.80

11
−48.292
0.70
1.72047
34.71
0.583

12
19.168
3.57
1.61800
63.33
0.544

13
−22.873
0.05

14*
28.235
4.20
1.49700
81.61
0.538

15*
−20.667
0.05

16*
30.523
4.86
1.49700
81.61
0.538

17*
−26.992
2.22

18*
−43.570
1.92
1.58364
30.30
0.599

19*
28.439
3.33

20*
37.236
3.81
1.63490
23.88
0.630

21*
−37.308
12.91

22*
−11.417
0.70
1.53368
55.90
0.563

23*
−54.620
3.52

24*
−15.141
1.00
1.53368
55.90
0.563

25*
52.853
1.42

26
∞
0.30
1.51640
65.06
0.535

27
∞
0.50

Image plane
∞

Aspherical surface data

1st surface

k = −4.386

A4 = 8.13964e−05

2nd surface

k = −48.345

A4 = −1.43933e−04, A6 = −8.00000e−08

3rd surface

k = −0.148

A4 = 2.62435e−05, A6 = 7.46587e−08

4th surface

k = −2.471

A4 = 1.13156e−04, A6 = −3.03432e−07

5th surface

k = 0.000

A4 = −3.28501e−05

6th surface

k = 0.000

A4 = 1.86975e−04, A6 = 1.18474e−06

14th surface

k = −0.451

A4 = −7.69062e−06, A6 = −1.43734e−08

15th surface

k = −1.249

A4 = 2.02493e−05, A6 = 4.19132e−09

16th surface

k = 0.000

A4 = −8.45589e−06, A6 = 8.20795e−08

17th surface

k = −1.911

A4 = −3.58629e−05, A6 = 5.27389e−08

18th surface

k = −0.212

A4 = −6.84952e−05, A6 = −5.77815e−08

19th surface

k = 0.000

A4 = −4.80004e−05, A6 = −6.13427e−08

20th surface

k = −6.911

A4 = 3.04669e−05, A6 = −1.68754e−07

21th surface

k = 0.000

A4 = 1.99883e−06, A6 = −1.14266e−08

22th surface

k = 0.000

A4 = −3.55672e−05, A6 = 1.28738e−06

23th surface

k = 0.000

A4 = 7.71680e−05

24th surface

k = 0.000

A4 = 1.41483e−04, A6 = 1.00000e−07

25th surface

k = −200.000

A4 = −1.00622e−04, A6 = −2.32970e−07

Various data

NA
0.23

Magnification
−1.33

Focal length
8.65

Image height(mm)
10.82

fb(mm) (in air)
2.12

Lens total length(mm) (in air)
71.86

Example 76

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
−6.594
2.71
1.53368
55.90
0.563

2*
−15.141
0.05

3*
22.089
3.91
1.84666
23.77
0.620

4*
−18.712
2.70

5*
−17.254
1.10
1.58364
30.30
0.599

6*
34.657
0.11

7*
12.140
3.83
1.49700
81.61
0.538

8*
−10.668
1.93

9
−37.991
1.88
1.61800
63.33
0.544

10
−6.858
0.70
1.72047
34.71
0.583

11
12.533
3.26

12(Stop)
∞
0.31

13
−25.651
0.70
1.72047
34.71
0.583

14
12.946
2.21
1.61800
63.33
0.544

15
−21.372
0.05

16*
25.619
3.07
1.49700
81.61
0.538

17*
−16.426
0.05

18*
23.987
3.45
1.49700
81.61
0.538

19*
−18.969
0.05

20*
−67.273
1.10
1.58364
30.30
0.599

21*
23.516
0.82

22*
23.296
3.10
1.63490
23.88
0.630

23*
−29.511
11.11

24*
−16.767
0.50
1.53368
55.90
0.563

25*
−22.808
1.74

26*
−7.454
0.50
1.53368
55.90
0.563

27*
39.382
2.00

28
∞
0.40
1.51640
65.06
0.535

29
∞
2.09

Image plane
∞

Aspherical surface data

1st surface

k = −3.337

A4 = 7.81336e−05, A6 = 7.26382e−07, A8 = 2.76889e−08

2nd surface

k = −12.283

A4 = 1.65761e−04, A6 = −4.78004e−06, A8 = 1.77405e−08

3rd surface

k = −0.001

A4 = 2.82582e−06, A6 = 6.40852e−09, A8 = 4.33750e−09

4th surface

k = −3.772

A4 = 3.75820e−05, A6 = 3.81325e−07, A8 = −1.37171e−09

5th surface

k = 0.000

A4 = 7.52926e−05, A6 = −1.78578e−06, A8 = −1.36686e−08

6th surface

k = 0.000

A4 = −5.68162e−05, A6 = −5.39505e−07, A8 = −3.46650e−0

7th surface

k = −2.416

A4 = −3.38395e−05, A6 = −3.57963e−07, A8 = 2.59868e−08

8th surface

k = −4.028

A4 = 2.66890e−05, A6 = 7.32902e−07, A8 = 2.65023e−08

16th surface

k = −0.019

A4 = 8.97367e−05, A6 = −1.03233e−06, A8 = 7.72299e−09

17th surface

k = −1.855

A4 = 1.90242e−05, A6 = −6.72839e−07

18th surface

k = 0.000

A4 = 9.30171e−06, A6 = 3.12746e−07

19th surface

k = −1.268

A4 = −1.75825e−05, A6 = −1.24240e−07, A8 = 6.25523e−09

20th surface

k = 0.000

A4 = −2.42353e−06, A6 = −2.15990e−06, A8 = 7.78426e−09

21th surface

k = 0.000

A4 = 2.55273e−05, A6 = −1.61257e−08

22th surface

k = −7.622

A4 = −3.41674e−06, A6 = −3.51619e−08, A8 = 5.04095e−09,

A10 = −4.72437e−11

23th surface

k = 0.000

A4 = −8.30630e−05, A6 = 3.95126e−08, A8 = 3.41864e−09,

A10 = −2.19047e−11

24th surface

k = 0.000

A4 = −6.73311e−04, A6 = 3.53688e−06, A8 = 6.26103e−08,

A10 = −2.83370e−09

25th surface

k = −31.496

A4 = −2.03990e−04, A6 = −1.56737e−06, A8 = −7.81513e−08

26th surface

k = 0.000

A4 = 4.15201e−04, A6 = −1.51111e−06, A8 = 1.73325e−09

27th surface

k = −182.577

A4 = −7.13102e−04, A6 = 1.05027e−05, A8 = −1.26316e−07,

A10 = −4.92836e−11

Various data

NA
0.23

Magnification
−1.34

Focal length
7.83

Image height(mm)
7.46

fb(mm) (in air)
4.36

Lens total length(mm) (in air)
55.30

Example 77

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
−5.961
2.31
1.53368
55.90
0.563

2*
−24.609
0.05

3*
17.837
2.80
1.84666
23.77
0.620

4*
−14.424
1.82

5*
−15.035
0.46
1.58364
30.30
0.599

6*
3512.460
0.05

7*
9.702
3.32
1.49700
81.61
0.538

8*
−7.673
0.99

9
−31.622
1.50
1.61800
63.33
0.544

10
−5.784
0.70
1.72047
34.71
0.583

11
9.829
3.18

12(Stop)
∞
0.25

13
−19.695
0.70
1.72047
34.71
0.583

14
12.012
1.60
1.61800
63.33
0.544

15
−12.780
0.05

16*
18.475
2.02
1.49700
81.61
0.538

17*
−13.500
0.05

18*
11.482
2.43
1.49700
81.61
0.538

19*
−27.656
0.49

20*
−13.626
0.52
1.58364
30.30
0.599

21*
−361.234
1.85

22*
16.895
1.87
1.63490
23.88
0.630

23*
−23.260
5.30

24*
−7.198
0.46
1.53368
55.90
0.563

25*
−10.330
1.16

26*
−5.492
0.50
1.53368
55.90
0.563

27*
18.144
2.00

28
∞
0.30
1.51640
65.06
0.535

29
∞
0.81

Image plane
∞

Aspherical surface data

1st surface

k = −3.978

A4 = 6.83164e−05, A6 = 1.94032e−05, A8 = 1.33454e−07

2nd surface

k = −58.626

A4 = 7.53903e−04, A6 = −2.26638e−05, A8 = 1.17000e−07

3rd surface

k = −1.266

A4 = −2.77500e−05, A6 = 6.78520e−07, A8 = 4.37879e−09

4th surface

k = −3.007

A4 = 1.25194e−05, A6 = 2.27427e−06, A8 = 9.94944e−10

5th surface

k = 0.000

A4 = 1.27950e−04, A6 = −1.46201e−06, A8 = −1.05504e−07

6th surface

k = 0.000

A4 = −1.14481e−04, A6 = −3.81661e−07, A8 = −1.23805e−07

7th surface

k = −1.950

A4 = −9.72173e−06, A6 = −4.81006e−06, A8 = 1.46505e−07

8th surface

k = −4.052

A4 = 1.27783e−05, A6 = 1.17082e−06, A8 = 9.41636e−08

16th surface

k = −2.587

A4 = 7.94127e−05, A6 = 2.33251e−09, A8 = −2.69891e−08

17th surface

k = 0.444

A4 = −2.36239e−05, A6 = 3.53777e−07

18th surface

k = 0.000

A4 = 2.69183e−05, A6 = 7.42095e−07

19th surface

k = −0.016

A4 = −7.15117e−05, A6 = −3.49750e−06, A8 = −9.15827e−10

20th surface

k = −1.384

A4 = 8.37580e−05, A6 = −8.92246e−06, A8 = 7.34778e−08

21th surface

k = 0.000

A4 = 5.59543e−05, A6 = −9.82470e−07

22th surface

k = −9.050

A4 = 2.70247e−05, A6 = 7.50428e−07, A8 = −7.24965e−08,

A10 = 1.48867e−10

23th surface

k = 0.000

A4 = −3.00084e−05, A6 = −9.41421e−07, A8 = −1.23680e−08,

A10 = −4.67028e−10

24th surface

k = −0.035

A4 = −1.97646e−03, A6 = 3.98966e−05, A8 = −7.44586e−07,

A10 = −1.49643e−08

25th surface

k = 0.000

A4 = 3.47230e−05, A6 = −6.91721e−06, A8 = −6.57343e−08

26th surface

k = 0.000

A4 = 3.62836e−06, A6 = 9.62479e−06, A8 = −6.05415e−07

27th surface

k = −77.408

A4 = −1.88100e−03, A6 = 3.52845e−05, A8 = −1.48363e−06,

A10 = 1.10111e−08

Various data

NA
0.22

Magnification
−1.34

Focal length
5.46

Image height(mm)
5.33

fb(mm) (in air)
3.01

Lens total length(mm) (in air)
39.44

Example 78

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
−5.094
2.25
1.53368
55.90
0.563

2*
−21.978
0.05

3*
14.759
2.61
1.84666
23.77
0.620

4*
−12.484
1.35

5*
−12.647
0.50
1.58364
30.30
0.599

6*
−300.282
0.05

7*
8.853
2.98
1.49700
81.61
0.538

8*
−6.900
0.75

9
−25.846
1.61
1.61800
63.33
0.544

10
−5.005
0.70
1.72047
34.71
0.583

11
8.524
2.75

12(Stop)
∞
0.24

13
−16.089
0.70
1.72047
34.71
0.583

14
10.367
1.58
1.61800
63.33
0.544

15
−11.398
0.05

16*
14.113
1.91
1.49700
81.61
0.538

17*
−13.179
0.05

18*
12.193
2.41
1.49700
81.61
0.538

19*
−16.975
0.56

20*
−11.963
0.46
1.58364
30.30
0.599

21*
−1533.737
1.63

22*
14.750
1.84
1.63490
23.88
0.630

23*
−19.850
4.58

24*
−8.763
0.50
1.53368
55.90
0.563

25*
−22.584
1.25

26*
−5.430
0.50
1.53368
55.90
0.563

27*
17.171
1.00

28
∞
0.30
1.51640
65.06
0.535

29
∞
1.30

Image plane
∞

Aspherical surface data

1st surface

k = −3.753

A4 = 1.53644e−04, A6 = 3.51095e−05, A8 = 3.76371e−07

2nd surface

k = −52.983

A4 = 1.19282e−03, A6 = −4.36922e−05, A8 = 4.49809e−07

3rd surface

k = −1.023

A4 = −4.33927e−05, A6 = 1.26681e−06, A8 = 1.69670e−08

4th surface

k = −2.862

A4 = 8.92430e−06, A6 = 4.43110e−06, A8 = −2.90479e−08

5th surface

k = 0.000

A4 = 1.82796e−04, A6 = −3.80553e−06, A8 = −3.13184e−07

6th surface

k = 0.000

A4 = −1.74059e−04, A6 = −1.12245e−06, A8 = −3.34962e−07

7th surface

k = −2.012

A4 = 1.52723e−05, A6 = −8.41101e−06, A8 = 3.66174e−07

8th surface

k = −3.986

A4 = 8.69409e−06, A6 = 1.21957e−0 6, A8 = 2.32185e−07

16th surface

k = −1.895

A4 = 1.310256−04, A6 = −4.142 91e−07, A8 = −1.11771e−07

17th surface

k = −0.030

A4 = 5.119896−06, A6 = 1.41228e−06

18th surface

k = 0.000

A4 = 3.58772e−05, A6 = 3.68790e−06

19th surface

k = −0.665

A4 = −9.13946e−05, A6 = −9.02423e−06, A8 = −1.32639e−07

20th surface

k = −0.869

A4 = 9.8 6704e−05, A6 = −1.97220e−05, A8 = 3.10896e−08

21th surface

k = 0.000

A4 = 1.09340e−04, A6 = 1.74012e−06

22th surface

k = −7.881

A4 = 4.76596e−05, A6 = 1.36921e−06, A8 = −6.41081e−08,

A10 = −1.98830e−09

23th surface

k = 0.000

A4 = −1.16502e−04, A6 = −1.10099e−07, A8 = −1.34141e−08,

A10 = −1.23320e−09

24th surface

k = −0.003

A4 = −2.69363e−03, A6 = 5.72972e−05, A8 = −2.11668e−06,

A10 = −1.79590e−08

25th surface

k = 0.000

A4 = −1.49191e−04, A6 = −1.19921e−05, A8 = −8.57893e−07

26th surface

k = 0.000

A4 = −2.57594e−04, A6 = 1.16204e−05, A8 = −9.02596e−07

27th surface

k = −68.041

A4 = −2.65930e−03, A6 = 7.91869e−05, A8 = −3.96242e−06,

A10 = 4.79066e−08

Various data

NA
0.23

Magnification
−1.33

Focal length
4.88

Image height(mm)
4.75

fb(mm) (in air)
2.50

Lens total length(mm) (in air)
36.35

Example 79

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
29.347
3.01
1.84666
23.77
0.620

2*
−36.004
0.10

3
−397.741
0.70
1.65412
39.68
0.574

4
21.124
0.10

5*
19.426
4.27
1.49700
81.61
0.538

6
−31.982
0.10

7
20.342
3.53
1.49700
81.61
0.538

8*
−22.961
0.10

9
−172.666
2.93
1.61800
63.33
0.544

10
−11.505
0.70
1.72047
34.71
0.583

11
24.226
0.79

12(Stop)
∞
0.17

13
−243.374
0.70
1.90366
31.32
0.595

14
9.660
3.41
1.61800
63.33
0.544

15
−43.351
0.10

16*
11.180
4.50
1.49700
81.61
0.538

17*
−10186.757
8.48

18*
719.997
0.70
1.49700
81.61
0.538

19*
13.006
6.32

20*
13.192
3.44
1.58364
30.30
0.599

21*
−15.080
3.70

22*
−9.430
0.81
1.49700
81.61
0.538

23*
10.877
2.39

24*
−10.747
0.51
1.53368
55.90
0.563

25*
−3339.876
1.75

26
∞
0.38
1.51640
65.06
0.535

27
∞
0.50

Image plane
∞

Aspherical surface data

1st surface

k = 0.000

A4 = 1.00145e−05

2nd surface

k = 0.000

A4 = 4.66734e−05

5th surface

k = 0.699

A4 = 2.24508e−05

8th surface

k = 0.000

A4 = 8.05284e−05

16th surface

k = −0.579

A4 = 7.50799e−06

17th surface

k = 0.000

A4 = −8.03928e−05

18th surface

k = 0.000

A4 = 2.62042e−04

19th surface

k = 0.000

A4 = 2.02927e−08

20th surface

k = 0.000

A4 = 1.22996e−05

21th surface

k = 0.000

A4 = 1.31433e−04

22th surface

k = 0.000

A4 = 1.29005e−10

23th surface

k = 0.000

A4 = −8.96164e−11

24th surface

k = 0.000

A4 = 3.63415e−11

25th surface

k = 0.000

A4 = −8.06302e−04, A6 = −6.85664e−06

Various data

NA
0.38

Magnification
−2.20

Focal length
5.02

Image height(mm)
4.92

fb(mm) (in air)
2.50

Lens total length(mm) (in air)
54.08

Example 80

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1
−4.006
2.23
1.53368
55.90
0.563

2*
−5.643
0.10

3*
25.874
2.62
1.84666
23.77
0.620

4
−8.470
0.46

5
−9.951
0.50
1.58364
30.30
0.599

6
31.833
0.10

7*
15.267
2.87
1.49700
81.61
0.538

8*
−7.030
0.10

9
11.408
2.73
1.61800
63.33
0.544

10
−5.135
0.70
1.72047
34.71
0.583

11
5.898
1.39

12(Stop)
∞
0.95

13
−13.978
0.70
1.72047
34.71
0.583

14
12.361
2.62
1.61800
63.33
0.544

15
−9.042
0.05

16*
13.037
3.38
1.49700
81.61
0.538

17*
−8.022
1.85

18*
60.912
0.50
1.58364
30.30
0.599

19*
10.361
4.64

20*
7.593
2.80
1.63490
23.88
0.630

21
57.244
3.84

22
−9.323
0.50
1.53368
55.90
0.563

23
402.242
1.68

24
−6.000
0.50
1.53368
55.90
0.563

25*
39.607
0.90

26
∞
0.30
1.51640
65.06
0.535

27
∞
0.50

Image plane
∞

Aspherical surface data

2nd surface

k = 0.000

A4 = 2.35623e−04

3rd surface

k = 0.000

A4 = −2.82645e−04

7th surface

k = 0.000

A4 = −2.81954e−05

8th surface

k = 0.000

A4 = 5.97163e−04

16th surface

k = 0.000

A4 = −3.21151e−04

17th surface

k = 0.000

A4 = 4.81608e−05

18th surface

k = 0.000

A4 = 1.49059e−04

19th surface

k = 0.000

A4 = −1.11086e−04

20th surface

k = 0.000

A4 = −1.48114e−04

25th surface

k = 0.000

A4 = −8.65591e−04, A6 = −1.95796e−05

Various data

NA
0.32

Magnification
−2.00

Focal length
3.72

Image height(mm)
3.87

fb(mm) (in air)
1.60

Lens total length(mm) (in air)
39.40

Example 81

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1
−4.999
2.50
1.53368
55.90
0.563

2*
−7.791
0.10

3*
26.421
2.58
1.84666
23.77
0.620

4
−8.717
0.45

5
−16.546
0.50
1.58364
30.30
0.599

6
7.490
0.18

7*
7.494
3.51
1.49700
81.61
0.538

8*
−6.731
0.10

9
8.184
2.60
1.61800
63.33
0.544

10
−9.417
0.70
1.72047
34.71
0.583

11
5.248
1.23

12(Stop)
∞
1.08

13
−8.120
0.70
1.72047
34.71
0.583

14
263.853
2.25
1.61800
63.33
0.544

15
−8.897
0.05

16*
14.031
3.32
1.49700
81.61
0.538

17*
−8.260
0.05

18*
16.860
1.79
1.49700
81.61
0.538

19*
32.221
0.80

20*
38.453
0.50
1.58364
30.30
0.599

21*
8.351
3.63

22*
6.933
2.65
1.63490
23.88
0.630

23
26.183
4.93

24
−6.000
0.50
1.53368
55.90
0.563

25*
12.318
2.01

26
∞
0.30
1.51640
65.06
0.535

27
∞
0.50

Image plane
∞

Aspherical surface data

2nd surface

k = 0.000

A4 = 1.99427e−04

3rd surface

k = 0.000

A4 = −3.99767e−04

7th surface

k = 0.000

A4 = −2.57298e−04

8th surface

k = 0.000

A4 = 4.27793e−04

16th surface

k = 0.000

A4 = −2.36647e−04

17th surface

k = 0.000

A4 = −2.67152e−05

18th surface

k = 0.000

A4 = 2.23589e−09

19th surface

k = 0.000

A4 = −2.43051e−09

20th surface

k = 0.000

A4 = −1.76676e−04

21th surface

k = 0.000

A4 = −4.16810e−04

22th surface

k = 0.000

A4 = −2.89542e−04

25th surface

k = 0.000

A4 = −8.76890e−04, A6 = 6.34071e−06

Various data

NA
0.32

Magnification
−2.00

Focal length
4.27

Image height(mm)
3.87

fb(mm) (in air)
2.70

Lens total length(mm) (in air)
39.40

Example 82

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1
−5.000
2.61
1.53368
55.90
0.563

2*
−6.052
0.10

3*
29.971
2.45
1.84666
23.77
0.620

4
−8.900
0.10

5
−12.880
0.50
1.58364
30.30
0.599

6
15.407
0.28

7*
14.854
2.80
1.49700
81.61
0.538

8*
−7.113
0.10

9
10.444
2.55
1.61800
63.33
0.544

10
−6.908
0.70
1.72047
34.71
0.583

11
5.463
1.42

12(Stop)
∞
1.00

13
−10.334
0.70
1.72047
34.71
0.583

14
16.417
2.68
1.61800
63.33
0.544

15
−7.780
0.05

16*
12.572
3.57
1.49700
81.61
0.538

17*
−7.222
1.66

18*
−222.930
0.50
1.58364
30.30
0.599

19*
9.006
3.98

20*
7.379
2.73
1.63490
23.88
0.630

21
40.501
5.73

22
−6.000
0.50
1.53368
55.90
0.563

23*
11.000
2.01

24
∞
0.30
1.51640
65.06
0.535

25
∞
0.50

Image plane
∞

Aspherical surface data

2nd surface

k = 0.000

A4 = −1.05936e−11

3rd surface

k = 0.000

A4 = −3.54087e−04

7th surface

k = 0.000

A4 = −4.91474e−04

8th surface

k = 0.000

A4 = 2.22934e−04

16th surface

k = 0.000

A4 = −5.25327e−04

17th surface

k = 0.000

A4 = 1.12098e−04

18th surface

k = 0.000

A4 = −1.70703e−05

19th surface

k = 0.000

A4 = −4.89824e−04

20th surface

k = 0.000

A4 = −3.06971e−04

23th surface

k = 0.000

A4 = −1.00102e−03, A6 = −4.72860e−06

Various data

NA
0.32

Magnification
−2.00

Focal length
4.22

Image height(mm)
3.87

fb(mm) (in air)
2.70

Lens total length(mm) (in air)
39.40

Example 83

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
−8.255
2.60
1.53368
55.90
0.563

2*
−14.196
1.24

3*
101.410
6.01
1.84666
23.77
0.620

4*
−20.773
6.49

5*
−16.458
1.50
1.58364
30.30
0.599

6*
115.582
0.05

7*
25.167
4.74
1.49700
81.61
0.538

8*
−58.962
0.05

9*
108.206
3.90
1.49700
81.61
0.538

10*
−18.035
2.69

11
262.420
3.93
1.61800
63.33
0.544

12
−14.956
0.59
1.72047
34.71
0.583

13
30.541
6.11

14(Stop)
∞
1.38

15
−26.136
0.63
1.72047
34.71
0.583

16
63.605
2.51
1.61800
63.33
0.544

17
−37.610
0.05

18*
76.408
4.37
1.49700
81.61
0.538

19*
−22.777
0.05

20*
44.456
5.20
1.49700
81.61
0.538

21*
−44.738
3.37

22*
−32.651
0.69
1.58364
30.30
0.599

23*
−325.190
0.05

24*
27.615
4.73
1.63490
23.88
0.630

25*
−102.253
19.80

26*
−14.459
0.70
1.53368
55.90
0.563

27*
−111.000
2.16

28*
−17.656
1.10
1.53368
55.90
0.563

29*
110.376
1.20

30
∞
0.30
1.51640
65.06
0.535

31
∞
0.50

Image plane
∞

Aspherical surface data

1st surface

k = −1.539

A4 = 1.48943e−05, A6 = −3.89277e−07, A8 = −3.16495e−10

2nd surface

k = −2.553

A4 = 8.26430e−05, A6 = −3.70903e−07, A8 = −4.35290e−10

3rd surface

k = 0.000

A4 = 5.57538e−06, A6 = 3.09183e−09, A8 = −7.06884e−12

4th surface

k = −0.148

A4 = 1.09741e−05, A6 = 4.10988e−08, A8 = −1.79459e−11

5th surface

k = −0.223

A4 = 2.76548e−06, A6 = 9.37309e−08, A8 = 1.06388e−10

6th surface

k = −29.473

A4 = −5.12018e−06, A6 = −1.66723e−08, A8 = 2.66467e−10

7th surface

k = −2.649

A4 = 2.86256e−06, A6 = 6.93196e−08, A8 = 2.24500e−10

8th surface

k = 0.000

A4 = 4.46646e−06, A6 = 2.43563e−08

9th surface

k = 0.000

A4 = −6.36933e−06, A6 = −6.27240e−09

10th surface

k = −3.004

A4 = 8.21883e−06, A6 = 8.91877e−08, A8 = 6.92116e−11

18th surface

k = 0.000

A4 = 5.10610e−06, A6 = −7.42857e−08, A8 = −1.54961e−11

19th surface

k = 0.000

A4 = 3.08416e−06, A6 = 2.25200e−08, A8 = −1.04000e−10

20th surface

k = 0.000

A4 = 4.03758e−06, A6 = 3.78128e−09, A8 = −8.78028e−11

21th surface

k = 0.001

A4 = −8.30957e−06, A6 = −7.77920e−08, A8 = −7.06650e−12

22th surface

k = 0.000

A4 = 1.08913e−06, A6 = −3.06879e−08, A8 = −1.47637e−11

23th surface

k = −1487.500

A4 = 1.34349e−06, A6 = 1.87699e−08, A8 = 1.46137e−11

24th surface

k = −1.292

A4 = 4.79292e−06, A6 = 9.60595e−10, A8 = 1.17371e−10

25th surface

k = −27.655

A4 = 6.98089e−06, A6 = 1.06437e−08

26th surface

k = −0.383

A4 = −7.30149e−05, A6 = 4.72395e−07, A8 = −3.56824e−09

27th surface

k = 0.000

A4 = 3.59150e−05, A6 = −3.31847e−07, A8 = −8.89867e−10

28th surface

k = 0.000

A4 = 5.68566e−05

29th surface

k = −1058.583

A4 = −1.26430e−04, A6 = −5.45019e−09, A8 = 6.66594e−11

Various data

NA
0.33

Magnification
−1.32

Focal length
9.91

Image height(mm)
10.82

fb(mm) (in air)
1.90

Lens total length(mm) (in air)
88.59

Example 84

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1
5.522
3.32
1.49700
81.54
0.537

2
−4.753
0.70
1.72047
34.71
0.583

3
−6.534
0.05

4*
−11.725
1.03
1.53368
55.90
0.563

5*
−2.515
0.35

6*
2.408
1.07
1.58364
30.30
0.599

7*
1.032
1.34

8(Stop)
∞
−0.63

9*
2.834
1.69
1.49700
81.54
0.537

10*
−7.273
0.11

11*
−52.231
0.42
1.58364
30.30
0.599

12*
3.627
2.78

13*
−10.317
0.64
1.53368
55.90
0.563

14*
−20.884
0.43

15*
36.783
0.98
1.58364
30.30
0.599

16*
70.302
0.36

17*
−113.857
2.13
1.53368
55.90
0.563

18*
−2.520
0.73

19*
5.467
1.41
1.53368
55.90
0.563

20*
1.773
3.00

21
∞
0.30
1.51640
65.06
0.535

22
∞
2.68

Image plane
∞

Aspherical surface data

4th surface

k = −2.346

A4 = −5.47816e−04, A6 = −1.85200e−05, A8 = −1.11713e−06

5th surface

k = −4.656

A4 = −1.45735e−03, A6 = 1.26259e−04, A8 = −9.07838e−07

6th surface

k = −0.427

A4 = −1.37657e−02, A6 = 1.04387e−03, A8 = −1.43077e−04

7th surface

k = −1.871

A4 = 1.08273e−02, A6 = −1.21053e−04, A8 = −1.09274e−04

9th surface

k = −1.286

A4 = −9.36741e−04, A6 = 5.67573e−04, A8 = 9.10428e−05

10th surface

k = −2.245

A4 = −4.60559e−03, A6 = 8.95601e−04, A8 = 6.69421e−06

11th surface

k = −934.669

A4 = −1.82784e−02, A6 = 2.13051e−03, A8 = −1.14784e−04

12th surface

k = −5.112

A4 = −4.07687e−04, A6 = −4.69186e−04, A8 = 1.51357e−04

13th surface

k = −0.526

A4 = −3.38283e−04, A6 = 3.66199e−05, A8 = 6.67864e−06

14th surface

k = −0.958

A4 = 2.56611e−04, A6 = −1.97950e−05, A8 = −3.52754e−07

15th surface

k = −0.461

A4 = −4.06730e−05, A6 = 6.44269e−06, A8 = −9.11321e−07

16th surface

k = −633.160

A4 = −8.54163e−03, A6 = 7.70310e−04, A8 = −2.24802e−05

17th surface

k = −9931.442

A4 = −9.69825e−03, A6 = 9.38022e−04, A8 = −3.70711e−05

18th surface

k = −3.263

A4 = −3.49796e−03, A6 = 2.98375e−04, A8 = −1.72732e−05

19th surface

k = 0.012

A4 = −2.75744e−03, A6 = 1.27065e−04, A8 = −1.14029e−05

>20th surface

k = −2.861

A4 = −1.60534e−03, A6 = 1.89038e−04, A8 = −1.72789e−05

Various data

NA
0.42

Magnification
−2.54

Focal length
5.60

Image height(mm)
2.82

fb(mm) (in air)
5.88

Lens total length(mm) (in air)
24.78

Example 85

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
−5.514
1.29
1.53368
55.90
0.563

