Image forming optical system and electronic image pickup apparatus equipped with same

BACKGROUND OF THE INVENTION

1. Field of the Invention

The present invention relates to an image forming optical system and an electronic image pickup apparatus equipped with the same.

2. Description of the Related Art

In recent years, an image pickup apparatus such as a digital camera has become popular, replacing a silver-salt film camera. In a digital camera, an object is captured by using a solid image pickup element such as a CCD (charge coupled device) and a CMOS (complementary metal oxide semiconductor). It is desirable that an image pickup lens which is to be used in such image pickup apparatus is a zoom lens (image forming lens) with a high zoom ratio.

Moreover, in such image pickup lens, it is desirable that an aberration related to an image forming performance (such as a spherical aberration and a coma aberration) with single color has been corrected favorably. Furthermore, it is desirable that a correction of the chromatic aberration related to color spreading and resolution of image is corrected sufficiently.

On the other hand, shortening of an overall length of lens (overall optical length) is desired. Incidentally, as shortening of the overall length of lens and small-sizing of an optical system as a whole are facilitated, various aberrations, particularly the chromatic aberration occur substantially, and the image forming performance tends to be degraded. Particularly, in a zoom lens having a long focal length at a telephoto end with a high zoom ratio, as a correction of the chromatic aberration, a reduction of a secondary spectrum in addition to a primary achromatism has been sought.

As a method for reducing an occurrence of such chromatic aberration, a method in which an optical material having an abnormal partial dispersion ratio is to be used, has been known (Japanese Patent Application Laid-open Publication Nos. 2007-163964, 2006-349947, and 2007-298555).

Moreover, it is desirable that a zoom lens to be used in the image pickup apparatus has a predetermined zoom ratio, and a wide angle end is a wide angle of field, and has a brighter and improved performance. For improving the performance of the zoom lens, it is necessary to correct the chromatic aberration favorably over the entire zoom range.

SUMMARY OF THE INVENTION

An image forming optical system according to a first aspect of the present invention includes in order from an object side to an image side

a first lens group having a positive refractive power;

a second lens group having a negative refractive power; and

an image-side lens group having a positive refractive power, and

a distance between the first lens group and the second lens group changes at the time of zooming, and

a refractive optical element A having a positive refractive power is positioned in the first lens group, and

the image forming optical system satisfies the following conditional expression (1-1), conditional expression (1-2), and conditional expression (2)

νd_A<30 (1-1)

0.54<θgF_A<0.9 (1-2)

|fG1/fG2|>6.4 (2)

where,

nd_A, nC_A, nF_A, and ng_Adenote refractive indices of the refractive optical element A for a d-line, a C-line, an F-line, and a g-line respectively,

νd_Adenotes Abbe's number (nd_A−1)/(nF_A−nC_A) for the refractive optical element A,

θgF_Adenotes a partial dispersion ratio (ng_A−nF_A)/(nF_A−nC_A) of the refractive optical element A,

fG1 denotes a focal length of the first lens group, and

fG2 denotes a focal length of the second lens group.

An electronic image pickup apparatus according to a second aspect of the present invention includes

an image forming optical system, and

an image pickup element, and

the image forming optical system includes in order from an object side to an image side, a first lens group having a positive refractive power, a second lens group having a negative refractive power, and an image-side lens group having a positive refractive power, and a distance between the first lens group and the second lens group changes at the time of zooming, and

a refractive optical element having a positive refractive power is positioned in the first lens group, and

the refractive optical element satisfies the following conditional expression (3-2)

0<(Zb(3.3a)−Za(3.3a))/(Zb(2.5a)−(Za(2.5a))<0.895 (3-2)

where,

fw denotes a focal length of the image forming optical system, at a wide angle end,

ft denotes a focal length of the image forming optical system, at a telephoto end,

IH denotes the maximum image height on the image pickup element,

Za(h) denotes an optical axial distance between an apex (a vertex) of an object-side surface on an optical axis, of the refractive optical element A and a position at a height h on the object side of the refractive optical element A,

Zb(h) denotes an optical axial distance between the apex of the object-side surface on the optical axis, of the refractive optical element and a position at a height h on the image side of the refractive optical element A,

a denotes a value defined by the following expression (3-1)

a={(IH)²×log₁₀(ft/fw)}/fw (3-1).

An electronic image pickup apparatus according to a third aspect of the present invention includes

an image forming optical system; and

an image pickup element, and

a cemented optical element D is provided in the first lens group, and

the cemented optical element D is arranged such that, a refractive optical element A having a positive refractive power is positioned between an optical element B which is positioned on the object side and an optical element C which is positioned on the image side, and

the electronic image pickup apparatus satisfies the following conditional expression (4-1), conditional expression (4-2), and conditional expression (4-3)

νd_A<30 (4-1)

0.54<θgF_A<0.9 (4-2)

0.387<(Tnglw(0.7)/Tbasw(0.7))/(Tngl(0)/Tbas(0))<0.525 (4-3)

where,

νd_Adenotes Abbe's number (nd_A−1)/(nF_A−nC_A) for the refractive optical element A,

θgF_Adenotes a partial dispersion ratio (ng_A−nF_A)/(nF_A−nC_A) of the refractive optical element A,

nd_A, nC_A, nF_A, and ng_Adenote refractive indices of the refractive optical element A for a d-line, a C-line, an F-line, and a g-line respectively,

Tngl(0) denotes a central thickness on an axis of the refractive optical element A,

Tnglw(0.7) denotes a length of a light ray having a height 70% of the maximum light ray height on the image pickup element at the wide angle end, passing through the refractive optical element A,

Tbas(0) denotes a central thickness on an axis of the optical element B, and

Tbasw(0.7) denotes a length of a light ray having a height 70% of the maximum light ray height on the image pickup element at the wide angle end, passing through the optical element B.

An electronic image pickup apparatus according to a fourth aspect of the present invention includes

an image forming optical system, and

an image pickup element, and

the image forming optical system is the abovementioned image forming optical system, and satisfies the following conditional expression (3-2)

0<(Zb(3.3a)−Za(3.3a))/(Zb(2.5a)−(Za(2.5a))<0.895 (3-2)

where,

fw denotes a focal length of the image forming optical system, at a wide angle end,

ft denotes a focal length of the image forming optical system, at a telephoto end,

IH denotes the maximum image height on the image pickup element,

Za(h) denotes an optical axial distance between an apex of an object-side surface on an optical axis, of the refractive optical element A and a position at a height h on the object side of the refractive optical element A,

a denotes a value defined by the following expression (3-1)

a={(IH)²×log₁₀(ft/fw)}/fw (3-1).

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1A, FIG. 1B, and FIG. 1C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object focusing of a zoom lens (image forming optical system) according to a first embodiment of the present invention, where, FIG. 1A shows a state at a wide angle end, FIG. 1B shows an intermediate focal length state, and FIG. 1C shows a state at a telephoto end;

FIG. 2A, FIG. 2B, and FIG. 2C are diagrams showing a spherical aberration, an astigmatism, a distortion, and a chromatic aberration of magnification at the time of infinite object point focusing of the zoom lens according to the first embodiment, where, FIG. 2A shows a state at the wide angle end, FIG. 2B shows an intermediate focal length state, and FIG. 2C shows a state at the telephoto end;

FIG. 3A, FIG. 3B, and FIG. 3C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of a zoom lens according to a second embodiment of the present invention, where, FIG. 3A shows a state at a wide angle end, FIG. 3B shows an intermediate focal length state, and FIG. 3C shows a state at a telephoto end;

FIG. 4A, FIG. 4B, and FIG. 4C are diagrams showing a spherical aberration, an astigmatism, a distortion, and a chromatic aberration of magnification at the time of infinite object point focusing of the zoom lens according to the second embodiment, where, FIG. 4A shows a state at the wide angle end, FIG. 4B shows an intermediate focal length state, and FIG. 4C shows a state at the telephoto end;

FIG. 5A, FIG. 5B, and FIG. 5C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of a zoom lens according to a third embodiment of the present invention, where, FIG. 5A shows a state at a wide angle end, FIG. 5B shows an intermediate focal length state, and FIG. 5C shows a state at a telephoto end;

FIG. 6A, FIG. 6B, and FIG. 6C are diagrams showing a spherical aberration, an astigmatism, a distortion, and a chromatic aberration of magnification at the time of infinite object point focusing of the zoom lens according to the third embodiment, where, FIG. 6A shows a state at the wide angle end, FIG. 6B shows an intermediate focal length state, and FIG. 6C shows a state at the telephoto end;

FIG. 7A, FIG. 7B, and FIG. 7C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of a zoom lens according to a fourth embodiment of the present invention, where, FIG. 7A shows a state at a wide angle end, FIG. 7B shows an intermediate focal length state, and FIG. 7C shows a state at a telephoto end;

FIG. 8A, FIG. 8B, and FIG. 8C are diagrams showing a spherical aberration, an astigmatism, a distortion, and a chromatic aberration of magnification at the time of infinite object point focusing of the zoom lens according to the fourth embodiment, where, FIG. 8A shows a state at the wide angle end, FIG. 8B shows an intermediate focal length state, and FIG. 8C shows a state at the telephoto end;

FIG. 9A, FIG. 9B, and FIG. 9C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of a zoom lens according to a fifth embodiment of the present invention, where, FIG. 9A shows a state at a wide angle end, FIG. 9B shows an intermediate focal lengths state, and FIG. 9C shows a state at a telephoto end;

FIG. 10A, FIG. 10B, and FIG. 10C are diagrams showing a spherical aberration, an astigmatism, a distortion, and a chromatic aberration of magnification at the time of infinite object point focusing of the zoom lens according to the fifth embodiment, where, FIG. 10A shows a state at the wide angle end, FIG. 10B shows an intermediate focal length state, and FIG. 10C shows a state at the telephoto end;

FIG. 11A, FIG. 11B, and FIG. 11C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of a zoom lens according to a sixth embodiment of the present invention, where, FIG. 11A shows a state at a wide angle end, FIG. 11B shows an intermediate focal length state, and FIG. 11C shows a state at a telephoto end;

FIG. 12A, FIG. 123, and FIG. 12C are diagrams showing a spherical aberration, an astigmatism, a distortion, and a chromatic aberration of magnification at the time of infinite object point focusing of the zoom lens according to the sixth embodiment, where, FIG. 12A shows a state at the wide angle end, FIG. 12B shows an intermediate focal length state, and FIG. 12C shows a state at the telephoto end;

FIG. 13A, FIG. 13B, and FIG. 13C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of a zoom lens according to a seventh embodiment of the present invention, where, FIG. 13A shows a state at a wide angle end, FIG. 13B shows an intermediate focal length state, and FIG. 13C shows a state at a telephoto end;

FIG. 14A, FIG. 14B, and FIG. 14C are diagrams showing a spherical aberration, an astigmatism, a distortion, and a chromatic aberration of magnification at the time of infinite object point focusing of the zoom lens according to the seventh embodiment, where, FIG. 14A shows a state at the wide angle end, FIG. 14B shows an intermediate focal length state, and FIG. 14C shows a state at the telephoto end;

FIG. 15A, FIG. 15B, and FIG. 15C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of a zoom lens according to an eighth embodiment of the present invention, where, FIG. 15A shows a state at a wide angle end, FIG. 15B shows an intermediate focal length state, and FIG. 15C shows a state at a telephoto end;

FIG. 16A, FIG. 16B, and FIG. 16C are diagrams showing a spherical aberration, an astigmatism, a distortion, and a chromatic aberration of magnification at the time of infinite object point focusing of the zoom lens according to the eighth embodiment, where, FIG. 16A shows a state at the wide angle end, FIG. 16B shows an intermediate focal length state, and FIG. 16C shows a state at the telephoto end;

FIG. 17A, FIG. 17B, and FIG. 17C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of a zoom lens according to a ninth embodiment of the present invention, where, FIG. 17A shows a state at a wide angle end, FIG. 17B shows an intermediate focal length state, and FIG. 17C shows a state at a telephoto end;

FIG. 18A, FIG. 18B, and FIG. 18C are diagrams showing a spherical aberration, an astigmatism, a distortion, and a chromatic aberration of magnification at the time of infinite object point focusing of the zoom lens according to the ninth embodiment, where, FIG. 18A shows a state at the wide angle end, FIG. 18B shows an intermediate focal length state, and FIG. 18C shows a state at the telephoto end;

FIG. 19A, FIG. 19B, and FIG. 19C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of a zoom lens according to a tenth embodiment of the present invention, where, FIG. 19A shows a state at a wide angle end, FIG. 19B shows an intermediate focal length state, and FIG. 19C shows a state at a telephoto end;

FIG. 20A, FIG. 20B, and FIG. 20C are diagrams showing a spherical aberration, an astigmatism, a distortion, and a chromatic aberration of magnification at the time of infinite object point focusing of the zoom lens according to the tenth embodiment, where, FIG. 20A shows a state at the wide angle end, FIG. 20B shows an intermediate focal length state, and FIG. 20C shows a state at the telephoto end;

FIG. 21A, FIG. 21B, and FIG. 21C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of a zoom lens according to an eleventh embodiment of the present invention, where, FIG. 21A shows a state at a wide angle end, FIG. 21B shows an intermediate focal length state, and FIG. 21C shows a state at a telephoto end;

FIG. 22A, FIG. 22B, and FIG. 22C are diagrams showing a spherical aberration, an astigmatism, a distortion, and a chromatic aberration of magnification at the time of infinite object point focusing of the zoom lens according to the eleventh embodiment, where, FIG. 22A shows a state at the wide angle end, FIG. 22B shows an intermediate focal length state, and FIG. 22c shows a state at the telephoto end;

FIG. 23A, FIG. 23B, and FIG. 23C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of a zoom lens according to a twelfth embodiment of the present invention, where, FIG. 23A shows a state at a wide angle end, FIG. 23B shows an intermediate focal length state, and FIG. 23C shows a state at a telephoto end;

FIG. 24A, FIG. 24B, and FIG. 24C are diagrams showing a spherical aberration, an astigmatism, a distortion, and a chromatic aberration of magnification at the time of infinite object point focusing of the zoom lens according to the twelfth embodiment, where, FIG. 24A shows a state at the wide angle end, FIG. 24B shows an intermediate focal length state, and FIG. 24C shows a state at the telephoto end;

FIG. 25A, FIG. 25B, and FIG. 25C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of a zoom lens according to a thirteenth embodiment of the present invention, where, FIG. 25A shows a state at a wide angle end, FIG. 25B shows an intermediate focal length state, and FIG. 25C shows a state at a telephoto end;

FIG. 26A, FIG. 26B, and FIG. 26C are diagrams showing a spherical aberration, an astigmatism, a distortion, and a chromatic aberration of magnification at the time of infinite object point focusing of the zoom lens according to the thirteenth embodiment, where, FIG. 26A shows a state at the wide angle end, FIG. 26B shows an intermediate focal length state, and FIG. 26C shows a state at the telephoto end;

FIG. 27A, FIG. 27B, and FIG. 27C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of a zoom lens according to a fourteenth embodiment of the present invention, where, FIG. 27A shows a state at a wide angle end, FIG. 27B shows an intermediate focal length state, and FIG. 27C shows a state at a telephoto end;

FIG. 28A, FIG. 28B, and FIG. 28C are diagrams showing a spherical aberration, an astigmatism, a distortion, and a chromatic aberration of magnification at the time of infinite object point focusing of the zoom lens according to the fourteenth embodiment, where, FIG. 28A shows a state at the wide angle end, FIG. 28B shows an intermediate focal length state, and FIG. 28C shows a state at the telephoto end;