2*
−11.922
0.05

3*
5.778
1.67
1.63490
23.88
0.630

4*
−29.284
0.05

5*
4.017
1.87
1.49700
81.61
0.538

6*
−15.570
0.05

7
34.714
1.69
1.61800
63.33
0.544

8
−3.637
0.50
1.72047
34.71
0.583

9
6.126
0.50

10 (Stop)
∞
0.57

11
−4.026
0.50
1.72047
34.71
0.583

12
6.286
2.41
1.61800
63.33
0.544

13
−4.605
0.05

14*
4.993
3.09
1.49700
81.61
0.538

15*
−10.575
4.34

16*
−3.072
0.50
1.58364
30.30
0.599

17*
12.916
3.27

18*
34.808
2.40
1.63490
23.88
0.630

19*
−5.789
0.05

20*
5.466
3.30
1.53368
55.90
0.563

21*
2.769
2.00

22
∞
0.30
1.51640
65.06
0.535

23
∞
1.21

Image
∞

plane

Aspherical surface data

1st surface

k = −12.202

A4 = 1.84539e−03, A6 = 3.72790e−04, A8 = −1.11934e−05

2nd surface

k = −1.452

A4 = 1.42284e−04, A6 = −2.93804e−05, A8 = 1.26134e−05

3rd surface

k = −0.043

A4 = 2.43901e−04, A6 = −5.83025e−06, A8 = 2.13535e−06

4th surface

k = −234.585

A4 = 3.56864e−04, A6 = 4.51097e−05, A8 = 6.12625e−07

5th surface

k = −2.940

A4 = −8.89164e−04, A6 = −7.32674e−05, A8 = −4.90767e−06

6th surface

k = 4.395

A4 = 2.86421e−05, A6 = −8.09298e−05, A8 = −2.56197e−06

14th surface

k = −0.616

A4 = −4.85884e−04, A6 = −3.21813e−06, A8 = −2.60788e−07

15th surface

k = 0.121

A4 = 3.77898e−05, A6 = −2.13024e−05, A8 = 5.58090e−07

16th surface

k = −0.444

A4 = 2.49937e−03, A6 = −2.65748e−05, A8 = −3.54361e−06

17th surface

k = 0.000

A4 = 1.53490e−03, A6 = 1.15188e−04, A8 = −1.26803e−05

18th surface

k = −55.238

A4 = −4.63820e−04, A6 = −5.23030e−05, A8 = 4.97870e−07,

A10 = 3.80003e−08

19th surface

k = −0.135

A4 = 7.41400e−05, A6 = 7.36376e−06, A8 = −1.55794e−06,

A10 = 3.62379e−08

20th surface

k = −1.532

A4 = −8.00176e−04, A6 = 6.13990e−05, A8 = 2.02773e−06,

A10 = −7.50573e−10

21th surface

k = −0.303

A4 = −7.75557e−03, A6 = 1.59034e−05, A8 = −1.60847e−06,

A10 = −3.30506e−07

Various data

NA
0.40

Magnification
−2.58

Focal length
6.09

Image height (mm)
2.86

fb (mm) (in air)
3.40

Lens total length (mm) (in air)
31.54

Example 86

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
−2.994
0.88
1.53368
55.90
0.563

2*
−8.073
0.05

3*
6.018
1.86
1.63490
23.88
0.630

4*
−20.490
0.05

5*
3.224
2.35
1.49700
81.61
0.538

6*
−12.832
0.05

7
−29.415
1.62
1.61800
63.33
0.544

8
−3.584
0.50
1.72047
34.71
0.583

9
8.995
0.50

10 (Stop)
∞
0.63

11
−4.307
0.50
1.72047
34.71
0.583

12
7.428
2.35
1.61800
63.33
0.544

13
−4.986
0.05

14*
4.490
3.26
1.49700
81.61
0.538

15*
−11.421
3.45

16*
−3.264
0.50
1.58364
30.30
0.599

17*
16.176
2.44

18*
30.183
2.05
1.63490
23.88
0.630

19*
−5.566
0.05

20*
4.781
3.10
1.53368
55.90
0.563

21*
2.375
2.00

22
∞
0.30
1.51640
65.06
0.535

23
∞
0.80

Image
∞

plane

Aspherical surface data

1st surface

k = −3.628

A4 = 2.21200e−03, A6 = −2.31748e−04, A8 = 5.92955e−05

2nd surface

k = −4.147

A4 = 1.98768e−04, A6 = −1.64515e−04, A8 = 1.62766e−05

3rd surface

k = −0.230

A4 = 1.23394e−04, A6 = 5.43421e−06, A8 = 4.73002e−06

4th surface

k = −128.688

A4 = 2.32019e−05, A6 = 4.04905e−05, A8 = 8.00733e−06

5th surface

k = −2.606

A4 = −3.31913e−04, A6 = 5.07700e−06, A8 = −4.37050e−06

6th surface

k = 6.614

A4 = −1.77928e−04, A6 = −3.96916e−05, A8 = −5.59983e−07

14th surface

k = −0.665

A4 = −6.37173e−04, A6 = 3.43918e−06, A8 = −3.68651e−07

15th surface

k = −0.288

A4 = 6.95438e−05, A6 = −1.77347e−05, A8 = 4.94606e−07

16th surface

k = −0.710

A4 = 4.67166e−03, A6 = −3.63236e−04, A8 = 1.79484e−05

17th surface

k = −0.162

A4 = 4.32027e−03, A6 = −4.81582e−05, A8 = 5.13546e−06

18th surface

k = −0.001

A4 = −2.62657e−04, A6 = −2.72183e−04, A8 = 8.71964e−06,

A10 = 1.73439e−07

19th surface

k = 0.002

A4 = −3.81707e−04, A6 = −1.42470e−05, A8 = −2.09683e−06,

A10 = 8.83630e−08

20th surface

k = −2.233

A4 = −1.78749e−03, A6 = 1.38140e−04, A8 = 1.79702e−05,

A10 = −6.32913e−07

21th surface

k = −0.253

A4 = −1.47421e−02, A6 = 2.66260e−04, A8 = −2.46439e−06,

A10 = 3.18446e−07

Various data

NA
0.40

Magnification
−1.99

Focal length
5.65

Image height (mm)
2.30

fb (mm) (in air)
3.00

Lens total length (mm) (in air)
29.24

Example 87

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
−3.798
1.90
1.53368
55.90
0.563

2*
−6.396
0.05

3*
7.086
2.06
1.63490
23.88
0.630

4*
−9.324
0.18

5*
3.430
2.38
1.49700
81.61
0.538

6*
−13.065
0.06

7
−11.385
1.90
1.61800
63.33
0.544

8
−3.594
0.50
1.72047
34.71
0.583

9
16.094
0.33

10 (Stop)
∞
0.33

11
−16.057
0.50
1.72047
34.71
0.583

12
5.835
2.86
1.61800
63.33
0.544

13
−8.690
0.05

14*
6.232
4.02
1.49700
81.61
0.538

15*
−9.315
3.51

16*
−4.074
3.92
1.58364
30.30
0.599

17*
−8.282
2.17

18*
−13.370
2.21
1.63490
23.88
0.630

19*
−7.760
1.21

20*
3.535
3.61
1.53368
55.90
0.563

21*
1.476
4.00

22
∞
0.30
1.51640
65.06
0.535

23
∞
1.33

Image
∞

plane

Aspherical surface data

1st surface

k = −0.655

A4 = −2.80796e−04, A6 = −9.63910e−03, A8 = 4.92454e−03

2nd surface

k = 5.942

A4 = −1.18699e−02, A6 = 7.12983e−04, A8 = −1.53686e−04

3rd surface

k = −0.447

A4 = −1.97368e−04, A6 = 6.28902e−05, A8 = −7.46102e−07

4th surface

k = −16.463

A4 = 4.48373e−04, A6 = 1.18444e−04, A8 = −4.32048e−06

5th surface

k = −2.743

A4 = −6.97098e−04, A6 = −3.36286e−05, A8 = 2.94162e−07

6th surface

k = 9.641

A4 = −8.56705e−04, A6 = −1.66634e−05, A8 = 4.35943e−06

14th surface

k = −0.885

A4 = −8.82094e−04, A6 = −1.12042e−05, A8 = 6.24152e−07

15th surface

k = −0.269

A4 = 1.80079e−04, A6 = −4.28347e−05, A8 = 9.77123e−07

16th surface

k = −0.713

A4 = 4.31675e−03, A6 = −2.71566e−04, A8 = 3.38626e−06

17th surface

k = −0.493

A4 = 3.60750e−03, A6 = −1.95719e−04, A8 = 2.22810e−06

18th surface

k = −78.870

A4 = 1.08920e−03, A6 = −2.97701e−04, A8 = 1.06145e−05,

A10 = −4.47403e−07

19th surface

k = −0.052

A4 = −7.53657e−04, A6 = −8.77181e−07, A8 = −1.92215e−06,

A10 = 1.95988e−08

20th surface

k = −2.024

A4 = −4.21997e−03, A6 = 1.26487e−04, A8 = 1.39491e−05,

A10 = −4.19985e−07

21th surface

k = −0.889

A4 = −2.88436e−02, A6 = 3.04215e−03, A8 = −2.40665e−04,

A10 = 2.08658e−05

Various data

NA
0.74

Magnification
−4.18

Focal length
2.80

Image height (mm)
2.23

fb (mm) (in air)
5.53

Lens total length (mm) (in air)
39.27

Example 88

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
−2.732
1.36
1.53368
55.90
0.563

2*
−4.589
0.05

3*
7.247
1.87
1.63490
23.88
0.630

4*
−8.455
0.05

5*
3.138
2.15
1.49700
81.61
0.538

6*
−12.154
0.04

7
−15.110
1.79
1.61800
63.33
0.544

8
−3.447
0.50
1.72047
34.71
0.583

9
25.308
0.17

10 (Stop)
∞
−0.01

11
110.943
0.50
1.72047
34.71
0.583

12
4.107
2.60
1.61800
63.33
0.544

13
−9.964
0.05

14*
5.280
2.65
1.49700
81.61
0.538

15*
−11.739
3.54

16*
−3.025
2.06
1.58364
30.30
0.599

17*
−7.825
1.50

18*
−15.729
2.16
1.63490
23.88
0.630

19*
−5.597
0.34

20*
3.756
3.64
1.53368
55.90
0.563

21*
1.383
2.00

22
∞
0.30
1.51640
65.06
0.535

23
∞
1.54

Image
∞

plane

Aspherical surface data

1st surface

k = −2.227

A4 = 1.03707e−03, A6 = −3.66686e−03, A8 = 2.87380e−03

2nd surface

k = 3.573

A4 = −1.72203e−02, A6 = 2.19859e−03, A8 = −3.34713e−04

3rd surface

k = 0.001

A4 = 6.91776e−04, A6 = 2.83494e−05, A8 = 8.43494e−09

4th surface

k = −16.058

A4 = 5.58712e−04, A6 = 1.20511e−04, A8 = −1.10589e−06

5th surface

k = −3.338

A4 = −9.15433e−04, A6 = 1.68698e−05, A8 = −5.04647e−06

6th surface

k = 10.493

A4 = −4.85932e−04, A6 = −8.48143e−07, A8 = 2.87740e−06

14th surface

k = −0.972

A4 = −9.54935e−04, A6 = −1.60895e−05, A8 = 9.62636e−07

15th surface

k = 0.853

A4 = 7.88421e−05, A6 = −7.27968e−05, A8 = 1.26076e−06

16th surface

k = −0.842

A4 = 4.87822e−03, A6 = −3.71445e−04, A8 = −1.52508e−05

17th surface

k = −1.191

A4 = 3.67852e−03, A6 = −5.93789e−05, A8 = −5.04387e−06

18th surface

k = −144.172

A4 = 1.13639e−03, A6 = −4.17245e−04, A8 = 1.97474e−05,

A10 = −9.49865e−07

19th surface

k = 0.008

A4 = −8.04993e−04, A6 = 1.17608e−05, A8 = −2.70155e−06,

A10 = −3.55017e−08

20th surface

k = −2.462

A4 = −6.02434e−03, A6 = −6.10236e−07, A8 = 4.06972e−05,

A10 = −1.31050e−06

21th surface

k = −0.990

A4 = −3.54488e−02, A6 = 4.28101e−03, A8 = −2.94472e−04,

A10 = 1.55285e−05

Various data

NA
0.75

Magnification
−4.18

Focal length
1.99

Image height (mm)
2.30

fb (mm) (in air)
3.74

Lens total length (mm) (in air)
30.73

Example 89

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1*
−5.138
2.14
1.53368
55.90
0.563

2*
−6.198
0.05

3*
8.105
2.22
1.63490
23.88
0.630

4*
−11.185
0.05

5*
3.574
3.37
1.49700
81.61
0.538

6*
−13.843
0.05

7
−14.787
2.55
1.61800
63.33
0.544

8
−4.610
0.53
1.72047
34.71
0.583

9
125.202
0.12

10 (Stop)
∞
0.37

11
−29.837
0.53
1.72047
34.71
0.583

12
7.231
2.99
1.61800
63.33
0.544

13
−33.219
0.05

14*
7.572
2.49
1.49700
81.61
0.538

15*
−27.697
0.10

16*
33.001
3.56
1.49700
81.61
0.538

17*
−10.371
2.80

18*
−4.952
1.36
1.58364
30.30
0.599

19*
−14.665
3.75

20*
−17.212
2.97
1.63490
23.88
0.630

21*
−7.864
0.96

22*
3.950
4.37
1.53368
55.90
0.563

23*
1.555
3.21

24
∞
0.30
1.51640
65.06
0.535

25
∞
11.94

Image
∞

plane

Aspherical surface data

1st surface

k = −88.989

A4 = −5.99357e−03, A6 = 6.73377e−03, A8 = −4.61378e−03

2nd surface

k = 5.622

A4 = −9.89655e−03, A6 = 8.20507e−04, A8 = −1.50643e−04

3rd surface

k = −1.540

A4 = −4.59246e−04, A6 = 1.09257e−04, A8 = −3.18105e−06

4th surface

k = −25.930

A4 = 6.83244e−04, A6 = 1.11972e−04, A8 = −2.05324e−06

5th surface

k = −3.141

A4 = −3.44558e−04, A6 = −5.70704e−06, A8 = −5.53375e−08

6th surface

k = 7.221

A4 = −9.36274e−04, A6 = −1.66819e−05, A8 = 2.04119e−06

14th surface

k = −1.090

A4 = −7.88092e−04, A6 = −1.01703e−05, A8 = 3.83265e−07

15th surface

k = −24.035

A4 = 8.25593e−05, A6 = 1.53390e−06, A8 = −6.89536e−09

16th surface

k = −3.821

A4 = −3.09218e−05, A6 = 1.81194e−07, A8 = 1.48021e−07

17th surface

k = −0.514

A4 = 1.71442e−04, A6 = −2.85613e−05, A8 = 5.77601e−07

18th surface

k = −0.768

A4 = 3.97431e−03, A6 = −1.53083e−04, A8 = 1.20068e−06

19th surface

k = 0.112

A4 = 3.02336e−03, A6 = −1.24246e−04, A8 = 1.29603e−06

20th surface

k = −105.496

A4 = 7.78025e−04, A6 = −2.00034e−04, A8 = 6.78493e−06,

A10 = −2.09010e−07

21th surface

k = −0.635

A4 = −4.86148e−04, A6 = −4.19913e−07, A8 = −1.09125e−06,

A10 = 1.63697e−08

22th surface

k = −1.372

A4 = −4.25916e−03, A6 = 3.29135e−05, A8 = 1.23251e−05,

A10 = −3.44890e−07

23th surface

k = −0.921

A4 = −2.47609e−02, A6 = 1.80785e−03, A8 = −2.77502e−05,

A10 = −3.48041e−06

Various data

NA
0.95

Magnification
−8.37

Focal length
2.62

Image height (mm)
2.30

fb (mm) (in air)
15.35

Lens total length (mm) (in air)
52.72

Example 90

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1
−10.000
5.00
2.00100
29.13
0.600

2
14.403
4.74
1.90366
31.32
0.595

3
−10.848
0.13

4
19.239
3.06
1.84666
23.78
0.620

5
−35.634
2.85

6
11.706
2.97
1.49700
81.61
0.538

7
−23.462
1.87
1.72916
54.68
0.544

8
−10.000
0.50
1.76182
26.52
0.613

9
8.807
2.18

10 (Stop)
∞
0.10

11
160.537
0.50
1.84666
23.78
0.620

12
7.000
2.91
1.65160
58.55
0.542

13
−17.489
0.10

14
6.830
3.73
1.49700
81.61
0.538

15
−12.198
0.82

16
−8.988
2.29
1.72825
28.46
0.608

17
8.015
2.84

18
30.017
3.00
1.84666
23.78
0.620

19
−9.829
4.23

20
−6.731
0.50
1.43875
94.93
0.534

21
7.361
0.72

22
7.764
5.00
2.00100
29.13
0.600

23
17.906
4.14

24
∞
0.38
1.51640
65.06
0.535

25
∞
0.45

Image
∞

plane

Various data

NA
0.39

Magnification
−2.04

Focal length
10.15

Image height (mm)
2.82

fb (mm) (in air)
4.84

Lens total length (mm) (in air)
54.88

Example 91

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1
−10.000
4.63
2.00100
29.13
0.600

2
18.300
3.42
1.90366
31.32
0.595

3
−9.713
0.10

4
14.345
2.73
1.84666
23.78
0.620

5
−82.083
3.46

6
12.268
2.91
1.49700
81.61
0.538

7
−11.850
1.47
1.72916
54.68
0.544

8
−10.000
0.50
1.76182
26.52
0.613

9
9.606
2.02

10 (Stop)
∞
0.10

11
59.973
0.50
1.84666
23.78
0.620

12
7.193
2.80
1.65160
58.55
0.542

13
−15.686
0.10

14
7.063
3.37
1.49700
81.61
0.538

15
−11.667
0.75

16
−9.306
5.00
1.63980
34.46
0.592

17
6.435
4.14

18
19.482
2.64
2.00100
29.13
0.600

19
−12.687
1.49

20
−10.019
0.50
1.43875
94.93
0.534

21
6.821
0.73

22
7.316
5.00
2.00100
29.13
0.600

23
8.425
4.00

24
∞
0.30
1.51640
65.06
0.535

25
∞
0.36

Image
∞

plane

Various data

NA
0.41

Magnification
−2.04

Focal length
9.96

Image height (mm)
2.25

fb (mm) (in air)
4.55

Lens total length (mm) (in air)
52.90

Example 92

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1
−10.000
5.49
2.00100
29.13
0.600

2
−61.066
3.34
1.84666
23.78
0.620

3
−6.934
0.10

4
78.347
5.54
1.84666
23.78
0.620

5
−39.821
0.10

6
11.573
2.73
1.49700
81.61
0.538

7
43.659
0.10

8
14.320
4.05
1.69680
55.53
0.543

9
−10.443
0.50
1.72151
29.23
0.605

10
7.760
2.80

11(Stop)
∞
0.10

12
64.900
0.50
1.84666
23.78
0.620

13
7.618
3.08
1.59522
67.74
0.544

14
−124.496
0.10

15
14.276
2.92
1.49700
81.61
0.538

16
−29.492
17.45

17
35.576
8.57
1.49700
81.61
0.538

18
10.934
6.60

19
22.042
2.17
1.84666
23.78
0.620

20
−346.488
0.10

21
10.303
9.00
2.00100
29.13
0.600

22
5.000
4.00

23
∞
0.30
1.51640
65.06
0.535

24
∞
0.36

Image plane
∞

Various data

NA
0.74

Magnification
−4.09

Focal length
6.29

Image height(mm)
2.25

fb(mm) (in air)
4.56

Lens total length(mm) (in air)
79.91

Example 93

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1
−10.032
4.92
2.00100
29.13
0.600

2
19.088
3.27
1.90366
31.32
0.595

3
−9.704
0.10

4
14.300
2.59
1.84666
23.78
0.620

5
−95.704
3.79

6
13.188
2.70
1.49700
81.61
0.538

7
−11.814
1.46
1.72916
54.68
0.544

8
−10.000
0.50
1.76182
26.52
0.613

9
9.651
1.97

10(Stop)
∞
0.10

11
57.750
0.50
1.84666
23.78
0.620

12
7.886
2.63
1.65160
58.55
0.542

13
−15.437
0.10

14
6.898
3.22
1.49700
81.61
0.538

15
−12.109
0.76

16
−9.386
5.00
1.64394
31.87
0.599

17
6.269
4.13

18
19.105
2.59
1.96066
27.70
0.596

19
−12.400
1.79

20
−9.554
0.50
1.43875
94.95
0.545

21
6.985
0.72

22
7.392
5.00
2.00100
29.13
0.600

23
8.938
4.00

24
∞
0.30
1.51640
65.06
0.535

25
∞
0.35

Image plane
∞

Various data

NA
0.40

Magnification
−2.04

Focal length
9.83

Image height(mm)
2.25

fb(mm) (in air)
4.55

Lens total length(mm) (in air)
52.90

Example 94

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1
−10.000
8.75
1.84666
23.78
0.620

2
−7.538
0.10

3
−519.674
2.18
1.84666
23.78
0.620

4
−20.460
3.68

5
11.754
2.66
1.49700
81.61
0.538

6
57.369
0.10

7
12.489
3.87
1.69680
55.53
0.543

8
−10.229
0.50
1.72151
29.23
0.605

9
7.301
2.63

10(Stop)
∞
0.96

11
−31.688
0.50
1.84666
23.78
0.620

12
8.281
3.25
1.59522
67.74
0.544

13
−17.511
0.10

14
13.000
2.53
1.49700
81.61
0.538

15
−175.541
18.98

16
−115.321
0.50
1.49700
81.61
0.538

17
15.268
3.47

18
29.518
2.47
1.84666
23.78
0.620

19
−38.911
10.28

20
9.569
7.36
2.00100
29.13
0.600

21
5.000
4.46

22
∞
0.30
1.51640
65.06
0.535

23
∞
0.36

Image plane
∞

Various data

NA
0.69

Magnification
−4.09

Focal length
6.84

Image height(mm)
2.25

fb(mm) (in air)
5.02

Lens total length(mm) (in air)
79.91

Example 95

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1
−7.000
2.11
1.53368
55.90
0.563

2*
−5.323
0.10

3*
22.215
2.37
1.84666
23.77
0.620

4
−9.110
2.81

5
−5.145
0.50
1.60999
27.48
0.620

6
−11.263
0.00
1001.00000
−3.45
0.296

7
−11.263
0.20
1.63762
34.21
0.594

8
91.067
0.65

9
83.446
2.36
1.61800
63.33
0.544

10
−4.282
0.70
1.72047
34.71
0.583

11
−10.570
0.10

12(Stop)
∞
1.06

13
−11.698
0.70
1.72047
34.71
0.583

14
10.934
2.92
1.61800
63.33
0.544

15
−10.364
0.05

16*
10.909
3.56
1.49700
81.61
0.538

17*
−11.347
2.54

18*
10.087
1.66
1.58364
30.30
0.599

19*
7.386
4.73

20*
13.468
2.76
1.63490
23.88
0.630

21
−20.719
2.70

22
127.874
0.50
1.53368
55.90
0.563

23
4.905
2.69

24
−6.683
0.50
1.53368
55.90
0.563

25*
42.216
1.10

26
∞
0.30
1.51640
65.06
0.535

27
∞
0.30

Image plane
∞

Aspherical surface data

2nd surface

k = 0.000

A4 = 4.45010e−05

3rd surface

k = 0.000

A4 = 8.14332e−05

16th surface

k = 0.000

A4 = −2.69612e−04

17th surface

k = 0.000

A4 = 9.67105e−05

18th surface

k = 0.000

A4 = −2.81280e−05

19th surface

k = 0.000

A4 = 4.63309e−05

20th surface

k = 0.000

A4 = −7.88627e−05

25th surface

k = 0.000

A4 = −1.52626e−03, A6 = −3.11735e−05

Various data

NA
0.32

Magnification
−2.00

Focal length
3.75

Image height(mm)
3.87

fb(mm) (in air)
1.60

Lens total length(mm) (in air)
39.89

Example 96

Unit mm

Surface data

Surface no.
r
d
nd
νd
θgf

1
−7.000
2.16
1.53368
55.90
0.563

2*
−5.934
0.10

3*
33.139
2.32
1.84666
23.77
0.620

4
−9.292
0.10

5
−191.804
1.74
1.49700
81.61
0.538

6
−17.291
2.00

7
−5.386
0.50
1.60999
27.48
0.620

8
−11.263
0.00
1001.00000
−3.45
0.296

9
−11.263
0.20
1.63762
34.21
0.594

10
23.280
0.72

11
30.025
2.34
1.61800
63.33
0.544

12
−4.979
0.70
1.72047
34.71
0.583

13
−10.584
0.10

14 (Stop)
∞
1.07

15
−11.693
0.70
1.72047
34.71
0.583

16
12.173
2.75
1.61800
63.33
0.544

17
−10.862
0.05

18*
10.882
3.39
1.49700
81.61
0.538

19*
−11.666
2.60

20*
8.928
1.63
1.58364
30.30
0.599

21*
6.663
4.22

22*
12.130
2.64
1.63490
23.88
0.630

23
−24.243
2.64

24
−50.390
0.50
1.53368
55.90
0.563

25
5.177
2.62

26
−6.111
0.50
1.53368
55.90
0.563

27*
−7309.424
1.10

28
∞
0.30
1.51640
65.06
0.535

29
∞
0.30

Image plane
∞

Aspherical surface data

2nd surface

k = 0.000

A4 = 2.52174e−05

3rd surface

k = 0.000

A4 = 8.68592e−05

18th surface

k = 0.000

A4 = −2.56350e−04

19th surface

k = 0.000

A4 = 1.10244e−04

20th surface

k = 0.000

A4 = −1.71924e−05

21th surface

k = 0.000

A4 = 4.70589e−05

22th surface

k = 0.000

A4 = −4.16768e−05

27th surface

k = 0.000

A4 = −1.84423e−03, A6 = −2.68348e−05

Various data

NA
0.32

Magnification
−2.00

Focal length
3.71

Image height(mm)
3.87

fb(mm) (in air)
1.60

Lens total length(mm) (in air)
39.90

Next, a lens which forms the lens unit Gf and a lens which forms the lens unit Gr are shown below.

Lens unit Gf
Lens unit Gr

Example1
L1~L5
L6~L10

Example2
L1~L5
L6~L10

Example3
L1~L6
L7~L12

Example4
L1~L5
L6~L11

Example5
L1~L5
L6~L8

Example6
L1~L4
L5~L8

Example7
L1~L4
L5~L8

Next, values of conditional expressions (1) to (15) in each example are shown below. ‘-’ (hyphen) indicates that there is no corresponding arrangement or conditional expression is not satisfied. Moreover, with respect to the example 6 and the example 7, since there is no pair of lenses which satisfy conditional expression (1) to (3), description for conditional expression (1) to (3) is omitted.

Exam-
Exam-
Exam-
Exam-
Exam-

ple1
ple2
ple3
ple4
ple5

(1)r_OBf/r_TLr

r1, r21
−1
−1.085
—
—
—

r3, r19
−1
−1.010
—
—
—

r5, r17
−1
−0.952
—
—
−1

r7, r15
−1
−1.010
—
—
—

r9, r13
−1
−0.995
—
—
−1

r1, r25
—
—
−1
—
—

r3, r23
—
—
−1
—
—

r5, r21
—
—
−1
—
—

r7, r19
—
—
−1
—
—

r9, r17
—
—
−1
—
—

r11, r15
—
—
−1
—
—

r1, r23
—
—
—
−1
—

r5, r17
—
—
—
−1
—

r7, r15
—
—
—
−1
—

r9, r13
—
—
—
−1
—

(2)r_OBr/r_TLf

r2, r20
−1
−0.995
—
—
—

r4, r18
−1
−1.001
—
—
—

r6, r16
−1
−0.952
—
—
−1

r8, r14
−1
−0.990
—
—
—

r10, r12
−1
−0.926
—
—
−1

r2, r24
—
—
−1
—
—

r4, r22
—
—
−1
—
—

r6, r20
—
—
−1
—
—

r8, r18
—
—
−1
—
—

r10, r16
—
—
−1
—
—

r12, r14
—
—
−1
—
—

r2, r22
—
—
—
−1
—

r6, r16
—
—
—
−1
—

r8, r14
—
—
—
−1
—

r10, r12
—
—
—
−1
—

Exam-
Exam-
Exam-

(3)(d_OB− d_TL)/(d_OB+ d_TL)
ple1
ple2
ple3

d1, d20
0
−0.003
—

d3, d18
0
−0.005
—

d5, d16
0
0.013
—

d7, d14
0
0.003
—

d9, d12
0
0.006
—

d1, d24
—
—
0

d3, d22
—
—
0

d5, d20
—
—
0

d7, d19
—
—
0

d9, d17
—
—
0

d11, d17
—
—
0

d1, d22
—
—
—

d5, d16
—
—
—

d7, d14
—
—
—

d9, d12
—
—
—

Exam-
Exam-

(3)(d_OB− d_TL)/(d_OB+ d_TL)
ple4
ple5

d1, d20
—
—

d3, d18
—
—

d5, d16
—
0

d7, d14
—
—

d9, d12
—
0

d1, d24
—
—

d3, d22
—
—

d5, d20
—
—

d7, d19
—
—

d9, d17
—
—

d11, d17
—
—

d1, d22
0
—

d5, d16
0
—

d7, d14
0
—

d9, d12
0
—

Exam-
Exam-
Exam-
Exam-
Exam-

ple1
ple2
ple3
ple4
ple5

(4)NA
0.25
0.25
0.25
0.25
0.25

NA′
0.25
0.25
0.25
0.25
0.15

(5)β
−1.00
−0.99
−1.00
−1.00
−1.68

(6)f_OB/f_TL
1.00
1.01
1.00
1.00
0.60

(9)d₁/Σd
0.006
0.006
0.009
0.006
0.005

(7)MTF_OB
66
64
62
60
64

(8)MTF_TL
66
64
62
67
67

(10)d₂/Σd
1.35
1.35
1.28
1.33
1.26

(11)Δf/Y
0.0004
−0.0041
−0.0047
−0.0007
−0.0008

(12)θ_o
0.4
0.4
1.6
0.9
2.2

(13)Δf_cd/εd
8.40
9.90
11.20
7.70
1.70

(14)d_SHOB/d_SHTL
1.00
0.99
1.00
0.97
0.71

Exam-
Exam-

ple6
ple7

(4)NA
0.22
0.17

NA′
0.17
0.22

(5)β
−1.27
−0.79

(6)f_OB/f_TL
0.79
1.27

(9)d₁/Σd
0.024
0.024

(7)MTF_OB
61
66

(8)MTF_TL
66
61

(10)d₂/Σd
0.38
0.38

(11)Δf/Y
−0.0047
−0.0058

(12)θ_o
28.4
25.3

(13)Δf_cd/εd
2.50
2.50

(14)d_SHOB/d_SHTL
0.88
1.13

Also, values of fc/4 and fc′/4 in each example are shown below.