FIG. 29A, FIG. 29B, and FIG. 29C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of a zoom lens according to a fifteenth embodiment of the present invention, where, FIG. 29A shows a state at a wide angle end, FIG. 29B shows an intermediate focal length state, and FIG. 29C shows a state at a telephoto end;

FIG. 30A, FIG. 30B, and FIG. 30C are diagrams showing a spherical aberration, an astigmatism, a distortion, and a chromatic aberration of magnification at the time of infinite object point focusing of the zoom lens according to the fifteenth embodiment, where, FIG. 30A shows a state at the wide angle end, FIG. 30B shows an intermediate focal length state, and FIG. 30C shows a state at the telephoto end;

FIG. 31A, FIG. 31B, and FIG. 31C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of a zoom lens according to a sixteenth embodiment of the present invention, where, FIG. 31A shows a state at a wide angle end, FIG. 31B shows an intermediate focal length state, and FIG. 31C shows a state at a telephoto end;

FIG. 32A, FIG. 32B, and FIG. 32C are diagrams showing a spherical aberration, an astigmatism, a distortion, and a chromatic aberration of magnification at the time of infinite object point focusing of the zoom lens according to the sixteenth embodiment, where, FIG. 32A shows a state at the wide angle end, FIG. 32B shows an intermediate focal length state, and FIG. 32C shows a state at the telephoto end;

FIG. 33A, FIG. 33B, and FIG. 33C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of a zoom lens according to a seventeenth embodiment of the present invention, where, FIG. 33A shows a state at a wide angle end, FIG. 33B shows an intermediate focal length state, and FIG. 33C shows a state at a telephoto end;

FIG. 34A, FIG. 34B, and FIG. 34C are diagrams showing a spherical aberration, an astigmatism, a distortion, and a chromatic aberration of magnification at the time of infinite object point focusing of the zoom lens according to the seventeenth embodiment, where, FIG. 34A shows a state at the wide angle end, FIG. 34B shows an intermediate focal length state, and FIG. 34C shows a state at the telephoto end;

FIG. 35A, FIG. 35B, and FIG. 35C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of a zoom lens according to an eighteenth embodiment of the present invention, where, FIG. 35A shows a state at a wide angle end, FIG. 35B shows an intermediate focal length state, and FIG. 35C shows a state at a telephoto end;

FIG. 36A, FIG. 36B, and FIG. 36C are diagrams showing a spherical aberration, an astigmatism, a distortion, and a chromatic aberration of magnification at the time of infinite object point focusing of the zoom lens according to the eighteenth embodiment, where, FIG. 36A shows a state at the wide angle end, FIG. 36B shows an intermediate focal length state, and FIG. 36C shows a state at the telephoto end;

FIG. 37A, FIG. 37B, and FIG. 37C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of a zoom lens according to a nineteenth embodiment of the present invention, where, FIG. 37A shows a state at a wide angle end, FIG. 37B shows an intermediate focal length state, and FIG. 37C shows a state at a telephoto end;

FIG. 38A, FIG. 38B, and FIG. 38C are diagrams showing a spherical aberration, an astigmatism, a distortion, and a chromatic aberration of magnification at the time of infinite object point focusing of the zoom lens according to the nineteenth embodiment, where, FIG. 38A shows a state at the wide angle end, FIG. 38B shows an intermediate focal length state, and FIG. 38C shows a state at the telephoto end;

FIG. 39A, FIG. 39B, and FIG. 39C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of a zoom lens according to a twentieth embodiment of the present invention, where, FIG. 39A shows a state at a wide angle end, FIG. 39B shows an intermediate focal length state, and FIG. 39C shows a state at a telephoto end;

FIG. 40A, FIG. 40B, and FIG. 40C are diagrams showing a spherical aberration, an astigmatism, a distortion, and a chromatic aberration of magnification at the time of infinite object point focusing of the zoom lens according to the twentieth embodiment, where, FIG. 40A shows a state at the wide angle end, FIG. 40B shows a intermediate focal length state, and FIG. 40C shows a state at the telephoto end;

FIG. 41A, FIG. 41B, and FIG. 41C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of a zoom lens according to a twenty first embodiment of the present invention, where, FIG. 41A shows a state at a wide angle end, FIG. 41B shows an intermediate focal length state, and FIG. 41C shows a state at a telephoto end;

FIG. 42A, FIG. 42B, and FIG. 42C are diagrams showing a spherical aberration, an astigmatism, a distortion, and a chromatic aberration of magnification at the time of infinite object point focusing of the zoom lens according to the twenty first embodiment, where, FIG. 42A shows a state at the wide angle end, FIG. 42B shows an intermediate focal length state, and FIG. 42C shows a state at the telephoto end;

FIG. 43A, FIG. 43B, and FIG. 43C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of a zoom lens according to a twenty second embodiment of the present invention, where, FIG. 43A shows a state at a wide angle end, FIG. 43B shows an intermediate focal length state, and FIG. 43C shows a state at a telephoto end;

FIG. 44A, FIG. 44B, and FIG. 44C are diagrams showing a spherical aberration, an astigmatism, a distortion, and a chromatic aberration of magnification at the time of infinite object point focusing of the zoom lens according to the twenty second embodiment, where, FIG. 44A shows a state at the wide angle end, FIG. 44B shows an intermediate focal length state, and FIG. 44C shows a state at the telephoto end;

FIG. 45A, FIG. 45B, and FIG. 45C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of a zoom lens according to a twenty third embodiment of the present invention, where, FIG. 45A shows a state at a wide angle end, FIG. 45B shows an intermediate focal length state, and FIG. 45C shows a state at a telephoto end;

FIG. 46A, FIG. 46B, and FIG. 46C are diagrams showing a spherical aberration, an astigmatism, a distortion, and a chromatic aberration of magnification at the time of infinite object point focusing of the zoom lens according to the twenty third embodiment, where, FIG. 46A shows a state at the wide angle end, FIG. 46B shows an intermediate focal length state, and FIG. 46C shows a state at the telephoto end;

FIG. 47A, FIG. 47B, and FIG. 47C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of a zoom lens according to a twenty fourth embodiment of the present invention, where, FIG. 47A shows a state at a wide angle end, FIG. 47B shows an intermediate focal length state, and FIG. 47C shows a state at a telephoto end;

FIG. 48A, FIG. 48B, and FIG. 48C are diagrams showing a spherical aberration, an astigmatism, a distortion, and a chromatic aberration of magnification at the time of infinite object point focusing of the zoom lens according to the twenty fourth embodiment, where, FIG. 48A shows a state at the wide angle end, FIG. 48B shows an intermediate focal length state, and FIG. 48C shows a state at the telephoto end;

FIG. 49A, FIG. 49B, and FIG. 49C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of a zoom lens according to a twenty fifth embodiment of the present invention, where, FIG. 49A shows a state at a wide angle end, FIG. 49B shows an intermediate focal length state, and FIG. 49C shows a state at a telephoto end;

FIG. 50A, FIG. 50B, and FIG. 50C are diagrams showing a spherical aberration, an astigmatism, a distortion, and a chromatic aberration of magnification at the time of infinite object point focusing of the zoom lens according to the twenty fifth embodiment, where, FIG. 50A shows a state at the wide angle end, FIG. 50B shows an intermediate focal length state, and FIG. 50C shows a state at the telephoto end;

FIG. 51A, FIG. 51B, and FIG. 51C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of a zoom lens according to a twenty sixth embodiment of the present invention, where, FIG. 51A shows a state at a wide angle end, FIG. 51B shows an intermediate focal length state, and FIG. 51C shows a state at a telephoto end;

FIG. 52A, FIG. 52B, and FIG. 52C are diagrams showing a spherical aberration, an astigmatism, a distortion, and a chromatic aberration of magnification at the time of infinite object point focusing of the zoom lens according to the twenty sixth embodiment, where, FIG. 52A shows a state at the wide angle end, FIG. 52B shows an intermediate focal length state, and FIG. 52C shows a state at the telephoto end;

FIG. 53A, FIG. 53B, and FIG. 53C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of a zoom lens according to a twenty seventh embodiment of the present invention, where, FIG. 53A shows a state at a wide angle end, FIG. 53B shows an intermediate focal length state, and FIG. 53C shows a state at a telephoto end;

FIG. 54A, FIG. 54B, and FIG. 54C are diagrams showing a spherical aberration, an astigmatism, a distortion, and a chromatic aberration of magnification at the time of infinite object point focusing of the zoom lens according to the twenty seventh embodiment, where, FIG. 54A shows a state at the wide angle end, FIG. 54B shows an intermediate focal length state, and FIG. 54C shows a state at the telephoto end;

FIG. 55A, FIG. 55B, and FIG. 55C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of a zoom lens according to a twenty eighth embodiment of the present invention, where, FIG. 55A shows a state at a wide angle end, FIG. 55B shows an intermediate focal length state, and FIG. 55C shows a state at a telephoto end;

FIG. 56A, FIG. 56B, and FIG. 56C are diagrams showing a spherical aberration, an astigmatism, a distortion, and a chromatic aberration of magnification at the time of infinite object point focusing of the zoom lens according to the twenty eighth embodiment, where, FIG. 56A shows a state at the wide angle end, FIG. 56B shows an intermediate focal length state, and FIG. 56C shows a state at the telephoto end;

FIG. 57A, FIG. 57B, and FIG. 57C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of a zoom lens according to a twenty ninth embodiment of the present invention, where, FIG. 57A shows a state at a wide angle end, FIG. 57B shows an intermediate focal length state, and FIG. 57C shows a state at a telephoto end;

FIG. 58A, FIG. 58B, and FIG. 58C are diagrams showing a spherical aberration, an astigmatism, a distortion, and a chromatic aberration of magnification at the time of infinite object point focusing of the zoom lens according to the twenty ninth embodiment, where, FIG. 58A shows a state at the wide angle end, FIG. 58B shows an intermediate focal length state, and FIG. 58C shows a state at the telephoto end;

FIG. 59 is a front perspective view showing an appearance of a digital camera 40 in which, zoom optical system according to the present invention is incorporated;

FIG. 60 is a rear perspective view of the digital camera 40;

FIG. 61 is a cross-sectional view showing an optical arrangement of the digital camera 40;

FIG. 62 is a front perspective view of a state in which, a cover of a personal computer 300 which is an example of an information processing apparatus in which, the zoom optical system of the present invention is built-in as an objective optical system, is opened;

FIG. 63 is a cross-sectional view of a photographic optical system 303 of the personal computer 300;

FIG. 64 is a side view of the personal computer 300; and

FIG. 65A, FIG. 65B, and FIG. 65C are diagrams showing a mobile telephone which is an example of the information processing apparatus in which, the zoom optical system of the present invention is built-in as a photographic optical system, where, FIG. 65A is a front view of a mobile telephone 400, FIG. 65B is a side view of the mobile telephone 400, and FIG. 65C is a cross-sectional view of a photographic optical system 405.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS

Exemplary embodiments in which, an image forming optical system according to the present invention is applied to a zoom optical system will be described below in detail by referring to the accompanying diagrams.

In other words, the description of the exemplary embodiments includes specific details for exemplification. Various modifications and variations made in the embodiments described below fairly fall within the basic teachings herein set forth. Consequently, the exemplary embodiments of the present invention which will be described below do not lead to loss of generality of the invention for which, application for right has been made, and the present invention is not restricted to the embodiments described below.

Prior to the description of the embodiments, an action and an effect of an image forming optical system according to the embodiments will be described below.

Firstly, Abbe's number and a partial dispersion ratio for one optical element are as follow.

νd=(nd−1)/(nF−nC)

θgF=(ng−nF)/(nF−nC)

θhg=(nh−ng)/(nF−nC)

where,

nd, NC, nF, ng, and nH denote refractive indices of optical elements of wavelength 587.6 nm (d-line), wavelength 656.3 nm (C-line), wavelength 486.1 nm (F-line), wavelength 435.8 nm (g-line), and wavelength 404.7 nm (h-line),

νd denotes Abbe's number for the optical element,

θgF denotes a partial dispersion ratio of the optical element for the g-line and the F-line, and

θhg denotes a partial dispersion ratio of the optical element for the h-line and the g-line.

Next, a cemented optical element in which, two optical elements are cemented will be described below. An effective partial dispersion ratio when the cemented optical element (having two optical elements cemented) is considered as one optical element can be calculated by the following expression.

θgF₂₁=f₂₁×ν₂₁×(θgF₁×φ₁/νd₁+θgF₂×φ₂/νd₂) (A)

where,

f₂₁denotes a combined focal length of the two optical elements,

ν₂₁denotes Abbe's number when the two optical elements are considered as one optical element,

θgF₁denotes a partial dispersion ratio of one optical element,

φ₁denotes a refractive power of the one optical element,

νd₁denotes Abbe's number for the one optical element,

θgF₂denotes a partial dispersion ratio of the other optical element,

φ₂denotes a refractive power of the other optical element, and

νd₂denotes Abbe's number for the other optical element.

f₂₁, ν₂₁, φ₁, and φ₂are expressed by the following expressions respectively.

1/f₂₁=1/f₁+1/f₂

ν₂₁=1/(f₂₁×(φ₁/νd₁+φ₂/νd₂))

φ₁=1/f₁

φ₂=1/f₂

where,

f₁denotes a foal length of the one optical element, and

f₂denotes a focal length of the other optical element.

In the following description, the partial dispersion ratio is a partial dispersion ratio for the g-line and the F-line, unless being restricted in particular.

An image forming optical system according to a first aspect includes in order from an object side to an image side

a first lens group having a positive refractive power,

a second lens group having a negative refractive power, and

an image-side lens group having a positive refractive power, and

a distance between the first lens group and the second lens group changes at the time of zooming, and

a refractive optical element A having a positive refractive power is positioned in the first lens group, and

the image forming optical system satisfies the following conditional expression (1-1), conditional expression (1-2), and conditional expression (2).

νd_A<30 (1-1)

0.54<θgF_A<0.9 (1-2)

|fG1/fG2|>6.4 (2)

where,

nd_A, nC_A, nF_A, and ng_Adenote refractive indices of the refractive optical element A for a d-line, a C-line, an F-line, and a g-line respectively,

νd_Adenotes Abbe's number (nd_A−1)/(nF_A−nC_A) for the refractive optical element A,

θgF_Adenotes a partial dispersion ratio (ng_A−nF_A)/(nF_A−nC_A) of the refractive optical element A,

fG1 denotes a focal length of the first lens group, and

fG2 denotes a focal length of the second lens group.

For achieving a high magnification in the image forming optical system in which, the first lens group has a positive refractive power, it is necessary to increase a negative refractive power of the second lens group. However, by increasing the negative refractive power of the second lens group, an aberration which has occurred in the first lens group is spread to lens groups from the second lens group onward. Therefore, an optical performance of the overall image forming optical system is degraded. Particularly at a telephoto end, a chromatic aberration is degraded. In other words, for improving a zoom ratio while improving or maintaining to be high the optical performance, carrying out correction of the chromatic aberration in the first lens group becomes significant.

Therefore, in the image forming optical system according to the first embodiment, the refractive optical element A having a positive refractive power is disposed in the first lens group, and the image forming optical system is let to satisfy conditional expression (1-1) and conditional expression (1-2). By making such an arrangement, it is possible to reduce the chromatic aberration, particularly a secondary spectrum, which occurs in the first lens group. Furthermore, by satisfying conditional expression (2), it is possible to achieve an image forming optical system having a high zoom ratio and improved performance, in which the chromatic aberration has been corrected.

When an upper limit of conditional expression (1-1) is surpassed, a primary achromatism becomes difficult in the first lens group. As a result, a resolution at the wide angle end and a telephoto end is degraded, and the performance is deteriorated. For this reason, the image forming optical system with high zoom ratio cannot be achieved. When an upper limit of conditional expression (1-2) is surpassed, correction of the secondary spectrum becomes excessive in the first lens group. For this reason, a chromatic aberration of magnification and a longitudinal chromatic aberration at the telephoto end are deteriorated. As a result, color spreading due to the secondary spectrum occurs, and the performance is degraded. Therefore, the image forming optical system with high zoom ratio cannot be achieved.

On the other hand, when a lower limit of conditional expression (1-1) and a lower limit of conditional expression (1-2) are surpassed, the refractive power of the refractive optical element A increases. Therefore, a spherical aberration at the telephoto end and the chromatic aberration of magnification at the wide angle end are deteriorated. As a result, color spreading and degradation of resolution occur, and the performance is deteriorated. Therefore, the image forming optical system with high zoom ratio cannot be achieved.

When a lower limit of conditional expression (2) is surpassed, a ratio of a refractive power of the first lens group and a refractive power of the second lens group becomes small. Here, the first lens group and the second lens group being lens groups having a zoom effect, the zoom ratio becomes small. Consequently, achieving the image forming optical system having a high zoom ratio becomes difficult. Furthermore, in a case in which, the ratio of the refractive power of the first lens group and the refractive power of the second lens group becomes small, regarding the negative refractive power, contribution of the second lens group to the image forming optical system becomes small. Therefore, Petzval's sum becomes positive for the overall image forming optical system. Consequently, a curvature of field occurs and the performance is deteriorated. Therefore it is not desirable.

Moreover, in the image forming optical system according to the first aspect, it is preferable that a cemented optical element D is provided in the first lens group, and the cemented optical element D is arranged such that, the refractive optical element A is positioned between an optical element B which is positioned on the object side and an optical element C which is positioned on the image side.

As it has been mentioned above, it is preferable to position the refractive optical element A between the optical element B and the optical element C, and to form an optical element D by three optical elements which are cemented. Accordingly, a shape of a surface of the refractive optical element A is determined by the optical element B and the optical element C. When such an arrangement is made, a change in the shape of the surface due to a change in the environment occurs in the refractive optical element A. Therefore, it is possible to achieve correction of chromatic aberration stably in the optical element D which is formed by three optical elements which are cemented.

Moreover, it is desirable that the image forming optical system according to the first embodiment satisfies the following conditional expression (5).

0.4<θhg_A<1.2 (5)

where,

θhg_Adenotes a partial dispersion ratio (nh_A−ng_A)/(nF_A−nC_A) of the refractive optical element A for an h-line, and

nh_Adenotes a refractive index of the refractive optical element A for the h-line.

For improvement of an image forming performance, correction of the chromatic aberration is necessary. Abbe's number is related to a primary achromatism, and the partial dispersion ratio is related to a secondary spectrum. Particularly, the partial dispersion ratio is related to occurrence of color spreading in the image forming performance. Here, the color spreading is a phenomenon in which, a color which is not in an object occurs at a boundary of a strong contrasting portion of a brightness difference.

For rectifying the primary achromatism and the color spreading, an optical material having the optimum Abbe's number and the partial dispersion ratio is available. By using such optical material in the refractive optical element, it is possible to improve the image forming performance. However, only by using the refractive optical element in which, only the partial dispersion ratio has been taken into consideration, the color spreading cannot be corrected sufficiently. Without a refractive optical element in which, a correction of the h-line (404 nm) together with the Abbe's number and the partial dispersion ratio is also taken into consideration, the color spreading cannot be corrected sufficiently.

Therefore, in the image forming optical system according to the first aspect, it is desirable to satisfy conditional expression (5). By satisfying conditional expression (5), it is possible to carry out further reduction of the color spreading. As a result, it is possible achieve the improvement of the image forming performance in the image forming optical system.

When an upper limit of conditional expression (5) is surpassed, the h-line is corrected excessively. In this case, the color spreading becomes conspicuous on the contrary, and therefore it is not desirable. Whereas, when a lower limit of conditional expression (5) is surpassed, the correction of the h-line becomes insufficient. In this case, the color spreading becomes conspicuous, and therefore it is not desirable.

Moreover, the image forming optical system according to the first aspect includes in order from an object side to an image side

a first lens group having a positive refractive power,

a second lens group having a negative refractive power,

an aperture stop,

a third lens group having a positive refractive power,

a fourth lens group having a positive refractive power, and

a fifth lens group having a positive refractive power, and

zooming is carried out by changing distances between the adjacent lens groups such that, at a telephoto end, a distance between the first lens group and the second lens group becomes longer, a distance between the second lens group and the third lens group becomes shorter, and a distance between the third lens group and the fourth lens group becomes longer, as compared to at a wide angle end.

Moreover, according to a preferable aspect of the present invention, it is desirable that a distance between the fourth lens group and the fifth lens group of the image forming optical system satisfies the following conditional expression (20).

0<TG₄₅/WG₄₅<5 (20)

where,

WG₄₅denotes the distance between the fourth lens group and the fifth lens group at the wide angle end, and

TG₄₅denotes the distance between the fourth lens group and the fifth lens group at the telephoto end.

When an upper limit of conditional expression (20) is surpassed, it becomes difficult to correct an image-plane fluctuation which occurs due to zooming, and the image forming performance is degraded, and therefore it is not desirable. Whereas, a lower limit of conditional expression (20) is never surpassed, as both a denominator and a numerator of conditional expression (20) are positive values.

In this manner, in the image forming optical system according to the first aspect, the optical system is formed of five lens groups, and an arrangement is made such that each lens group moves at the time of zooming. By making such an arrangement, it becomes possible to suppress a fluctuation in brightness between two zoom states. Furthermore, by correcting mainly the chromatic aberration in the first lens group, and letting a high zoom ratio in the second lens group, it is possible to carry out mainly a correction of a single color in the lens groups from the third lens group onward.

Moreover, it is desirable that the image forming optical system according to the first aspect includes an optical element B, and satisfies the following conditional expression (6).

|f_B/f_A|>0.15 (6)

where,

f_Adenotes a focal length of the refractive optical element A, and

f_Bdenotes a focal length of the optical element B.

In a case in which, the image forming optical system includes the optical element B, in the image forming optical system according to the first aspect, the refractive optical element A and the optical element B are cemented, and a cemented optical element AB is formed. Furthermore, the optical element C is cemented to the cemented optical element AB, and accordingly, the cemented optical element D is formed. In this case, for lowering an effective partial dispersion ratio of the cemented optical element AB than a partial dispersion ratio of the optical element B, it is desirable to satisfy conditional expression (6). By satisfying conditional expression (6), it is possible to lower the effective partial dispersion ration of the cemented optical element AB than the partial dispersion ratio of the optical element B. Therefore, by using the cemented optical element D, it is possible to correct the secondary spectrum all the more as compared to a case of using only the optical element B. Therefore, an improvement of performance due to the rectification of the chromatic aberration is achieved.

When a lower limit of conditional expression (6) is surpassed, the positive refractive power of the refractive optical element A decreases. In this case, an amount lowered of the effective partial dispersion ratio of the cemented optical element AB in which, two optical elements are cemented, with respect to the partial dispersion ratio of the optical element B becomes small. Moreover, with decrease in the amount of the effective partial dispersion ratio of the cemented optical element AB, an amount of lowering of an effective partial dispersion ratio of the cemented optical element D becomes small. As a result, a difference in the partial dispersion ratio of the optical element B and the effective partial dispersion ratio of the cemented optical element D becomes small. In this case, even when the cemented optical element D in which three optical elements are cemented is formed by the cemented optical element AB in which two optical elements are cemented, since an effect of correction of the secondary spectrum due to the cemented lens D in which three optical elements are cemented becomes small, it is not desirable.

Moreover, it is desirable that the image forming optical system according to the first aspect includes an optical element B, and satisfies the following conditional expression (7).

0<θgF_B−θgF_BA<0.25 (7)

where,

nd_B, nC_B, nF_B, and ng_Bdenote refractive indices of the optical element B for a d-line, a C-line, an F-line, and a g-line,

νd_Bdenotes Abbe's number (nd_B−1)/(nF_B−nC_B) for the optical element B,

θgF_Bdenotes a partial dispersion ratio (ng_B−nF_B)/(nF_B−nC_B) of the optical element B,

θgF_BAdenotes an effective partial dispersion ratio when the refractive optical element A and the optical element B are considered as one optical element, and is expressed by the following expression

θgF_BA=f_BA×ν_BA×(θgF_A×φ_A/νd_A+θgF_B×φ_B/νd_B)

where,

f_BAdenotes a combined focal length of the optical element B and the refractive optical element A, and is expressed by the following expression

1/f_BA=1/f_A+1/f_B,

ν_BAdenotes Abbe's number when the refractive optical element A and the optical element B are considered as one optical element, and is expressed by the following expression

ν_BA=1/(f_BA×(φ_A/νd_A+φ_B/νd_B))

where,

φ_Adenotes a refractive power (φ_A=1/f_A) of the refractive optical element A,

φ_Bdenotes a refractive power (φ_B=1/f_B) of the optical element B, and

φ_BAdenotes a combined refractive power (φ_BA=1/f_BA) of the optical element B and the refractive optical element A.

In a case in which, the image forming optical system includes the optical element B, it is preferable to use the optical element B as the combined optical element AB in which two optical elements are cemented, rather than using the optical element B singly. Accordingly, the secondary spectrum is corrected further. As a result, an improvement of performance due to the rectification of the color spreading is achieved.

When an upper limit of conditional expression (7) is surpassed, the color spreading due to excessive correction of the secondary spectrum occurs, and therefore it is not desirable. Whereas, when a lower limit of conditional expression (7) is surpassed, the effective partial dispersion ratio (θgF_BA) of the cemented optical element AB in which, two optical elements are cemented becomes higher than the partial dispersion ratio (θgF_B) of the optical element B. In other words, the secondary spectrum is made to occur by the refractive optical element A. Therefore, as a result, the color spreading increases to be more than the color spreading before cementing, and therefore it is not desirable.

Moreover, it is desirable that the image forming optical system according to the first aspect satisfies the following conditional expression (8).

1.0<f_A/fG1<8.0 (8)

where,

f_Adenotes the focal length of the refractive optical element A, and

fG1 denotes a focal length of the first lens group.

For improving or maintaining to be high the optical performance in the image forming optical system, it is significant to carry out sufficiently the correction of the chromatic aberration in the first lens group. Particularly, it is desirable to carry out the correction of the secondary spectrum in the first lens group, and to satisfy conditional expression (8) for rectifying the color spreading.

When an upper limit of conditional expression (8) is surpassed, a refractive power in the refractive optical component A becomes weak. In this case, it becomes difficult to lower the effective partial dispersion ratio of the cemented optical element D (or the cemented optical element AB in which two optical elements are cemented) than the partial dispersion ratio of the optical element B. As a result, there is color spreading due to insufficient correction of the secondary spectrum, and therefore it is not desirable.

On the other hand, when a lower limit of conditional expression (8) is surpassed, the refractive power in the refractive optical element A becomes strong. In this case, it is possible to lower the effective partial dispersion ratio of the cemented optical component D (or the cemented optical component AB in which two optical components are cemented) than the partial dispersion ratio of the optical element B singly. However, this also leads to the excessive correction of the secondary spectrum. In other words, the secondary spectrum is made to occur due to the refractive optical element A. As a result, the color spreading increases, and therefore it is not desirable.

Moreover, it is desirable that the image forming optical system according to the first aspect satisfies the following conditional expression (9).

−25<(Ra+Rb)/(Ra−Rb)<−0.5 (9)

where,

Ra denotes a radius of curvature on the object side of the refractive optical element A, and

Rb denotes a radius of curvature on the image side of the refractive optical element A.

When an upper limit of conditional expression (9) is surpassed, the spherical aberration increases toward a negative side at the telephoto end. Moreover, when a lower limit of conditional expression (9) is surpassed, the spherical aberration increases toward a positive side. Since the image forming performance is degraded in both cases, it is not desirable.

Moreover, an electronic image pickup apparatus according to the first aspect includes

an image forming optical system, and

an image pickup element, and

a refractive optical element A having a positive refractive power is positioned in the first lens group, and

the refractive optical element A satisfies the following conditional expression (3-2).

0<(Zb(3.3a)−Za(3.3a))/(Zb(2.5a)−(Za(2.5a))<0.895 (3-2)

where,

fw denotes a focal length of the image forming optical system, at a wide angle end,

ft denotes a focal length of the image forming optical system, at a telephoto end,

IH denotes the maximum image height on the image pickup element,

Zb(h) denotes an optical axial distance between the apex of the object-side surface on the optical axis, of the refractive optical element A and a position at a height h on the image side of the refractive optical element A,

a denotes a value defined by the following expression (3-1)

a={(IH)²×log₁₀(ft/fw)}/fw (3-1).

In the electronic image pickup apparatus according to the first aspect, the refractive optical element A having a positive refractive power is positioned in the first lens group. A distance and a position of a light ray which passes through the refractive optical element A differ according to an angle of field and a zoom state. Therefore, even when a shape of the refractive optical element is fixed, an effect of aberration correction in the refractive optical element A differs according to the angle of field and the zoom state. Therefore, for making a favorable aberration state over the entire zoom range, it is necessary that the shape of the refractive optical element A is determined upon taking into consideration the angle of field, a zoom ratio, and an image height.

When a height of a chief ray which is incident at the maximum image height at a distance L from an aperture is let to be a, a is to be expressed as follows.

a=L×IH/fw

where,

tan (angle of field) can be let to be

tan(angle of field)=IH/fw,

L can be let to be

L∝IH×log₁₀(ft/fw)

Consequently, when m is let to be a factor of proportionality, a is expressed by expression (3-1).

A light-ray height and the angle of field, and a zoom ratio and an image height are related by conditional expression (3-1). Therefore, it is desirable that the image forming optical system according to the present invention satisfies conditional expression (3-2).

Here, what is sought in the first lens group having a positive refractive power is to let the chromatic aberration of magnification at the wide angle end, and the longitudinal chromatic aberration and the spherical aberration at the telephoto end have a favorable state. Accordingly, it is possible to realize favorable image forming performance in the image forming optical system.

When an upper limit of conditional expression (3-2) is surpassed, a change in a ratio of an axial central thickness and a peripheral central thickness of the refractive optical element A is small. Therefore, correction of the chromatic aberration of magnification at the wide angle end becomes excessive. Furthermore, correction of the longitudinal chromatic aberration and the spherical aberration at the telephoto end is insufficient. As a result, it becomes difficult to realize the favorable image forming performance, and therefore it is not desirable. On the other hand, when a lower limit of conditional expression (3-2) is surpassed, a numerator part of conditional expression becomes negative. This means that the refractive optical element A cannot realize a physical shape as an optical element.

Moreover, an electronic image pickup apparatus according to a second aspect of the present invention includes

an image forming optical system, and

an image pickup element, and

the image forming optical system is one of the image forming optical systems described above, and satisfies the following conditional expression (3-3).

0<(Zb(3.3a)−Za(3.3a))/(Zb(2.5a)−(Za(2.5a))<0.990 (3-3)

where,

fw denotes a focal length of the image forming optical system, at a wide angle end,

ft denotes a focal length of the image forming optical system, at a telephoto end,

IH denotes the maximum image height on the image pickup element,

a denotes a value defined by the following expression (3-1)

a={(IH)²×log₁₀(ft/fw)}/fw (3-1).

Description of conditional expression (3-3) is as described in the abovementioned conditional expression (3-2).

Moreover, it is preferable that the electronic image pickup apparatus according to the first aspect satisfies the following conditional expression (1-1), conditional expression (1-2), and conditional expression (2).