Exam-
Exam-
Exam-
Exam-
Exam-

ple1
ple2
ple3
ple4
ple5

Fc/4
229
229
229
229
229

Fc/4′
229
232
229
229
137

Exam-
Exam-

ple6
ple7

Fc/4
201
159

Fc/4′
159
201

Next, values of conditional expressions (15) to (57) in each example are given below. ‘-’ (hyphen) indicates that there is no corresponding arrangement or conditional expression is not satisfied.

(15), (15-1), (15-2)
β

(16)
NA

(17)
L_TL/2Y

(18)
(ΔD_G2dC+ (ΔD_G1dC× β_G2C²/

(1 + β_G2C× ΔD_G1dC/f_G2C)))/ε_d

(19)
WD/BF

(20), (20-1)
2 × (WD × tan(sin⁻¹NA) + Y_obj)/φ_s

(21)
D_max/φ_s

(22)
D_G1max/φ_s

(23), (23-1)
L_L/D_oi

(24), (24-1)
1/νd_min-1/νd_max

(25), (25-1)
D_os/D_oi

(26)
φ_G1o/(2 × Y/|β|)

(27)
BF/L_L

(28)
BF/Y

(29)
φ_G1o/R_G1o

(30)
D_G1G2/φ_s

(31), (31-1)
L_G1/L_G2

(32)
L_G1s/L_sG2

(33)
φ_G1max/φ_G2max

(34)
D_os/L_G1

(35)
D_ENP/Y

(36)
CRA_obj/CRA_img

(37), (37-1)
f_G1o/f

(38), (38-1)
R_G1o/WD

(39)
R_G2i/BF

(40)
R_G1i/D_G1is

(41)
f_G1o/f_G1

(42)
1/νd_G1min-1/νd_G1ma

(43)
1/νd_G2min-1/νd_G2max

(45)
D_p1s/L_G1s

(47)
D_noni/L_G1s

(49)
D_sDL/L_sG2

(51)
D_n1s/D_os

(53)
D_sn2/D_si

(54)
D_sn3/D_si

(55)
D_p2s/D_os

(56)
L_L/D_oi+ 0.07 × WD/BF

(57)
D_os/L_G1− 0.39 × WD/BF

Exam-
Exam-
Exam-
Exam-
Exam-

ple8
ple9
ple10
ple11
ple12

(15)
−1.04
−1.05
−1.03
−1.03
−1.05

(16)
0.15
0.21
0.15
0.15
0.18

(17)
3.6
4.2
3.6
3.6
3.6

(18)
10.74
11.51
9.01
10.78
8.52

(19)
5.80
3.94
5.80
5.80
6.91

(20)
3.54
2.91
3.64
3.64
2.93

(21)
1.18
0.92
1.21
0.98
0.53

(22)
0.25
0.44
0.21
0.23
0.05

(23)
0.51
0.63
0.51
0.51
0.58

(24)
0.02
0.02
0.02
0.02
0.03

(25)
0.64
0.62
0.64
0.64
0.66

(26)
1.36
1.62
1.37
1.43
1.42

(27)
0.14
0.12
0.14
0.14
0.09

(28)
0.88
0.88
0.88
0.88
0.59

(29)
0.64
0.61
0.65
0.90
0.14

(30)
0.39
0.38
0.37
0.29
0.29

(31)
0.75
1.06
0.76
0.71
1.00

(32)
0.79
1.06
0.79
0.75
1.07

(33)
1.61
1.51
1.66
1.54
1.59

(34)
3.11
2.03
3.08
3.13
2.40

(35)
5.50
11.95
5.85
6.43
6.26

(36)
0.25
0.13
0.24
0.22
0.20

(37)
2.64
2.49
2.54
2.11
2.29

(38)
0.80
1.46
0.80
0.60
4.80

(39)
1152.63
3.92
−13.88
4.67
19.69

(40)
5.35
5.59
5.98
6.35
4.24

(41)
1.78
1.85
1.69
1.65
1.46

(42)
0.02
0.02
0.02
0.02
0.03

(43)
0.02
0.02
0.02
0.02
0.03

(45)
—
—
—
—
1.00

(47)
—
—
—
—
0.70

(49)
—
—
—
—
—

(51)
0.06
0.05
0.05
0.05
0.05

(53)
0.07
0.09
0.07
0.05
0.04

(54)
0.80
0.80
0.80
0.80
0.84

(55)
0.35
0.53
0.35
0.35
0.45

(56)
0.92
0.91
0.92
0.92
1.07

(57)
0.85
0.49
0.82
0.87
−0.29

Exam-
Exam-
Exam-
Exam-
Exam-

ple13
ple14
ple15
ple16
ple17

(15)
−1.05
−1.05
−1.05
−1.05
−1.05

(16)
0.13
0.14
0.21
0.18
0.20

(17)
3.5
3.7
4.5
4.4
4.1

(18)
6.04
6.34
10.28
8.68
11.52

(19)
7.28
7.67
4.83
3.95
4.59

(20)
4.19
3.70
2.57
3.46
3.09

(21)
1.01
0.75
0.66
1.30
1.03

(22)
0.08
0.11
0.34
0.02
0.24

(23)
0.57
0.55
0.68
0.64
0.60

(24)
0.03
0.03
0.03
0.03
0.02

(25)
0.65
0.68
0.54
0.54
0.56

(26)
1.20
1.32
1.47
1.36
1.52

(27)
0.09
0.10
0.08
0.11
0.12

(28)
0.59
0.64
0.67
0.88
0.88

(29)
0.24
0.26
0.79
0.29
0.47

(30)
0.35
0.33
0.66
0.37
0.41

(31)
0.84
0.98
0.67
0.65
0.60

(32)
0.88
1.03
0.66
0.67
0.62

(33)
1.28
1.47
1.06
1.14
1.31

(34)
2.60
2.61
2.19
2.23
2.68

(35)
5.88
6.91
6.85
6.30
5.97

(36)
0.21
0.19
0.22
0.27
0.27

(37)
2.08
1.93
6.36
5.23
2.43

(38)
2.27
1.99
1.09
2.62
1.52

(39)
6.50
9.05
12.80
3.25
156.92

(40)
5.55
5.34
4.06
5.65
4.77

(41)
1.54
1.55
3.77
4.43
1.81

(42)
0.03
0.03
0.03
0.03
0.02

(43)
0.03
0.03
0.02
0.02
0.02

(45)
1.00
1.00
1.00
1.00
—

(47)
0.68
0.71
—
—
—

(49)
—
—
—
—
—

(51)
0.05
0.05
0.07
0.05
0.07

(53)
0.13
—
0.13
0.05
0.11

(54)
0.85
0.84
0.88
0.84
0.84

(55)
0.41
0.41
0.50
0.48
0.41

(56)
1.08
1.08
1.02
0.92
0.92

(57)
−0.23
−0.38
0.31
0.69
0.89

Exam-
Exam-
Exam-
Exam-
Exam-

ple18
ple19
ple20
ple21
ple22

(15)
−1.04
−1.00
−1.33
−1.33
−1.33

(16)
0.15
0.15
0.23
0.23
0.23

(17)
3.6
4.3
3.7
6.1
4.5

(18)
8.44
−1.96
3.68
4.38
7.50

(19)
5.80
14.66
7.34
15.71
20.84

(20)
2.91
3.25
2.49
2.51
2.23

(21)
0.60
0.78
1.02
1.96
0.56

(22)
0.02
0.50
0.13
0.01
0.07

(23)
0.51
0.58
0.69
0.65
0.58

(24)
0.02
0.02
0.03
0.03
0.03

(25)
0.63
0.66
0.54
0.52
0.62

(26)
1.37
1.48
1.57
2.47
2.48

(27)
0.14
0.05
0.05
0.03
0.03

(28)
0.88
0.38
0.38
0.39
0.29

(29)
0.64
0.92
0.35
0.49
0.93

(30)
0.60
0.24
0.42
0.29
0.07

(31)
0.55
0.76
0.63
0.37
0.55

(32)
0.74
0.82
0.65
0.39
0.59

(33)
1.74
1.56
1.21
1.32
1.85

(34)
3.93
2.71
2.19
3.11
3.07

(35)
5.45
8.40
5.33
6.28
5.18

(36)
0.22
0.18
0.21
0.21
0.26

(37)
2.48
7.65
2.11
2.30
3.80

(38)
0.80
0.57
2.38
1.24
0.66

(39)
−3.99
29134.52
−37.68
8.81
−14.44

(40)
2.83
13.46
6.90
5.27
15.92

(41)
1.25
4.74
1.03
1.73
2.37

(42)
0.02
0.02
0.03
0.03
0.03

(43)
0.02
0.02
0.03
0.03
0.02

(45)
—
1.00
1.00
1.00
1.00

(47)
—
0.77
0.61
0.71
0.73

(49)
—
—
—
—
—

(51)
0.11
0.05
0.07
0.05
0.04

(53)
0.04
0.03
0.09
0.04
0.02

(54)
0.80
0.92
0.92
0.96
0.95

(55)
0.34
0.40
0.50
0.35
0.35

(56)
0.92
1.61
1.20
1.75
2.03

(57)
1.67
−3.01
−0.67
−3.02
−5.05

Exam-
Exam-
Exam-
Exam-
Exam-

ple23
ple24
ple25
ple26
ple27

(15)
−1.33
−2.20
−2.55
−2.55
−2.55

(16)
0.23
0.38
0.43
0.40
0.40

(17)
4.6
5.5
5.6
5.2
5.2

(18)
4.83
7.31
8.28
15.29
15.98

(19)
13.36
6.01
3.71
8.73
7.43

(20)
2.27
1.52
1.26
1.37
1.41

(21)
0.66
0.74
1.04
0.86
0.93

(22)
0.01
0.01
0.06
0.05
0.03

(23)
0.57
0.74
0.78
0.74
0.73

(24)
0.03
0.03
0.03
0.03
0.03

(25)
0.62
0.46
0.41
0.47
0.46

(26)
2.49
3.73
3.70
4.37
4.38

(27)
0.05
0.05
0.06
0.04
0.04

(28)
0.46
0.53
0.63
0.37
0.43

(29)
0.86
0.57
0.44
0.47
0.47

(30)
0.09
0.08
0.09
0.03
0.04

(31)
0.59
0.44
0.43
0.47
0.45

(32)
0.63
0.46
0.44
0.46
0.45

(33)
1.79
1.27
1.09
1.34
1.35

(34)
2.99
2.07
1.79
2.01
2.05

(35)
5.53
5.31
4.99
4.22
4.18

(36)
0.23
0.16
0.14
0.20
0.18

(37)
−48.46
3.89
3.89
5.56
6.66

(38)
0.71
1.86
2.82
2.26
2.26

(39)
−14.49
−1270.10
12.52
−12.86
−22.66

(40)
15.35
30.48
142.69
−13851.56
−953.80

(41)
−29.10
1.39
1.22
2.03
2.35

(42)
0.03
0.03
0.03
0.03
0.03

(43)
0.02
0.02
0.02
0.02
0.02

(45)
0.96
1.00
1.00
1.00
1.00

(47)
0.90
0.72
0.73
0.79
—

(49)
—
—
—
—
—

(51)
0.04
0.05
0.05
0.02
0.02

(53)
0.02
0.02
0.03
0.03
0.03

(54)
0.92
0.93
0.92
0.95
0.94

(55)
0.34
0.51
0.58
0.50
0.49

(56)
1.51
1.16
1.04
1.35
1.25

(57)
−2.23
−0.28
0.35
−1.40
−0.85

Exam-
Exam-
Exam-
Exam-
Exam-

ple28
ple29
ple30
ple31
ple32

(15)
−1.60
−1.56
−1.55
−2.00
−2.00

(16)
0.40
0.31
0.31
0.20
0.23

(17)
5.2
5.2
5.2
4.0
4.6

(18)
14.82
10.68
9.97
13.17
12.33

(19)
8.86
8.88
8.96
8.42
8.45

(20)
1.50
1.65
1.68
2.02
1.98

(21)
0.47
0.63
0.81
0.79
1.15

(22)
0.03
0.05
0.06
0.02
0.04

(23)
0.73
0.73
0.73
0.61
0.60

(24)
0.03
0.03
0.03
0.03
0.03

(25)
0.46
0.47
0.45
0.51
0.53

(26)
3.06
2.31
2.34
2.14
2.94

(27)
0.04
0.04
0.04
0.07
0.07

(28)
0.37
0.37
0.37
0.51
0.60

(29)
0.72
0.57
0.74
0.47
0.80

(30)
0.05
0.10
0.08
0.05
0.02

(31)
0.43
0.47
0.41
0.34
0.37

(32)
0.42
0.46
0.41
0.36
0.39

(33)
1.20
1.13
1.08
1.14
1.59

(34)
2.08
2.04
2.16
3.34
3.24

(35)
3.79
4.22
3.96
2.46
3.54

(36)
0.20
0.19
0.20
0.32
0.27

(37)
6.81
6.71
6.11
7.21
4.16

(38)
1.63
1.60
1.23
1.06
0.72

(39)
10.52
9.98
11.07
16.38
−2.99

(40)
185.32
−988.41
−327.47
40.51
49.74

(41)
2.91
2.82
2.61
3.98
3.64

(42)
0.03
0.03
0.03
0.03
0.03

(43)
0.02
0.02
0.02
0.02
0.02

(45)
1.00
1.00
1.00
1.00
1.00

(47)
—
—
—
—
—

(49)
—
—
—
—
—

(51)
0.02
0.02
0.03
0.04
0.03

(53)
0.04
0.05
0.04
0.02
0.01

(54)
0.95
0.95
0.95
0.72
0.70

(55)
0.48
0.49
0.47
0.32
0.32

(56)
1.35
1.36
1.36
1.20
1.19

(57)
−1.38
−1.42
−1.34
0.05
−0.05

Exam-
Exam-
Exam-
Exam-
Exam-

ple33
ple34
ple35
ple36
ple37

(15)
−1.33
−1.33
−1.33
−1.33
−1.33

(16)
0.23
0.23
0.23
0.23
0.23

(17)
4.5
4.7
4.8
4.9
5.0

(18)
7.72
2.62
3.45
4.97
2.00

(19)
5.75
12.05
10.55
4.40
13.69

(20)
2.35
2.55
2.55
2.53
2.56

(21)
0.64
0.89
0.88
0.86
0.89

(22)
0.01
0.16
0.16
0.15
0.14

(23)
0.52
0.72
0.72
0.69
0.73

(24)
0.03
0.03
0.03
0.03
0.03

(25)
0.64
0.54
0.54
0.54
0.53

(26)
2.57
1.78
1.81
1.83
1.83

(27)
0.13
0.03
0.03
0.08
0.03

(28)
1.06
0.27
0.31
0.75
0.24

(29)
0.94
0.43
0.42
0.37
0.39

(30)
0.06
0.26
0.37
0.38
0.37

(31)
0.77
0.61
0.62
0.69
0.61

(32)
0.83
0.63
0.65
0.72
0.63

(33)
1.97
1.15
1.16
1.10
1.11

(34)
2.86
2.04
2.05
2.02
2.03

(35)
7.17
8.17
9.29
9.68
9.74

(36)
0.20
0.14
0.13
0.15
0.16

(37)
4.03
1.99
1.95
1.58
1.63

(38)
0.67
1.88
1.98
2.27
2.15

(39)
4.67
20.40
13.06
3.44
84.44

(40)
14.22
8.78
6.88
7.05
6.82

(41)
2.63
1.14
1.15
1.19
1.15

(42)
0.03
0.03
0.03
0.03
0.03

(43)
0.02
0.03
0.03
0.03
0.03

(45)
1.00
1.00
1.00
1.00
1.00

(47)
0.74
0.65
0.64
0.66
0.66

(49)
—
—
—
—
—

(51)
0.03
0.05
0.06
0.06
0.06

(53)
0.01
0.04
0.05
0.06
0.06

(54)
0.80
0.95
0.95
0.88
0.88

(55)
0.37
0.52
0.53
0.53
0.53

(56)
0.93
1.56
1.46
1.00
1.69

(57)
0.62
−2.66
−2.07
0.30
−3.31

Exam-
Exam-
Exam-
Exam-
Exam-

ple38
ple39
ple40
ple41
ple42

(15)
−1.33
−1.30
−1.30
−1.32
−1.32

(16)
0.23
0.23
0.23
0.23
0.23

(17)
5.4
4.9
4.8
4.5
4.5

(18)
4.49
14.80
12.59
0.65
0.40

(19)
5.80
7.71
7.83
6.54
6.33

(20)
2.51
2.26
2.30
1.66
1.63

(21)
0.70
0.52
0.45
0.72
0.74

(22)
0.04
0.19
0.20
0.71
0.74

(23)
0.67
0.70
0.71
0.76
0.76

(24)
0.03
0.02
0.02
0.03
0.03

(25)
0.55
0.58
0.60
0.56
0.56

(26)
2.06
1.88
1.90
1.59
1.52

(27)
0.07
0.05
0.05
0.04
0.04

(28)
0.74
0.45
0.43
0.37
0.37

(29)
0.31
0.94
1.03
0.44
0.27

(30)
0.33
0.13
0.28
0.28
0.14

(31)
0.63
0.81
0.92
0.80
0.83

(32)
0.66
0.82
0.93
0.87
0.86

(33)
1.31
1.12
1.26
1.31
1.28

(34)
2.22
1.88
1.84
1.77
1.65

(35)
8.79
8.44
10.70
9.76
8.07

(36)
0.20
0.34
0.28
0.11
0.13

(37)
1.65
2.58
1.56
−17.82
2.90

(38)
2.36
0.88
0.84
2.24
3.64

(39)
4.40
8.68
9.57
9.83
9.82

(40)
6.60
−6028.80
17.96
14.50
161.18

(41)
1.21
2.66
1.42
−5.68
0.99

(42)
0.03
0.02
0.02
0.03
0.03

(43)
0.03
0.02
0.02
0.03
0.03

(45)
1.00
—
—
0.95
1.00

(47)
0.69
—
—
0.37
0.41

(49)
—
—
—
—
—

(51)
0.05
0.06
0.04
0.09
0.09

(53)
0.05
0.25
0.26
0.04
0.04

(54)
0.89
0.92
0.92
0.93
0.93

(55)
0.49
0.55
0.57
0.59
0.63

(56)
1.08
1.24
1.26
1.21
1.20

(57)
−0.04
−1.13
−1.22
−0.78
−0.81

Exam-
Exam-
Exam-
Exam-
Exam-

ple43
ple44
ple45
ple46
ple47

(15)
−1.33
−1.33
−1.33
−1.33
−1.33

(16)
0.23
0.23
0.23
0.20
0.23

(17)
5.0
5.0
5.0
5.0
5.0

(18)
4.40
4.37
5.34
4.33
6.79

(19)
10.74
8.43
8.41
8.41
8.39

(20)
2.54
2.49
2.31
2.45
2.47

(21)
0.89
1.61
2.27
2.76
0.82

(22)
0.13
0.12
0.09
0.17
0.08

(23)
0.73
0.73
0.73
0.73
0.73

(24)
0.03
0.03
0.03
0.03
0.03

(25)
0.52
0.51
0.48
0.48
0.53

(26)
1.78
1.75
1.65
1.50
1.80

(27)
0.03
0.04
0.04
0.04
0.04

(28)
0.30
0.38
0.38
0.38
0.38

(29)
0.40
0.35
0.16
0.16
0.25

(30)
0.37
0.32
0.33
0.35
0.66

(31)
0.59
0.55
0.47
0.44
0.63

(32)
0.60
0.57
0.50
0.47
0.65

(33)
1.03
1.10
1.10
1.02
1.05

(34)
2.00
2.05
2.18
2.23
2.06

(35)
8.38
7.21
5.10
4.92
9.56

(36)
0.14
0.15
0.20
0.20
0.12

(37)
1.74
1.72
1.96
1.96
1.81

(38)
2.05
2.30
4.74
4.49
3.37

(39)
22.06
9.97
9.04
8.98
10.58

(40)
9.42
7.85
5.84
5.69
4.88

(41)
1.20
1.15
1.09
1.04
1.24

(42)
0.03
0.03
0.03
0.03
0.03

(43)
0.03
0.03
0.03
0.03
0.03

(45)
1.00
1.00
1.00
1.00
1.00

(47)
0.67
0.66
0.65
0.62
0.65

(49)
—
—
—
—
—

(51)
0.05
0.05
0.06
0.06
0.08

(53)
0.06
0.05
0.05
0.04
0.09

(54)
0.95
0.94
0.94
0.94
0.94

(55)
0.53
0.52
0.50
0.49
0.54

(56)
1.48
1.32
1.32
1.32
1.32

(57)
−2.19
−1.24
−1.09
−1.05
−1.21

Exam-
Exam-
Exam-
Exam-
Exam-

ple48
ple49
ple50
ple51
ple52

(15)
−1.33
−1.33
−1.40
−1.33
−1.40

(16)
0.20
0.20
0.17
0.20
0.17

(17)
5.0
5.0
5.8
5.7
5.9

(18)
7.70
7.79
1.61
3.08
1.10

(19)
8.50
8.49
3.05
2.84
2.57

(20)
2.37
2.12
2.29
2.18
2.23

(21)
1.45
1.67
0.97
0.47
0.79

(22)
0.06
0.10
0.36
0.28
0.33

(23)
0.72
0.72
0.52
0.52
0.51

(24)
0.03
0.03
0.03
0.03
0.03

(25)
0.55
0.57
0.61
0.63
0.61

(26)
1.65
1.65
2.10
2.31
2.11

(27)
0.04
0.04
0.22
0.24
0.27

(28)
0.38
0.38
2.11
2.21
2.52

(29)
0.00
−0.02
0.28
0.35
0.29

(30)
1.45
1.67
0.13
0.12
0.12

(31)
0.66
0.75
0.89
1.05
0.99

(32)
0.71
0.80
0.92
1.11
1.02

(33)
1.15
1.35
1.44
1.67
1.49

(34)
2.32
2.39
2.53
2.43
2.47

(35)
9.80
10.26
6.96
7.76
6.93

(36)
0.12
0.12
0.28
0.26
0.28

(37)
2.31
2.62
1.80
1.99
1.73

(38)
−2459.34
−47.39
1.66
1.56
1.62

(39)
16.97
−272.93
1.12
1.73
1.18

(40)
2.48
2.43
13.27
9.52
13.77

(41)
1.35
1.30
1.62
1.68
1.60

(42)
0.03
0.03
0.03
0.03
0.03

(43)
0.03
0.03
0.02
0.02
0.02

(45)
1.00
1.00
1.00
1.00
1.00

(47)
0.59
0.55
0.68
0.64
0.68

(49)
—
—
—
—
—

(51)
0.14
0.17
0.03
0.03
0.03

(53)
0.17
0.22
0.03
0.02
0.02

(54)
0.94
0.93
0.70
0.66
0.65

(55)
0.55
0.57
0.41
0.43
0.42

(56)
1.32
1.32
0.74
0.72
0.69

(57)
−0.99
−0.92
1.34
1.33
1.47

Exam-
Exam-
Exam-
Exam-
Exam-

ple53
ple54
ple55
ple56
ple57

(15)
−1.40
−1.40
−1.10
−1.56
−1.60

(16)
0.17
0.17
0.23
0.20
0.20

(17)
5.7
5.9
4.6
4.6
4.7

(18)
1.55
1.10
16.84
−0.34
−4.26

(19)
2.24
2.57
11.88
13.08
7.02

(20)
2.20
2.23
2.77
2.20
1.94

(21)
0.80
0.79
0.31
1.01
0.98

(22)
0.28
0.33
0.03
0.10
0.14

(23)
0.48
0.51
0.53
0.62
0.61

(24)
0.03
0.03
0.03
0.02
0.03

(25)
0.59
0.61
0.68
0.57
0.51

(26)
2.01
2.11
2.50
2.22
2.04

(27)
0.33
0.27
0.07
0.04
0.08

(28)
2.82
2.52
0.58
0.39
0.69

(29)
0.20
0.29
0.86
0.61
0.85

(30)
0.12
0.12
0.13
0.21
0.05

(31)
0.90
0.99
0.80
0.51
0.38

(32)
0.94
1.02
0.89
0.55
0.40

(33)
1.44
1.49
2.25
1.53
1.36

(34)
2.64
2.47
2.94
2.85
3.07

(35)
5.50
6.93
10.06
6.49
3.36

(36)
0.35
0.28
0.19
0.15
0.23

(37)
1.60
1.73
12.47
9.82
4.78

(38)
2.26
1.62
0.77
0.93
0.63

(39)
13.33
1.18
8.21
10.05
2.92

(40)
14.46
13.77
6.80
26.71
59.95

(41)
1.60
1.60
10.30
6.18
3.14

(42)
0.03
0.03
0.03
0.02
0.03

(43)
0.02
0.02
0.02
0.02
0.02

(45)
1.00
1.00
1.00
1.00
0.45

(47)
0.68
0.68
—
0.77
0.26

(49)
—
—
—
—
—

(51)
0.03
0.03
0.04
0.05
0.03

(53)
0.02
0.02
0.01
0.04
0.02

(54)
0.61
0.65
0.89
0.94
0.90

(55)
0.40
0.42
0.37
0.38
0.34

(56)
0.64
0.69
1.37
1.53
1.10

(57)
1.77
1.47
−1.70
−2.25
0.33

Exam-
Exam-
Exam-
Exam-
Exam-

ple58
ple59
ple60
ple61
ple62

(15)
−1.33
−1.33
−1.33
−3.57
−3.56

(16)
0.23
0.23
0.23
0.60
0.60

(17)
5.5
5.6
5.6
5.5
5.5

(18)
8.68
−0.12
1.62
4.121
2.714

(19)
7.46
7.70
8.43
0.12
0.14

(20)
2.18
2.19
1.98
0.57
0.58

(21)
0.82
0.75
0.79
0.80
0.79

(22)
0.14
0.03
0.03
0.01
0.01

(23)
0.60
0.60
0.61
0.84
0.84

(24)
0.03
0.03
0.03
0.030
0.030

(25)
0.59
0.58
0.58
0.31
0.31

(26)
2.61
2.57
2.51
1.30
1.32

(27)
0.08
0.08
0.07
0.17
0.16

(28)
0.81
0.79
0.72
1.59
1.53

(29)
0.83
0.86
0.60
−0.67
−0.69

(30)
0.26
0.16
0.11
0.21
0.20

(31)
0.63
0.59
0.54
0.51
0.50

(32)
0.67
0.62
0.59
0.53
0.53

(33)
1.64
1.60
1.51
0.77
0.78

(34)
2.71
2.66
2.77
1.13
1.13

(35)
8.99
7.42
6.89
3.20
3.18

(36)
0.15
0.18
0.19
0.41
0.40

(37)
3.32
3.00
3.04
−2.51
−2.50

(38)
0.78
0.74
1.04
−5.56
−5.20

(39)
6.02
2.79
4.50
0.31
0.32

(40)
6.92
16.02
7.56
9.68
10.43

(41)
1.79
1.97
1.70
−2.20
−2.16

(42)
0.03
0.03
0.03
0.03
0.03

(43)
0.02
0.02
0.02
0.03
0.03

(45)
1.00
1.00
0.39
0.74
0.75

(47)
0.66
0.73
0.68
0.44
0.45

(49)
0.83
0.26
—
—
—

(51)
0.05
0.03
0.04
0.08
0.07

(53)
0.04
0.04
0.01
0.02
0.02

(54)
0.88
0.89
0.90
0.79
0.80

(55)
0.40
0.40
0.39
0.70
0.70

(56)
1.12
1.14
1.20
0.85
0.85

(57)
−0.19
−0.34
−0.51
1.08
1.08

Exam-
Exam-
Exam-
Exam-
Exam-

ple63
ple64
ple65
ple66
ple67

(15)
−3.56
−3.56
−3.56
−3.56
−3.55

(16)
0.60
0.60
0.60
0.60
0.60

(17)
6.2
6.1
5.8
5.9
5.5

(18)
2.887
3.456
1.820
2.639
4.128

(19)
0.16
0.15
0.13
0.19
0.14

(20)
0.53
0.51
0.55
0.58
0.58

(21)
1.85
1.84
0.80
0.80
0.78

(22)
0.01
0.01
0.01
0.01
0.01

(23)
0.89
0.90
0.85
0.86
0.84

(24)
0.030
0.030
0.030
0.030
0.030

(25)
0.29
0.29
0.32
0.31
0.31

(26)
1.32
1.27
1.33
1.49
1.32

(27)
0.10
0.09
0.15
0.14
0.16

(28)
1.16
1.06
1.53
1.47
1.55

(29)
−0.50
−0.46
−0.66
−0.65
−0.69

(30)
0.18
0.19
0.23
0.18
0.22

(31)
0.44
0.43
0.51
0.48
0.49

(32)
0.45
0.45
0.54
0.50
0.52

(33)
0.78
0.76
0.82
0.86
0.78

(34)
1.11
1.10
1.13
1.14
1.14

(35)
3.26
3.07
3.81
3.20
3.22

(36)
0.32
0.31
0.32
0.36
0.41

(37)
−5.18
−6.53
−2.68
−3.08
−2.46

(38)
−7.97
−9.78
−5.56
−4.54
−5.14

(39)
0.45
0.48
0.34
0.38
0.32

(40)
12.25
11.51
9.32
12.61
9.00

(41)
−3.88
−4.55
−2.24
−2.35
−2.12

(42)
0.03
0.03
0.03
0.03
0.03

(43)
0.03
0.03
0.03
0.03
0.03

(45)
0.70
0.69
0.75
0.75
0.75

(47)
—
—
0.44
0.44
0.44

(49)
—
—
—
—
—

(51)
0.07
0.07
0.09
0.07
0.08

(53)
0.03
0.02
0.03
0.03
0.02

(54)
0.87
0.88
0.81
0.83
0.80

(55)
0.67
0.65
0.71
0.69
0.70

(56)
0.90
0.91
0.86
0.87
0.85

(57)
1.04
1.04
1.08
1.06
1.09

Exam-
Exam-
Exam-
Exam-
Exam-

ple68
ple69
ple70
ple71
ple72

(15)
−3.51
−3.51
−3.55
−3.53
−3.56

(16)
0.60
0.59
0.62
0.60
0.81

(17)
4.7
4.0
4.3
4.2
20.0

(18)
5.676
−2.165
2.520
−4.024
16.232

(19)
0.43
0.44
0.41
0.43
0.06

(20)
0.47
0.59
0.55
0.56
0.15

(21)
0.53
0.68
0.72
0.70
1.29

(22)
0.03
0.04
0.07
0.13
0.03

(23)
0.97
0.95
0.95
0.95
0.94

(24)
0.030
0.030
0.030
0.030
0.030

(25)
0.34
0.34
0.30
0.32
0.26

(26)
1.13
1.21
1.23
1.22
1.60

(27)
0.02
0.04
0.04
0.04
0.06

(28)
0.20
0.30
0.30
0.30
2.37

(29)
−0.21
−0.25
−0.15
−0.23
−0.20

(30)
0.06
0.09
0.04
0.02
0.15

(31)
0.49
0.47
0.42
0.45
0.37

(32)
0.52
0.52
0.43
0.48
0.38

(33)
0.80
0.84
0.69
0.73
0.80

(34)
1.09
1.14
1.07
1.10
1.05

(35)
4.29
3.54
3.75
3.97
9.28

(36)
0.19
0.20
0.24
0.23
0.31

(37)
−3.19
−3.97
−5.93
−4.70
−15.07

(38)
−36.12
−20.98
−38.61
−23.70
−31.38

(39)
12.39
4.04
−43.59
−17.45
0.60

(40)
−32.00
29.54
3950.63
82.32
41.33

(41)
−0.90
−1.09
−1.81
−1.34
−11.72

(42)
0.03
0.03
0.03
0.03
0.03

(43)
0.03
0.03
0.03
0.03
0.03

(45)
0.50
0.47
0.43
0.45
0.64

(47)
0.86
0.90
0.96
0.94
—

(49)
—
—
—
—
—

(51)
0.14
0.09
0.04
0.06
0.05

(53)
0.14
0.08
0.16
0.11
0.02

(54)
0.97
0.94
0.95
0.95
0.92

(55)
0.82
0.76
0.76
0.77
0.63

(56)
1.00
0.98
0.98
0.98
0.94

(57)
0.92
0.97
0.92
0.93
1.03

Exam-
Exam-
Exam-
Exam-
Exam-

ple73
ple74
ple75
ple76
ple77

(15)
−3.54
−1.33
−1.33
−1.34
−1.34

(16)
0.80
0.23
0.23
0.23
0.22

(17)
6.4
4.0
3.3
3.7
3.7

(18)
14.496
5.058
9.279
1.986
2.892

(19)
0.38
0.98
2.77
1.02
0.89

(20)
0.37
1.52
1.91
1.78
1.79

(21)
0.51
1.13
1.29
1.49
1.03

(22)
0.01
0.44
0.26
0.36
0.35

(23)
0.95
0.87
0.89
0.85
0.86

(24)
0.030
0.030
0.030
0.030
0.030

(25)
0.32
0.46
0.41
0.45
0.47

(26)
1.66
1.08
1.18
1.10
1.08

(27)
0.04
0.07
0.03
0.09
0.09

(28)
0.46
0.55
0.21
0.60
0.58

(29)
−0.17
−1.58
−1.05
−1.85
−1.45

(30)
0.00
0.60
0.58
0.48
0.66

(31)
0.47
0.70
0.49
0.66
0.74

(32)
0.47
0.84
0.60
0.77
0.89

(33)
0.74
1.14
1.01
1.16
1.18

(34)
1.05
1.41
1.53
1.41
1.43

(35)
6.37
4.25
3.26
3.76
4.20

(36)
0.10
0.21
0.20
0.21
0.21

(37)
−17.56
−2.28
−3.95
−3.14
−2.82

(38)
−31.36
−1.92
−2.96
−1.44
−2.15

(39)
3.03
7.87
23.82
8.76
5.83

(40)
−9696.32
2.94
22.27
3.84
3.10

(41)
−5.11
−0.58
−0.65
−0.76
−0.85

(42)
0.03
0.03
0.03
0.03
0.03

(43)
0.03
0.03
0.03
0.03
0.03

(45)
0.35
0.83
0.86
0.88
0.86

(47)
0.97
0.36
—
0.40
0.37

(49)
—
—
—
—
—

(51)
0.02
0.17
0.18
0.15
0.19

(53)
0.13
0.03
0.03
0.03
0.04

(54)
0.95
0.88
0.95
0.86
0.86

(55)
0.80
0.72
0.69
0.73
0.74

(56)
0.98
0.94
1.09
0.92
0.92

(57)
0.90
1.03
0.45
1.02
1.08

Exam-
Exam-
Exam-
Exam-
Exam-

ple78
ple79
ple80
ple81
ple82

(15)
−1.33
−2.20
−2.00
−2.00
−2.00

(16)
0.23
0.38
0.32
0.32
0.32

(17)
3.8
5.5
5.1
5.1
5.1

(18)
2.970
7.326
5.550
6.867
6.856

(19)
0.92
6.01
1.47
0.89
0.89

(20)
1.77
1.51
1.28
1.29
1.26

(21)
0.98
0.73
1.07
1.14
1.30

(22)
0.29
0.01
0.11
0.10
0.06

(23)
0.87
0.74
0.90
0.87
0.87

(24)
0.030
0.030
0.030
0.030
0.030

(25)
0.46
0.46
0.39
0.40
0.38

(26)
1.08
3.74
1.22
1.24
1.24

(27)
0.08
0.05
0.05
0.08
0.08

(28)
0.55
0.53
0.44
0.72
0.72

(29)
−1.52
0.57
−1.18
−0.96
−0.96

(30)
0.64
0.08
0.54
0.54
0.55

(31)
0.71
0.44
0.54
0.62
0.55

(32)
0.85
0.46
0.57
0.65
0.59

(33)
1.14
1.27
0.83
0.87
0.80

(34)
1.40
2.07
1.31
1.28
1.32

(35)
4.06
5.31
4.96
4.82
4.44

(36)
0.21
0.16
0.23
0.23
0.23

(37)
−2.67
3.89
−13.18
−8.91
−93.62

(38)
−2.12
1.86
−1.60
−2.00
−2.00

(39)
6.61
−1270.10
23.23
4.39
3.92

(40)
3.10
30.48
4.24
4.27
3.86

(41)
−0.80
1.39
−6.32
−5.14
−49.35

(42)
0.03
0.03
0.03
0.03
0.03

(43)
0.03
0.02
0.03
0.03
0.03

(45)
0.85
1.00
0.83
0.82
0.80

(47)
0.38
0.72
0.46
0.48
0.46

(49)
—
—
—
—
—

(51)
0.19
0.05
0.13
0.11
0.13

(53)
0.05
0.02
0.06
0.07
0.07

(54)
0.88
0.93
0.93
0.89
0.89

(55)
0.74
0.51
0.70
0.70
0.68

(56)
0.94
1.16
1.00
0.94
0.94

(57)
1.04
−0.28
0.74
0.93
0.97

Exam-
Exam-
Exam-
Exam-
Exam-

ple83
ple84
ple85
ple86
ple87

(15)
−1.32
−2.54
−2.58
−1.99
−4.18

(16)
0.33
0.42
0.40
0.40
0.74

(17)
4.1
4.4
5.5
6.4
8.8

(18)
9.402
21.517
3.391
2.859
8.190

(19)
3.16
0.58
1.03
1.19
0.11

(20)
1.25
1.45
1.36
1.29
0.42

(21)
1.19
0.74
1.11
0.80
0.59

(22)
0.39
0.09
0.01
0.01
0.03

(23)
0.91
0.67
0.80
0.79
0.84

(24)
0.030
0.021
0.030
0.030
0.030

(25)
0.49
0.40
0.32
0.35
0.25

(26)
1.07
2.82
2.13
1.96
2.00

(27)
0.02
0.32
0.12
0.12
0.17

(28)
0.18
2.12
1.23
1.35
2.52

(29)
−2.12
1.14
−0.86
−1.51
−0.56

(30)
0.45
0.19
0.27
0.26
0.11

(31)
0.74
0.56
0.36
0.41
0.37

(32)
0.85
0.71
0.37
0.43
0.38

(33)
1.09
0.95
0.76
0.85
0.71

(34)
1.37
1.74
1.57
1.57
1.11

(35)
5.65
23.80
4.49
4.50
17.87

(36)
0.22
0.06
0.34
0.42
0.05

(37)
−4.40
1.03
−3.39
−1.68
−8.39

(38)
−1.31
1.58
−1.53
−0.81
−5.89

(39)
55.20
0.30
0.79
0.77
0.26

(40)
4.99
0.77
12.26
17.99
49.15

(41)
−1.49
1.19
−4.03
−1.67
−6.31

(42)
0.03
0.02
0.03
0.03
0.03

(43)
0.03
0.02
0.03
0.03
0.03

(45)
0.90
—
0.83
0.88
0.79

(47)
0.42
0.27
—
—
—

(49)
—
—
—
—
—

(51)
0.14
0.21
0.09
0.09
0.08

(53)
0.04
0.09
0.04
0.05
0.03

(54)
0.96
0.65
0.85
0.86
0.81

(55)
0.78
0.69
0.56
0.60
0.74

(56)
1.13
0.71
0.87
0.88
0.85

(57)
0.13
1.52
1.17
1.10
1.06

Exam-
Exam-
Exam-
Exam-
Exam-

ple88
ple89
ple90
ple91
ple92

(15)
−4.18
−8.37
−2.04
−2.04
−4.09

(16)
0.75
0.95
0.39
0.41
0.74

(17)
6.7
11.5
9.8
11.8
17.8

(18)
7.905
17.163
10.582
9.821
16.263

(19)
0.17
0.01
0.81
0.86
0.21

(20)
0.47
0.20
0.89
0.83
0.37

(21)
0.65
0.44
0.60
0.59
1.95

(22)
0.01
0.01
0.41
0.49
0.01

(23)
0.86
0.70
0.85
0.85
0.93

(24)
0.030
0.030
0.032
0.032
0.030

(25)
0.27
0.21
0.46
0.44
0.32

(26)
1.92
2.76
2.02
2.44
2.80

(27)
0.14
0.41
0.10
0.10
0.06

(28)
1.67
6.72
1.76
2.07
2.07

(29)
−0.77
−0.29
−0.56
−0.54
−0.31

(30)
0.03
0.06
0.33
0.30
0.32

(31)
0.41
0.42
0.79
0.71
0.43

(32)
0.42
0.42
0.87
0.78
0.49

(33)
0.83
0.74
1.36
1.34
1.11

(34)
1.11
1.03
1.29
1.31
1.17

(35)
6.98
−8.15
10.00
26.35
−13.67

(36)
0.08
0.00
0.41
0.16
0.00

(37)
−8.54
−71.88
−0.53
−0.60
−2.01

(38)
−4.16
−25.04
−2.50
−2.50
−10.00

(39)
0.36
0.10
3.60
1.81
1.07

(40)
150.63
1016.39
4.03
4.75
2.77

(41)
−4.92
−53.92
−0.58
−0.69
−2.18

(42)
0.03
0.03
0.03
0.03
0.03

(43)
0.03
0.03
0.03
0.03
0.03

(45)
0.82
0.80
0.58
0.62
0.64

(47)
—
—
0.88
0.88
0.87

(49)
—
—
—
—
—

(51)
0.08
0.06
0.10
0.10
0.13

(53)
0.02
0.02
0.02
0.02
0.01

(54)
0.83
0.63
0.66
0.67
0.92

(55)
0.76
0.79
0.67
0.66
0.75

(56)
0.87
0.71
0.90
0.91
0.95

(57)
1.04
1.02
0.98
0.98
1.09

Exam-
Exam-
Exam-
Exam-

ple93
ple94
ple95
ple96

(15)
−2.04
−4.09
−2.00
−2.00

(16)
0.40
0.69
0.32
0.32

(17)
11.8
17.8
5.2
5.2

(18)
8.840
14.080
1.990
0.995

(19)
0.86
0.20
1.18
1.17

(20)
0.82
0.37
0.94
0.91

(21)
0.60
2.33
0.85
0.73

(22)
0.55
0.45
0.50
0.35

(23)
0.85
0.92
0.91
0.91

(24)
0.032
0.030
0.030
0.030

(25)
0.44
0.31
0.33
0.36

(26)
2.38
2.64
1.27
1.26

(27)
0.10
0.07
0.04
0.04

(28)
2.07
2.28
0.44
0.44

(29)
−0.52
−0.29
−0.70
−0.70

(30)
0.30
0.44
0.21
0.20

(31)
0.72
0.44
0.47
0.53

(32)
0.79
0.49
0.45
0.51

(33)
1.33
0.97
0.70
0.74

(34)
1.31
1.17
1.18
1.16

(35)
23.83
−6.82
9.42
9.76

(36)
0.18
0.00
0.05
0.05

(37)
−0.62
2.01
7.72
11.52

(38)
−2.51
−10.00
−3.48
−3.50

(39)
1.92
0.98
24.77
−4293.76

(40)
4.90
2.78
−105.70
−105.84

(41)
−0.68
2.46
3.35
4.88

(42)
0.03
0.03
0.03
0.03

(43)
0.03
0.03
0.03
0.03

(45)
0.61
0.64
0.81
0.83

(47)
0.88
—
0.31
0.29

(49)
—
—
—
—

(51)
0.10
0.12
0.06
0.05

(53)
0.02
0.03
0.06
0.07

(54)
0.67
0.91
0.94
0.94

(55)
0.65
0.96
0.86
0.87

(56)
0.91
0.94
0.99
0.99

(57)
0.97
1.09
0.72
0.70

Moreover, value of variable in each example are given below. Also, N_G2denotes number of lenses in the first lens unit, N_G2denotes number of lenses in the second lens unit, f_G2denotes a focal length of the second lens unit, f_G2idenotes a focal length of the second image-side lens. Furthermore, f_L1to F_L19denotes a focal length of each lens, and correspond to L1 to L19 shown in the cross-sectional view of the optical system. Also, with respect to the example which includes a diffraction optical element, description for focal length of a lens, shown by DL in the cross-sectional view of the optical system, is omitted.

Example8
Example9
Example10
Example11

D_oi
60.0
57.9
60.0
60.0

Y_obj
4.7
4.7
4.8
4.8

Y
4.92
4.92
4.92
4.92

L_TL
35.02
40.92
35.01
35.01

L_L
30.71
36.61
30.70
30.70

WD
25.00
17.00
25.00
25.00

BF
4.31
4.31
4.31
4.31

NA
0.15
0.21
0.15
0.15

β
−1.04
−1.05
−1.03
−1.03

f
9.34
9.35
9.35
10.22

φ_G1o
12.87
15.15
13.09
13.55

φ_s
4.84
5.70
4.73
4.77

D_os
38.52
35.88
38.53
38.18

D_G1G2
1.87
2.17
1.77
1.40

L_G1
12.37
17.71
12.51
12.20

L_G2
16.47
16.73
16.42
17.10

CRA_obj(MAX)
5.01
3.02
4.85
4.57

CRA_obj(MIN)
0.00
0.00
0.00
0.00

CRA_img
20.40
23.21
20.47
20.41

D_max
5.72
5.24
5.70
4.65

D_G1max
1.23
2.49
0.99
1.10

νd_max
81.61
81.61
81.61
81.61

νd_min
30.30
30.30
30.30
31.32

N_G1
4.00
5.00
4.00
4.00

N_G2
5.00
5.00
6.00
6.00

f_G1
13.85
12.59
14.04
13.02

f_G2
53.90
19.64
34.90
39.91

f_G1o
24.63
23.26
23.74
21.53

f_G2i
−10.50
−8.84
−10.57
−10.74

f_L1
24.63
23.26
23.74
21.53

f_L2
27.02
−40.17
27.43
24.93

f_L3
12.38
18.64
10.99
13.31

f_L4
−6.99
9.77
−6.17
−6.78

f_L5
−15.63
−6.61
−16.62
−25.51

f_L6
51.27
−14.37
44.82
33.89

f_L7
20.88
73.73
11.13
20.46

f_L8
15.49
12.37
−12.69
8.23

f_L9
−10.50
22.47
11.28
−12.22

f_L10
—
−8.84
−10.57
−10.74

Example12
Example13
Example14
Example15

D_oi
55.0
55.0
60.0
60.0

Y_obj
4.7
4.7
4.7
4.7

Y
4.92
4.92
4.92
4.92

L_TL
35.01
34.01
36.00
44.05

L_L
32.11
31.12
32.87
40.74

WD
20.00
21.00
24.00
15.97

BF
2.90
2.89
3.13
3.31

NA
0.18
0.13
0.14
0.21

β
−1.05
−1.05
−1.05
−1.05

f
7.99
8.59
9.49
8.84

φ_G1o
13.29
11.27
12.33
13.69

φ_s
5.73
3.56
4.32
6.29

D_os
36.58
35.61
40.71
32.22

D_G1G2
1.64
1.24
1.41
4.13

L_G1
15.23
13.67
15.60
14.70

L_G2
15.23
16.21
15.86
21.90

CRA_obj(MAX)
5.01
5.02
4.45
5.03

CRA_obj(MIN)
0.00
0.00
0.00
0.00

CRA_img
24.98
24.22
22.84
23.11

D_max
3.01
3.60
3.25
4.13

D_G1max
0.30
0.30
0.45
2.15

νd_max
81.61
81.61
81.61
81.61

νd_min
23.77
23.77
23.77
23.77

N_G1
6.00
6.00
6.00
5.00

N_G2
5.00
5.00
4.00
6.00

f_G1
12.56
11.59
11.80
14.91

f_G2
65.83
67.00
−52.46
12.97

f_G1o
18.32
17.88
18.30
56.21

f_G2i
−9.44
−10.56
−15.34
−11.21

f_L1
18.32
17.88
18.30
56.21

f_L2
−12.27
−13.66
−11.91
37.07

f_L3
15.26
16.27
13.04
24.83

f_L4
16.48
13.67
14.27
10.19

f_L5
12.90
13.69
13.50
−5.97

f_L6
−6.44
−5.79
−5.96
−12.93

f_L7
−31.52
21.18
−27.43
14.43

f_L8
114.04
−12.33
49.38
15.97

f_L9
19.76
22.67
20.52
22.94

f_L10
18.24
16.87
−15.34
−17.31

f_L11
−9.44
−10.56
—
−11.21

Example16
Example17
Example18
Example19

D_oi
60.0
60.0
60.0
70.0

Y_obj
4.7
4.7
4.7
4.9

Y
4.92
4.92
4.92
4.92

L_TL
43.01
40.23
35.01
42.41

L_L
38.70
35.92
30.70
40.53

WD
17.00
19.78
25.00
27.58

BF
4.31
4.31
4.31
1.88

NA
0.18
0.20
0.15
0.15

β
−1.05
−1.05
−1.04
−1.00

f
10.48
10.21
8.63
9.02

φ_G1o
12.75
14.20
12.86
14.58

φ_s
4.52
5.67
5.89
5.59

D_os
32.54
33.57
38.03
45.84

D_G1G2
1.68
2.34
3.56
1.37

L_G1
14.57
12.53
9.67
16.92

L_G2
22.44
21.05
17.47
22.24

CRA_obj(MAX)
4.97
5.01
5.00
4.01

CRA_obj(MIN)
0.00
0.00
0.00
0.00

CRA_img
18.67
18.43
22.74
21.84

D_max
5.88
5.84
3.56
4.34

D_G1max
0.10
1.38
0.10
2.78

νd_max
81.61
81.61
81.61
81.61

νd_min
23.77
30.30
33.79
30.30

N_G1
5.00
4.00
4.00
7.00

N_G2
5.00
5.00
6.00
7.00

f_G1
12.37
13.75
17.15
14.57

f_G2
13.91
16.65
35.67
−25.41

f_G1o
54.82
24.83
21.39
68.99

f_G2i
−10.13
−12.05
−12.01
−13.57

f_L1
54.82
24.83
21.39
24.92

f_L2
27.79
27.96
22.33
34.57

f_L3
21.01
11.33
15.76
15.04

f_L4
8.55
−6.47
−7.77
−10.67

f_L5
−4.58
−17.53
−11.67
−9.30

f_L6
−8.88
38.34
9.71
18.19

f_L7
16.30
14.48
12.02
25.65

f_L8
14.63
48.32
28.79
145.05

f_L9
24.09
−12.05
−14.54
13.70

f_L10
−10.13
—
−12.01
−19.71

f_L11
—
—
—
−13.57

Example20
Example21
Example22
Example23

D_oi
50.5
90.0
74.0
75.0

Y_obj
3.7
3.7
3.7
3.7

Y
4.92
4.92
4.92
4.92

L_TL
36.73
60.00
44.01
45.00

L_L
34.85
58.09
42.57
42.76

WD
13.80
30.00
30.00
30.00

BF
1.88
1.91
1.44
2.25

NA
0.23
0.23
0.23
0.23

β
−1.33
−1.33
−1.33
−1.33

f
5.76
11.95
9.09
8.95

φ_G1o
11.62
18.29
18.37
18.43

φ_s
5.58
8.60
9.67
9.49

D_os
27.52
46.38
45.86
46.52

D_G1G2
2.33
2.52
0.72
0.82

L_G1
12.55
14.93
14.92
15.58

L_G2
19.96
40.64
26.93
26.36

CRA_obj(MAX)
5.03
3.42
3.77
3.66

CRA_obj(MIN)
0.00
0.00
0.00
0.00

CRA_img
24.38
16.41
14.28
16.19

D_max
5.67
16.81
5.38
6.22

D_G1max
0.74
0.10
0.71
0.10

νd_max
81.61
81.61
81.61
81.61

νd_min
23.77
23.77
23.77
30.30

N_G1
5.00
6.00
6.00
7.00

N_G2
7.00
7.00
7.00
7.00

f_G1
11.79
15.93
14.56
14.90

f_G2
20.63
−148.45
−15.87
−17.93

f_G1o
12.16
27.51
34.51
−433.62

f_G2i
−11.27
−61.84
−112.48
−44.15

f_L1
12.16
27.51
34.51
−433.62

f_L2
−9.59
−47.88
−54.36
30.29

f_L3
8.46
23.28
28.64
−40.89

f_L4
9.45
24.16
25.30
25.88

f_L5
−5.84
21.16
16.94
25.01

f_L6
−7.46
−8.36
−11.17
15.79

f_L7
11.13
−8.13
−8.34
−10.39

f_L8
35.93
14.39
16.41
−8.30

f_L9
37.12
27.87
14.16
17.85

f_L10
16.62
46.31
−11.47
13.12

f_L11
−19.11
23.89
9.84
−11.60

f_L12
−11.27
−13.98
−9.96
9.84

f_L13
—
−61.84
−112.48
−12.08

f_L14
—
—
—
−44.15

Example24
Example25
Example26
Example27

D_oi
70.0
67.0
67.0
67.0

Y_obj
2.2
1.9
1.9
1.9

Y
4.92
4.92
4.92
4.92

L_TL
54.21
55.51
51.22
51.22

L_L
51.58
52.41
49.41
49.09

WD
15.80
11.50
15.80
15.80

BF
2.63
3.10
1.81
2.13

NA
0.38
0.43
0.40
0.40

β
−2.20
−2.55
−2.55
−2.55

f
5.02
4.06
4.53
4.30

φ_G1o
16.68
14.25
16.84
16.89

φ_s
11.49
11.77
12.92
12.50

D_os
32.14
27.52
31.44
30.95

D_G1G2
0.96
1.10
0.36
0.52

L_G1
15.55
15.33
15.63
15.10

L_G2
35.06
35.97
33.42
33.47

CRA_obj(MAX)
3.01
3.02
3.01
3.02

CRA_obj(MIN)
0.00
0.00
0.00
0.00

CRA_img
19.17
20.97
14.87
16.57

D_max
8.48
12.20
11.08
11.58

D_G1max
0.10
0.71
0.70
0.43

νd_max
81.61
81.61
81.61
81.61

νd_min
23.77
23.77
23.77
23.77

N_G1
6.00
6.00
6.00
5.00

N_G2
7.00
7.00
7.00
7.00

f_G1
14.02
12.99
12.42
12.17

f_G2
919.29
85.22
−9.39
−9.08

f_G1o
19.51
15.80
25.17
28.64

f_G2i
−20.20
−13.47
−21.78
−18.62

f_L1
19.51
15.80
25.17
28.64

f_L2
−30.65
−25.58
−77.15
43.10

f_L3
25.01
23.90
32.04
19.95

f_L4
22.31
23.14
20.04
22.33

f_L5
19.81
18.73
26.48
−18.00

f_L6
−10.74
−11.95
−20.40
−9.19

f_L7
−10.27
−11.22
−9.37
15.85

f_L8
13.10
14.37
15.36
21.65

f_L9
22.47
24.09
22.49
−14.46

f_L10
−26.66
−50.83
−12.32
9.47

f_L11
12.62
12.52
9.13
−9.78

f_L12
−10.03
−10.05
−9.73
−18.62

f_L13
−20.20
−13.47
−21.78
—

Example28
Example29
Example30
Example31

D_oi
67.0
67.0
67.0
60.0

Y_obj
3.1
3.2
3.2
2.5

Y
4.92
4.92
4.92
4.92

L_TL
50.99
50.97
50.83
39.12

L_L
49.18
49.16
49.02
36.64

WD
16.02
16.04
16.18
20.90

BF
1.81
1.81
1.81
2.48

NA
0.40
0.31
0.31
0.20

β
−1.60
−1.56
−1.55
−2.00

f
5.39
5.41
5.52
6.48

φ_G1o
18.74
14.61
14.78
10.53

φ_s
13.40
10.17
10.06
6.66

D_os
30.52
31.48
30.31
30.56

D_G1G2
0.73
1.01
0.78
0.35

L_G1
14.68
15.41
14.04
9.16

L_G2
33.77
32.74
34.20
27.13

CRA_obj(MAX)
5.01
4.86
5.01
4.25

CRA_obj(MIN)
0.00
0.00
0.00
0.00

CRA_img
24.98
24.99
24.99
13.24

D_max
6.33
6.37
8.18
5.26

D_G1max
0.44
0.54
0.64
0.10

νd_max
81.61
81.61
81.61
81.61

νd_min
23.77
23.77
23.77
23.77

N_G1
5.00
5.00
5.00
5.00

N_G2
7.00
7.00
6.00
7.00

f_G1
12.63
12.85
12.89
11.74

f_G2
−19.08
−18.81
−27.03
−14.14

f_G1o
36.71
36.28
33.71
46.69

f_G2i
−12.14
−11.41
−10.64
1004.70

f_L1
36.71
36.28
33.71
46.69

f_L2
40.13
44.47
57.34
46.74

f_L3
21.15
19.96
18.06
25.46

f_L4
24.31
23.47
20.89
13.56

f_L5
−22.06
−21.47
−17.23
−12.34

f_L6
−9.37
−9.35
−9.76
−8.13

f_L7
13.36
13.37
13.67
11.38

f_L8
34.78
34.82
33.26
38.36

f_L9
−104.76
−93.84
16.88
270.72

f_L10
15.68
14.70
−15.01
13.62

f_L11
−14.06
−13.63
−10.64
−6.90

f_L12
−12.14
−11.41
—
1004.70

Example32
Example33
Example34
Example35

D_oi
70.0
74.0
62.7
63.0

Y_obj
2.5
3.7
3.7
3.7

Y
4.92
4.92
4.92
4.92

L_TL
44.98
44.01
46.52
46.88

L_L
42.01
38.79
45.18
45.36

WD
25.04
30.00
16.17
16.07

BF
2.96
5.22
1.34
1.52

NA
0.23
0.23
0.23
0.23

β
−2.00
−1.33
−1.33
−1.33

f
10.51
10.24
6.71
6.94

φ_G1o
14.46
19.03
13.17
13.35

φ_s
8.46
9.19
5.88
5.84

D_os
36.91
47.62
33.61
33.98

D_G1G2
0.16
0.54
1.53
2.17

L_G1
11.38
16.67
16.47
16.61

L_G2
30.47
21.58
27.18
26.59

CRA_obj(MAX)
3.30
3.22
3.54
3.17

CRA_obj(MIN)
0.00
0.00
0.00
0.00

CRA_img
12.08
16.48
25.00
25.00

D_max
9.72
5.87
5.23
5.15

DG1_max
0.30
0.10
0.96
0.92

νd_max
81.61
81.61
81.61
81.61

νd_min
23.77
23.77
23.77
23.77

N_G1
5.00
6.00
6.00
6.00

N_G2
6.00
6.00
7.00
6.00

f_G1
12.00
15.66
11.76
11.71

f_G2
−16.50
−40.91
416.18
−1160.10

f_G1o
43.72
41.25
13.37
13.51

f_G2i
100.51
−10.63
−22.33
−16.72

f_L1
43.72
41.25
13.37
13.51

f_L2
32.19
−52.01
−11.61
−11.84

f_L3
28.02
20.63
16.56
16.66

f_L4
14.03
27.75
16.39
16.73

f_L5
−11.74
18.33
11.85
12.07

f_L6
−7.83
−9.85
−6.77
−7.04

f_L7
14.26
−10.09
−8.39
−8.08

f_L8
41.26
20.06
14.89
14.88

f_L9
14.80
12.65
25.19
17.50

f_L10
−9.79
−9.90
46.83
19.53

f_L11
100.51
8.86
19.06
−15.02

f_L12
—
−10.63
−11.47
−16.72

f_L13
—
—
−22.33
—

Example36
Example37
Example38
Example39

D_oi
64.1
65.0
74.6
65.2

Y_obj
3.7
3.7
3.7
3.8

Y
4.92
4.92
4.92
4.92

L_TL
47.90
48.69
53.56
48.01

L_L
44.23
47.50
49.95
45.78

WD
16.16
16.30
21.00
17.18

BF
3.68
1.19
3.62
2.23

NA
0.23
0.23
0.23
0.23

β
−1.33
−1.33
−1.33
−1.30

f
8.73
8.25
9.31
11.64

φ_G1o
13.51
13.57
15.22
14.22

φ_s
5.94
5.87
6.90
6.93

D_os
34.66
34.69
40.82
37.85

D_G1G2
2.23
2.15
2.29
0.87

L_G1
17.20
17.11
18.37
20.17

L_G2
24.80
28.25
29.28
24.74

CRA_obj(MAX)
3.04
3.04
3.19
3.59

CRA_obj(MIN)
0.00
0.00
0.00
0.00

CRA_img
20.87
18.64
15.64
10.46

D_max
5.08
5.21
4.86
3.62

DG1_max
0.92
0.79
0.30
1.32

νd_max
81.61
81.61
81.61
81.61

νd_min
23.77
23.77
23.77
32.36

N_G1
6.00
6.00
6.00
6.00

N_G2
5.00
7.00
6.00
5.00

f_G1
11.61
11.76
12.68
11.29

f_G2
238.11
152.21
−40.68
−27.34

f_G1o
13.83
13.48
15.35
30.09

f_G2i
−8.72
1846.69
−9.62
−13.42

f_L1
13.83
13.48
15.35
30.09

f_L2
−11.77
−11.53
−13.63
−26.10

f_L3
17.05
15.57
17.12
16.79

f_L4
16.34
17.36
17.69
23.91

f_L5
12.87
11.81
16.75
21.98

f_L6
−7.52
−6.86
−8.50
−25.35

f_L7
−7.59
−8.30
−7.69
24.96

f_L8
15.13
14.58
18.30
−6.92

f_L9
16.05
19.96
36.70
183.01

f_L10
21.08
85.87
26.35
13.30

f_L11
−8.72
19.60
19.77
−13.42

f_L12
—
−8.10
−9.62
—

f_L13
—
1846.69
—
—

Example40
Example41
Example42
Example43

D_oi
64.2
54.5
54.1
65.0

Y_obj
3.8
3.6
3.6
3.7

Y
4.92
4.75
4.75
4.92

L_TL
47.64
43.00
43.00
49.10

L_L
45.52
41.24
41.24
47.62

WD
16.60
11.49
11.12
15.90

BF
2.12
1.76
1.76
1.48

NA
0.23
0.23
0.23
0.23

β
−1.30
−1.32
−1.32
−1.33

f
11.19
5.34
5.31
7.78

φ_G1o
14.42
11.43
10.95
13.19

φ_s
6.70
7.60
7.60
5.86

D_os
38.48
30.69
30.14
33.82

D_G1G2
1.85
2.15
1.09
2.17

L_G1
20.97
17.35
18.23
16.89

L_G2
22.70
21.74
21.93
28.56

CRA_obj(MAX)
3.01
3.44
3.94
3.44

CRA_obj(MIN)
0.00
0.00
0.00
0.00

CRA_img
10.83
31.50
31.28
25.01

D_max
3.03
5.48
5.63
5.19

D_G1max
1.32
5.37
5.63
0.79

νd_max
81.61
81.61
81.61
81.61

νd_min
34.71
23.78
23.78
23.77

N_G1
6.00
6.00
6.00
6.00

N_G2
5.00
7.00
8.00
6.00

f_G1
12.35
16.76
15.57
11.28

f_G2
−163.05
16.34
50.69
−144.12

f_G1o
17.51
−95.25
15.42
13.55

f_G2i
−14.09
−8.02
−8.02
−17.68

f_L1
17.51
−95.25
15.42
13.55

f_L2
−15.40
15.53
−95.25
−12.00

f_L3
18.06
−10.25
−10.36
16.82

f_L4
30.22
9.23
9.23
17.00

f_L5
14.86
10.02
10.82
12.05

f_L6
−12.27
−8.45
−10.39
−7.41

f_L7
13.83
−19.97
−13.77
−7.57

f_L8
−7.40
15.92
18.92
14.99

f_L9
−763.86
31.04
46.98
16.82

f_L10
13.22
10.32
60.83
23.13

f_L11
−14.09
−12.97
9.60
−16.89

f_L12
—
1200.49
−13.50
−17.68

f_L13
—
−8.02
247.70
—

f_L14
—
—
−8.02
—

Example44
Example45
Example46
Example47

D_oi
65.0
65.0
65.0
65.0

Y_obj
3.7
3.7
3.7
3.7

Y
4.92
4.92
4.92
4.92

L_TL
49.15
49.18
49.18
49.20

L_L
47.27
47.29
47.30
47.32

WD
15.85
15.83
15.82
15.80

BF
1.88
1.88
1.88
1.88

NA
0.23
0.23
0.20
0.23

β
−1.33
−1.33
−1.33
−1.33

f
7.87
7.55
7.55
8.00

φ_G1o
12.90
12.18
11.08
13.30

φ_s
5.98
6.43
5.65
6.02

D_os
33.07
31.52
30.90
34.46

D_G1G2
1.91
2.11
1.98
4.00

L_G1
16.14
14.43
13.84
16.69

L_G2
29.23
30.75
31.48
26.63

CRA_obj(MAX)
3.85
4.92
5.03
3.03

CRA_obj(MIN)
0.00
0.00
0.00
0.00

CRA_img
25.01
25.01
25.01
24.94

D_max
9.60
14.60
15.60
4.94

D_G1max
0.72
0.57
0.95
0.51

νd_max
81.61
81.61
81.61
81.61

νd_min
23.77
23.77
23.77
23.77

N_G1
6.00
6.00
6.00
6.00

N_G2
6.00
6.00
6.00
6.00

f_G1
11.80
13.57
14.24
11.71

f_G2
91.51
24.06
18.81
−451.46

f_G1o
13.54
14.77
14.79
14.48

f_G2i
−18.99
−12.64
−12.42
−15.93

f_L1
13.54
14.77
14.79
14.48

f_L2
−13.28
−17.01
−17.43
−12.43

f_L3
16.99
23.54
22.87
16.62

f_L4
18.92
19.07
19.69
18.07

f_L5
12.23
14.42
14.57
15.43

f_L6
−6.91
−7.15
−6.88
−8.97

f_L7
−8.30
−11.29
−12.11
−7.82

f_L8
25.05
44.46
44.73
14.98

f_L9
13.37
12.12
12.07
15.98

f_L10
21.39
21.40
21.25
25.19

f_L11
−17.93
−31.10
−31.18
−19.41

f_L12
−18.99
−12.64
−12.42
−15.93

Example48
Example49
Example50
Example51

D_oi
65.0
65.0
88.4
86.6

Y_obj
3.7
3.7
3.5
3.7

Y
4.92
4.92
4.92
4.92

L_TL
49.00
48.98
56.76
55.68

L_L
47.12
47.09
46.38
44.80

WD
16.00
16.02
31.64
30.90

BF
1.88
1.89
10.38
10.88

NA
0.20
0.20
0.17
0.20

β
−1.33
−1.33
−1.40
−1.33

f
7.74
7.45
14.81
14.41

φ_G1o
12.20
12.20
14.75
17.05

φ_s
5.88
6.58
7.84
9.19

D_os
35.51
36.89
53.84
54.48

D_G1G2
8.50
11.00
1.06
1.10

L_G1
15.31
15.45
21.29
22.38

L_G2
23.30
20.64
24.03
21.32

CRA_obj(MAX)
3.02
3.01
3.01
3.01

CRA_obj(MIN)
0.00
0.00
0.00
0.00

CRA_img
24.98
24.96
10.94
11.81

D_max
8.50
11.00
7.57
4.33

D_G1max
0.36
0.67
2.79
2.58

νd_max
81.61
81.61
81.61
81.61

νd_min
23.77
23.77
23.77
23.77

N_G1
6.00
6.00
6.00
6.00

N_G2
6.00
6.00
6.00
6.00

f_G1
13.24
15.01
16.44
17.09

f_G2
−4737.68
153.91
−32.88
−46.90

f_G1o
17.84
19.51
26.68
28.65

f_G2i
−18.73
−18.39
−11.47
−11.38

f_L1
17.84
19.51
26.68
28.65

f_L2
−13.04
−12.13
−18.02
−18.66

f_L3
18.46
18.52
20.01
20.10

f_L4
17.54
16.97
22.79
22.92

f_L5
30.17
63.84
22.94
22.12

f_L6
−15.22
−23.74
−12.18
−11.48

f_L7
−10.47
−13.12
−10.31
−10.82

f_L8
20.62
25.33
37.48
33.16

f_L9
15.14
15.13
10.62
10.85

f_L10
31.20
29.27
−11.87
−10.97

f_L11
−16.22
−15.24
11.28
10.23

f_L12
−18.73
−18.39
−11.47
−11.38

Example52
Example53
Example54
Example55

D_oi
90.0
87.0
90.0
78.8

Y_obj
3.5
3.5
3.5
4.5

Y
4.92
4.92
4.92
4.92

L_TL
58.18
55.96
58.18
44.95

L_L
45.80
42.08
45.80
42.11

WD
31.82
31.04
31.82
33.80

BF
12.38
13.88
12.38
2.85

NA
0.17
0.17
0.17
0.23

β
−1.40
−1.40
−1.40
−1.10

f
15.30
15.97
15.30
12.36

φ_G1o
14.80
14.13
14.80
22.36

φ_s
8.07
8.06
8.07
9.00

D_os
54.96
51.40
54.96
53.58

D_G1G2
1.00
0.95
1.00
1.13

L_G1
22.24
19.48
22.24
18.25

L_G2
22.57
21.65
22.57
22.73

CRA_obj(MAX)
3.01
3.42
3.01
3.01

CRA_obj(MIN)
0.00
0.00
0.00
0.00

CRA_img
10.57
9.64
10.57
16.01

D_max
6.35
6.45
6.35
2.81

D_G1max
2.65
2.30
2.65
0.30

νd_max
81.61
81.61
81.61
81.61

νd_min
23.77
23.77
23.77
23.77

N_G1
6.00
6.00
6.00
5.00

N_G2
6.00
6.00
6.00
7.00

f_G1
16.59
15.95
16.59
14.96

f_G2
−32.02
−37.38
−32.02
−35.27

f_G1o
26.47
25.52
26.47
154.11

f_G2i
−11.85
−13.78
−11.85
−13.99

f_L1
26.47
25.52
26.47
154.11

f_L2
−17.67
−17.71
−17.67
30.29

f_L3
20.13
21.91
20.13
41.05

f_L4
22.35
20.68
22.35
13.24

f_L5
22.74
21.08
22.74
−9.43

f_L6
−12.18
−11.88
−12.18
−10.58

f_L7
−10.12
−9.91
−10.12
27.16

f_L8
38.42
37.46
38.42
10.93

f_L9
10.60
10.57
10.60
−10.48

f_L10
−11.69
−12.74
−11.69
9.62

f_L11
11.21
12.21
11.21
459.63

f_L12
−11.85
−13.78
−11.85
−13.99

Example56
Example57
Example58
Example59

D_oi
69.8
70.0
84.0
85.0

Y_obj
3.1
3.1
3.7
3.7

Y
4.92
4.92
4.92
4.92

L_TL
45.08
46.29
54.27
55.20

L_L
43.19
42.91
50.28
51.33

WD
24.76
23.71
29.74
29.80

BF
1.89
3.38
3.99
3.87

NA
0.20
0.20
0.23
0.23

β
−1.56
−1.60
−1.33
−1.33

f
7.72
8.33
9.33
10.42

φ_G1o
13.97
12.57
19.32
18.99

φ_s
7.44
8.16
9.84
9.81

D_os
40.08
35.89
49.92
49.35

D_G1G2
1.56
0.43
2.56
1.59

L_G1
14.06
11.71
18.40
18.52

L_G2
27.56
30.78
29.32
31.22

CRA_obj(MAX)
3.14
4.34
2.81
3.15

CRA_obj(MIN)
0.00
0.00
0.00
0.00

CRA_img
20.33
18.96
18.64
17.68

D_max
7.48
8.00
8.10
7.34

D_G1max
0.75
1.16
1.33
0.30

νd_max
81.61
81.61
81.61
81.61

νd_min
30.30
23.77
23.77
23.77

N_G1
7.00
7.00
6.00
6.00

N_G2
7.00
6.00
8.00
8.00

f_G1
12.26
12.68
17.28
15.88

f_G2
−10.13
−16.59
−44.18
−27.06

f_G1o
75.80
39.79
30.99
31.29

f_G2i
−26.89
−92.10
−10.89
−9.44

f_L1
21.02
39.79
30.99
31.29

f_L2
62.82
20.87
−33.07
−30.71

f_L3
15.66
13.01
20.09
19.65

f_L4
−16.51
−13.25
32.66
29.48

f_L5
−7.43
−9.05
20.45
19.15

f_L6
18.11
17.01
−10.48
−11.24

f_L7
25.89
27.28
−10.19
−8.32

f_L8
−396.91
15.71
17.32
12.55

f_L9
14.48
−9.54
19.42
−44.70

f_L10
−14.11
−92.10
−19.26
13.63

f_L11
−26.89

−10.89
−9.44

Example60
Example61
Example62
Example63

D_oi
85.0
88.4
88.6
60.2

Y_obj
3.7
2.2
2.2
1.3

Y
4.92
7.93
7.93
4.75

L_TL
55.20
86.88
86.93
59.29

L_L
51.67
74.30
74.81
53.77

WD
29.80
1.54
1.64
0.88

BF
3.54
12.58
12.12
5.52

NA
0.23
0.60
0.60
0.60

β
−1.33
−3.57
−3.56
−3.56

f
10.62
8.96
8.92
4.98

φ_G1o
18.57
5.78
5.87
3.52

φ_s
10.87
11.87
11.92
7.54

D_os
48.94
27.31
27.45
17.61

D_G1G2
1.25
2.47
2.34
1.38

L_G1
17.64
24.13
24.30
15.92

L_G2
32.78
47.70
48.17
36.46

CRA_obj(MAX)
3.28
4.92
4.96
4.69

CRA_obj(MIN)
0.00
0.00
0.00
0.00

CRA_img
16.87
11.98
12.41
14.58

D_max
8.57
9.46
9.47
13.98

D_G1max
0.30
0.08
0.07
0.05

νd_max
81.61
81.61
81.61
81.61

νd_min
23.77
23.88
23.88
23.88

N_G1
8.00
6.00
6.00
5.00

N_G2
6.00
7.00
7.00
6.00

f_G1
18.97
10.24
10.30
6.64

f_G2
364.23
18.57
18.54
11.47

f_G1o
32.31
−22.52
−22.27
−25.76

f_G2i
−11.62
−34.87
−34.37
−17.38

f_L1
32.31
−22.52
−22.27
−25.76

f_L2
−41.97
14.55
14.55
11.65

f_L3
19.06
−58.25
−58.50
10.78

f_L4
20.24
14.89
14.91
10.05

f_L5
−12.81
12.86
12.99
−5.69

f_L6
−13.01
−8.25
−8.28
−7.62

f_L7
16.75
−14.37
−14.41
10.65

f_L8
21.90
17.69
17.68
12.13

f_L9
−24.06
17.56
17.51
17.05

f_L10
15.59
−153.28
−146.40
−55.91

f_L11
−11.62
26.23
26.02
−17.38

f_L12
—
−70.61
−71.96
—

f_L13
—
−34.87
−34.37
—

Example64
Example65
Example66
Example67

D_oi
68.2
64.9
63.7
121.9

Y_obj
1.5
1.5
1.5
3.0

Y
5.50
5.50
5.23
10.82

L_TL
67.34
63.81
62.20
119.67

L_L
61.51
55.39
54.53
102.94

WD
0.88
1.13
1.49
2.27

BF
5.83
8.43
7.67
16.73

NA
0.60
0.60
0.60
0.60

β
−3.56
−3.56
−3.56
−3.55

f
5.34
6.16
5.82
12.29

φ_G1o
3.94
4.11
4.39
8.06

φ_s
8.63
8.68
8.89
16.50

D_os
19.86
20.47
19.69
37.57

D_G1G2
1.62
1.96
1.60
3.57

L_G1
18.02
18.09
17.27
32.88

L_G2
41.87
35.34
35.65
66.49

CRA_obj(MAX)
4.85
4.12
4.69
4.96

CRA_obj(MIN)
0.00
0.00
0.00
0.00

CRA_img
15.70
13.05
13.18
12.17

D_max
15.89
6.97
7.09
12.95

D_G1max
0.06
0.05
0.05
0.09

νd_max
81.61
81.61
81.61
81.61

νd_min
23.88
23.88
23.88
23.88

N_G1
5.00
6.00
6.00
6.00

N_G2
6.00
7.00
7.00
7.00

f_G1
7.65
7.39
7.62
14.27

f_G2
12.69
13.38
13.36
25.41

f_G1o
−34.83
−16.54
−17.90
−30.20

f_G2i
−18.76
−26.31
−25.11
−46.52

f_L1
−34.83
−16.54
−17.90
−30.20

f_L2
13.39
10.73
10.83
19.97

f_L3
12.27
−43.67
−43.01
−80.66

f_L4
12.09
10.87
10.77
20.38

f_L5
−6.63
9.43
9.67
17.89

f_L6
−8.89
−6.05
−6.14
−11.39

f_L7
12.18
−10.63
−10.73
−19.62

f_L8
14.00
13.45
13.32
24.00

f_L9
19.50
12.93
13.02
24.17

f_L10
−65.98
−146.69
−94.00
−241.88

f_L11
−18.76
21.08
20.56
36.44

f_L12
—
−47.76
−50.37
−101.22

f_L13
—
−26.31
−25.11
−46.52

Example68
Example69
Example70
Example71

D_oi
198.0
89.0
96.5
94.7

Y_obj
5.9
3.1
3.1
3.1

Y
20.78
10.82
11.04
11.04

L_TL
196.27
87.54
95.13
93.23

L_L
192.17
84.29
91.83
89.95

WD
1.76
1.43
1.35
1.42

BF
4.10
3.25
3.30
3.29

NA
0.60
0.59
0.62
0.60

β
−3.51
−3.51
−3.55
−3.53

f
7.51
3.49
3.98
3.86

φ_G1o
13.42
7.46
7.64
7.59

φ_s
30.89
13.92
15.10
14.83

D_os
67.45
30.28
29.05
30.50

D_G1G2
1.97
1.21
0.67
0.31

L_G1
62.16
26.55
27.04
27.74

L_G2
128.04
56.54
64.12
61.90

CRA_obj(MAX)
4.70
4.94
4.99
5.01

CRA_obj(MIN)
0.00
0.00
0.00
0.00

CRA_img
24.79
25.00
20.83
22.04

D_max
16.44
9.47
10.91
10.39

D_G1max
0.98
0.50
1.05
1.92

νd_max
81.61
81.61
81.61
81.61

νd_min
23.78
23.78
23.78
23.78

N_G1
8.00
8.00
8.00
7.00

N_G2
9.00
9.00
8.00
8.00

f_G1
26.67
12.77
13.05
13.53

f_G2
23.91
8.21
7.57
7.50

f_G1o
−23.95
−13.88
−23.63
−18.12

f_G2i
−25.80
−9.16
−12.56
−11.98

f_L1
−23.95
−13.88
−23.63
−18.12

f_L2
47.51
26.64
49.63
31.61

f_L3
34.71
17.87
16.80
14.76

f_L4
92.60
49.61
50.11
19.71

f_L5
40.59
19.99
21.35
−17.88

f_L6
−37.87
−20.18
−17.12
15.83

f_L7
35.01
17.32
15.68
−13.95

f_L8
−40.29
−14.74
−13.72
24.32

f_L9
95.43
32.60
29.49
36.34

f_L10
63.05
27.51
30.46
−15.11

f_L11
−34.09
−12.99
−15.53
33.42

f_L12
69.13
30.92