νd_A<30 (1-1)

0.54<θgF_A<0.9 (1-2)

|fG1/fG2|>6.4 (2)

where,

nd_A, nC_A, nF_A, and ng_Adenote refractive indices of the refractive optical element A for a d-line, a C-line, an F-line, and a g-line respectively,

νd_Adenotes Abbe's number (nd_A−1)/(nF_A−nC_A) of the refractive optical element A,

νgF_Adenotes a partial dispersion ratio (ng_A−nF_A)/(nF_A−nC_A) of the refractive optical element A,

fG1 denotes a focal length of the first lens group, and

fG2 denotes a focal length of the second lens group.

Description of conditional expression (1-1), conditional expression (1-2), and conditional expression (2) is as mentioned in the description of the image forming optical system according to the first aspect.

Moreover, it is preferable that the electronic image pickup apparatus according to the abovementioned aspects includes

a refractive optical element A, and

an optical element B, and

satisfies the following conditional expression (1-1), conditional expression (1-2), and conditional expression (4-3).

νd_A<30 (1-1)

0.54<θgF_A<0.9 (1-2)

0.05<(Tnglw(0.7)/Tbasw(0.7))/(Tngl(0)/Tbas(0))<0.75 (4-3)

where,

nd_A, nC_A, nF_A, and ng_Adenote refractive indices of the refractive optical element A for a d-line, a C-line, an F-line, and a g-line respectively,

νd_Adenotes Abbe's number (nd_A−1)/(nF_A−nC_A) for the refractive optical element A,

θgF_Adenotes a partial dispersion ratio (ng_A−nF_A)/(nF_A−nC_A) of the refractive optical element A,

Tngl(0) denotes a central thickness on an axis of the refractive optical element A,

Tnglw(0.7) denotes a length of a light ray having a height 70% of the maximum light ray height on the image pickup element at the wide angle end, passing through the refractive optical element A,

Tbas(0) denotes a central thickness on an axis of the optical element B, and

Tbasw(0.7) denotes a length of a light ray having a height 70% of the maximum light ray height on the image pickup element at the wide angle end, passing through the optical element B.

For correcting favorably the longitudinal chromatic aberration and the chromatic aberration of magnification at the wide angle end, and having the correction of the longitudinal chromatic aberration and the chromatic aberration of magnification in a balanced manner, it is desirable that the electronic image pickup apparatus satisfies conditional expression (1-1), conditional expression (1-2), and conditional expression (4-3).

When an upper limit of each of conditional expression (1-1), conditional expression (1-2), and conditional expression (4-3) is surpassed, the correction of the chromatic aberration of magnification becomes more than the correction of the longitudinal chromatic aberration. Moreover, when an amount of correction of the chromatic aberration of magnification is appropriate, an amount of correction of the longitudinal chromatic aberration is insufficient. As a result, an axial performance is degraded, and therefore it is not desirable.

When a lower limit of each of conditional expression (1-1), conditional expression (1-2), and conditional expression (4-3) is surpassed, the correction of the chromatic aberration of magnification becomes smaller than the correction of the longitudinal chromatic aberration. Moreover, when the amount of correction of the longitudinal chromatic aberration is appropriate, the amount of correction of the chromatic aberration of magnification is insufficient. As a result, the axial performance is degraded, and therefore it is not desirable. Furthermore, both the denominator and the numerator of each of conditional expression (1-1), conditional expression (1-2), and conditional expression (4-3) being positive values, the lower limit of each of conditional expression (1-1), conditional expression (1-2), and conditional expression (4-3) cannot become a negative value.

Moreover, it is preferable that the electronic image pickup apparatus according to the abovementioned aspects satisfies one of the following conditional expression (10-1a), conditional expression (10-1b), conditional expression (10-1c), conditional expression (10-2a), and conditional expression (10-2b).

0.3<Tngl(0)/Tbas(0)<10 (10-1a)

0.15<Tnglt(0.7)/Tbast(0.7)<3.0 (10-1b)

0.1<Tnglt(0.9)/Tbast(0.9)<2.0 (10-1c)

0.1<(Tnglt(0.7)/Tbast(0.7))/(Tngl(0)/Tbas(0))<0.85 (10-2a)

0.05<(Tnglt(0.9)/Tbast(0.9))/(Tngl(0)/Tbas(0))<0.75 (10-2b)

where,

Tngl(0) denotes the central thickness on the axis of the refractive optical element A,

Tnglt(0.7) denotes a length of a light ray having a height 70% of the maximum light ray height on the image pickup element at the telephoto end, passing through the refractive optical element A,

Tnglt(0.9) denotes a length of a light ray having a height 90% of the maximum light ray height on the image pickup element at the telephoto end, passing through the refractive optical element A,

Tbas(0) denotes the central thickness on the axis of the optical element B,

Tbast(0.7) denotes a length of a light ray having a height 70% of the maximum light ray height on the image pickup element at the telephoto end, passing through the optical element B, and

Tbast(0.9) denotes a length of a light ray having a height 90% of the maximum light ray height on the image pickup element at the telephoto end, passing through the optical element B.

When the electronic image pickup apparatus satisfies one of conditional expression (10-1a), conditional expression (10-1b), conditional expression (10-1c), conditional expression (10-2a), and conditional expression (10-2b), it is possible to correct favorably the longitudinal chromatic aberration and the chromatic aberration of magnification at the telephoto end. Furthermore, it is possible to correct the longitudinal chromatic aberration and the chromatic aberration of magnification in a balanced manner.

When an upper limit of one of conditional expression (10-1a), conditional expression (10-1b), and conditional expression (10-1c) is surpassed, the longitudinal chromatic aberration is corrected excessively on an axis at the telephoto end, and the chromatic aberration of magnification is corrected excessively off the axis at the telephoto end. As a result, the image forming performance of the overall optical system is degraded, and therefore it is not desirable.

When a lower limit of one of conditional expression (10-1a), conditional expression (10-1b), and conditional expression (10-1c) is surpassed, correction of the longitudinal chromatic aberration is insufficient on the axis at the telephoto end, and correction of the chromatic aberration of magnification is insufficient off the axis at the telephoto end. Furthermore, an edge thickness cannot be achieved at the extreme off-axis, and manufacturing becomes difficult. Therefore it is not desirable.

When an upper limit of each of conditional expression (10-2a) and conditional expression (10-2b) is surpassed, the correction of the chromatic aberration of magnification becomes more than the correction of the longitudinal chromatic aberration. In this case, when the amount of correction of the chromatic aberration of magnification is appropriate, the amount of correction of the longitudinal chromatic aberration is insufficient. As a result, the axial performance is degraded, and therefore it is not desirable.

When a lower limit of each of conditional expression (10-2a) and conditional expression (10-2b) is surpassed, the correction of the chromatic aberration of magnification is smaller than the correction of the longitudinal chromatic aberration. In this case, when the amount of correction of the longitudinal chromatic aberration is appropriate, the amount of correction of the chromatic aberration of magnification is insufficient. As a result, the axial performance is degraded, and therefore, it is not desirable. Both the denominator and the numerator of each of conditional expression (10-2a) and conditional expression (10-2b) being positive values, the lower limit of each of conditional expression (10-2a) and conditional expression (10-2b) cannot become a negative value.

Moreover, it is desirable that the electronic image pickup apparatus according to the abovementioned aspects satisfies one of the following conditional expression (11a) and conditional expression (11b).

0.5<(Tnglw(0.7)/(Tngl(0))<0.95 (11a)

0.3<(Tnglw(0.9)/(Tngle(0))<0.9 (11b)

where,

Tngl(0) denotes the central thickness on the axis of the refractive optical element A,

Tnglw(0.7) denotes the length of the light ray having a height 70% of the maximum light ray height on the image pickup element at the wide angle end, passing through the refractive optical element A, and

Tnglw(0.9) denotes a length of a light ray having a height 90% of the maximum light ray height on the image pickup element at the wide angle end, passing through the refractive optical element A.

When the electronic image pickup apparatus satisfies one of conditional expression (11a) and conditional expression (11b), it is possible to correct favorably the longitudinal chromatic aberration and the chromatic aberration of magnification at the wide angle end. Furthermore, it is possible to correct the longitudinal chromatic aberration and the chromatic aberration of magnification in a balanced manner.

When an upper limit of one of conditional expression (11a) and conditional expression (11b) is surpassed, a difference in a central thickness on axis and a central thickness off axis of the refractive optical element A ceases to exist. In this case, the correction of the chromatic aberration of magnification is excessive with respect to the correction of the longitudinal chromatic aberration. As a result, the image forming performance of the overall optical system is degraded, and therefore it is not desirable. On the other hand, when a lower limit of one of conditional expression (11a) and conditional expression (11b) is surpassed, the correction of the chromatic aberration of magnification is insufficient with respect to the correction of the longitudinal chromatic aberration. Even in this case, the image forming performance of the overall optical system is degraded, and therefore it is not desirable.

Moreover, it is desirable that the electronic image pickup apparatus according to the abovementioned aspects satisfies one of the following conditional expression (12a) and conditional expression (12b).

0.5<(Tnglt(0.7)/(Tngl(0))<0.95 (12a)

0.3<(Tnglt(0.9)/(Tngl(0))<0.9 (12b)

where,

Tngl(0) denotes the central thickness on the axis of the refractive optical element A,

Tnglt(0.7) denotes the length of the light ray having a height 70% of the maximum light ray height on the image pickup element at the telephoto end, passing through the refractive optical element A, and

Tnglt(0.9) denotes the length of the light ray having a height 90% of the maximum light ray height on the image pickup element at the telephoto end, passing through the refractive optical element A.

When the electronic image pickup apparatus satisfies one of conditional expression (12a) and conditional expression (12b), it is possible to correct favorably the longitudinal chromatic aberration and the chromatic aberration of magnification at the telephoto end. Furthermore, it is possible to correct the longitudinal chromatic aberration and the chromatic aberration of magnification in a balanced manner.

When an upper limit of one of conditional expression (12a) and conditional expression (12b) is surpassed, the difference in the central thickness on axis and the central thickness off axis of the refractive optical element A ceases to exist. In this case, the correction of the chromatic aberration of magnification is insufficient with respect to the correction of the longitudinal chromatic aberration. As a result, the image forming performance of the overall optical system is degraded, and therefore it is not desirable. On the other hand, when a lower limit of one of conditional expression (12a) and conditional expression (12b) is surpassed, the correction of the chromatic aberration of magnification is excessive with respect to the correction of the longitudinal chromatic aberration. As a result, the image forming performance of the overall optical system is degraded, and therefore it is not desirable.

Moreover, it is preferable that the electronic image pickup apparatus according to the abovementioned aspects satisfies one of the following conditional expression (13-1a), conditional expression (13-1b), conditional expression (13-1c), and conditional expression (13-2).

0.3<Tngl(0)/Tbas(0)<10 (13-1a)

0.15<Tnglw(0.7)/Tbasw(0.7)<2.0 (13-1b)

0<Tnglw(0.9)/Tbasw(0.9)<0.9 (13-1c)

0<(Tnglw(0.9)/Tbasw(0.9))/(Tngl(0)/Tbas(0))<0.5 (13-2)

where,

Tngl(0) denotes the central thickness on the axis of the refractive optical element A,

Tnglw(0.7) denotes the length of the light ray having a height 70% of the maximum light ray height on the image pickup element at the wide angle end, passing through the refractive optical element A,

Tnglw(0.9) denotes the length of the light ray having a height 90% of the maximum light ray height on the image pickup element at the wide angle end, passing through the refractive optical element A,

Tbas(0) denotes the central thickness on the axis of the optical element B,

Tbasw(0.7) denotes the length of the light ray having a height 70% of the maximum light ray height on the image pickup element at the wide angle end, passing through the optical element B, and

Tbasw(0.9) denotes a length of a light ray having a height 90% of the maximum light ray height on the image pickup element at the telephoto end, passing through the optical element B.

For correcting favorably the longitudinal chromatic aberration and the chromatic aberration of magnification at the wide angle end, and having the correction of the longitudinal chromatic aberration and the chromatic aberration of magnification in a balanced manner, it is desirable that the electronic image pickup apparatus satisfies one of conditional expression (13-1a), conditional expression (13-1b), and conditional expression (13-1c).

When an upper limit of one of conditional expression (13-1a), conditional expression (13-1b), and conditional expression (13-1c) is surpassed, the correction of the longitudinal chromatic aberration becomes excessive on axis at the wide angle end. Moreover, the correction of the chromatic aberration of magnification becomes excessive off axis at the wide angle end. As a result, the image forming performance is degraded, and therefore it is not desirable. On the other hand, when a lower limit of any of conditional expression (13-1a), conditional expression (13-1b), and conditional expression (13-1c) is surpassed, the correction of the longitudinal chromatic aberration is insufficient on axis at the wide angle end. Moreover, the correction of the chromatic aberration of magnification is insufficient off axis at the wide angle end. Furthermore, an edge thickness cannot be achieved at the extreme off-axis. Therefore, as manufacturing becomes difficult, it is not desirable.

When an upper limit of conditional expression (13-2) is surpassed, the correction of the chromatic aberration of magnification is more than the correction of the longitudinal chromatic aberration. Therefore, when the amount of correction of the chromatic aberration of magnification is appropriate, the amount of correction of the longitudinal chromatic aberration is insufficient. As a result, the axial performance is degraded, and therefore it is not desirable. Both the denominator and the numerator of conditional expression (13-2) being positive values, a lower limit of conditional expression (13-2) cannot be surpassed.

Moreover, it is preferable that the image forming optical system according to the abovementioned aspects satisfies the following conditional expression (9′).

−25<(Ra+Rb)/(Ra−Rb)<−2 (9′)

where,

Ra denotes a radius of curvature on the object side of the refractive optical element A, and

Rb denotes a radius of curvature on the image side of the refractive optical element A.

When an upper limit of conditional expression (9′) is surpassed, the spherical aberration increases toward the negative side at the telephoto end. Moreover, when a lower limit of conditional expression (9′) is surpassed, the spherical aberration increases toward the positive side. Since the image forming performance is degraded in both cases, it is not desirable.

Moreover, an electronic image pickup apparatus according to another aspect of the present invention includes

an image forming optical system, and

an image pickup element, and

a cemented optical element D is provided in the first lens group, and

the electronic image pickup apparatus satisfies the following conditional expression (4-1), conditional expression (4-2), and conditional expression (4-3).

νd_A<30 (4-1)

0.54<θgF_A<0.9 (4-2)

0.387<(Tnglw(0.7)/Tbasw(0.7))/(Tngl(0)/Tbas(0))<0.525 (4-3)

where,

νd_Adenotes Abbe's number (nd_A−1)/(nF_A−nC_A) for the refractive optical element A,

θgF_Adenotes a partial dispersion ratio (ng_A−nF_A)/(nF_A−nC_A) of the refractive optical element A,

nd_A, nC_A, nF_A, and ng_Adenote refractive indices of the refractive optical element A for a d-line, a C-line, an F-line, and a g-line respectively,

Tngl(0) denotes a central thickness on an axis of the refractive optical element A,

Tnglw(0.7) denotes a length of a light ray having a height 70% of the maximum light ray height on the image pickup element at the wide angle end, passing through the refractive optical element A,

Tbas(0) denotes a central thickness on an axis of the optical element B, and

Tbasw(0.7) denotes a length of a light ray having a height 70% of the maximum light ray height on the image pickup element at the wide angle end, passing through the optical element B.

In the zoom lens in which the first lens group has a positive refractive power, since an aberration which has occurred in the first lens group, particularly the chromatic aberration at the wide angle end, increases in lens groups from the second lens group onward, the performance is degraded. In other words, for improving or maintaining to be high the optical performance, carrying out correction of the chromatic aberration in the first lens group becomes significant.

The electronic image pickup apparatus satisfies conditional expression (4-1) and conditional expression (4-2), and furthermore, the refractive optical element A having a positive refractive power in which, an object side and an image side is let to be an air surface, is disposed in the first lens group. Accordingly, it is possible to reduce the chromatic aberration which occurs in the first lens group.

Regarding conditional expression (4-1) and conditional expression (4-2), the description is same as the description of the image forming optical system according to the abovementioned aspect.

When the electronic image pickup apparatus satisfies conditional expression (4-3), it is possible to correct favorably the longitudinal chromatic aberration and the chromatic aberration of magnification at the wide angle end. Furthermore, it is possible to correct the longitudinal chromatic aberration and the chromatic aberration of magnification in a balanced manner.

When an upper limit of conditional expression (4-3) is surpassed, the correction of the chromatic aberration of magnification is more than the correction of the longitudinal chromatic aberration. In this case, when the amount of correction of the chromatic aberration of magnification is appropriate, the amount of correction of the longitudinal chromatic aberration is insufficient, and the axial performance being degraded, it is not desirable.

When a lower limit of conditional expression (4-3) is surpassed, the correction of the chromatic aberration of magnification is smaller than the correction of the longitudinal chromatic aberration. In this case, when the amount of correction of the longitudinal chromatic aberration is appropriate, the amount of correction of the chromatic aberration of magnification is insufficient, and the axial performance being degraded, it is not desirable.

Both the denominator and the numerator of conditional expression (4-3) being positive values, the lower limit of conditional expression (4-3) cannot become a negative value.

Moreover, in the electronic image pickup apparatus according to the abovementioned aspect, the image forming optical system includes the cemented optical component D. The cemented optical element D is formed of three optical elements. Here, the cemented optical element D is formed by the refractive optical element A being positioned between the optical element B and the optical element C. By making such an arrangement, a shape of a surface of the refractive optical element A is determined by the optical element B and the optical element C. In this case, change in the shape of the surface of the refractive optical element A due to a change in the environment does not occur. Therefore, it is possible to achieve correction of chromatic aberration stably in the cemented optical element D.

Moreover, it is preferable that the electronic image pickup apparatus according to the second embodiment satisfies the following conditional expression (2).

|fG1/fG2|>6.4 (2)

where,

fG1 denotes a focal length of the first lens group, and

fG2 denotes a focal length of the second lens group.

Regarding condition expression (2), the description is same as in the description of the abovementioned image forming optical system.

Moreover, an electronic image pickup apparatus according to another aspect of the present invention includes

an image forming optical system, and

an image pickup element, and

the image forming optical system is one of the abovementioned image forming optical systems, and satisfies the following conditional expression (3-2).

0<(Zb(3.3a)−Za(3.3a))/(Zb(2.5a)−(Za(2.5a))<0.895 (3-2)

where,

fw denotes a focal length of the image forming optical system, at a wide angle end,

ft denotes a focal length of the image forming optical system, at a telephoto end,

IH denotes the maximum image height on the image pickup element,

a denotes a value defined by the following expression (3-1)

a={(IH)²×log₁₀(ft/fw)}/fw (3-1).

Regarding conditional expression (3-3), the description is same as already described.

Moreover, it is preferable that an image forming optical system according to the second aspect and the third aspect of the present invention satisfies the following conditional expression (4-1), conditional expression (4-2), and conditional expression (2).

νd_A<30 (4-1)

0.54<θgF_A<0.9 (4-2)

|fG1/fG2|>6.4 (2)

where,

nd_A, nC_A, nF_A, and ng_Adenote refractive indices of the refractive optical element A for a d-line, a C-line, an F-line, and a g-line respectively,

νd_Adenotes Abbe's number (nd_A−1)/(nF_A−nC_A) of the refractive optical element A,

θgF_Adenotes a partial dispersion ratio (ng_A−nF_A)/(nF_A−nC_A) of the refractive optical element A,

fG1 denotes a focal length of the first lens group, and

fG2 denotes a focal length of the second lens group.

Regarding conditional expression (4-1), conditional expression (4-2), and conditional expression (2), the description is same as already described.

Moreover, it is preferable that the electronic image pickup apparatus satisfies one of the following conditional expression (10-1a′), conditional expression (10-1b′), conditional expression (10-1c′), conditional expression (10-2a′), and conditional expression (10-2b′).

0.3<Tngl(0)/Tbas(0)<3 (10-1a′)

0.2<Tnglt(0.7)/Tbast(0.7)<2.0 (10-1b′)

0.1<Tnglt(0.9)/Tbast(0.9)<1.4 (10-1c′)

0.2<(Tnglt(0.7)/Tbast(0.7))/(Tngl(0)/Tbas(0))<0.85 (10-2a′)

0.10<(Tnglt(0.9)/Tbast(0.9))/(Tngl(0)/Tbas(0))<0.75 (10-2b)

where,

Tngl(0) denotes the central thickness on the axis of the refractive optical element A,

Tnglt(0.7) denotes a length of a light ray having a height 70% of the maximum light ray height on the image pickup element at the telephoto end, passing through the refractive optical element A,

Tnglt(0.9) denotes a length of a light ray having a height 90% of the maximum light ray height on the image pickup element at the telephoto end, passing through the refractive optical element A,

Tbas(0) denotes the central thickness on the axis of the optical element B,

Tbast(0.7) denotes a length of a light ray having a height 70% of the maximum light ray height on the image pickup element at the telephoto end, passing through the optical element B, and

Tbast(0.9) denotes a length of a light ray having a height 90% of the maximum light ray height on the image pickup element at the telephoto end, passing through the optical element B.

When the electronic image pickup apparatus satisfies one of conditional expression (10-1a′), conditional expression (10-1b′), conditional expression (10-1c′), conditional expression (10-2a′), and conditional expression (10-2b′), it is possible to correct favorably the longitudinal chromatic aberration and the chromatic aberration of magnification at the telephoto end. Furthermore, it is possible to correct the longitudinal chromatic aberration and the chromatic aberration of magnification in a balanced manner.

When an upper limit of one of conditional expression (10-1a′), conditional expression (10-1b′), and conditional expression (10-1c′) is surpassed, the longitudinal chromatic aberration is corrected excessively on an axis at the telephoto end, and the chromatic aberration of magnification is corrected excessively off the axis at the telephoto end. As a result, the image forming performance of the overall optical system is degraded, and therefore it is not desirable.

When a lower limit of one of conditional expression (10-1a′), conditional expression (10-1 b′), and conditional expression (10-1c′) is surpassed, correction of the longitudinal chromatic aberration is insufficient on the axis at the telephoto end, and correction of the chromatic aberration of magnification is insufficient off the axis at the telephoto end. Furthermore, the edge thickness cannot be achieved at the extreme off-axis, and manufacturing becomes difficult. Therefore it is not desirable.

When an upper limit of each of conditional expression (10-2a′) and conditional expression (10-2b′) is surpassed, the correction of the chromatic aberration of magnification becomes more than the correction of the longitudinal chromatic aberration. In this case, when the amount of correction of the chromatic aberration of magnification is appropriate, the amount of correction of the longitudinal chromatic aberration is insufficient. As a result, the axial performance is degraded, and therefore it is not desirable.

When a lower limit of each of conditional expression (10-2a′) and conditional expression (10-2b′) is surpassed, the correction of the chromatic aberration of magnification is smaller than the correction of the longitudinal chromatic aberration. In this case, when the amount of correction of the longitudinal chromatic aberration is appropriate, the amount of correction of the chromatic aberration of magnification is insufficient. As a result, the axial performance is degraded, and therefore, it is not desirable. Both the denominator and the numerator of each of conditional expression (10-2a′) and conditional expression (10-2b′) being positive, the lower limit of each of conditional expression (10-2a′) and conditional expression (10-2b′) cannot become a negative value.

Moreover, it is desirable that the electronic image pickup apparatus satisfies one of the following conditional expression (11a) and conditional expression (11b′).

0.5<(Tnglw(0.7)/(Tngl(0))<0.95 (11a)

0.3<(Tnglw(0.9)/(Tngle(0))<0.85 (11b′)

where,

Tngl(0) denotes the central thickness on axis of the refractive optical element A,

Tnglw(0.9) denotes a length of a light ray having a height 90% of the maximum light ray height on the image pickup element at the wide angle end, passing through the refractive optical element A.

When the electronic image pickup apparatus satisfies one of conditional expression (11a) and conditional expression (11b′), it is possible to correct favorably the longitudinal chromatic aberration and the chromatic aberration of magnification at the wide angle end. Furthermore, it is possible to correct the longitudinal chromatic aberration and the chromatic aberration of magnification in a balanced manner.

When an upper limit of one of conditional expression (11a) and conditional expression (11b′) is surpassed, the difference in a central thickness on axis and a central thickness off axis of the refractive optical element A ceases to exist. In this case, the correction of the chromatic aberration of magnification is excessive with respect to the correction of the longitudinal chromatic aberration. As a result, the image forming performance of the overall optical system is degraded, and therefore it is not desirable. On the other hand, when a lower limit of one of conditional expression (11a) and conditional expression (11b′) is surpassed, the correction of the chromatic aberration of magnification is insufficient with respect to the correction of the longitudinal chromatic aberration. Even in this case, the image forming performance of the overall optical system is degraded, and therefore it is not desirable.

Moreover, it is desirable that the electronic image pickup apparatus satisfies one of the following conditional expression (12a) and conditional expression (12b).

0.5<(Tnglt(0.7)/(Tngl(0))<0.95 (12a)

0.3<(Tnglt(0.9)/(Tngl(0))<0.9 (12b)

where,

Tngl(0) denotes the central thickness on the axis of the refractive optical element A,

Tnglt(0.9) denotes the length of the light ray having a height 90% of the maximum light ray height on the image pickup element at the telephoto end, passing through the refractive optical element A.

When an upper limit of one of conditional expression (12a) and conditional expression (12b) is surpassed, the difference in the central thickness on axis and the central thickness off axis of the refractive optical element A ceases to exist. In this case, the correction of the chromatic aberration of magnification is insufficient with respect to the correction of the longitudinal chromatic aberration, and therefore it is not desirable. On the other hand, when a lower limit of one of conditional expression (12a) and conditional expression (12b) is surpassed, the correction of the chromatic aberration of magnification is excessive with respect to the correction of the longitudinal chromatic aberration. As a result, the image forming performance of the overall optical system is degraded, and therefore it is not desirable.

Moreover, it is preferable that the electronic image pickup apparatus satisfies one of the following conditional expression (13-1a′), conditional expression (13-1b′), conditional expression (13-1c′), and conditional expression (13-2).

0.3<Tngl(0)/Tbas(0)<2.5 (13-1a′)

0.215<Tnglw(0.7)/Tbasw(0.7)<1.4 (13-1b′)

0<Tnglw(0.9)/Tbasw(0.9)<0.7 (13-1c′)

0<(Tnglw(0.9)/Tbasw(0.9))/(Tngl(0)/Tbas(0))<0.5 (13-2)

where,

Tngl(0) denotes the central thickness on the axis of the refractive optical element A,

Tnglw(0.7) denotes the length of the light ray having a height 70% of the maximum light ray height on the image pickup element at the wide angle end, passing through the refractive optical element A,

Tnglw (0.9) denotes the length of the light ray having a height 90% of the maximum light ray height on the image pickup element at the wide angle end, passing through the refractive optical element A,

Tbas(0) denotes the central thickness on the axis of the optical element B,

Tbasw(0.7) denotes the length of the light ray having a height 70% of the maximum light ray height on the image pickup element at the wide angle end, passing through the optical element B, and

Tbasw(0.9) denotes a length of a light ray having a height 90% of the maximum light ray height on the image pickup element at the telephoto end, passing through the optical element B.

When the electronic image pickup apparatus satisfies one of conditional expression (13-1a′), conditional expression (13-1b′), conditional expression (13-1c′), and conditional expression (13-2), it is possible to correct favorably the longitudinal chromatic aberration and the chromatic aberration of magnification at the wide angle end. Furthermore, it is possible to correct the longitudinal chromatic aberration and the chromatic aberration of magnification in a balanced manner.

When an upper limit of one of conditional expression (13-1a′), conditional expression (13-1b′), and conditional expression (13-1c′) is surpassed, the correction of the longitudinal chromatic aberration becomes excessive on axis at the wide angle end, and the correction of the chromatic aberration of magnification becomes excessive off axis at the wide angle end. As a result, the image forming performance of the overall optical system is degraded, and therefore it is not desirable.

On the other hand, when a lower limit of one of conditional expression (13-1a′), conditional expression (13-1b′), and conditional expression (13-1c′) is surpassed, the correction of the longitudinal chromatic aberration is insufficient on axis at the wide angle end, and the correction of the chromatic aberration of magnification is insufficient off axis at the wide angle end. Furthermore, the edge thickness cannot be achieved at the extreme off-axis. Therefore, as manufacturing becomes difficult, it is not desirable.

When an upper limit of conditional expression (13-2) is surpassed, the correction of the chromatic aberration of magnification is more than they correction of the longitudinal chromatic aberration. Therefore, when the amount of correction of the chromatic aberration of magnification is appropriate, the amount of correction of the longitudinal chromatic aberration is insufficient, and performance on axis is degraded. Therefore it is not desirable.

Both the denominator and the numerator of conditional expression (13-2) being positive values, the lower limit of conditional expression (13-2) cannot be surpassed.

EMBODIMENTS

Exemplary embodiments of the image forming optical system and the electronic image pickup apparatus according to the present invention will be described below in detail by referring to the accompanying diagrams. However, the present invention is not restricted to the embodiments described below. In the following description, the optical element B is called appropriately as an object-side substrate optical element B, and the optical element is called appropriately as an image-side substrate optical element C.

The embodiments of the zoom lens (image forming optical system) according to the present invention, and the electronic image pickup apparatus equipped with the same will be described below.

A zoom lens according to each embodiment is a taking lens system which is to be used in an electronic image pickup apparatus such as a video camera, a digital camera, and a silver-salt film camera.

In the following embodiments, a wide angle end and a telephoto end are zoom positions when a lens group for zooming is positioned at two ends of a movable range on an optical axis of a mechanism.

Each embodiment is a zoom lens which includes in order from an object side to an image side, a first lens group having a positive refractive power, a second lens group having a negative refractive power, and an image-side lens group.

In the present invention, the number of lens groups in the image-side lens group is arbitrary, and it is preferable that the image-side lens group has at least one lens group. In other words, it is preferable that the zoom lens according to the present invention has three or more lens groups.

The embodiments of the zoom lens and the electronic image pickup apparatus according to the present invention will be described below in detail by referring to the accompanying diagrams.

In embodiments from a first embodiment to a fourteenth embodiment, the following arrangement and action are same. Firstly, a first lens group G1 has a negative lens (an object-side substrate optical element B), the abovementioned refractive optical element A having a positive refractive power, and two positive lenses. Correction of chromatic aberration at the telephoto end is carried out effectively by an arrangement of the refractive optical element A and the first lens group G1.

A second lens group G2 includes a negative lens, a negative lens, a positive lens, and a negative lens. A high zoom ratio is achieved by an arrangement of the second lens group G2.

Moreover, in the zoom lens, zooming is carried out by changing distances between the adjacent lens groups such that, at the telephoto end, a distance between the first lens group G1 and the second lens group G2 becomes longer, a distance between the second lens group G2 and a third lens group G3 becomes shorter, and a distance between the third lens group G3 and a fourth lens group G4 becomes longer, as compared to the distances at the wide angle end.

Moreover, the fourth lens group G4 corrects an image-plane fluctuation due to zooming, and at this time, a distance between the fourth lens group G4 and a fifth lens group G5 satisfies conditional expression (20).