33.80
80.48

f_L13
193.42
64.33
78.99
20.12

f_L14
40.14
18.45
20.19
−14.40

f_L15
−26.47
−12.40
−13.04
−11.98

f_L16
−699.77
33.28
−12.56
—

f_L17
−25.80
−9.16
—
—

Example72
Example73
Example74
Example75

D_oi
317.8
96.3
186.7
78.1

Y_obj
2.2
2.1
16.3
8.1

Y
7.93
7.39
21.63
10.82

L_TL
316.63
94.97
175.11
71.96

L_L
297.86
91.60
163.31
69.74

WD
1.15
1.28
11.55
6.14

BF
18.77
3.37
11.80
2.22

NA
0.81
0.80
0.23
0.23

β
−3.56
−3.54
−1.33
−1.33

f
23.68
3.60
23.92
8.65

φ_G1o
7.14
6.93
35.10
19.15

φ_s
50.87
20.59
25.14
10.01

D_os
83.01
30.70
86.05
32.23

D_G1G2
7.41
0.05
15.12
5.76

L_G1
78.98
29.36
60.91
21.13

L_G2
211.47
62.19
87.29
42.85

CRA_obj(MAX)
1.62
2.41
5.17
4.99

CRA_obj(MIN)
0.00
0.00
0.00
−3.49

CRA_img
5.18
23.15
24.74
24.88

D_max
65.37
10.44
28.34
12.91

D_G1max
1.28
0.15
11.12
2.65

νd_max
81.61
81.61
81.61
81.61

νd_min
23.88
23.78
23.77
23.77

N_G1
5.00
10.00
6.00
5.00

N_G2
7.00
9.00
8.00
8.00

f_G1
30.45
12.38
94.37
52.27

f_G2
60.53
11.21
20.77
6.68

f_G1o
−356.83
−63.28
−54.58
−34.14

f_G2i
−23.54
−9.39
−42.31
−21.94

f_L1
−356.83
−63.28
−54.58
−34.14

f_L2
56.88
69.53
37.85
24.01

f_L3
51.20
36.72
−95.51
22.73

f_L4
67.75
25.98
39.47
33.81

f_L5
−35.65
44.35
44.87
−10.90

f_L6
−47.30
−101.97
−19.47
−18.96

f_L7
62.19
32.96
−38.56
17.44

f_L8
64.81
−25.57
43.51
24.71

f_L9
−115.85
22.34
64.36
29.65

f_L10
251.10
−22.63
67.19
−29.20

f_L11
51.88
64.58
−95.92
29.95

f_L12
−23.54
29.63
62.16
−27.20

f_L13
—
−16.59
−143.67
−21.94

f_L14
—
36.16
−42.31
—

f_L15
—
83.99
—
—

f_L16
—
21.08
—
—

f_L17
—
−12.32
—
—

f_L18
—
26.62
—
—

f_L19
—
−9.39
—
—

Example76
Example77
Example78
Example79

D_oi
60.0
42.3
38.9
70.0

Y_obj
5.6
4.0
3.6
2.2

Y
7.46
5.33
4.75
4.92

L_TL
55.44
39.54
36.46
54.21

L_L
50.94
36.43
33.86
51.58

WD
4.57
2.77
2.40
15.80

BF
4.49
3.11
2.60
2.63

NA
0.23
0.22
0.23
0.38

β
−1.34
−1.34
−1.33
−2.20

f
7.83
5.46
4.88
5.02

φ_G1o
12.21
8.66
7.73
16.73

φ_s
7.44
5.16
4.66
11.57

D_os
26.76
19.94
18.00
32.14

D_G1G2
3.57
3.42
2.99
0.96

L_G1
18.92
13.99
12.86
15.55

L_G2
28.45
19.01
18.02
35.06

CRA_obj(MAX)
5.18
5.25
5.38
3.01

CRA_obj(MIN)
0.00
0.00
0.00
0.00

CRA_img
24.82
25.37
25.13
19.17

D_max
11.11
5.30
4.58
8.48

D_G1max
2.70
1.82
1.35
0.10

νd_max
81.61
81.61
81.61
81.61

νd_min
23.77
23.77
23.77
23.77

N_G1
6.00
6.00
6.00
6.00

N_G2
8.00
8.00
8.00
7.00

f_G1
32.52
18.20
16.26
14.02

f_G2
6.32
5.06
4.49
919.29

f_G1o
−24.61
−15.40
−13.03
19.51

f_G2i
−11.70
−7.84
−7.67
−20.20

f_L1
−24.61
−15.40
−13.03
19.51

f_L2
12.51
9.81
8.36
−30.65

f_L3
−19.58
−25.65
−22.64
25.01

f_L4
12.10
9.20
8.32
22.31

f_L5
13.24
11.21
9.76
19.81

f_L6
−6.06
−4.96
−4.28
−10.74

f_L7
−11.85
−10.26
−8.65
−10.27

f_L8
13.37
10.27
9.03
13.10

f_L9
20.64
16.03
14.04
22.47

f_L10
21.90
16.67
14.68
−26.66

f_L11
−29.72
−24.27
−20.66
12.62

f_L12
20.98
15.70
13.61
−10.03

f_L13
−122.15
−46.89
−27.17
−20.20

f_L14
−11.70
−7.84
−7.67
—

Example80
Example81
Example82
Example83

D_oi
42.0
42.0
42.0
95.0

Y_obj
1.9
1.9
1.9
8.2

Y
3.87
3.87
3.87
10.82

L_TL
39.50
39.51
39.51
88.69

L_L
37.80
36.70
36.70
86.69

WD
2.50
2.50
2.50
6.33

BF
1.70
2.81
2.81
2.00

NA
0.32
0.32
0.32
0.33

β
−2.00
−2.00
−2.00
−1.32

f
3.72
4.27
4.22
9.91

φ_G1o
4.74
4.79
4.79
17.51

φ_s
4.35
4.32
4.41
16.65

D_os
16.30
16.95
16.10
46.23

D_G1G2
2.34
2.31
2.42
7.49

L_G1
12.41
13.22
12.19
33.79

L_G2
23.05
21.17
22.09
45.40

CRA_obj(MAX)
5.09
5.06
5.07
5.49

CRA_obj(MIN)
0.00
0.00
0.00
0.00

CRA_img
21.91
21.91
21.76
25.15

D_max
4.64
4.93
5.73
19.80

D_G1max
0.46
0.45
0.28
6.49

νd_max
81.61
81.61
81.61
81.61

νd_min
23.77
23.77
23.77
23.77

N_G1
6.00
6.00
6.00
7.00

N_G2
7.00
7.00
6.00
8.00

f_G1
7.77
7.39
8.00
29.25

f_G2
5.31
6.90
5.81
12.79

f_G1o
−49.08
−38.01
−394.66
−43.59

f_G2i
−9.73
−7.49
−7.20
−28.44

f_L1
−49.08
−38.01
−394.66
−43.59

f_L2
7.81
8.01
8.35
20.83

f_L3
−12.93
−8.77
−11.94
−24.58

f_L4
10.12
7.77
10.11
36.17

f_L5
6.12
7.51
7.13
31.43

f_L6
−3.71
−4.59
−4.14
23.02

f_L7
−9.00
−10.92
−8.71
−13.86

f_L8
8.86
13.97
8.92
−25.64

f_L9
10.55
11.01
9.82
38.61

f_L10
−21.47
68.51
−14.82
35.83

f_L11
13.49
−18.39
13.77
45.75

f_L12
−17.07
14.10
−7.20
−62.24

f_L13
−9.73
−7.49
—
34.74

f_L14
—
—
—
−31.23

f_L15
—
—
—
−28.44

Example84
Example85
Example86
Example87

D_oi
28.4
35.3
33.0
40.0

Y_obj
1.1
1.1
1.2
0.5

Y
2.82
2.86
2.30
2.23

L_TL
24.89
31.65
29.34
39.37

L_L
18.91
28.14
26.24
33.75

WD
3.49
3.60
3.70
0.65

BF
5.98
3.51
3.10
5.63

NA
0.42
0.40
0.40
0.74

β
−2.54
−2.58
−1.99
−4.18

f
5.60
6.09
5.65
2.80

φ_G1o
6.27
4.72
4.52
2.14

φ_s
3.75
3.92
4.29
5.92

D_os
11.35
11.28
11.56
9.99

D_G1G2
0.72
1.07
1.13
0.66

L_G1
6.51
7.17
7.36
9.02

L_G2
11.68
19.90
17.75
24.07

CRA_obj(MAX)
0.57
3.42
4.40
0.56

CRA_obj(MIN)
0.00
0.00
0.00
0.00

CRA_img
9.96
10.12
10.38
10.98

D_max
2.78
4.34
3.45
3.51

D_G1max
0.35
0.05
0.05
0.18

νd_max
81.54
81.61
81.61
81.61

νd_min
30.30
23.88
23.88
23.88

N_G1
4.00
5.00
5.00
5.00

N_G2
6.00
6.00
6.00
6.00

f_G1
4.84
5.13
5.68
3.72

f_G2
6.71
8.69
7.57
4.86

f_G1o
5.76
−20.67
−9.49
−23.50

f_G2i
−5.67
−18.30
−16.04
−12.20

f_L1
5.76
−20.67
−9.49
−23.50

f_L2
−28.93
7.74
7.53
6.67

f_L3
5.78
6.64
5.45
5.74

f_L4
−4.33
5.42
6.45
7.78

f_L5
4.34
−3.10
−3.50
−4.03

f_L6
−5.80
−3.34
−3.72
−5.88

f_L7
−39.03
4.70
5.20
6.11

f_L8
130.77
7.31
6.96
8.22

f_L9
4.80
−4.20
−4.61
−20.92

f_L10
−5.67
8.00
7.57
25.26

f_L11
—
−18.30
−16.04
−12.20

Example88
Example89
Example90
Example91

D_oi
31.5
53.0
59.0
57.0

Y_obj
0.5
0.3
1.4
1.1

Y
2.30
2.30
2.82
2.25

L_TL
30.83
52.83
55.01
53.01

L_L
26.99
37.38
50.04
48.35

WD
0.66
0.21
4.00
4.00

BF
3.84
15.45
4.97
4.66

NA
0.75
0.95
0.39
0.41

β
−4.18
−8.37
−2.04
−2.04

f
1.99
2.62
10.15
9.96

φ_G1o
2.11
1.51
5.57
5.37

φ_s
5.46
8.61
7.00
7.05

D_os
8.62
11.27
27.30
25.23

D_G1G2
0.16
0.49
2.28
2.12

L_G1
7.80
10.95
21.12
19.21

L_G2
19.03
25.94
26.64
27.02

CRA_obj(MAX)
1.33
0.00
2.29
0.88

CRA_obj(MIN)
0.00
−1.04
0.00
0.00

CRA_img
15.86
6.11
5.62
5.61

D_max
3.54
3.75
4.23
4.14

D_G1max
0.05
0.05
2.85
3.46

νd_max
81.61
81.61
94.93
94.93

νd_min
23.88
23.88
23.78
23.78

N_G1
5.00
5.00
6.00
6.00

N_G2
6.00
7.00
7.00
7.00

f_G1
3.45
3.49
9.19
8.65

f_G2
4.02
6.12
14.39
11.93

f_G1o
−16.97
−188.41
−5.35
−5.97

f_G2i
−8.79
−13.18
10.98
17.06

f_L1
−16.97
−188.41
−5.35
−5.97

f_L2
6.44
7.75
7.52
7.45

f_L3
5.26
6.11
15.14
14.61

f_L4
6.83
9.89
16.17
12.63

f_L5
−4.18
−6.16
22.58
65.83

f_L6
−5.93
−8.03
−6.08
−6.36

f_L7
5.06
9.89
−8.66
−9.70

f_L8
7.73
12.25
8.05
7.95

f_L9
−10.04
16.32
9.42
9.41

f_L10
12.64
−13.51
−5.50
−5.29

f_L11
−8.79
20.30
9.06
8.00

f_L12
—
−13.18
−7.93
−9.17

f_L13
—
—
10.98
17.06

Example92
Example93
Example94
Example95

D_oi
81.0
57.0
81.0
42.0

Y_obj
0.5
1.1
0.5
1.9

Y
2.25
2.25
2.25
3.87

L_TL
80.01
53.00
80.01
39.99

L_L
75.35
48.35
74.89
38.29

WD
1.00
4.00
1.00
2.01

BF
4.66
4.65
5.13
1.70

NA
0.74
0.40
0.69
0.32

β
−4.09
−2.04
−4.09
−2.00

f
6.29
9.83
6.84
3.75

φ_G1o
3.08
5.24
2.90
4.91

φ_s
8.97
6.91
8.13
5.58

D_os
25.76
25.31
25.47
13.92

D_G1G2
2.90
2.07
3.59
1.16

L_G1
21.96
19.34
21.84
11.81

L_G2
50.49
26.94
49.45
25.32

CRA_obj(MAX)
0.00
0.99
0.00
1.21

CRA_obj(MIN)
−1.16
0.00
−2.31
0.00

CRA_img
5.61
5.61
5.58
23.82

D_max
17.45
4.13
18.98
4.73

DG1_max
0.10
3.79
3.68
2.81

νd_max
81.61
94.95
81.61
81.61

νd_min
23.78
23.78
23.78
23.77

N_G1
6.00
6.00
5.00
7.00

N_G2
6.00
7.00
6.00
7.00

f_G1
5.80
8.93
5.58
8.64

f_G2
15.76
11.67
18.54
5.35

f_G1o
−12.63
−6.06
13.76
28.96

f_G2i
−64.25
16.31
−53.92
−10.77

f_L1
−12.63
−6.06
13.76
28.96

f_L2
8.98
7.53
25.11
7.91

f_L3
31.87
14.85
29.18
6.66

f_L4
30.81
13.01
8.68
−10.48

f_L5
9.29
66.65
−5.84
−7.74

f_L6
−6.10
−6.38
−7.71
9.09

f_L7
−10.23
−10.84
9.91
11.82

f_L8
12.17
8.38
24.46
−61.10

f_L9
19.79
9.37
−27.09
13.27

f_L10
−35.91
−5.19
20.16
−9.57

f_L11
24.54
8.16
−53.92
−10.77

f_L12
−64.25
−9.11
—
—

f_L13
—
16.31
—
—

Example96

D_oi
42.0

Y_obj
1.9

Y
3.87

L_TL
40.00

L_L
38.30

WD
2.00

BF
1.70

NA
0.32

β
−2.00

f
3.71

φ_G1o
4.88

φ_s
5.76

D_os
14.98

D_G1G2
1.17

L_G1
12.88

L_G2
24.25

CRA_obj(MAX)
1.23

CRA_obj(MIN)
0.00

CRA_img
23.29

D_max
4.22

D_G1max
2.00

νd_max
81.61

νd_min
23.77

N_G1
8.00

N_G2
7.00

f_G1
8.77

f_G2
5.85

f_G1o
42.78

f_G2i
−11.46

f_L1
42.78

f_L2
8.79

f_L3
38.11

f_L4
7.09

f_L5
−13.77

f_L6
−8.18

f_L7
9.73

f_L8
11.92

f_L9
−61.27

f_L10
13.10

f_L11
−8.77

f_L12
−11.46

FIG. 104 is a diagram showing a microscope which is an optical instrument according to the present embodiment. A microscope 1 is a microscope of an upright type. As shown in FIG. 104, the microscope 1 includes a main body 2, a stage 3, an image pickup section 4, an illuminating unit 5, an aiming knob 6, an optical system 7, and an image pickup element 8.

The main body 2 is provided with the stage 3, the image pickup section 4, and the aiming knob 6. A sample is placed on the stage 3. Movement of the stage 3 in an optical axial direction is carried out by the aiming knob 6. The stage 3 is moved by an operation (rotation) of the aiming knob 6, and accordingly, focusing with respect to the sample is possible. For this, a moving mechanism (not shown in the diagram) is provided between the main body 2 and the stage 3.

The image pickup section 4 is provided with the illuminating unit 5. The image pickup section 4 and the illuminating unit 5 are positioned above the stage 3. An illuminating element 5a is disposed to be in a ring shape in the illuminating unit 5. An LED is an example of the illuminating element 5a.

The optical system 7 and the image pickup element 8 are disposed at an interior of the image pickup section 4. The optical system according to the example 1 for instance, is used for the optical system 7. The optical system 7 includes an objective 7a (the lens unit Gf or the first lens unit) and a tube lens 7b (the lens unit Gr or the second lens unit). A front end of the objective 7a is positioned at a central portion of the illuminating unit 5.

Illuminating light is irradiated from the illuminating unit 5. In this case, the illumination is an epi-illumination. Light reflected from the sample travels through the optical system 7 and is incident on the image pickup element 8. A sample image (optical image) is formed on an image pickup surface of the image pickup element 8. The sample image is subjected to photoelectric conversion by the image pickup element 8, and accordingly, an image of the sample is achieved. The image of the sample is displayed on a display unit (not shown in the diagram). In such manner, an observer is able to observe the image of the sample.

Here, the microscope 1 includes the optical system. 7 (the optical system according to the present embodiment). In this optical system 7, the numerical aperture on the image side is large, and various aberrations are corrected favorably. Therefore, in the microscope 1, various aberrations are corrected favorably, and a bright and sharp sample image is achieved.

In the example described above, the optical system was disposed in the image pickup section. However, the arrangement is not restricted to such an arrangement. For example, in an objective (the lens unit Gf or the first lens unit) for which, a parfocal distance is 75 mm, it is possible to dispose the optical system and the image pickup element of the present example in a frame member which holds lenses. In this case, it is possible to install the optical system according to the present embodiment to the revolver similarly as the existing objective lens. When such an arrangement is made, it is possible to use the existing objective lens (the lens unit Gf or the second lens unit) and the optical system according to the present embodiment upon switching over.

Moreover, the description has been made by using the example of the microscope as the optical instrument using the abovementioned optical system. However, the optical system according to the present invention is not restricted to the microscope, for example, the optical system according to the present invention is applicable to an electronic image pickup apparatus (a lens unit for a portable camera, a notebook computer, and a handheld information terminal) as an optical instrument.

Since the image pickup section 4 includes the image pickup element 8, it is possible to assume the image pickup section 4 as an image pickup apparatus. In this case, since a microscope 1 includes the image pickup section 4, the stage 3, and the illuminating unit 5, it can be referred to as an image pickup system. In FIG. 104, the stage 3 is connected to the main body 2 via the aiming mechanism (aiming knob 6). However, the stage 3 may be installed directly on the main body without installing via a moving mechanism. By making such an arrangement, it is possible to integrate the image pickup section 4 and the stage 3 via the main body 2.

FIG. 105 is a diagram showing a microscope which is the optical instrument of the present embodiment. A microscope 10 is a microscope of the upright type. Same reference numerals are assigned to components which are same as in the microscope 1 (FIG. 104), and description of such components is omitted.

An optical system 11 and the image pickup element 8 are disposed at the interior of the image pickup section 4. The optical system according to the example 8 for instance, is used for the optical system 11. The optical system 11 includes a first lens unit 11a (or the lens unit Gf) and the second lens unit 11b (or the lens unit Gr).

In the microscope 1, the illuminating unit 5 has been provided toward the optical system 7. Whereas, in the microscope 10, an illuminating unit 12 is provided on an opposite side of the optical system 11, sandwiching the stage 3 between the illuminating unit 12 and the optical system 11. The illuminating unit 12 includes a light source section 13 and a light guiding fiber 14.

The light source section 13 includes a light source such as a halogen lamp, a mercury lamp, a xenon lamp, an LED (light emitting diode), or a laser. Moreover, the light source section 13 includes a lens. Illuminating light emitted from the light source is incident on an inlet end 15 of the light guiding fiber 14. The illuminating light incident on the light guiding fiber 14 is transmitted through the light guiding fiber 14, and is emerged from an exit end 16.

The exit end 16 of the light guiding member 14 is connected to the stage 3 by a holding mechanism (not shown in the diagram). Here, the exit end 16 of the light guiding fiber 14 is positioned on a lower surface of the stage 3. Therefore, the illuminating light emerged from the exit end 16 is directed from a lower side of the stage 3 toward the optical system 11, and is irradiated to the sample. In this manner, transmitted illumination is carried out in the microscope 10.

Here, the light guiding fiber 14 is held by the stage 3. However, the light guiding fiber 14 may be held by a means other than the stage 3. Moreover, the exit end 16 of the light guiding member 14 may be positioned on an upper surface (the optical system 7 side) of the stage 3. By making such an arrangement, it is possible to carry out the epi-illumination in the microscope 10 similarly as in the microscope 1.

Transmitted light from the sample travels through the optical system 11 and is incident on the image pickup element 8. A sample image (an optical image) is formed on the image pickup surface of the image pickup element 8. The sample image is subjected to photoelectric conversion by the image pickup element 8, and accordingly, an image of the sample is achieved. The image of the sample is displayed on a display unit (not shown in the diagram). In such manner, the observer is able to observe the image of the sample.

The microscope 10 also includes the optical system 11 (the optical system according to the present embodiment). The optical system 11 is an optical system in which aberrations are corrected favorably, while being an optical system having a short overall length, and has a high resolution because of the favorable correction of aberrations. Therefore, in the microscope 10, various aberrations are corrected favorably, and a sample image in which, the microscopic structure is clear, is achieved. The illumination of the microscope 10 may be epi-illumination. Moreover, it is possible to make design modifications appropriately in an arrangement of members which form the microscope 10.

FIG. 106 is a diagram showing a microscope which is an optical instrument of the present embodiment. A microscope 20 is a microscope of an inverted type. The microscope 20 includes a main body 21, a stage 22, the image pickup section 4, an optical system 23, the image pickup element 8, an aiming knob 24, a transmitted illumination light source 25, a reflecting mirror 26, and a condenser lens 27.

Here, the optical system 23 and the image pickup element 8 are disposed at the interior of the image pickup section 4. For the optical system 23, an optical system such as the optical system according to the example 20 is used. The optical system 23 includes a first lens unit (or the lens unit Gf) 23a and a second lens unit (or the lens unit Gr) 23b.

The main body 21 is provided with the stage 22, the image pickup section 4, and the aiming knob 24. A sample is placed on the stage 22. Movement of the image pickup section 4 in the optical axial direction is carried out by the aiming knob 24. The image pickup section 4 is moved by an operation (rotation) of the aiming knob 24, and accordingly, focusing with respect to the sample is possible. For this, a moving mechanism (not shown in the diagram) is provided inside the main body 21, and the image pickup section 4 is held by the moving mechanism.

Moreover, the main body 21 is provided with the transmitted illumination light source 25, the reflecting mirror 26, and the condenser lens 27. The transmitted illumination light source 25, the reflecting mirror 26, and the condenser lens 27 are disposed above the stage 22. Illuminating light emitted from the transmitted illumination light source 25 is reflected at the reflecting mirror 26, and is incident on the condenser lens 27. The condenser lens 27 is positioned above an upper surface of the stage 22. Accordingly, illuminating light emerged from the condenser lens 27 is directed from an upper side of the stage 22 toward the optical system 23, and is irradiated to the sample. In such manner, the transmitted illumination is carried out in the microscope 20.

The microscope 20 also includes the optical system 23 (optical system according to the present embodiment). The optical system 23 is an optical system in which aberrations are corrected favorably, while being an optical system having a short overall length, and has a high resolution because of the favorable correction of aberrations. Therefore, in the microscope 20, various aberrations are corrected favorably, and a sample image in which, the microscopic structure is clear, is achieved. It is possible to make design modifications appropriately in an arrangement of members which form the microscope 20.

FIG. 107A and FIG. 107B are diagrams showing a microscope which is an optical instrument of the present embodiment. FIG. 107A is a diagram showing an arrangement of the microscope, and FIG. 107B is a diagram showing a state in which, a microscope 30 is fixed.

The microscope 30 is a microscope of a portable type. The microscope 30 includes a probe section 31, a control box 32, a light guiding fiber 33, a cable 34, the image pickup section 4, an optical system 35, the image pickup element 8, a light guiding body for illumination 36, and a light source 37.

The optical system 35 and the image pickup element 8 are disposed at the interior of the image pickup section 4. For the optical system 35, an optical system such as the optical system according to the example 61 is used. The optical system 35 includes a first lens unit (or the lens unit Gf), 35a and a second lens unit (or the lens unit Gr) 35b.