To start with, a zoom lens according to the first embodiment of the present invention will be described below. FIG. 1A, FIG. 1B, and FIG. 1C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of the zoom lens according to the first embodiment of the present invention, where, FIG. 1A shows a state at a wide angle end, FIG. 1B shows an intermediate focal length state, and FIG. 1C shows a state at a telephoto end.

FIG. 2A, FIG. 2B, and FIG. 2C are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) at the time of infinite object point focusing of the zoom lens according to the first embodiment, where, FIG. 2A shows a state at the wide angle end, FIG. 2B shows an intermediate focal length state, and FIG. 2C shows a state at the telephoto end. Moreover, FIY denotes an image height. Reference numerals in aberration diagrams are same in the embodiments which will be described later.

The zoom lens according to the first embodiment includes in order from an object side, a first lens group G1 having a positive refractive power, a second lens group G2 having a negative refractive power, an aperture stop S, a third lens group G3 having a positive refractive power, a fourth lens group G4 having a positive refractive power, and a fifth lens group G5 having a positive refractive power. In all the following embodiments, in lens cross-sectional views, CG denotes a cover glass and I denotes an image pickup surface of an electronic image pickup element.

The first lens group G1 includes in order from the object side, a cemented lens of a negative meniscus lens L1 (optical element B) having a convex surface directed toward the object side, a positive meniscus lens L2 (refractive optical element A) having a convex surface directed toward the object side, and a positive meniscus lens L3 having a convex surface directed toward the object side, and a positive meniscus lens L4 having a convex surface directed toward the object side, and has a positive refractive power as a whole. Here, a partial dispersion ratio θgF (θgF_A) of the refractive optical element A of the cemented lens in the first lens group G1 is 0.668. Moreover, Abbe's number (νd_A) for the refractive optical element A is 23.38.

The second lens group G2 includes a negative meniscus lens L5 having a convex surface directed toward the object side, a cemented lens of a biconcave negative lens L6, a cemented layer L7, and a biconvex positive lens L8, and a negative meniscus lens L9 having a convex surface directed toward an image side, and has a negative refractive power as a whole.

In all the following embodiments, L7 is a cemented layer. The third lens group G3 includes in order from the object side, a biconvex positive lens L10, a negative meniscus lens L11 having a convex surface directed toward the object side, a biconvex positive lens L12, and a negative meniscus lens L13 having a convex surface directed toward the object side, and has a positive refractive power as a whole.

The fourth lens group G4 includes a cemented lens of a biconvex positive lens L14, a cemented layer L15, and a biconcave negative lens L16, and has a positive refractive power as a whole.

In all the following embodiments, L15 is a cemented layer.

The fifth lens group G5 includes a biconvex positive lens L17, and has a positive refractive power as a whole.

At the time of zooming from the wide angle end to the telephoto end, the first lens group G1 moves toward the object side. The second lens group G2 moves toward the image side. The third lens group G3 moves toward the object side. The fourth lens group G4 moves toward the object side. The fifth lens group G5 is fixed.

Next, a zoom lens according to a second embodiment of the present invention will be described below. FIG. 3A, FIG. 3B, and FIG. 3C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of the zoom lens according to the second embodiment of the present invention, where, FIG. 3A shows a state at a wide angle end, FIG. 3B shows an intermediate focal length state, and FIG. 3C shows a state at a telephoto end.

FIG. 4A, FIG. 4B, and FIG. 4C are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) at the time of infinite object point focusing of the zoom lens according to the second embodiment, where, FIG. 4A shows a state at the wide angle end, FIG. 4B shows an intermediate focal length state, and FIG. 4C shows a state at the telephoto end.

The zoom lens according to the second embodiment includes in order from an object side, a first lens group G1 having a positive refractive power, a second lens group G2 having a negative refractive power, an aperture stop S, a third lens group G3 having a positive refractive power, a fourth lens group G4 having a positive refractive power, and a fifth lens group G5 having a positive refractive power.

The first lens group G1 includes in order from the object side, a cemented lens of a negative meniscus lens L1 (optical element B) having a convex surface directed toward the object side, a positive meniscus lens L2 (refractive optical element A) having a convex surface directed toward the object side, and a positive meniscus lens L3 having a convex surface directed toward the object side, and a positive meniscus lens L4 having a convex surface directed toward the object side, and has a positive refractive power as a whole. Here, a partial dispersion ratio θgF of the refractive optical element A of the cemented lens in the first lens group G1 is 0.668. Moreover, Abbe's number (νd_A) for the refractive optical element A is 23.38.

The third lens group G3 includes in order from the object side, a biconvex positive lens L10, a negative meniscus lens L11 having a convex surface directed toward the object side, a biconvex positive lens L12, and a negative meniscus lens L13 having a convex surface directed toward the object side, and has a positive refractive power as a whole.

The fourth lens group G4 includes a cemented lens of a biconvex positive lens L14, a cemented layer L15, and a biconcave negative lens L16, and has a positive refractive power as a whole.

The fifth lens group G5 includes a biconvex positive lens L17, and has a positive refractive power as a whole.

At the time of zooming from the wide angle end to the telephoto end, the first lens group G1 moves toward the object side. The second lens group G2 moves toward the image side. The third lens group G3 moves toward the object side. The fourth lens group G4, after moving toward the object side, moves toward the image side. The fifth lens group G5 is fixed.

Next, a zoom lens according to a third embodiment of the present invention will be described below. FIG. 5A, FIG. 5B, and FIG. 5C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of the zoom lens according to the third embodiment of the present invention, where, FIG. 5A shows a state at a wide angle end, FIG. 5B shows an intermediate focal length state, and FIG. 5C shows a state at a telephoto end.

FIG. 6A, FIG. 6B, and FIG. 6C are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) at the time of infinite object point focusing of the zoom lens according to the third embodiment, where, FIG. 6A shows a state at the wide angle end, FIG. 6B shows an intermediate focal length state, and FIG. 6C shows a state at the telephoto end.

The zoom lens according to the third embodiment includes in order from an object side, a first lens group G1 having a positive refractive power, a second lens group G2 having a negative refractive power, an aperture stop S, a third lens group G3 having a positive refractive power, a fourth lens group G4 having a positive refractive power, and a fifth lens group G5 having a positive refractive power.

The first lens group G1 includes in order from the object side, a cemented lens of a negative meniscus lens L1 (optical element B) having a convex surface directed toward the object side, a positive meniscus lens L2 (refractive optical element A) having a convex surface directed toward the object side, and a positive meniscus lens L3 having a convex surface directed toward the object side, and a positive meniscus lens L4 having a convex surface directed toward the object side, and has a positive refractive power as a whole. Here, a partial dispersion ratio θgF of the refractive optical element A of the cemented lens in the first lens group G1 is 0.668. Moreover, Abbe's number (νd_A) for the refractive optical element A is 23.38.

The fourth lens group G4 includes a cemented lens of a biconvex positive lens L14, a cemented layer L15, and a biconcave negative lens L16, and has a positive refractive power as a whole.

The fifth lens group G5 includes a biconvex positive lens L7, and has a positive refractive power as a whole.

At the time of zooming from the wide angle end to the telephoto end, the first lens group G1 moves toward the object side. The second lens group G2 moves toward the image side. The third lens group G3 moves toward the object side. The fourth lens group G4, after moving toward the object side, moves toward the image side. The fifth lens group G5 is fixed.

Next, a zoom lens according to a fourth embodiment of the present invention will be described below. FIG. 7A, FIG. 7B, and FIG. 7C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of the zoom lens according to the fourth embodiment of the present invention, where, FIG. 7A shows a state at a wide angle end, FIG. 7B shows an intermediate focal length state, and FIG. 7C shows a state at a telephoto end.

FIG. 8A, FIG. 8B, and FIG. 8C are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) at the time of infinite object point focusing of the zoom lens according to the fourth embodiment, where, FIG. 8A shows a state at the wide angle end, FIG. 8B shows an intermediate focal length state, and FIG. 8C shows a state at the telephoto end.

The zoom lens according to the fourth embodiment includes in order from an object side, a first lens group G1 having a positive refractive power, a second lens group G2 having a negative refractive power, an aperture stop S, a third lens group G3 having a positive refractive power, a fourth lens group G4 having a positive refractive power, and a fifth lens group G5 having a positive refractive power.

The first lens group G1 includes in order from the object side, a cemented lens of a negative meniscus lens L1 (optical element B) having a convex surface directed toward the object side, a positive meniscus lens L2 (refractive optical element A) having a convex surface directed toward the object side, and a positive meniscus lens L3 having a convex surface directed toward the object side, and a positive meniscus lens L4 having a convex surface directed toward the object side, and has a positive refractive power as a whole. Here, a partial dispersion ratio θgF of the refractive optical element A of the cemented lens in the first lens group G1 is 0.668. Moreover, Abbe's number (νd_A) for the refractive optical element A is 23.38.

The fourth lens group G4 includes a cemented lens of a biconvex positive lens L14, a cemented layer L15, and a biconcave negative lens L16, and has a positive refractive power as a whole.

The fifth lens group G5 includes a biconvex positive lens L17, and has a positive refractive power as a whole.

At the time of zooming from the wide angle end to the telephoto end, the first lens group G1 moves toward the object side. The second lens group G2 moves toward the image side. The third lens group G3 moves toward the object side. The fourth lens group G4, after moving toward the object side, moves toward the image side. The fifth lens group G5 is fixed.

Next, a zoom lens according to a fifth embodiment of the present invention will be described below. FIG. 9A, FIG. 9B, and FIG. 9C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of the zoom lens according to the fifth embodiment of the present invention, where, FIG. 9A shows a state at a wide angle end, FIG. 9B shows an intermediate focal length state, and FIG. 9C shows a state at a telephoto end.

FIG. 10A, FIG. 10B, and FIG. 10C are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) at the time of infinite object point focusing of the zoom lens according to the fifth embodiment, where, FIG. 10A shows a state at the wide angle end, FIG. 10B shows an intermediate focal length state, and FIG. 100 shows a state at the telephoto end.

The zoom lens according to the fifth embodiment includes in order from an object side, a first lens group G1 having a positive refractive power, a second lens group G2 having a negative refractive power, an aperture stop S, a third lens group G3 having a positive refractive power, a fourth lens group G4 having a positive refractive power, and a fifth lens group G5 having a positive refractive power.

The first lens group G1 includes in order from the object side, a cemented lens of a negative meniscus lens L1 (optical element B) having a convex surface directed toward the object side, a positive meniscus lens L2 (refractive optical element A) having a convex surface directed toward the object side, and a positive meniscus lens L3 having a convex surface directed toward the object side, and a positive meniscus lens L4 having a convex surface directed toward the object side, and has a positive refractive power as a whole. Here, a partial dispersion ratio θgF of the refractive optical element A of the cemented lens in the first lens group G1 is 0.690. Moreover, Abbe's number (νd_A) for the refractive optical element A is 20.00.

The fourth lens group G4 includes a cemented lens of a biconvex positive lens L14, a cemented layer L15, and a biconcave negative lens L16, and has a positive refractive power as a whole.

The fifth lens group G5 includes a biconvex positive lens L17, and has a positive refractive power as a whole.

At the time of zooming from the wide angle end to the telephoto end, the first lens group G1 moves toward the object side. The second lens group G2 moves toward the image side. The third lens group G3 moves toward the object side. The fourth lens group G4, after moving toward the object side, moves toward the image side. The fifth lens group G5 is fixed.

Next, a zoom lens according to a sixth embodiment of the present invention will be described below. FIG. 11A, FIG. 11B, and FIG. 11C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of the zoom lens according to the sixth embodiment of the present invention, where, FIG. 11A shows a state at a wide angle end, FIG. 11B shows an intermediate focal length state, and FIG. 11C shows a state at a telephoto end.

FIG. 12A, FIG. 12B, and FIG. 12C are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) at the time of infinite object point focusing of the zoom lens according to the sixth embodiment, where, FIG. 12A shows a state at the wide angle end, FIG. 12B shows an intermediate focal length state, and FIG. 12C shows a state at the telephoto end.

The zoom lens according to the sixth embodiment includes in order from an object side, a first lens group G1 having a positive refractive power, a second lens group G2 having a negative refractive power, an aperture stop S, a third lens group G3 having a positive refractive power, a fourth lens group G4 having a positive refractive power, and a fifth lens group G5 having a positive refractive power.

The first lens group G1 includes in order from the object side, a cemented lens of a negative meniscus lens L1 (optical element B) having a convex surface directed toward the object side, a positive meniscus lens L2 (refractive optical element A) having a convex surface directed toward the object side, and a positive meniscus lens L3 having a convex surface directed toward the object side, and a positive meniscus lens L4 having a convex surface directed toward the object side, and has a positive refractive power as a whole. Here, a partial dispersion ratio θgF of the refractive optical element A of the cemented lens in the first lens group G1 is 0.718. Moreover, Abbe's number (νd_A) for the refractive optical element A is 17.00.

The fourth lens group G4 includes a cemented lens of a biconvex positive lens L14, a cemented layer L15, and a biconcave negative lens L16, and has a positive refractive power as a whole.

The fifth lens group G5 includes a biconvex positive lens L17, and has a positive refractive power as a whole.

At the time of zooming from the wide angle end to the telephoto end, the first lens group G1 moves toward the object side. The second lens group G2 moves toward the image side. The third lens group G3, after moving toward the object side, moves toward the image side. The fourth lens group G4, after moving toward the object side, moves toward the image side. The fifth lens group G5 is fixed.

Next, a zoom lens according to a seventh embodiment of the present invention will be described below. FIG. 13A, FIG. 13B, and FIG. 13C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of the zoom lens according to the seventh embodiment of the present invention, where, FIG. 13A shows a state at a wide angle end, FIG. 13B shows an intermediate focal length state, and FIG. 13C shows a state at a telephoto end.

FIG. 14A, FIG. 14B, and FIG. 14C are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) at the time of infinite object point focusing of the zoom lens according to the seventh embodiment, where, FIG. 14A shows a state at the wide angle end, FIG. 14B shows an intermediate focal length state, and FIG. 14C shows a state at the telephoto end.

The zoom lens according to the seventh embodiment includes in order from an object side, a first lens group G1 having a positive refractive power, a second lens group G2 having a negative refractive power, an aperture stop S, a third lens group G3 having a positive refractive power, a fourth lens group G4 having a positive refractive power, and a fifth lens group G5 having a positive refractive power.

The first lens group G1 includes in order from the object side, a cemented lens of a negative meniscus lens L1 (optical element B) having a convex surface directed toward the object side, a positive meniscus lens L2 (refractive optical element A) having a convex surface directed toward the object side, and a positive meniscus lens L3 having a convex surface directed toward the object side, and a positive meniscus lens L4 having a convex surface directed toward the object side, and has a positive refractive power as a whole. Here, a partial dispersion ratio θgF of the refractive optical element A of the cemented lens in the first lens group G1 is 0.718. Moreover, Abbe's number (νd_A) for the refractive optical element A is 17.00.

The fourth lens group G4 includes a cemented lens of a biconvex positive lens L14, a cemented layer L15, and a biconcave negative lens L16, and has a positive refractive power as a whole.

The fifth lens group G5 includes a biconvex positive lens L17, and has a positive refractive power as a whole.

At the time of zooming from the wide angle end to the telephoto end, the first lens group G1 moves toward the object side. The second lens group G2 moves toward the image side. The third lens group G3 moves toward the object side. The fourth lens group G4, after moving toward the object side, moves toward the image side. The fifth lens group G5 is fixed.