The probe section 31 and the control box 32 are connected by the light guiding fiber 33 and the cable 34. The control box 32 includes the light source 37 and a processing section (not shown in the diagram). The processing section processes a video signal from the probe section 31.

The probe section 31 is of a size that enables a user to hold the probe section 31 in a hand. The probe section 31 includes the image pickup section 4 and the light guiding body for illumination 36. The light guiding body for illumination 36 is disposed at an outer peripheral side of the image pickup section 4. The light guiding body for illumination 36 is optically connected to the light guiding fiber 33. Illuminating light emitted from the light source 37 is transmitted through the light guiding fiber 33, and is incident on the light guiding body for illumination 36. The illuminating light is transmitted through the light guiding body for illumination, and is emerged from the probe section 31. In such manner, the epi-illumination is carried out in the microscope 30.

Light reflected from the sample travels through the optical system 35 and is incident on the image pickup element 8. A sample image (an optical image) is formed on the image pickup surface of the image pickup element 8. The sample image is subjected to photoelectric conversion by the image pickup element 8, and accordingly, an image of the sample is achieved. The image of the sample is displayed on the display unit (not shown in the diagram). In such manner, the observer is able to observe the image of the sample.

The probe section 31 is connected to the control box 32 by the light guiding fiber 33 and the cable 34. Therefore, it is possible to set a position and a direction of the probe 31 freely. In this case, fixing of a posture (position and direction) of the probe section 31 is to be carried out by hands of the observer. However, in fixing by the hands of the observer, sometimes there is no sufficient stability.

For stabilizing the posture (position and direction) of the probe section 31, it is preferable to hold the probe section 31 by a mount 38 as shown in FIG. 107B. By doing so, it is possible to stabilize the posture of the probe section 31.

The mount 38 is provided with an aiming knob 39. Movement of the probe section 31 (image pickup section 4) in the optical axial direction is carried out by the aiming knob 39. The probe section 31 is moved by an operation (rotation) of the aiming knob 39, and accordingly, focusing with respect to the sample is possible. For this, a moving mechanism (not shown in the diagram) is provided inside the mount 38.

The microscope 30 also includes the optical system 35 (optical system according to the present embodiment). The optical system 35 is an optical system in which aberrations are corrected favorably, while being an optical system having a short overall length, and has a high resolution because of the favorable correction of aberrations. Therefore, in the microscope 30, various aberrations are corrected favorably, and a sample image in which, the microscopic structure is clear, is achieved. It is possible to make design modifications appropriately in an arrangement of members which form the microscope 30.

In each of the microscope 1, the microscope 10, the microscope 20, and the microscope 30, any optical system from among the optical systems according to the example 1 to the example 96 can be used.

In such manner, the present invention may have various modified examples without departing from the scope of the invention. Shapes and the number of lenses are not restricted to the shapes and the number indicated in the examples described heretofore. A lens which is not shown in the diagrams of the examples described heretofore, and which essentially has no refractive power may be disposed.

According to the present invention, it is possible to provide an optical system in which, an aberration is corrected favorably, and the overall length is short while having a high resolution due to the favorable aberration correction, and an image pickup apparatus, and an image pickup system in which such optical system is used. Moreover, according to the present invention, it is possible to provide an optical system in which, the numerical aperture on the image side is large, and various aberrations are corrected favorably, and an optical instrument in which, such optical system is used.

The present invention also includes the following inventions in addition to the abovementioned inventions.

(Appended Mode 1-1)

An optical system which forms an optical image on an image pickup element including a plurality of pixels arranged in rows two-dimensionally, which converts a light intensity to an electric signal, and a plurality of color filters disposed on the plurality of pixels respectively, comprising in order from an object side,

a first lens unit having a positive refractive power, which includes a plurality of lenses,

a stop, and

a second lens unit which includes a plurality of lenses, wherein

lens units which form the optical system include the first lens unit and the second lens unit, and

the first lens unit includes a first object-side lens which is disposed nearest to an object, and

the second lens unit includes a second image-side lens which is disposed nearest to an image, and

the first lens unit includes a negative lens, and a positive lens which is disposed on the object side of the negative lens, and

the following conditional expressions (15), (16), (19), and (20) are satisfied:

β≦−1.1 (15)

0.08<NA (16)

1.0<WD/BF (19)

0.5<2×(WD×tan(sin⁻¹NA)+Y_obj)/φ_s<4.0 (20)

where,

β denotes an imaging magnification of the optical system,

NA denotes a numerical aperture on the object side of the optical system,

WD denotes a distance on an optical axis from the object up to an object-side surface of the first object-side lens,

BF denotes a distance on the optical axis from an image-side surface of the second image-side lens up to the image,

Y_objdenotes a maximum object height, and

φ_sdenotes a diameter of the stop.

(Appended Mode 1-2)

The optical system according to appended mode 1-1, wherein

the first lens unit includes a first image-side lens which is disposed nearest to the image, and

the following conditional expression (31) is satisfied:

0.1<L_G1/L_G2<1.5 (31)

where,

L_G1denotes a distance on the optical axis from the object-side surface of the first object-side lens up to an image-side surface of the first image-side lens, and

L_G2denotes a distance on the optical axis from an object-side surface of the second object-side lens up to an image side surface of the second image-side lens.

(Appended Mode 1-3)

The optical system according to one of appended modes 1-1 and 1-2, wherein the following conditional expression (25) is satisfied:

0.15<D_os/D_oi<0.8 (25)

where,

D_osdenotes a distance on the optical axis from the object up to the stop, and

D_oidenotes a distance on the optical axis from the object up to the image.

(Appended Mode 1-4)

The optical system according to one of appended modes 1-1 to 1-3, wherein the following conditional expression (23) is satisfied:

0.4<L_L/D_oi (23)

where,

L_Ldenotes a distance on the optical axis from the object-side surface of the first object-side lens up to the image-side surface of the second image-side lens, and

D_oidenotes the distance on the optical axis from the object up to the image.

(Appended Mode 1-5)

The optical system according to one of appended modes 1-1 to 1-4, wherein

the first lens unit includes a first image-side lens which is disposed nearest to the image, and

the following conditional expression (34) is satisfied:

0.5<D_os/L_G1<4.0 (34)

where,

D_osdenotes the distance on the optical axis from the object up to the stop, and

L_G1denotes the distance on the optical axis from the object-side surface of the first object-side lens up to the image-side surface of the first image-side lens.

(Appended Mode 1-6)

The optical system according to one of appended modes 1-1 to 1-5, wherein the following conditional expression (21) is satisfied:

0.01<D_max/φ_s<3.0 (21)

where,

D_maxdenotes a maximum distance from among distances on the optical axis of adjacent lenses in the optical system, and

φ_sdenotes the diameter of the stop.

(Appended Mode 1-7)

The optical system according to one of appended modes 1-1 to 1-6, wherein the following conditional expression (56) is satisfied:

0.78<L_L/D_oi+0.07×WD/BF (56)

where,

L_Ldenotes the distance on the optical axis from the object-side surface of the first object-side lens up to the image-side surface of the second image-side lens,

D_oidenotes the distance on the optical axis from the object up to the image,

WD denotes the distance on the optical axis from the object up to the object-side surface of the first object-side lens, and

BF denotes the distance on the optical axis from the image-side surface of the second image-side lens up to the image.

(Appended Mode 1-8)

The optical system according to one of appended modes 1-1 to 1-7, wherein

the first lens unit includes a first image-side lens which is disposed nearest to the image, and

the following conditional expression (57) is satisfied:

D
_os
/L
_G1−0.39×WD/BF<1.8 (57)

where,

D_osdenotes the distance on the optical axis from the object up to the stop,

L_G1denotes the distance on the optical axis from the object-side surface of the first object-side lens up to the image-side surface of the first image-side lens,

WD denotes the distance on the optical axis from the object up to the object-side surface of the first object-side lens, and

BF denotes the distance on the optical axis from the image-side surface of the second image-side lens up to the image.

(Appended Mode 1-9)

The optical system according to one of appended modes 1-1 to 1-8, wherein the following conditional expression (27) is satisfied:

0<BF/L_L<0.4 (27)

where,

BF denotes the distance on the optical axis from the image-side surface of the second image-side lens up to the image, and

L_Ldenotes the distance on the optical axis from the object-side surface of the first object-side lens up to the image-side surface of the second image-side lens.

(Appended Mode 1-10)

The optical system according to one of appended modes 1-1 to 1-9, wherein the following conditional expressions (35) and (36) are satisfied:

1.0<D_ENP/Y (35)

0≦CRA_obj/CRA_img<0.5 (36)

where,

D_ENPdenotes a distance on the optical axis from a position of an entrance pupil of the optical system up to the object-side surface of the first object-side lens,

Y denotes a maximum image height in an overall optical system,

CRA_objdenotes a maximum angle from among angles made by a principal ray that is incident on the first object-side lens, with the optical axis, and

CRA_imgdenotes a maximum angle from among angles made by a principal ray that is incident on an image plane, with the optical axis, and

an angle measured in a direction of clockwise rotation is let to be a negative angle, and an angle measured in a direction of counterclockwise rotation is let to be a positive angle.

(Appended Mode 1-11)

An optical system according to one of appended modes 1-1 to 1-10, wherein

a conjugate image of an object is formed by the first lens unit, and

a final image of the object is formed by the second lens unit, and

the following conditional expression (18) is satisfied:

−30<(ΔD_G2dC+(ΔD_G1dc×β_G2C²/(1+β_G2C×ΔD_G1dC/f_G2C)))/ε_d<30 (18)

where,

β_G2Cdenotes an imaging magnification for the C-line of the second lens unit when the image point P_G1is let to be the object point of the second lens unit,

f_G2Cdenotes a focal length for the C-line of the second lens unit, and

ε_ddenotes an Airy disc radius for the d-line, which is determined by the numerical aperture on the image side of the optical system, and

the object point and the image point are points on the optical axis, and also include cases of being a virtual object point and a virtual image point.

(Appended Mode 1-12)

The optical system according to one of appended modes 1-1 to 1-11, wherein the following conditional expression (22) is satisfied:

0.01≦D_G1max/φ_s<2.0 (22)

where,

D_G1maxdenotes a maximum distance from among distances on the optical axis of the adjacent lenses in the first lens unit, and

φ_sdenotes the diameter of the stop.

(Appended Mode 1-13)

The optical system according to one of appended modes 1-1 to 1-12, wherein the following conditional expression (24) is satisfied:

0.01<1/νd_min−1/νd_max (24)

where,

νd_mindenotes a smallest Abbe's number from among Abbe's numbers for lenses forming the optical system, and

νd_maxdenotes a largest Abbe's number from among Abbe's numbers for lenses forming the optical system.

(Appended Mode 1-14)

The optical system according to one of appended modes 1-1 to 1-13, wherein the following conditional expression (26) is satisfied:

0.95<φ_G1o/(2×Y/|β|) (26)

where,

φ_G1odenotes an effective diameter of the object-side surface of the first object-side lens,

Y denotes the maximum image height in the overall optical system, and

β denotes the imaging magnification of the optical system.

(Appended Mode 1-15)

The optical system according to one of appended modes 1-1 to 1-14, wherein the following conditional expression (28) is satisfied:

0<BF/Y<7.0 (28)

where,

BF denotes the distance on the optical axis from the image-side surface of the second image-side lens up to the image, and

Y denotes the maximum image height in the overall optical system.

(Appended Mode 1-16)

The optical system according to one of appended modes 1-1 to 1-15, wherein the following conditional expression (29) is satisfied:

−0.2<φ_G1o/R_G1o<3.0 (29)

where,

φ_G1odenotes the effective diameter of the object-side surface of the first object-side lens, and

R_G1odenotes a radius of curvature of the object-side surface of the first object-side lens.

(Appended Mode 1-17)

The optical system according to one of appended modes 1-1 to 1-16, wherein

the second lens unit includes four lenses, and

at least one of the four lenses in the second lens unit is a negative lens, and at least one of the four lenses in the second lens unit is a positive lens, and

an object-side surface of the positive lens from among the positive lenses, which is positioned nearest to the object side, is a convex surface that is convex toward the object side.

(Appended Mode 1-18)

The optical system according to one of appended modes 1-1 to 1-17, wherein

the first lens unit includes a first image-side lens which is disposed nearest to the image side, and

a distance of two lenses positioned on two sides of the stop is fixed, and

the following conditional expression (30) is satisfied:

D
_G1G2/φ_s<2.0 (30)

where,

D_G1G2denotes a distance on the optical axis from the image-side surface of the first image-side lens up to the object-side surface of the second object-side lens, and

φ_sdenotes the diameter of the stop.

(Appended Mode 1-19)

The optical system according to one of appended modes 1-1 to 1-18, wherein the following conditional expression (32) is satisfied:

0.1<L_G1s/L_sG2<1.5 (32)

where,

L_G1sdenotes a distance on the optical axis from the object-side surface of the first object-side lens up to the stop, and

L_sG2denotes a distance on the optical axis from the stop up to the image side surface of the second image-side lens.

(Appended Mode 1-20)

The optical system according to one of appended modes 1-1 to 1-19, wherein the following conditional expression (33) is satisfied:

0.8≦φ_G1max/φ_G2max<5.0 (33)

where,

φ_G1maxdenotes a maximum effective diameter from among effective diameter of lenses in the first lens unit, and

φ_G2maxdenotes a maximum effective diameter from among effective diameter of lenses in the second lens unit.

(Appended Mode 1-21)

The optical system according to one of appended modes 1-1 to 1-20, wherein

the first lens unit includes a first image-side lens which is disposed nearest to the image, and

the following conditional expression (34) is satisfied:

0.5<D_os/L_G1<4.0 (34)

where,

D_osdenotes the distance on the optical axis from the object up to the stop, and

L_G1denotes the distance on the optical axis from the object-side surface of the first object-side lens up to the image-side surface of the first image-side lens.

(Appended Mode 1-22)

The optical system according to one of appended modes 1-1 to 1-21, wherein the following conditional expressions (35) and (36) are satisfied:

1.0<D_ENP/Y (35)

0≦CRA_obj/CRA_img<0 0.5 (36)

where,

D_ENPdenotes the distance on the optical axis from a position of an entrance pupil of the optical system up to the object-side surface of the first object-side lens,

Y denotes the maximum image height in the overall optical system,

CRA_objdenotes the maximum angle from among angles made by a principal ray that is incident on the first object-side lens, with the optical axis, and

CRA_imgdenotes the maximum angle from among angles made by a principal ray that is incident on an image plane, with the optical axis, and

an angle measured in a direction of clockwise rotation is let to be a negative angle, and an angle measured in a direction of counterclockwise rotation is let to be a positive angle.

(Appended Mode 1-23)

The optical system according to one of appended modes 1-1 to 1-22, wherein

the first lens unit includes the first object-side lens, and a lens which is disposed to be adjacent to the first object-side lens, and

at least one of the first object-side lens and the lens disposed to be adjacent to the first object-side lens has a positive refractive power.

(Appended Mode 1-24)

The optical system according to one of appended modes 1-1 to 1-23, wherein the first object-side lens has a positive refractive power.

(Appended Mode 1-25)

The optical system according to one of appended modes 1-1 to 1-24, wherein the following conditional expression (37) is satisfied:

0.05<f_G1o/f (37)

where,

f_G1odenotes a focal length of the first object-side lens, and

f denotes a focal length of the overall optical system.

(Appended Mode 1-26)

The optical system according to one of appended modes 1-1 to 1-25, wherein an object-side surface of the first object-side lens is convex toward the object side.

(Appended Mode 1-27)

The optical system according to one of appended modes 1-1 to 1-26, wherein the following conditional expression (38) is satisfied:

0.02<R_G1o/WD (38)

where,

R_G1odenotes the radius of curvature of the object-side surface of the first object-side lens, and

WD denotes the distance on the optical axis from the object up to the object-side side surface of the first object-side lens.

(Appended Mode 1-28)

The optical system according to one of appended modes 1-1 to 1-27, wherein

the second lens unit includes a predetermined lens unit nearest to the image, and

the predetermined lens unit has a negative refractive power as a whole, and consists a single lens having a negative refractive power or two single lenses, and

the two single lenses consist in order from the object side, a lens having a negative refractive power, and a lens having one of a positive refractive power and a negative refractive power.

(Appended Mode 1-29)

The optical system according to one of appended modes 1-1 to 1-28, wherein

an image-side surface of the second image-side lens is concave toward the image side, and

the following conditional expression (39) is satisfied:

0.1<R_G2i/BF (39)

where,

R_G2idenotes a radius of curvature of the image-side surface of the second image-side lens, and

BF denotes the distance on the optical axis from the image-side surface of the second image-side lens up to the image.

(Appended Mode 1-30)

The optical system according to appended mode 1-28, wherein

a positive lens is disposed toward the object side of the predetermined lens unit, and

the positive lens is disposed to be adjacent to the predetermined lens unit.

(Appended Mode 1-31)

The optical system according to one of appended modes 1-1 to 1-30, wherein

the first lens unit includes a first image-side lens which is disposed nearest to the image, and

an image-side surface of the first image-side lens is concave toward the image side, and

the following conditional expression (40) is satisfied:

0.2<R_G1i/D_G1is (40)

where,

R_G1idenotes a radius of curvature of the image-side surface of the first image-side lens, and

D_G1isdenotes a distance on the optical axis from the image-side surface of the first image-side lens up to the stop.

(Appended Mode 1-32)

The optical system according to one of appended modes 1-1 to 1-31, wherein the following conditional expression (41) is satisfied:

0.5<f_G1o/f_G1<20 (41)

where,

f_G1odenotes the focal length of the first object-side lens, and

f_G1denotes a focal length of the first lens unit.

(Appended Mode 1-33)

The optical system according to one of appended modes 1-1 to 1-32, wherein the following conditional expression (42) is satisfied:

0.01<1/νd_G1min−1/νd_G1max (42)

where,

νd_G1mindenotes a smallest Abbe's number from among Abbe's numbers for lenses forming the first lens unit, and

νd_G1maxdenotes a largest Abbe's number from among Abbe's numbers for lenses forming the first lens unit.

(Appended Mode 1-34)

The optical system according to one of appended modes 1-1 to 1-33, wherein the following conditional expression (43) is satisfied:

0.01<1/νd_G2min−1/νd_G2max (43)

where,

νd_G2mindenotes a smallest Abbe's number from among Abbe's numbers for lenses forming the second lens unit, and

νd_G2maxdenotes a largest Abbe's number from among Abbe's numbers for lenses forming the second lens unit.

(Appended Mode 1-35)

The optical system according to one of appended modes 1-1 to 1-34, wherein the optical system includes at least one positive lens which satisfies the following conditional expression (44):

0.59<θ_gF<0.8 (44)

where,

θ_gFdenotes a partial dispersion ratio of the positive lens, and is expressed by θ_gF=(ng−nF)/(nF−nC), where

nC, nF, and ng denote refractive indices with respect to a C-line, an F-line, and a g-line respectively.

(Appended Mode 1-36)

The optical system according to appended mode 1-35, wherein the positive lens which satisfies conditional expression (44) is included in the first lens unit.

(Appended Mode 1-37)

The optical system according to one of appended modes 1-35 and 1-36, wherein the positive lens which satisfies conditional expression (44), satisfies the following conditional expression (45):

0.3<D_p1s/L_G1s≦1 (45)

where,

D_p1sdenotes a distance on the optical axis from an object-side surface of the positive lens up to the stop, and

L_G1sdenotes the distance on the optical axis from the object-side surface of the first object-side lens up to the stop.

(Appended Mode 1-38)

The optical system according to one of appended modes 1-1 to 1-37, wherein the optical system includes at least one diffractive optical element.

(Appended Mode 1-39)

The optical system according to one of appended modes 1-1 to 1-38, wherein at least one diffractive optical element is disposed at a position which is on the object side of the stop, and at the position which satisfies the following conditional expression (48):

0.1<D_DLs/D_G1is (48)

where,

D_DLsdenotes a distance on the optical axis from the diffractive optical element up to the stop, and

D_G1isdenotes the distance on the optical axis from the image-side surface of the first image-side lens up to the stop.

(Appended Mode 1-40)

The optical system according to one of appended modes 1-1 to 1-39, wherein at least one diffractive optical element is disposed at a position which is on the image side of the stop, and at the position which satisfies the following conditional expression (49):

0.2<D_sDL/L_sG2<0.9 (49)

where,

D_sDLdenotes a distance on the optical axis from the stop up to the diffractive optical element, and

L_sG2denotes a distance on the optical axis from the stop up to the image-side surface of the second image-side lens.

(Appended Mode 1-41)

The optical system according to one of appended modes 1-1 to 1-40, wherein the optical system includes a negative lens which satisfies the following conditional expressions (50) and (51):

0.01<1/νd_n1−1/νd_G1max (50)

0<D_n1s/D_os<0.3 (51)

where,

νd_n1denotes Abbe's number for the negative lens,

νd_G1maxdenotes the largest Abbe's number from among the Abbe's numbers for lenses forming the first lens unit,

D_n1sdenotes a distance on the optical axis from an object-side surface of the negative lens up to the stop, and

D_osdenotes the distance on the optical axis from the object up to the stop.

(Appended Mode 1-42)

The optical system according to one of appended modes 1-1 to 1-41, wherein the optical system includes a negative lens at a position which satisfies the following conditional expression (54):

0.6<D_sn3/D_si<1 (54)

where,

D_sn3denotes a distance on the optical axis from the stop up to an image-side surface of the negative lens, and

D_sidenotes a distance on the optical axis from the stop up to the image.

(Appended Mode 1-43)

An image pickup apparatus comprising:

an optical system according to one of appended modes 1-1 to 1-42; and

an image pickup element.

(Appended Mode 1-44)

The image pickup system comprising:

an image pickup apparatus according to appended mode 1-43;

a stage which holds an object; and

an illuminating unit which illuminates the object.

(Appended Mode 1-45)

The image pickup system according to appended mode 1-44, wherein the image pickup apparatus and the stage are integrated.

(Appended Mode 2-1)

a first lens unit which includes a plurality of lenses,

a stop, and

a second lens unit which includes a plurality of lenses, wherein

lens units which form the optical system include the first lens unit and the second lens unit, and

the first lens unit includes a first object-side lens which is disposed nearest to an object, and

the second lens unit includes a second image-side lens which is disposed nearest to an image, and

the following conditional expressions (16), (21), (23-1), and (24-1) are satisfied:

0.08<NA (16)

0.01<D_max/φ_s<3.0 (21)

0.6≦L_L/D_oi (23-1)

0.015<1/νd_min−1/νd_max (24-1)

where,

NA denotes a numerical aperture on the object side of the optical system,

D_maxdenotes a maximum distance from among distances on an optical axis of adjacent lenses in the optical system,

φ_sdenotes a diameter of the stop,

L_Ldenotes a distance on the optical axis from an object-side surface of the first object-side lens up to an image-side surface of the second image-side lens,

D_oidenotes a distance on the optical axis from the object to the image,

νd_mindenotes a smallest Abbe's number from among Abbe's numbers for lenses forming the optical system, and

νd_maxdenotes a largest Abbe's number from among the Abbe's numbers for lenses forming the optical system.

(Appended Mode 2-2)

The optical system according to appended mode 2-1, wherein the following conditional expressions (35) and (36) are satisfied:

1.0<D_ENP/Y (35)

0≦CRA_obj/CRA_img<0.5 (36)

where,

D_ENPdenotes a distance on the optical axis from a position of an entrance pupil of the optical system up to the object-side surface of the first object-side lens,

Y denotes a maximum image height in an overall optical system,

CRA_objdenotes a maximum angle from among angles made by a principal ray that is incident on the first object-side lens, with the optical axis, and

CRA_imgdenotes a maximum angle from among angles made by a principal ray that is incident on an image plane, with the optical axis, and

an angle measured in a direction of clockwise rotation is let to be a negative angle, and an angle measured in a direction of counterclockwise rotation is let to be a positive angle.

(Appended mode 2-3)

The optical system according to one of appended modes 2-1 and 2-2, wherein the following conditional expression (25-1) is satisfied:

0.15<D_os/D_oi<0.65 (25-1)

where,

D_osdenotes a distance on the optical axis from the object up to the stop, and

D_oidenotes the distance on the optical axis from the object up to the image.

(Appended Mode 2-4)

The optical system according to one of appended modes 2-1 to 2-3, the following conditional expression (27) is satisfied:

0<BF/L_L<0.4 (27)

where,

BF denotes a distance on an optical axis from the image-side surface of the second image-side lens up to the image, and

L_Ldenotes the distance on the optical axis from the object-side surface of the first object-side lens up to the image-side surface of the second image-side lens.

(Appended Mode 2-5)

The optical system according to one of appended modes 2-1 to 2-4, wherein

the second lens unit includes a predetermined lens unit nearest to the image, and

the predetermined lens unit has a negative refractive power as a whole, and consists a single lens having a negative refractive power or two single lenses, and

the two single lenses consist in order from the object side, a lens having a negative refractive power, and a lens having one of a positive refractive power and a negative refractive power.

(Appended Mode 2-6)

The optical system according to one of appended modes 2-1 to 2-5, wherein

the first lens unit includes a first image-side lens which is disposed nearest to the image, and

an image-side surface of the first image-side lens is concave toward the image side, and the following conditional expression (40) is satisfied:

0.2<R_G1i/D_G1is (40)

where,

R_G1idenotes a radius of curvature of the image-side surface of the first image-side lens, and

D_G1isdenotes a distance on the optical axis from the image-side surface of the first image-side lens up to the stop.

(Appended Mode 2-7)

The optical system according to one of appended modes 2-1 to 2-6, wherein

a conjugate image of an object is formed by the first lens unit, and

a final image of the object is formed by the second lens unit, and

the following conditional expression (18) is satisfied:

−30<(ΔD_G2dC+(ΔD_G1dC×β_G2C²/(1+β_G2C×ΔD_G1dC/f_G2C)))/ε_d<30 (18)

where,

β_G2Cdenotes an imaging magnification for the C-line of the second lens unit when the image point P_G1is let to be the object point of the second lens unit,

f_G2Cdenotes a focal length for the C-line of the second lens unit, and

ε_ddenotes an Airy disc radius for the d-line, which is determined by the numerical aperture on the image side of the optical system, and

the object point and the image point are points on the optical axis, and also include cases of being a virtual object point and a virtual image point.

(Appended Mode 2-8)

The optical system according to one of appended modes 2-1 to 2-7, wherein the following conditional expression (22) is satisfied:

0.01<D_G1max/φ_s<2.0 (22)

where,

D_G1maxdenotes a maximum distance from among distances on the optical axis of the adjacent lenses in the first lens unit, and

φ_sdenotes the diameter of the stop.

(Appended Mode 2-9)

The optical system according to one of appended modes 2-1 to 2-8, wherein the following conditional expression (26) is satisfied:

0.95<φ_G1o/(2×Y/|β|) (26)

where,

φ_G1odenotes an effective diameter of the object-side surface of the first object-side lens,

Y denotes the maximum image height in the overall optical system, and

β denotes an imaging magnification of the optical system.

(Appended Mode 2-10)

The optical system according to one of appended modes 2-1 to 2-9, wherein the following conditional expression (28) is satisfied:

0<BF/Y<7.0 (28)

where,

BF denotes the distance on the optical axis from the image-side surface of the second image-side lens up to the image, and

Y denotes the maximum image height in the overall optical system.

(Appended Mode 2-11)

The optical system according to one of appended modes 2-1 to 2-10, wherein

the second lens unit includes four lenses, and

at least one of the four lenses in the second lens unit is a negative lens, and at least one of the four lenses in the second lens unit is a positive lens, and

an object-side surface of the positive lens from among the positive lenses, which is positioned nearest to the object side, is a convex surface that is convex toward the object side.

(Appended Mode 2-12)

The optical system according to one of appended modes 2-1 to 2-11, wherein

the first lens unit includes a first image-side lens which is disposed nearest to the image side, and

a distance of two lenses positioned on two side of the stop is fixed, and

the following conditional expression (30) is satisfied:

D
_G1G2/φ_s<2.0 (30)

where,

D_G1G2denotes a distance on the optical axis from the image-side surface of the first image-side lens up to the object-side surface of the second object-side lens, and

φ_sdenotes the diameter of the stop.

(Appended Mode 2-13)

The optical system according to one of appended modes 2-1 to 2-12, wherein

the first lens unit includes a first image-side lens which disposed nearest to the image, and

the following conditional expression (31) is satisfied:

0.1<L_G1/L_G2<1.5 (31)

where,

L_G1denotes a distance on the optical axis from the object-side surface of the first object-side lens up to an image-side surface of the first image-side lens, and

L_G2denotes a distance on the optical axis from an object-side surface of the second object-side lens up to the image side surface of the second image-side lens.

(Appended Mode 2-14)

The optical system according to one of appended modes 2-1 to 2-13, wherein the following conditional expression (32) is satisfied:

0.1<L_G1s/L_sG2<1.5 (32)

where,

L_G1sdenotes a distance on the optical axis from the object-side surface of the first object-side lens up to the stop, and

L_sG2denotes a distance on the optical axis from the stop up to the image side surface of the second image-side lens.

(Appended Mode 2-15)

The optical system according to one of appended modes 2-1 to 2-14, wherein the following conditional expression (33) is satisfied:

0.8≦φ_G1max/φ_G2max<5.0 (33)

where,

φ_G1maxdenotes a maximum effective diameter from among effective diameter of lenses in the first lens unit, and

φ_G2maxdenotes a maximum effective diameter from among effective diameter apertures of lenses in the second lens unit.

(Appended Mode 2-16)

The optical system according to one of appended modes 2-1 to 2-15, wherein

the first lens unit includes a first image-side lens which is disposed nearest to the image, and

the following conditional expression (34) is satisfied:

0.5<D_os/L_G1<4.0 (34)

where,

D_osdenotes the distance on the optical axis from the object up to the stop, and

L_G1denotes the distance on the optical axis from the object-side surface of the first object-side lens up to the image-side surface of the first image-side lens.

(Appended Mode 2-17)

The optical system according to one of appended modes 2-1 to 2-16, wherein

the first lens unit includes the first object-side lens, and a lens which is disposed to be adjacent to the first object-side lens, and

at least one of the first object-side lens and the lens disposed to be adjacent to the first object-side lens has a positive refractive power.

(Appended Mode 2-18)

The optical system according to one of appended modes 2-1 to 2-17, wherein the first object-side lens has a negative refractive power.

(Appended Mode 2-19)

The optical system according to one of appended modes 2-1 to 2-18, wherein the following conditional expression (37-1) is satisfied:

f
_G1o
/f<−0.01 (37-1)

where,

f_G1odenotes a focal length of the first object-side lens, and

f denotes a focal length of the overall optical system.

(Appended Mode 2-20)

The optical system according to one of appended modes 2-1 to 2-19, wherein an object-side surface of the first object-side lens is concave toward the object side.

(Appended Mode 2-21)

The optical system according to one of appended modes 2-1 to 2-20, wherein the following conditional expression (38-1) is satisfied:

R
_G1o
/WD<−0.1 (38-1)

where,

R_G1odenotes a radius of curvature of the object-side surface of the first object-side lens, and

WD denotes a distance on the optical axis from the object up to the object-side side surface of the first object-side lens.

(Appended Mode 2-22)

The optical system according to one of appended modes 2-1 to 2-21, wherein

an image-side surface of the second image-side lens is concave toward the image side, and

the following conditional expression (39) is satisfied:

0.1≦R_G2i/BF (39)

where,

R_G2idenotes a radius of curvature of the image-side surface of the second image-side lens, and

BF denotes the distance on the optical axis from the image-side surface of the second image-side lens up to the image.

(Appended Mode 2-23)

The optical system according to appended mode 2-5, wherein

a positive lens is disposed on the object side of the predetermined lens unit, and

the positive lens is disposed to be adjacent to the predetermined lens unit.

(Appended Mode 2-24)

The optical system according to one of appended modes 2-1 to 2-23, wherein

a shape of at least one lens surface of the second image-side lens is a shape having an inflection point.

(Appended Mode 2-25)

The optical system according to one of appended modes 2-1 to 2-24, wherein the following conditional expression (42) is satisfied:

0.01<1/νd_G1min−1/νd_G1max (42)

where,

νd_G1mindenotes a smallest Abbe's number from among Abbe's numbers for lenses forming the first lens unit, and

νd_G1maxdenotes a largest Abbe's number from among Abbe's numbers for lenses forming the first lens unit.

(Appended Mode 2-26)

The optical system according to one of appended modes 2-1 to 2-25, wherein the following conditional expression (43) is satisfied:

0.01<1/νd_G2min−1/νd_G2max (43)

where,

νd_G2mindenotes a smallest Abbe's number from among Abbe's numbers for lenses forming the second lens unit, and

νd_G2maxdenotes a largest Abbe's number from among Abbe's numbers for lenses forming the second lens unit.

(Appended Mode 2-27)

The optical system according to one of appended modes 2-1 to 2-26, wherein the optical system includes at least one positive lens which satisfies the following conditional expression (44):

0.59<θ_gF<0.8 (44)

where,

θ_gFdenotes a partial dispersion ratio of the positive lens, and is expressed by θ_gF=(ng−nF)/(nF−nC), where

nC, nF, and ng denote refractive indices with respect to a C-line, an F-line, and a g-line respectively.

(Appended Mode 2-28)

The optical system according to appended mode 2-27, wherein the positive lens which satisfies conditional expression (44) is included in the first lens unit.

(Appended Mode 2-29)

The optical system according to one of appended mode 2-27 and 2-28, wherein the positive lens which satisfies conditional expression (44), satisfies the following conditional expression (45):

0.3<D_p1s/L_G1s≦1 (45)

where,

D_p1sdenotes a distance on the optical axis from an object-side surface of the positive lens up to the stop, and

L_G1sdenotes the distance on the optical axis from an object-side surface of the first object-side lens up to the stop.

(Appended Mode 2-30)

The optical system according to one of appended modes 2-1 to 2-29, wherein the first lens unit has a positive refractive power, and includes at least one diffractive optical element.

(Appended Mode 2-31)

The optical system according to one of appended modes 2-1 to 2-30, wherein at least one diffractive optical element is disposed at a position which is on the object side of the stop, and at the position which satisfies the following conditional expression (48):

0.1<D_DLs/D_G1is (48)

where,

D_DLsdenotes a distance on the optical axis from the diffractive optical element up to the stop, and

D_G1isdenotes the distance on the optical axis from the image-side surface of the first image-side lens up to the stop.

(Appended Mode 2-32)

The optical system according to one of appended modes 2-1 to 2-31, wherein at least one diffractive optical element is disposed at a position which is on the image side of the stop, and at the position which satisfies the following conditional expression (49):

0.2<D_sDL/L_sG2<0.9 (49)

where,

D_sDLdenotes a distance on the optical axis from the stop up to the diffractive optical element, and

L_sG2denotes a distance on the optical axis from the stop up to the image-side surface of the second image-side lens.

(Appended Mode 2-33)

The optical system according to one of appended modes 2-1 to 2-32, wherein the optical system includes a negative lens which satisfies the following conditional expressions (50) and (51):

0.01<1/νd_n1−1/νd_G1max (50)

0<D_n1s/D_os<0.3 (51)

where,

νd_n1denotes Abbe's number for the negative lens,

νd_G1maxdenotes the largest Abbe's number from among the Abbe's numbers for lenses forming the first lens unit,

D_n1sdenotes a distance on the optical axis from an object-side surface of the negative lens up to the stop, and

D_osdenotes the distance on the optical axis from the object up to the stop.

(Appended Mode 2-34)

The optical system according to one of appended modes 2-1 to 2-33, wherein the optical system includes a negative lens at a position which satisfies the following conditional expression (54):

0.6<D_sn3/D_si<1 (54)

where,

D_sn3denotes a distance on the optical axis from the stop up to an image-side surface of the negative lens, and

D_sidenotes a distance on the optical axis from the stop up to the image.

(Appended Mode 2-35)

The optical system according to one of appended modes 2-1 to 2-34, wherein the following conditional expression (56) is satisfied:

0.78<L_L/D_oi+0.07×WD/BF (56)

where,

L_Ldenotes the distance on the optical axis from the object-side surface of the first object-side lens up to the image-side surface of the second image-side lens,

D_oidenotes the distance on the optical axis from the object up to the image,

WD denotes the distance on the optical axis from the object up to the object-side surface of the first object-side lens, and

BF denotes the distance on the optical axis from the image-side surface of the second image-side lens up to the image.

(Appended Mode 2-36)

The optical system according to one of appended modes 2-1 to 2-35, wherein

the first lens unit includes a first image-side lens which is disposed nearest to the image, and

the following conditional expression (57) is satisfied:

D
_os
/L
_G1−0.39×WD/BF<1.8 (57)

where,

D_osdenotes the distance on the optical axis from the object up to the stop,

L_G1denotes the distance on the optical axis from the object-side surface of the first object-side lens up to the image-side surface of the first image-side lens,

WD denotes the distance on the optical axis from the object up to the object-side surface of the first object-side lens, and

BF denotes the distance on the optical axis from the image-side surface of the second image-side lens up to the image.

(Appended Mode 2-37)

An image pickup apparatus comprising:

an optical system according to one of appended modes 2-1 to 2-36; and

an image pickup element.

(Appended Mode 2-38)

An image pickup system comprising:

an image pickup apparatus according to appended mode 2-37;

a stage which holds an object; and

an illuminating unit which illuminates the object.

(Appended Mode 2-39)

The image pickup system according to appended mode 2-38, wherein the image pickup apparatus and the stage are integrated.

(Appended Mode 3-1)

An optical system comprising in order from an object side,

a lens unit Gf having a positive refractive power,

a stop, and

a lens unit Gr having a positive refractive power, and

the following conditional expressions (4-1), (5), (9-1), and (13) are satisfied:

0.08<NA, 0.08<NA′ (4-1)

−2<β<−0.5 (5)

0<d₁/Σd<0.2 (9-1)

−20<Δf_cd/Σd<20 (13)

where,

NA denotes a numerical aperture on the object side of the optical system,

NA′ denotes a numerical aperture on an image side of the optical system,

β denotes a projection magnification of the optical system,

d₁denotes a distance on an optical axis from a surface positioned nearest to the image side of the lens unit Gf up to a surface positioned nearest to the object side of the lens unit Gr,

Σd denotes a sum total of lens thickness on the optical axis of an overall optical system,

εd denotes an Airy disc radius for a d-line which is determined by the numerical aperture on the image side of the optical system, and

(Appended Mode 3-2)

The optical system according to appended mode 3-1, wherein the following conditional expression (6) is satisfied:

0.5<f_OB/f_TL<2 (6)

where,

f_OBdenotes a focal length of the lens unit Gf, and

f_TLdenotes a focal length of the lens unit Gr.

(Appended Mode 3-3)

The optical system according to one of appended modes 3-1 and 3-2, wherein the following conditional expression (14) is satisfied:

0.7<d_SHOB/d_SHTL<1.3 (14)

where,

d_SHOBdenotes a distance on the optical axis from a front principal point of the lens unit Gf up to the stop, and

d_SHTLdenotes a distance on the optical axis from the stop up to a rear principal point of the lens unit Gr.

(Appended Mode 3-4)

The optical system according to one of appended modes 3-1 to 3-3, wherein a positive lens Lf1 is disposed nearest to an image in the lens unit Gf.

(Appended Mode 3-5)

The optical system according to one of appended modes 3-1 to 3-4, wherein the lens unit Gf includes a lens Lfe which is disposed nearest to the object, and at least one lens surface of the lens Lfe has a shape which has an inflection point.

(Appended Mode 3-6)

The optical system according to one of appended modes 3-1 to 3-5, wherein the lens unit Gr includes a lens Lre which is disposed nearest to the image, and at least one lens surface of the lens Lre has a shape which has an inflection point.

(Appended Mode 3-7)

The optical system according to one of appended modes 3-1 to 3-6, wherein the following conditional expressions (7-1) and (8-1) are satisfied:

40%≦MTF_OB (7-1)

40%≦MTF_TL (8-1)

where,

MTF_OBdenotes an MTF on an axis of the lens unit Gf, and is an MTF with respect to a spatial frequency of fc/4,

MTF_TLdenotes an MTF on an axis of the lens unit Gr, and is an MTF with respect to a spatial frequency of fc′/4, where

fc denotes a cut-off frequency with respect to the numerical aperture on the object side of the optical system, and

(Appended Mode 3-8)

The optical system according to one of appended modes 3-1 to 3-7, wherein a positive lens Lr1 is disposed nearest to the object in the lens unit Gr.

(Appended Mode 3-9)

The optical system according to one of appended modes 3-1 to 3-8, wherein a negative lens Lf2 is disposed on the object side of the positive lens Lf1 such that, the negative lens Lf2 is adjacent to the positive lens Lf1.

(Appended Mode 3-10)

The optical system according to one of appended modes 3-1 to 3-9, wherein a negative lens Lr2 is disposed on the image side of the positive lens Lr1 such that, the negative lens Lr2 is adjacent to the positive lens Lr1.

(Appended Mode 3-11)

The optical system according to one of appended modes 3-1 to 3-10, wherein an object-side surface of the negative lens Lf2 is concave toward the object side.

(Appended Mode 3-12)

The optical system according to one of appended modes 3-1 to 3-11, wherein an image-side surface of the negative lens Lr2 is concave toward the image side.

(Appended Mode 3-13)

The optical system according to one of appended modes 3-1 to 3-12, wherein the lens Lfe has a negative refractive power.

(Appended Mode 3-14)

The optical system according to one of appended modes 3-1 to 3-13, wherein the lens Lre has a negative refractive power.

(Appended Mode 3-15)

The optical system according to one of appended modes 3-1 to 3-14, wherein

the optical system includes at least one pair of lenses which satisfies the following conditional expressions (1), (2), and (3), and

one lens in the pair of lenses is included in the lens unit Gf, and

the other lens in the pair of lenses is included in the lens unit Gr:

−1.1<r_OBf/r_TLr<−0.9 (1)

−1.1<r_OBr/r_TLf<−0.9 (2)

−0.1<(d_OB−d_TL)/(d_OB+d_TL)<0.1 (3)

where,

r_OBfdenotes a paraxial radius of curvature of an object-side surface of the one lens in the pair of lenses,

r_OBrdenotes a paraxial radius of curvature of an image-side surface of the one lens in the pair of lenses,

r_TLfdenotes a paraxial radius of curvature of an object-side surface of the other lens in the pair of lenses,

r_TLrdenotes a paraxial radius of curvature of an image-side surface of the other lens in the pair of lenses,

d_OBdenotes a thickness on the optical axis of the one lens in the pair of lenses, and

d_TLdenotes a thickness on the optical axis of the other lens in the pair of lenses.

(Appended Mode 3-16)

The optical system according to one of appended modes 3-1 to 3-15, wherein the following conditional expression (12-1) is satisfied:

−10°<θ_o<30° (12-1)

where,

θ_odenotes an angle made by a normal of a plane perpendicular to the optical axis with a principal ray on the object side.

(Appended Mode 3-17)

An optical instrument comprising:

an optical system according to one of appended modes 3-1 to 3-16; and

an image pickup element.

(Appended Mode 4-1)

An optical system comprising in order from an object side,

a lens unit Gf having a positive refractive power,

a stop, and

a lens unit Gr having a positive refractive power, and the following conditional expressions (4-1), (5), (10-1), and (13) are satisfied:

0.08<NA, 0.08<NA′ (4-1)

−2<β<−0.5 (5)

0<d₂/Σd<2 (10-1)

−20<Δf_cd/Σd<20 (13)

where,

NA denotes a numerical aperture on the object side of the optical system,

NA′ denotes a numerical aperture on an image side of the optical system,

β denotes a projection magnification of the optical system,

d₂denotes a distance on an optical axis from a front principal point of the lens unit Gf up to a rear principal point of the lens unit Gr,

Σd denotes a sum total of lens thickness on the optical axis of an overall optical system,

εd denotes an Airy disc radius for a d-line which is determined by the numerical aperture on the image side of the optical system, and

(Appended Mode 4-2)

The optical system according to appended mode 4-1, wherein the following conditional expression (6) is satisfied:

0.5<f_OB/f_TL<2 (6)

where,

f_OBdenotes a focal length of the lens unit Gf, and

f_TLdenotes a focal length of the lens unit Gr.

(Appended Mode 4-3)

The optical system according to one of appended modes 4-1 and 4-2, wherein the following conditional expression (14) is satisfied:

0.7<d_SHOB/d_SHTL<1.3 (14)

where,

d_SHOBdenotes a distance on the optical axis from the front principal point of the lens unit Gf up to the stop, and

d_SHTLdenotes a distance on the optical axis from the stop up to the rear principal point of the lens unit Gr.

(Appended Mode 4-4)

The optical system according to one of appended modes 4-1 to 4-3, wherein a positive lens Lf1 is disposed nearest to an image in the lens unit Gf.

(Appended Modes 4-5)

The optical system according to one of appended modes 4-1 to 4-4, wherein the lens unit Gf includes a lens Lfe which is disposed nearest to the object, and at least one lens surface of the lens Lfe has a shape which has an inflection point.

(Appended Mode 4-6)

The optical system according to one of appended modes 4-1 to 4-5, wherein the lens unit Gr includes a lens Lre which is disposed nearest to the image, and at least one lens surface of the lens Lre has a shape which has an inflection point.

(Appended Mode 4-7)

The optical system according to one of appended modes 4-1 to 4-6, wherein the following conditional expressions (7-1) and (8-1) are satisfied:

40%≦MTF_OB (7-1)

40%≦MTF_TL (8-1)

where,

MTF_OBdenotes an MTF on an axis of the lens unit Gf, and is an MTF with respect to a spatial frequency of fc/4,

MTF_TLdenotes an MTF on an axis of the lens unit Gr, and is an MTF with respect to a spatial frequency of fc′/4, where

fc denotes a cut-off frequency with respect to the numerical aperture on the object side of the optical system, and

fc′ denotes a cut-off frequency with respect to the numerical aperture on the image side of the optical system, and both MTF_OBand MTF_TLare MTFs at positions at which light is focused when parallel light of an e-line is made to be incident from a direction of the stop side, respectively.

(Appended Mode 4-8)

The optical system according to one of appended modes 4-1 to 4-7, wherein a positive lens Lr1 is disposed nearest to the object in the lens unit Gr.

(Appended Mode 4-9)

The optical system according to one of appended modes 4-1 to 4-8, wherein a negative lens Lf2 is disposed on the object side of the positive lens Lf1 such that, the negative lens Lf2 is adjacent to the positive lens Lf1.

(Appended Mode 4-10)

The optical system according to one of appended modes 4-1 to 4-9, wherein a negative lens Lr2 is disposed on the image side of the positive lens Lr1 such that, the negative lens Lr2 is adjacent to the positive lens Lr1.

(Appended Mode 4-11)

The optical system according to one of appended modes 4-1 to 4-10, wherein an object-side surface of the negative lens Lf2 is concave toward the object side.