Next, a zoom lens according to an eighth embodiment of the present invention will be described below. FIG. 15A, FIG. 15B, and FIG. 15C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of the zoom lens according to the eighth embodiment of the present invention, where, FIG. 15A shows a state at a wide angle end, FIG. 15B shows an intermediate focal length state, and FIG. 15C shows a state at a telephoto end.

FIG. 16A, FIG. 16B, and FIG. 16C are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) at the time of infinite object point focusing of the zoom lens according to the eighth embodiment, where, FIG. 16A shows a state at the wide angle end, FIG. 16B shows an intermediate focal length state, and FIG. 16C shows a state at the telephoto end.

The zoom lens according to the eighth embodiment includes in order from an object side, a first lens group G1 having a positive refractive power, a second lens group G2 having a negative refractive power, an aperture stop S, a third lens group G3 having a positive refractive power, a fourth lens group G4 having a positive refractive power, and a fifth lens group G5 having a positive refractive power.

The first lens group G1 includes in order from the object side, a cemented lens of a negative meniscus lens L1 (optical element B) having a convex surface directed toward the object side, a positive meniscus lens L2 (refractive optical element A) having a convex surface directed toward the object side, and a positive meniscus lens L3 having a convex surface directed toward the object side, and a positive meniscus lens L4 having a convex surface directed toward the object side, and has a positive refractive power as a whole. Here, a partial dispersion ratio θgF of the refractive optical element A of the cemented lens in the first lens group G1 is 0.718. Moreover, Abbe's number (νd_A) for the refractive optical element A is 17.00.

The fourth lens group G4 includes a cemented lens of a biconvex positive lens L14, a cemented layer L15, and a biconcave negative lens L16, and has a positive refractive power as a whole.

The fifth lens group G5 includes a biconvex positive lens L17, and has a positive refractive power as a whole.

At the time of zooming from the wide angle end to the telephoto end, the first lens group G1 moves toward the object side. The second lens group G2 moves toward the image side. The third lens group G3 moves toward the object side. The fourth lens group G4, after moving toward the object side, moves toward the image side. The fifth lens group G5 is fixed.

Next, a zoom lens according to a ninth embodiment of the present invention will be described below. FIG. 17A, FIG. 17B, and FIG. 17C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of the zoom lens according to the ninth embodiment of the present invention, where, FIG. 17A shows a state at a wide angle end, FIG. 17B shows an intermediate focal length state, and FIG. 17C shows a state at a telephoto end.

FIG. 18A, FIG. 18B, and FIG. 18C are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) at the time of infinite object point focusing of the zoom lens according to the ninth embodiment, where, FIG. 18A shows a state at the wide angle end, FIG. 18B shows an intermediate focal length state, an FIG. 18C shows a state at the telephoto end.

The zoom lens according to the ninth embodiment includes in order from an object side, a first lens group G1 having a positive refractive power, a second lens group G2 having a negative refractive power, an aperture stop S, a third lens group G3 having a positive refractive power, a fourth lens group G4 having a positive refractive power, and a fifth lens group G5 having a positive refractive power.

The first lens group G1 includes in order from the object side, a cemented lens of a negative meniscus lens L1 (optical element B) having a convex surface directed toward the object side, a positive meniscus lens L2 (refractive optical element A) having a convex surface directed toward the object side, and a biconvex positive lens L3, and a positive meniscus lens L4 having a convex surface directed toward the object side, and has a positive refractive power as a whole. Here, a partial dispersion ratio θgF of the refractive optical element A of the cemented lens in the first lens group G1 is 0.738. Moreover, Abbe's number (νd_A) for the refractive optical element A is 15.00.

The fourth lens group G4 includes a cemented lens of a biconvex positive lens L14, a cemented layer L15, and a biconcave negative lens L16, and has a positive refractive power as a whole.

The fifth lens group G5 includes a biconvex positive lens L17, and has a positive refractive power as a whole.

At the time of zooming from the wide angle end to the telephoto end, the first lens group G1 moves toward the object side. The second lens group G2 moves toward the image side. The third lens group G3 moves toward the object side. The fourth lens group G4, after moving toward the object side, moves slightly and assumes almost a fixed state. The fifth lens group G5 is fixed.

Next, a zoom lens according to a tenth embodiment of the present invention will be described below. FIG. 19A, FIG. 19B, and FIG. 19C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of the zoom lens according to the tenth embodiment of the present invention, where, FIG. 19A shows a state at a wide angle end, FIG. 19B shows an intermediate focal length state, and FIG. 19C shows a state at a telephoto end.

FIG. 20A, FIG. 20B, and FIG. 20C are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) at the time of infinite object point focusing of the zoom lens according to the tenth embodiment, where, FIG. 20A shows a state at the wide angle end, FIG. 20B shows an intermediate focal length state, and FIG. 20C shows a state at the telephoto end.

The zoom lens according to the tenth embodiment includes in order from an object side, a first lens group G1 having a positive refractive power, a second lens group G2 having a negative refractive power, an aperture stop S, a third lens group G3 having a positive refractive power, a fourth lens group G4 having a positive refractive power, and a fifth lens group G5 having a positive refractive power.

The first lens group G1 includes in order from the object side, a cemented lens of a negative meniscus lens L1 (optical element B) having a convex surface directed toward the object side, a positive meniscus lens L2 (refractive optical element A) having a convex surface directed toward the object side, and a positive meniscus lens L3 having a convex surface directed toward the object side, and a positive meniscus lens L4 having a convex surface directed toward the object side, and has a positive refractive power as a whole. Here, a partial dispersion ratio θgF of the refractive optical element A of the cemented lens in the first lens group G1 is 0.761. Moreover, Abbe's number (νd_A) for the refractive optical element A is 17.01.

The fourth lens group G4 includes a cemented lens of a biconvex positive lens L14, a cemented layer L15, and a biconcave negative lens L16, and has a positive refractive power as a whole.

The fifth lens group G5 includes a biconvex positive lens L17, and has a positive refractive power as a whole.

At the time of zooming form the wide angle end to the telephoto end, the first lens group G1 moves toward the object side. The second lens group G2 moves toward the image side. The third lens group G3 moves toward the object side. The fourth lens group G4, after moving to the object side, moves slightly and assumes almost a fixed state. The fifth lens group G5 is fixed.

Next, a zoom lens according to en eleventh embodiment of the present invention will be described below. FIG. 21A, FIG. 21B, and FIG. 21C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of the zoom lens according to the eleventh embodiment of the present invention, where, FIG. 21A shows a state at a wide angle end, FIG. 21B shows an intermediate focal length state, and FIG. 21C shows a state at a telephoto end.

FIG. 22A, FIG. 22B, and FIG. 22C are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) at the time of infinite object point focusing of the zoom lens according to the eleventh embodiment, where, FIG. 22A shows a state at the wide angle end, FIG. 22B shows an intermediate focal length state, and FIG. 22C shows a state at the telephoto end.

The zoom lens according to the eleventh embodiment includes in order from an object side, a first lens group G1 having a positive refractive power, a second lens group G2 having a negative refractive power, an aperture stop S, a third lens group G3 having a positive refractive power, a fourth lens group G4 having a positive refractive power, and a fifth lens group G5 having a positive refractive power. The first lens group G1 includes in order from the object side a cemented lens of a negative meniscus lens L1 (optical element B) having a convex surface directed toward the object side, a positive meniscus lens L2 (refractive optical element A) having a convex surface directed toward the object side, and a biconvex positive lens L3, and a positive meniscus lens L4 having a convex surface directed toward the object side, and has a positive refractive power as a whole. Here, a partial dispersion ratio θgF of the refractive optical element A of the cemented lens in the first lens group G1 is 0.761. Moreover, Abbe's number (νd_A) for the refractive optical element A is 17.01.

The lens group G3 includes in order from the object side, a biconvex positive lens L10, a negative meniscus lens L11 having a convex surface directed toward the object side, a biconvex positive lens L12, and a negative meniscus lens L13 having a convex surface directed toward the object side, and has a positive refractive power as a whole.

The fourth lens group G4 includes a cemented lens of a biconvex positive lens L14, a cemented layer L15, and a biconcave negative lens L16, and has a positive refractive power as a whole.

The fifth lens group G5 includes a biconvex positive lens L17, and has a positive refractive power as a whole.

Next, a zoom lens according to a twelfth embodiment of the present invention will be described below. FIG. 23A, FIG. 23B, and FIG. 23C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of the zoom lens according to the twelfth embodiment of the present invention, where, FIG. 23A shows a state at a wide angle end, FIG. 23B shows an intermediate focal length state, and FIG. 23C shows a state at a telephoto end.

FIG. 24A, FIG. 24B, and FIG. 24C are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) at the time of infinite object point focusing of the zoom lens according to the twelfth embodiment, where, FIG. 24A shows a state at the wide angle end, FIG. 24B shows an intermediate focal length state, and FIG. 24C shows a state at the telephoto end.

The zoom lens according to the twelfth embodiment includes in order from an object side, a first lens group G1 having a positive refractive power, a second lens group G2 having a negative refractive power, an aperture stop S, a third lens group G3 having a positive refractive power, a fourth lens group G4 having a positive refractive power, and a fifth lens group G5 having a positive refractive power.

The first lens group G1 includes in order from the object side, a cemented lens of a negative meniscus lens L1 (optical element B) having a convex surface directed toward the object side, a positive meniscus lens L2 (refractive optical element A), having a convex surface directed toward the object side, and a biconvex positive lens L3, and a positive meniscus lens L4 having a convex surface directed toward the object side, and has a positive refractive power as a whole. Here, a partial dispersion ratio θgF of the refractive optical element A of the cemented lens in the first lens group G1 is 0.817. Moreover, Abbe's number (νd_A) for the refractive optical element A is 16.99.

The fourth lens group G4 includes a cemented lens of a biconvex positive lens L14, a cemented layer L15, and a biconcave negative lens L16, and has a positive refractive power as a whole.

The fifth lens group G5 includes a biconvex positive lens L17, and has a positive refractive power as a whole.

Next, a zoom lens according to a thirteenth embodiment of the present invention will be described below. FIG. 25A, FIG. 25B, and FIG. 25C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of the zoom lens according to the thirteenth embodiment of the present invention, where, FIG. 25A shows a state at a wide angle end, FIG. 25B shows an intermediate focal length state, and FIG. 25C shows a state at a telephoto end.

FIG. 26A, FIG. 26B, and FIG. 26C are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) at the time of infinite object point focusing of the zoom lens according to the thirteenth embodiment, where, FIG. 26A shows a state at the wide angle end, FIG. 26B shows an intermediate focal length state, and FIG. 26C shows a state at the telephoto end.

The zoom lens according to the thirteenth embodiment includes in order from an object side, a first lens group G1 having a positive refractive power, a second lens group G2 having a negative refractive power, an aperture stop S, a third lens group G3 having a positive refractive power, a fourth lens group G4 having a positive refractive power, and a fifth lens group G5 having a positive refractive power.

The first lens group G1 includes in order from the object side, a cemented lens of a negative meniscus lens L1 (optical element B) having a convex surface directed toward the object side, a positive meniscus lens L2 (refractive optical element A) having a convex surface directed toward the object side, and a biconvex positive lens L3, and a positive meniscus lens L4 having a convex surface directed toward the object side, and has a positive refractive power as a whole. Here, a partial dispersion ratio θgF of the refractive optical element A of the cemented lens in the first lens group G1 is 0.817. Moreover, Abbe's number (νd_A) for the refractive optical element A is 16.99.

The fourth lens group G4 includes a cemented lens of a biconvex positive lens L14, a cemented layer L15, and a biconcave negative lens L16, and has a positive refractive power as a whole.

The fifth lens group G5 includes a biconvex positive lens L17, and has a positive refractive power as a whole.

At the time of zooming from the wide angle end to the telephoto end, the first lens group G1 moves toward the object side. The second lens group G2 moves toward the image side. The third lens group G3 moves toward the object side. The fourth lens group G4, after moving toward the object side, moves slightly and assumes almost a fixed state.

Next, a zoom lens according to a fourteenth embodiment of the present invention will be described below. FIG. 27A, FIG. 27B, and FIG. 27C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of the zoom lens according to the fourteenth embodiment of the present invention, where, FIG. 27A shows a state at a wide angle end, FIG. 27B shows an intermediate focal length state, and FIG. 27C shows a state at a telephoto end.

FIG. 28A, FIG. 28B, and FIG. 28C are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) at the time of infinite object point focusing of the zoom lens according to the fourteenth embodiment, where, FIG. 28A shows a state at the wide angle end, FIG. 28B shows an intermediate focal length state, and FIG. 28C shows a state at the telephoto end.

The zoom lens according to the fourteenth embodiment includes in order from an object side, a first lens group G1 having a positive refractive power, a second lens group G2 having a negative refractive power, an aperture stop S, a third lens group G3 having a positive refractive power, a fourth lens group G4 having a positive refractive power, and a fifth lens group G5 having a positive refractive power.

The first lens group G1 includes in order from the object side, a cemented lens of a negative meniscus lens L1 (optical element B) having a convex surface directed toward the object side, a positive meniscus lens L2 (refractive optical element A) having a convex surface directed toward the object side, and a positive meniscus lens L3 having a convex surface directed toward the object side, and a positive meniscus lens L4 having a convex surface directed toward the object side, and has a positive refractive power as a whole. Here, a partial dispersion ratio θgF of the refractive optical element A of the cemented lens in the first lens group G1 is 0.817. Moreover, Abbe's number (νd_A) for the refractive optical element A is 23.36.

The fourth lens group G4 includes a cemented lens of a biconvex positive lens L14, a cemented layer L15, and a biconcave negative lens L16, and has a positive refractive power as a whole.

The fifth lens group G5 includes a biconvex positive lens L17, and has a positive refractive power as a whole.

At the time of zooming from the wide angle end to the telephoto end, the first lens group G1 moves toward the object side. The second lens group G2 moves toward the image side. The third lens group G3 moves toward the object side. The fourth lens group G4, after moving toward the object side, moves toward the image side. The fifth lens group G5 is fixed.

Next, embodiments from a fifteenth embodiment to an eighteenth embodiment will be described below. In the embodiments from the fifteenth embodiment to the eighteenth embodiment, the following arrangement and action are same.

A zoom lens according to the fifteenth embodiment includes in order from an object side, a first lens group having a positive refractive power, a second lens group having a negative refractive power, an aperture stop, a third lens group having a positive refractive power, a fourth lens group having a positive refractive power, and a fifth lens group having a positive refractive power. The first lens group G1 has the abovementioned refractive optical element A having a positive refractive power, a negative lens (optical element B), and two positive lenses. Correction of chromatic aberration at the telephoto end is carried out effectively by an arrangement of the refractive optical element A and the first lens group G1.

The second lens group includes a negative lens, a negative lens, a positive lens, and a negative lens. A high zoom ratio is achieved by an arrangement of the second lens group G2.

Moreover, in the zoom lens, zooming is carried out by changing distances between the adjacent lens groups such that, at the telephoto end, a distance between the first lens group G1 and the second lens group G2 becomes longer, a distance between the second lens group G2 and the third lens group G3 becomes shorter, and a distance between the third lens group G3 and the fourth lens group G4 becomes longer, as compared to the distances at the wide angle end.

Moreover, the fourth lens group G4 corrects an image-plane fluctuation due to zooming, and at this time, a distance between the fourth lens group G4 and the fifth lens group G5 satisfies conditional expression (20).

Firstly, the zoom lens according to the fifteenth embodiment of the present invention will be described below. FIG. 29A, FIG. 29B, and FIG. 29C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of the zoom lens according to the fifteenth embodiment of the present invention, where, FIG. 29A shows a state at a wide angle end, FIG. 29B shows an intermediate focal length state, and FIG. 29C shows a state at a telephoto end.