(Appended Mode 4-12)

The optical system according to one of appended modes 4-1 to 4-11, wherein an image-side surface of the negative lens Lr2 is concave toward image side.

(Appended Mode 4-13)

The optical system according to one of appended modes 4-1 to 4-12, wherein the lens Lfe has a negative refractive power.

(Appended Mode 4-14)

The optical system according to one of appended modes 4-1 to 4-13, wherein the lens Lre has a negative refractive power.

(Appended Mode 4-15)

The optical system according to one of appended modes 4-1 to 4-14, wherein

the optical system includes at least one pair of lenses which satisfies the following conditional expressions (1), (2), and (3), and

one lens in the pair of lenses is included in the lens unit Gf, and

the other lens in the pair of lenses is included in the lens unit Gr:

−1.1<r_OBf/r_TLr<−0.9 (1)

−1.1<r_OBr/r_TLf<−0.9 (2)

−0.1<(d_OB−d_TL)/(d_OB+d_TL)<0.1 (3)

where,

r_OBfdenotes a paraxial radius of curvature of an object-side surface of the one lens in the pair of lenses,

r_OBrdenotes a paraxial radius of curvature of an image-side surface of the one lens in the pair of lenses,

r_TLfdenotes a paraxial radius of curvature of an object-side surface of the other lens in the pair of lenses,

r_TLrdenotes a paraxial radius of curvature of an image-side surface of the other lens in the pair of lenses,

d_OBdenotes a thickness on the optical axis of the one lens in the pair of lenses, and

d_TLdenotes a thickness on the optical axis of the other lens in the pair of lenses.

(Appended Mode 4-16)

The optical system according to one of appended modes 4-1 to 4-15, wherein the following conditional expression (12-1) is satisfied:

−10°<θ_o<30° (12-1)

where,

θ_odenotes an angle made by a normal of a plane perpendicular to the optical axis with a principal ray on the object side.

(Appended Mode 4-17)

An optical instrument comprising:

an optical system according to one of appended modes 4-1 to 4-16; and

an image pickup element.

(Appended Mode 5-1)

a first lens unit which includes a plurality of lenses,

a stop, and

a second lens unit which includes a plurality of lenses, wherein

lens units which form the optical system include the first lens unit and the second lens unit, and

the first lens unit includes a first object-side lens which is disposed nearest to the object, and

the second lens unit includes a second image-side lens which is disposed nearest to an image, and

a conjugate image of the object is formed by the first lens unit, and

a final image of the object is formed by the second lens unit, and

the following conditional expressions (16), (18), and (25) are satisfied:

0.08<NA (16)

−30<(ΔD_G2dC+(ΔD_G1dc×β_G2C²/(1+β_G2C×ΔD_G1dC/f_G2C)))/ε_d<30 (18)

0.15<D_os/D_oi<0.8 (25)

where,

NA denotes a numerical aperture on the object side of the optical system,

β_G2Cdenotes an imaging magnification for the C-line of the second lens unit when the image point P_G1is let to be the object point of the second lens unit,

f_G2Cdenotes a focal length for the C-line of the second lens unit,

ε_ddenotes an Airy disc radius for the d-line, which is determined by the numerical aperture on the image side of the optical system,

D_osdenotes a distance on the optical axis from the object up to the stop, and

D_oidenotes a distance on the optical axis from the object up to the image, and

the object point and the image point are points on the optical axis, and also include cases of being a virtual object point and a virtual image point.

(Appended Mode 5-2)

The optical system according to appended mode 5-1, wherein the following conditional expression (24) is satisfied:

0.01<1/νd_min−1/νd_max (24)

where,

νd_mindenotes a smallest Abbe's number from among Abbe's numbers for lenses forming the optical system, and

νd_maxdenotes a largest Abbe's number from among Abbe's numbers for lenses forming the optical system.

(Appended Mode 5-3)

The optical system according to one of appended modes 5-1 and 5-2, wherein the following conditional expression (23) is satisfied:

0.4<L_L/D_oi (23)

where,

L_Ldenotes a distance on the optical axis from an object-side surface of the first object-side lens up to an image-side surface of the second image-side lens, and

D_oidenotes the distance on the optical axis from the object up to the image.

(Appended Mode 5-4)

The optical system according to one of appended modes 5-1 to 5-3, wherein

the first lens unit has a positive refractive power, and

the following conditional expression (19) is satisfied:

1.0<WD/BF (19)

where,

WD denotes a distance on the optical axis from the object up to the object-side surface of the first object-side lens, and

BF denotes a distance on the optical axis from the image-side surface of the second image-side lens up to the image.

(Appended Mode 5-5)

The optical system according to one of appended modes 5-1 to 5-4, wherein the following conditional expression (56) is satisfied:

0.78<L_L/D_oi+0.07×WD/BF (56)

where,

L_Ldenotes the distance on the optical axis from the object-side surface of the first object-side lens up to the image-side surface of the second image-side lens,

D_oidenotes the distance on the optical axis from the object up to the image,

WD denotes the distance on the optical axis from the object up to the object-side surface of the first object-side lens, and

BF denotes the distance on the optical axis from the image-side surface of the second image-side lens up to the image.

(Appended Mode 5-6)

The optical system according to one of appended modes 5-1 to 5-5, wherein

the first lens unit includes a first image-side lens which is disposed nearest to the image, and

the following conditional expression (31-1) is satisfied:

0.1<L_G1/L_G2<1.4 (31-1)

where,

L_G1denotes a distance on the optical axis from the object-side surface of the first object-side lens up to an image-side surface of the first image-side lens, and

L_G2denotes a distance on the optical axis from an object-side surface of the second object-side lens up to the image side surface of the second image-side lens.

(Appended Mode 5-7)

The optical system according to one of appended modes 5-1 to 5-6, wherein

the first lens unit includes the first image-side lens which is disposed nearest to the image, and

the following conditional expression (34) is satisfied:

0.5<D_os/L_G1<4.0 (34)

where,

D_osdenotes the distance on the optical axis from the object up to the stop, and

L_G1denotes the distance on the optical axis from the object-side surface of the first object-side lens up to the image-side surface of the first image-side lens.

(Appended Mode 5-8)

The optical system according to one of appended modes 5-1 to 5-7, wherein

the first lens unit includes the first image-side lens which is disposed nearest to the image, and the following conditional expression (57) is satisfied:

D
_os
/L
_G1−0.39×WD/BF<1.8 (57)

where,

D_osdenotes the distance on the optical axis from the object up to the stop,

L_G1denotes the distance on the optical axis from the object-side surface of the first object-side lens up to the image-side surface of the first image-side lens,

WD denotes the distance on the optical axis from the object up to the object-side surface of the first object-side lens, and

BF denotes the distance on the optical axis from the image-side surface of the second image-side lens up to the image.

(Appended Mode 5-9)

The optical system according to one of appended modes 5-1 to 5-8, wherein the following conditional expression (27) is satisfied:

0<BF/L_L<0.4 (27)

where,

BF denotes the distance on the optical axis from the image-side surface of the second image-side lens up to the image, and

L_Ldenotes the distance on the optical axis from the object-side surface of the first object-side lens up to the image-side surface of the second image-side lens.

(Appended Mode 5-10)

The optical system according to one of appended modes 5-1 to 5-9, wherein the following conditional expressions (35) and (36) are satisfied:

1.0<D_ENP/Y (35)

0≦CRA_obj/CRA_img<0.5 (36)

where,

D_ENPdenotes a distance on the optical axis from a position of an entrance pupil of the optical system up to the object-side surface of the first object-side lens,

Y denotes a maximum image height in an overall optical system,

CRA_objdenotes a maximum angle from among angles made by a principal ray that is incident on the first object-side lens, with the optical axis, and

CRA_imgdenotes a maximum angle from among angles made by a principal ray that is incident on an image plane, with the optical axis, and

an angle measured in a direction of clockwise rotation is let to be a negative angle, and an angle measured in a direction of counterclockwise rotation is let to be a positive angle.

(Appended Mode 5-11)

The optical system according to one of appended modes 5-1 to 5-10, wherein

the first lens unit includes a negative lens, and a positive lens which is disposed on the object side of the negative lens, and

the following conditional expression (20-1) is satisfied:

1.0<2×(WD×tan(sin⁻¹NA)+Y_obj)/φ_s<5.0 (20-1)

where,

WD denotes the distance on an optical axis from the object up to the object-side surface of the first object-side lens,

NA denotes the numerical aperture on the object side of the optical system,

Y_objdenotes a maximum object height, and

φ_sdenotes a diameter of the stop.

(Appended Mode 5-12)

The optical system according to one of appended modes 5-1 to 5-11, wherein the following conditional expression (21) is satisfied:

0.01<D_max/φ_s<3.0 (21)

where,

D_maxdenotes a maximum distance from among distances on the optical axis of adjacent lenses in the optical system, and

φ_sdenotes the diameter of the stop.

(Appended Mode 5-13)

The optical system according to one of appended modes 5-1 to 5-12, wherein

the first lens unit includes the first object-side lens, and a lens which is disposed to be adjacent to the first object-side lens, and

at least one of the first object-side lens and the lens disposed to be adjacent to the first object-side lens has a positive refractive power.

(Appended Mode 5-14)

The optical system according to one of appended modes 5-1 to 5-13, wherein

the second lens unit includes a predetermined lens unit nearest to the image, and

the predetermined lens unit has a negative refractive power as a whole, and consists a single lens having a negative refractive power or two single lenses, and

the two single lenses consist in order from the object side, a lens having a negative refractive power, and a lens having one of a positive refractive power and a negative refractive power.

(Appended Mode 5-15)

The optical system according to appended mode 5-14, wherein

a positive lens is disposed on the object side of the predetermined lens unit, and

the positive lens is disposed to be adjacent to the predetermined lens unit.

(Appended Mode 5-16)

The optical system according to one of appended modes 5-1 to 5-15, wherein

the first lens unit includes a first image-side lens which is disposed nearest to the image, and

an image-side surface of the first image-side lens is concave toward the image side, and

the following conditional expression (40) is satisfied:

0.2<R_G1i/D_G1is (40)

where,

R_G1idenotes a radius of curvature of the image-side surface of the first image-side lens, and

D_G1isdenotes a distance on the optical axis from the image-side surface of the first image-side lens up to the stop.

(Appended Mode 5-17)

The optical system according to one of appended modes 5-1 to 5-16, wherein the optical system includes at least one positive lens which satisfies the following conditional expression (44):

0.59<θ_gF<0.8 (44)

where,

θ_gFdenotes a partial dispersion ratio of the positive lens, and is expressed by θ_gF=(ng−nF)/(nF−nC), where

nC, nF, and ng denote refractive indices with respect to a C-line, an F-line, and a g-line respectively.

(Appended Mode 5-18)

The optical system according to appended mode 5-17, wherein the positive lens which satisfies conditional expression (44) is included in the first lens unit.

(Appended Mode 5-19)

The optical system according to one of appended modes 5-17 and 5-18, wherein the positive lens which satisfies conditional expression (44), satisfies the following conditional expression (45):

0.3<D_p1s/L_G1s≦1 (45)

where,

D_p1sdenotes a distance on the optical axis from an object-side surface of the positive lens up to the stop, and

L_G1sdenotes a distance on the optical axis from an object-side surface of the first object-side lens up to the stop.

(Appended Mode 5-20)

The optical system according to one of appended modes 5-1 to 5-19, wherein the following conditional expression (28) is satisfied:

0<BF/Y<7.0 (28)

where,

BF denotes the distance on the optical axis from the image-side surface of the second image-side lens up to the image, and

Y denotes the maximum image height in the overall optical system.

(Appended Mode 5-21)

The optical system according to one of appended modes 5-1 to 5-20, wherein the following conditional expression (22) is satisfied:

0.01D_G1max/φ_s<2.0 (22)

where,

D_G1maxdenotes a maximum distance from among distances on the optical axis of the adjacent lenses in the first lens unit, and

φ_sdenotes the diameter of the stop.

(Appended Mode 5-22)

The optical system according to one of appended modes 5-1 to 5-21, wherein the optical system satisfies the following conditional expression (26) is satisfied:

0.95<φ_G1o/(2×Y/|β|) (26)

where,

φ_G1odenotes an effective diameter of the object-side surface of the first object-side lens,

Y denotes the maximum image height in the overall optical system, and

β denotes an imaging magnification of the optical system.

(Appended Mode 5-23)

The optical system according to one of appended modes 5-1 to 5-22, wherein the following conditional expression (29) is satisfied:

−0.2<φ_G1o/R_G1o<3.0 (29)

where,

φ_G1odenotes the effective diameter of the object-side surface of the first object-side lens, and

R_G1odenotes a radius of curvature of the object-side surface of the first object-side lens.

(Appended Mode 5-24)

The optical system according to one of appended modes 5-1 to 5-23, wherein

the second lens unit includes four lenses, and

at least one of the four lenses in the second lens unit is a negative lens, and at least one of the four lenses in the second lens unit is a positive lens, and

an object-side surface of the positive lens from among the positive lenses, which is positioned nearest to the object side, is a convex surface that is convex toward the object side.

(Appended Mode 5-25)

The optical system according to one of appended modes 5-1 to 5-24, wherein

the first lens unit includes a first image-side lens which is disposed nearest to the image side, and

a distance of two lenses positioned on two side of the stop is fixed, and

the following conditional expression (30) is satisfied:

D
_G1G2/φ_s<2.0 (30)

where,

D_G1G2denotes a distance on the optical axis from the image-side surface of the first image-side lens up to the object-side surface of the second object-side lens, and

φ_sdenotes the diameter of the stop.

(Appended Mode 5-26)

The optical system according to one of appended modes 5-1 to 5-25, wherein the following conditional expression (32) is satisfied:

0.1<L_G1s/L_sG2<1.5 (32)

where,

L_G1sdenotes the distance on the optical axis from the object-side surface of the first object-side lens up to the stop, and

L_sG2denotes a distance on the optical axis from the stop up to the image side surface of the second image-side lens.

(Appended Mode 5-27)

The optical system according to one of appended modes 5-1 to 5-26, wherein the following conditional expression (33) is satisfied:

0.8≦φ_G1max/φ_G2max<5.0 (33)

where,

φ_G1maxdenotes the maximum effective diameter from among effective diameter of lenses in the first lens unit, and

φ_G2maxdenotes a maximum effective diameter from among effective diameter of lenses in the second lens unit.

(Appended Mode 5-28)

The optical system according to one of appended modes 5-1 to 5-27, wherein the first object-side lens has a positive refractive power.

(Appended Mode 5-29)

The optical system according to one of appended modes 5-1 to 5-28, wherein the following conditional expression (37) is satisfied:

0.05<f_G1o/f (37)

where,

f_G1odenotes a focal length of the first object-side lens, and

f denotes a focal length of the overall optical system.

(Appended Mode 5-30)

The optical system according to one of appended modes 5-1 to 5-29, wherein an object-side surface of the first object-side lens is convex toward the object.

(Appended Mode 5-31)

The optical system according to one of appended modes 5-1 to 5-30, wherein the optical system satisfies the following conditional expression (38) is satisfied:

0.02<R_G1o/WD (38)

where,

R_G1odenotes the radius of curvature of the object-side surface of the first object-side lens, and

WD denotes the distance on the optical axis from the object up to the object-side side surface of the first object-side lens.

(Appended Mode 5-32)

The optical system according to one of appended modes 5-1 to 5-31, wherein

an image-side surface of the second image-side lens is concave toward the image side, and

the following conditional expression (39) is satisfied:

0.1≦R_G2i/BF (39)

where,

R_G2idenotes a radius of curvature of the image-side surface of the second image-side lens, and

BF denotes the distance on the optical axis from the image-side surface of the second image-side lens up to the image.

(Appended Mode 5-33)

The optical system according to one of appended modes 5-1 to 5-32, wherein the following conditional expression (41) is satisfied:

0.5<f_G1o/f_G1<20 (41)

where,

f_G1odenotes the focal length of the first object-side lens, and

f_G1denotes a focal length of the first lens unit.

(Appended Mode 5-34)

The optical system according to one of appended modes 5-1 to 5-33, wherein the optical system satisfies the following conditional expression (42) is satisfied:

0.01<1/νd_G1min−1/νd_G1max (42)

where,

νd_G1mindenotes a smallest Abbe's number from among Abbe's numbers for lenses forming the first lens unit, and

νd_G1maxdenotes the largest Abbe's number from among Abbe's numbers for lenses forming the first lens unit.

(Appended Mode 5-35)

The optical system according to one of appended modes 5-1 to 5-34, wherein the following conditional expression (43) is satisfied:

0.01<1/νd_G2min−1/νd_G2max (43)

where,

νd_G2mindenotes a smallest Abbe's number from among Abbe's numbers for lenses forming the second lens unit, and

νd_G2maxdenotes a largest Abbe's number from among Abbe's numbers for lenses forming the second lens unit.

(Appended Mode 5-36)

The optical system according to one of appended modes 5-1 to 5-35, wherein the first lens unit has a positive refractive power, and includes at least one diffractive optical element.

(Appended Mode 5-37)

The optical system according to one of appended modes 5-1 to 5-36, wherein at least one diffractive optical element is disposed at a position which is on the object side of the stop, and at the position which satisfies the following conditional expression (48):

0.1<D_DLs/D_G1is (48)

where,

D_DLsdenotes a distance on the optical axis from the diffractive optical element up to the stop, and

D_G1isdenotes a distance on the optical axis from the image-side surface of the first image-side lens up to the stop.

(Appended Mode 5-38)

The optical system according to one of appended modes 5-1 to 5-37, wherein at least one diffractive optical element is disposed at a position which is on the image side of the stop, and at the position which satisfies the following conditional expression (49):

0.2<D_sDL/L_sG2<0.9 (49)

where,

D_sDLdenotes a distance on the optical axis from the stop up to the diffractive optical element, and

L_sG2denotes a distance on the optical axis from the stop up to the image-side surface of the second image-side lens.

(Appended Mode 5-39)

The optical system according to one of appended modes 5-1 to 5-38, wherein the optical system includes a negative lens which satisfies the following conditional expressions (50) and (51):

0.01<1/νd_n1−1/νd_G1max (50)

0<D_n1s/D_os<0.3 (51)

where,

νd_n1denotes Abbe's number for the negative lens,

νd_G1maxdenotes the largest Abbe's number from among the Abbe's numbers for lenses forming the first lens unit,

D_n1sdenotes a distance on the optical axis from an object-side surface of the negative lens up to the stop, and

D_osdenotes the distance on the optical axis from the object up to the stop.

(Appended Mode 5-40)

The optical system according to one of appended modes 5-1 to 5-39, wherein the optical system includes a negative lens at a position which satisfies the following conditional expression (54):

0.6<D_sn3/D_si<1 (54)

where,

D_sn3denotes a distance on the optical axis from the stop up to an image-side surface of the negative lens, and

D_sidenotes a distance on the optical axis from the stop up to the image.

(Appended Mode 5-41)

The optical system according to one of appended modes 5-1 to 5-40, wherein the following conditional expression (56) is satisfied:

0.78<L_L/D_oi+0.07×WD/BF (56)

where,

L_Ldenotes the distance on the optical axis from the object-side surface of the first object-side lens up to the image-side surface of the second image-side lens,

D_oidenotes the distance on the optical axis from the object up to the image,

WD denotes the distance on the optical axis from the object up to the object-side surface of the first object-side lens, and

BF denotes the distance on the optical axis from the image-side surface of the second image-side lens up to the image.

(Appended Mode 5-42)

The optical system according to one of appended modes 5-1 to 5-41, wherein

the first lens unit includes a first image-side lens which is disposed nearest to the image, and

the following conditional expression (57) is satisfied:

D
_os
/L
_G1−0.39×WD/BF<1.8 (57)

where,

D_osdenotes the distance on the optical axis from the object up to the stop,

L_G1denotes the distance on the optical axis from the object-side surface of the first object-side lens up to the image-side surface of the first image-side lens,

WD denotes the distance on the optical axis from the object up to the object-side surface of the first object-side lens, and

BF denotes the distance on the optical axis from the image-side surface of the second image-side lens up to the image.

(Appended Mode 5-43)

An image pickup apparatus comprising:

an optical system according to one of appended modes 5-1 to 5-42; and

an image pickup element.

(Appended Mode 5-44)

An image pickup system comprising:

an image pickup apparatus according to appended mode 5-43;

a stage which holds an object; and

an illuminating unit which illuminates the object.

(Appended Mode 5-45)

The image pickup system according to appended mode 5-44, wherein the image pickup apparatus and the stage are integrated.

(Appended Mode 5′-2)

The optical system according to appended mode 5-1, wherein the following conditional expression (24) is satisfied:

0.01<1/νd_min−1/νd_max (24)

where,

νd_mindenotes the smallest Abbe's number from among Abbe's numbers for lenses forming the optical system, and

νd_maxdenotes the largest Abbe's number from among Abbe's numbers for lenses forming the optical system.

(Appended Mode 5′-3)

The optical system according to one of appended modes 5-1 and 5′-2, wherein the following conditional expression (23) is satisfied:

0.4<L_L/D_oi (23)

where,

L_Ldenotes the distance on the optical axis from the object-side surface of the first object-side lens up to the image-side surface of the second image-side lens, and

D_oidenotes the distance on the optical axis from the object up to the image.

(Appended Mode 5′-4)

The optical system according to one of appended modes 5-1, 5′-2, and 5′-3, wherein the following conditional expression (21) is satisfied:

0.01<D_max/φ_s<3.0 (21)

where,

D_maxdenotes the maximum distance from among distances on the optical axis of adjacent lenses in the optical system, and

φ_sdenotes the diameter of the stop.

(Appended Mode 5′-5)

The optical system according to one of appended mode 5-1, and appended modes 5′-2 to 5′-4, wherein the following conditional expression (25) is satisfied:

0.15<D_os/D_oi<0.8 (25)

where,

D_osdenotes the distance on the optical axis from the object up to the stop, and

D_oidenotes the distance on the optical axis from the object up to the image.

(Appended Mode 5′-6)

The optical system according to one of appended mode 5-1 and appended modes from 5′-2 to 5′-5, wherein the following conditional expression (27) is satisfied:

0<BF/L_L<0.4 (27)

where,

BF denotes the distance on the optical axis from the image-side surface of the second image-side lens up to the image, and

L_Ldenotes the distance on the optical axis from the object-side surface of the first object-side lens up to the image-side surface of the second image-side lens.

(Appended Mode 5′-7)

The optical system according to one of appended mode 5-1, and appended modes 5′-2 to 5′-6, wherein the following conditional expressions (35) and (36) are satisfied:

1.0<D_ENP/Y (35)

0≦CRA_obj/CRA_img<0.5 (36)

where,

D_ENPdenotes a distance on the optical axis from a position of an entrance pupil of the optical system up to the object-side surface of the first object-side lens,

Y denotes the maximum image height in the overall optical system,

CRA_objdenotes the maximum angle from among angles made by a principal ray that is incident on the first object-side lens, with the optical axis, and

CRA_imgdenotes the maximum angle from among angles made by a principal ray that is incident on an image plane, with the optical axis, and

an angle measured in a direction of clockwise rotation is let to be a negative angle, and an angle measured in a direction of counterclockwise rotation is let to be a positive angle.

(Appended Mode 5′-8)

The optical system according to one of appended mode 5-1 and appended modes 5′-2 to 5′-7, wherein

the second lens unit includes a predetermined lens unit nearest to the image, and

the predetermined lens unit has a negative refractive power as a whole, and consists a single lens having a negative refractive power or two single lenses, and

the two single lenses consist in order from the object side, a lens having a negative refractive power, and a lens having one of a positive refractive power and a negative refractive power.

(Appended Mode 5′-9)

The optical system according to one of appended mode 5-1 and appended modes 5′-2 to 5′-8, wherein

the first lens unit includes a first image-side lens which is disposed nearest to the image, and

an image-side surface of the first image-side lens is concave toward the image side, and

the following conditional expression (40) is satisfied:

0.2<R_G1i/D_G1is (40)

where,

R_G1idenotes the radius of curvature of the image-side surface of the first image-side lens, and

D_G1isdenotes the distance on the optical axis from the image-side surface of the first image-side lens up to the stop.

(Appended Mode 5″-2)

The optical system according to appended mode 5-1, wherein

the first lens unit has a positive refractive power, and

the following conditional expression (19) is satisfied:

1.0<WD/BF (19)

where,

WD denotes the distance on an optical axis from the object up to an object-side surface of the first object-side lens, and

BF denotes the distance on the optical axis from the image-side surface of the second image-side lens up to the image.

(Appended Mode 5″-3)

The optical system according to one of appended modes 5-1 and 5″-2, wherein

the first lens unit includes a negative lens, and a positive lens which is disposed on the object side of the negative lens, and

the following conditional expression (20-1) is satisfied:

1.0<2×(WD×tan(sin⁻¹NA)+Y_obj)/φ_s<5.0 (20-1)

where,

WD denotes the distance on an optical axis from the object up to the object-side surface of the first object-side lens,

NA denotes the numerical aperture on the object side of the optical system,

Y_objdenotes the maximum object height, and

φ_sdenotes the diameter of the stop.

(Appended Mode 5″-4)

The optical system according to one of appended modes 5-1, 5″-2, and 5″-3, wherein the following conditional expression (23) is satisfied:

0.4<L_L/D_oi (23)

where,

L_Ldenotes the distance on the optical axis from the object-side surface of the first object-side lens up to the image-side surface of the second image-side lens, and

D_oidenotes the distance on the optical axis from the object up to the image.

(Appended Mode 5″-5)

The optical system according to one of appended mode 5-1, and appended modes 5″-2 to 5″-4, wherein the following conditional expression (27) is satisfied:

0<BF/L_L<0.4 (27)

where,

BF denotes the distance on the optical axis from the image-side surface of the second image-side lens up to the image, and

L_Ldenotes the distance on the optical axis from the object-side surface of the first object-side lens up to the image-side surface of the second image-side lens.

(Appended Mode 5″-6)

The optical system according to one of appended mode 5-1, and appended modes 5″-2 to 5″-5, wherein the following conditional expressions (35) and (36) are satisfied:

1.0<D_ENP/Y (35)

0≦CRA_obj/CRA_img<0.5 (36)

where,

D_ENPdenotes a distance on the optical axis from a position of an entrance pupil of the optical system up to the object-side surface of the first object-side lens,

Y denotes a maximum image height in the overall optical system,

CRA_objdenotes the maximum angle from among angles made by a principal ray that is incident on the first object-side lens, with the optical axis, and

CRA_imgdenotes the maximum angle from among angles made by a principal ray that is incident on an image plane, with the optical axis, and

an angle measured in a direction of clockwise rotation is let to be a negative angle, and an angle measured in a direction of counterclockwise rotation is let to be a positive angle.

(Appended Mode 5″-7)

The optical system according to one of appended modes 5-1, and appended modes 5″-2 to 5″-6, wherein the following conditional expression (25) is satisfied:

0.15<D_os/D_oi<0.8 (25)

where,

D_osdenotes the distance on the optical axis from the object up to the stop, and

D_oidenotes the distance on the optical axis from the object up to the image.

(Appended Mode 5″-8)

The optical system according to one of appended mode 5-1, and appended modes 5″-2 to 5″-7, wherein

the first lens unit includes a first image-side lens which is disposed nearest to the image, and

the following conditional expression (31-1) is satisfied:

0.1<L_G1/L_G2<1.4 (31-1)

where,

L_G1denotes the distance on the optical axis from the object-side surface of the first object-side lens up to an image-side surface of the first image-side lens, and

L_G2denotes the distance on the optical axis from an object-side surface of the second object-side lens up to the image side surface of the second image-side lens.

(Appended Mode 5″-9)

The optical system according to one of appended mode 5-1, and appended modes 5″-2 to 5″-8, wherein

the first lens unit includes the first image-side lens which is disposed nearest to the image, and

the following conditional expression (34) is satisfied:

0.5<D_os/L_G1<4.0 (34)

where,

D_osdenotes the distance on the optical axis from the object up to the stop, and

L_G1denotes the distance on the optical axis from the object-side surface of the first object-side lens up to the image-side surface of the first image-side lens.

(Appended Mode 5″-10)

The optical system according to one of appended mode 5-1, and appended modes 5″-2 to 5″-9, wherein the following conditional expression (21) is satisfied:

0.01<D_max/φ_s<3.0 (21)

where,

D_maxdenotes a maximum distance from among distances on the optical axis of adjacent lenses in the optical system, and

φ_sdenotes the diameter of the stop.

(Appended Mode 5″-11)

The optical system according to one of appended mode 5-1, and appended modes 5″-2 to 5″-10, wherein the following conditional expression (56) is satisfied:

0.78<L_L/D_oi+0.07×WD/BF (56)

where,

L_Ldenotes the distance on the optical axis from the object-side surface of the first object-side lens up to the image-side surface of the second image-side lens,

D_oidenotes the distance on the optical axis from the object up to the image,

WD denotes the distance on the optical axis from the object up to the object-side surface of the first object-side lens, and

BF denotes the distance on the optical axis from the image-side surface of the second image-side lens up to the image.

(Appended Mode 5″-12)

The optical system according one of appended modes 5-1, and appended modes 5″-2 to 5″-11, wherein

the first lens unit includes a first image-side lens which is disposed nearest to the image, and

the following conditional expression (57) is satisfied:

D
_os
/L
_G1−0.39×WD/BF<1.8 (57)

where,

D_osdenotes the distance on the optical axis from the object up to the stop,

L_G1denotes the distance on the optical axis from the object-side surface of the first object-side lens up to the image-side surface of the first image-side lens,

WD denotes the distance on the optical axis from the object up to the object-side surface of the first object-side lens, and

BF denotes the distance on the optical axis from the image-side surface of the second image-side lens up to the image.

As described heretofore, the present invention is suitable for an optical system in which, the numerical aperture on the image side is large, and various aberrations are corrected favorably, and an optical instrument in which such optical system is used. Moreover, the present invention is suitable for an optical system in which, an aberration is corrected favorably, and while having a high resolution because of the favorable correction of aberration, the overall length of the optical system is short, and for an image pickup apparatus and an image pickup system in which such optical system is used.

	Number	Date	Country
Parent	14529885	Oct 2014	US
Child	14830283		US

	Number	Date	Country
Parent	PCT/JP2013/075153	Sep 2013	US
Child	14529885		US

Optical System and Optical Instrument, Image Pickup Apparatus, and Image Pickup System Using the Same

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