FIG. 30A, FIG. 30B, and FIG. 30C are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) at the time of infinite object point focusing of the zoom lens according to the fifteenth embodiment, where, FIG. 30A shows a state at the wide angle end, FIG. 30B shows an intermediate focal length state, and FIG. 30C shows a state at the telephoto end.

The zoom lens according to the fifteenth embodiment includes in order from an object side, a first lens group G1 having a positive refractive power, a second lens group G2 having a negative refractive power, an aperture stop S, a third lens group G3 having a positive refractive power, a fourth lens group G4 having a positive refractive power, and a fifth lens group G5 having a positive refractive power.

The first lens group G1 includes in order from the object side, a cemented lens of a biconvex positive lens L1 (refractive optical element A), a biconcave negative lens L2 (optical element B), and a positive meniscus lens L3 having a convex surface directed toward the object side, and a positive meniscus lens L4 having a convex surface directed toward the object side, and has a positive refractive power as a whole. Here, a partial dispersion ratio θgF of the refractive optical element A of the cemented lens in the first lens group G1 is 0.668. Moreover, Abbe's number (νd_A) for the refractive optical element A is 23.38.

The fourth lens group G4 includes a cemented lens of a biconvex positive lens L14, a cemented layer L15, and a biconcave negative lens L16, and has a positive refractive power as a whole.

The fifth lens group G5 includes a biconvex positive lens L17, and has a positive refractive power as a whole.

At the time of zooming from the wide angle end to the telephoto end, the first lens group G1 moves toward the object side. The second lens group G2, after moving toward the object side, moves toward the image side. The third lens group G3 moves toward the object side. The fourth lens group G4, after moving toward the object side, moves toward the image side. The fifth lens group G5 is fixed.

Next, a zoom lens according to a sixteenth embodiment of the present invention will be described below. FIG. 31A, FIG. 31B, and FIG. 31C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of the zoom lens according to the sixteenth embodiment of the present invention, where, FIG. 31A shows a state at a wide angle end, FIG. 31B shows an intermediate focal length state, and FIG. 31C shows a state at a telephoto end.

FIG. 32A, FIG. 32B, and FIG. 32C are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) at the time of infinite object point focusing of the zoom lens according to the sixteenth embodiment, where, FIG. 32A shows a state at the wide angle end, FIG. 32B shows an intermediate focal length state, and FIG. 32C shows a state at the telephoto end.

The zoom lens according to the sixteenth embodiment includes in order from an object side, a first lens group G1 having a positive refractive power, a second lens group G2 having a negative refractive power, an aperture stop S, a third lens group G3 having a positive refractive power, a fourth lens group G4 having a positive refractive power, and a fifth lens group G5 having a positive refractive power.

The first lens group G1 includes in order from the object side, a cemented lens of a positive meniscus lens L1 (refractive optical element A) having a convex surface directed toward the object side, a negative meniscus lens L2 (optical element B) having a convex surface directed toward the object side, and a positive meniscus lens L3 having a convex surface directed toward the object side, and a positive meniscus lens L4 having a convex surface directed toward the object side, and has a positive refractive power as a whole. Here, a partial dispersion ratio θgF of the refractive optical element A of the cemented lens in the first lens group G1 is 0.690. Moreover, Abbe's number (νd_A) for the refractive optical element A is 20.00. Due to an aspheric surface effect, the positive meniscus lens L1 becomes a biconvex positive lens off axis, and the negative meniscus lens L2 becomes a biconcave negative lens off axis.

The fourth lens group G4 includes a cemented lens of a biconvex positive lens L14, a cemented layer L15, and a biconcave negative lens L16, and has a positive refractive power as a whole.

The fifth lens group G5 includes a biconvex positive lens L17, and has a positive refractive power as a whole.

At the time of zooming from the wide angle end to the telephoto end, the first lens group G1 moves toward the object side. The second lens group G2, after moving toward the object side, moves toward the image side. The third lens group G3, after moving toward the object side, moves slightly and assumes almost a fixed state. The fourth lens group G4, after moving toward the object side, moves slightly and assumes almost a fixed state. The fifth lens group G5 is fixed.

Next, a zoom lens according to a seventeenth embodiment of the present invention will be described below. FIG. 33A, FIG. 33B, and FIG. 33C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of the zoom lens according to the seventeenth embodiment of the present invention, where, FIG. 33A shows a state at a wide angle end, FIG. 33B shows an intermediate focal length state, and FIG. 33C shows a state at a telephoto end.

FIG. 34A, FIG. 34B, and FIG. 34C are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) at the time of infinite object point focusing of the zoom lens according to the seventeenth embodiment, where, FIG. 34A shows a state at the wide angle end, FIG. 34B shows an intermediate focal length state, and FIG. 34C shows a state at the telephoto end.

The zoom lens according to the seventeenth embodiment includes in order from an object side, a first lens group G1 having a positive refractive power, a second lens group G2 having a negative refractive power, an aperture stop S, a third lens group G3 having a positive refractive power, a fourth lens group G4 having a positive refractive power, and a fifth lens group G5 having a positive refractive power.

The first lens group G1 includes in order from the object side, a cemented lens of a positive meniscus lens L1 (refractive optical element A) having a convex surface directed toward the object side, a negative meniscus lens L2 (optical element B) having a convex surface directed toward the object side, and a positive meniscus lens L3 having a convex surface directed toward the object side, and a positive meniscus lens L4 having a convex surface directed toward the object side. Here, a partial dispersion ratio θgF of the refractive optical element A of the cemented lens in the first lens group G1 is 0.817. Moreover, Abbe's number (νd_A) for the refractive optical element A is 23.36.

The fourth lens group G4 includes a cemented lens of a biconvex positive lens L14, a cemented layer L15, and a biconcave negative lens L16, and has a positive refractive power as a whole.

The fifth lens group G5 includes a biconvex positive lens L17, and has a positive refractive power as a whole.

At the time of zooming from the wide angle end to the telephoto end, the first lens group G1 moves to the object side. The second lens group G2, after moving toward the object side, moves toward the image side. The third lens group G3 moves toward the object side. The fourth lens group G4 moves toward the object side. The fifth lens group G5 is fixed.

Next, a zoom lens according to the eighteenth embodiment of the present invention will be described below. FIG. 35A, FIG. 35B, and FIG. 35C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of the zoom lens according to the eighteenth embodiment of the present invention, where, FIG. 35A shows a state at a wide angle end, FIG. 35B shows an intermediate focal length state, and FIG. 35C shows a state at a telephoto end.

FIG. 36A, FIG. 36B, and FIG. 36C are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) at the time of infinite object point focusing of the zoom lens according to the eighteenth embodiment, where, FIG. 36A shows a state at the wide angle end, FIG. 36B shows an intermediate focal length state, and FIG. 36C shows a state at the telephoto end.

The zoom lens according to the eighteenth embodiment includes in order from an object side, a first lens group G1 having a positive refractive power, a second lens group G2 having a negative refractive power, an aperture stop S, a third lens group G3 having a positive refractive power, a fourth lens group G4 having a positive refractive power, and a fifth lens group G5 having a positive refractive power.

The first lens group G1 includes in order from the object side, a cemented lens of a positive meniscus lens L1 (refractive optical element A) having a convex surface directed toward the object side, a negative meniscus lens L2 (optical element B) having a convex surface directed toward the object side, and a positive meniscus lens L3 having a convex surface directed toward the object side, and a positive meniscus lens L4 having a convex surface directed toward the object side, and has a positive refractive power as a whole. Here, a partial dispersion ratio θgF of the refractive optical element A of the cemented lens in the first lens group G1 is 0.817. Moreover, Abbe's number (νd_A) for the refractive optical element A is 16.99. Due to an aspheric surface effect, the positive meniscus lens L1 becomes a biconvex positive lens off axis, and the negative meniscus lens L2 becomes a biconcave negative lens off axis.

The fourth lens group G4 includes a cemented lens of a biconvex positive lens L14, a cemented layer L15, and a biconcave negative lens L16, and has a positive refractive power as a whole.

The fifth lens group G5 includes a biconvex positive lens L17, and has a positive refractive power as a whole.

Next, embodiments from a nineteenth embodiment to a twenty second embodiment will be described below. In the embodiments from the nineteenth embodiment to the twenty second embodiment, the following arrangement and action are same. A zoom lens according to the nineteenth embodiment includes in order from an object side, a first lens group having a positive refractive power, a second lens group having a negative refractive power, an aperture stop, a third lens group having a positive refractive power, a fourth lens group having a positive refractive power, and a fifth lens group having a positive refractive power. The first lens group G1 has a negative lens (optical element B), the abovementioned refractive optical element A having a positive refractive power, and one positive lens. Correction of chromatic aberration at the telephoto end is carried out effectively by an arrangement of the refractive optical element A and the first lens group.

The second lens group includes a negative lens, a negative lens, a positive lens, and a negative lens. A high zoom ratio is achieved by an arrangement of the second lens group.

Moreover, in the zoom lens, zooming is carried out by changing distances between the adjacent lens groups such that, at the telephoto end, a distance between the first lens group G1 and the second lens group G2 becomes longer, a distance between the second lens group G2 and the third lens group G3 becomes shorter, and a distance between the third lens group G3 and the fourth lens group G4 becomes longer, as compared to the distances at the wide angle end.

Moreover, the fourth lens group G4 corrects a fluctuation of an image plane due to zooming, and at this time, a distance between the fourth lens group G4 and the fifth lens group G5 satisfies conditional expression (20).

Firstly the zoom lens according to the nineteenth embodiment of the present invention will be described below. FIG. 37A, FIG. 37B, and FIG. 37C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of the zoom lens according to the nineteenth embodiment of the present invention, where, FIG. 37A shows a state at a wide angle end, FIG. 37B shows an intermediate focal length state, and FIG. 37C shows a state at a telephoto end.

FIG. 38A, FIG. 38B, and FIG. 38C are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) at the time of infinite object point focusing of the zoom lens according to the nineteenth embodiment, where, FIG. 38A shows a state at the wide angle end, FIG. 38B shows an intermediate focal length state, and FIG. 38C shows a state at the telephoto end.

The zoom lens according to the nineteenth embodiment includes in order from an object side, a first lens group G1 having a positive refractive power, a second lens group G2 having a negative refractive power, an aperture stop S, a third lens group G3 having a positive refractive power, a fourth lens group G4 having a positive refractive power, and a fifth lens group G5 having a positive refractive power.

The first lens group G1 includes in order from the object side, a positive meniscus lens L1 having a convex surface directed toward the object side, and a cemented lens of a negative meniscus lens L2 (optical element B) having a convex surface directed toward the object side, a positive meniscus lens L3 (refractive optical element A) having a convex surface directed toward the object side, and a positive meniscus lens L4 having a convex surface directed toward the object side, and has a positive refractive power as a whole. Here, a partial dispersion ratio θgF of the refractive optical element A of the cemented lens in the first lens group G1 is 0.668. Moreover, Abbe's number (νd_A) for the refractive optical element A is 23.38.

The fourth lens group G4 includes a cemented lens of a biconvex positive lens L14, a cemented layer L15, and a biconcave negative lens L16, and has a positive refractive power as a whole.

The fifth lens group G5 includes a biconvex positive lens L17, and has a positive refractive power as a whole.

At the time of zooming from the wide angle end to the telephoto end, the first lens group G1 moves toward the object side. The second lens group G2, after moving toward the image side, moves toward the object side. The third lens group G3 moves toward the object side. The fourth lens group G4, after moving toward the object side, moves toward the image side. The fifth lens group G5 is fixed.

Next, a zoom lens according to a twentieth embodiment of the present invention will be described below. FIG. 39A, FIG. 39B, and FIG. 39C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of the zoom lens according to the twentieth embodiment of the present invention, where, FIG. 39A shows a state at a wide angle end, FIG. 39B shows an intermediate focal length state, and FIG. 39C shows a state at a telephoto end.

FIG. 40A, FIG. 40B, and FIG. 40C are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) at the time of infinite object point focusing of the zoom lens according to the twentieth embodiment, where, FIG. 40A shows a state at the wide angle end, FIG. 40B shows an intermediate focal length state, and FIG. 40C shows a state at the telephoto end.

The zoom lens according to the twentieth embodiment includes in order from an object side, a first lens group G1 having a positive refractive power, a second lens group G2 having a negative refractive power, an aperture stop S, a third lens group G3 having a positive refractive power, a fourth lens group G4 having a positive refractive power, and a fifth lens group G5 having a positive refractive power.

The first lens group G1 includes in order form the object side, a positive meniscus lens L1 having a convex surface directed toward the object side, and a cemented lens of a negative meniscus lens L2 (optical element B) having a convex surface directed toward the object side, a positive meniscus lens L3 (refractive optical element A) having a convex surface directed toward the object side, and a positive meniscus lens L4 having a convex surface directed toward the object side, and has a positive refractive power as a whole. Here, a partial dispersion ratio θgF of the refractive optical element A of the cemented lens in the first lens group G1 is 0.668. Moreover, Abbe's number (νd_A) for the refractive optical element A is 23.38.

The fourth lens group G4 includes a cemented lens of a biconvex positive lens L14, a cemented layer L15, and a biconcave negative lens L16, and has a positive refractive power as a whole.

The fifth lens group G5 includes a biconvex positive lens L17, and has a positive refractive power as a whole.

At the time of zooming from the wide angle end to the telephoto end, the first lens group G1 moves toward the object side. The second lens group G2 moves toward the object side. The third lens group G3 moves toward the object side. The fourth lens group G4, after moving toward the object side, moves toward the image side. Fifth lens group G5 is fixed.

Next, a zoom lens according to a twenty first embodiment of the present invention will be described below. FIG. 41A, FIG. 41B, and FIG. 41C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of the zoom lens according to the twenty first embodiment of the present invention, where, FIG. 41A shows a state at a wide angle end, FIG. 41B shows an intermediate focal length state, and FIG. 41C shows a state at a telephoto end.

FIG. 42A, FIG. 42B, and FIG. 42C are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) at the time of infinite object point focusing of the zoom lens according to the twenty first embodiment, where, FIG. 42A shows a state at the wide angle end, FIG. 42B shows an intermediate focal length state, and FIG. 42C shows a state at the telephoto end.

The zoom lens according to the twenty first embodiment includes in order from an object side, a first lens group G1 having a positive refractive power, a second lens group G2 having a negative refractive power, an aperture stop S, a third lens group G3 having a positive refractive power, a fourth lens group G4 having a positive refractive power, and a fifth lens group G5 having a positive refractive power.

The first lens group G1 includes in order from the object side, a positive meniscus lens L1 having a convex surface directed toward the object side, and a cemented lens of a negative meniscus lens L2 (optical element B) having a convex surface directed toward the object side, a positive meniscus lens L3 (refractive optical element A) having a convex surface directed toward the object side, and a positive meniscus lens L4 having a convex surface directed toward the object side, and has a positive refractive power as a whole. Here, a partial dispersion ratio θgF of the refractive optical element A of the cemented lens in the first lens group G1 is 0.761. Moreover, Abbe's number (νd_A) for the refractive optical element A is 17.01.

The fourth lens group G4 includes a cemented lens of a biconvex positive lens L14, a cemented layer L15, and a biconcave negative lens L16, and has a positive refractive power as a whole.

The fifth lens group G5 includes a biconvex positive lens L17, and has a positive refractive power as a whole.

Next, a zoom lens according to the twenty second embodiment of the present invention will be described below. FIG. 43A, FIG. 43B, and FIG. 43C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of the zoom lens according to the twenty second embodiment of the present invention, where, FIG. 43A shows a state at a wide angle end, FIG. 43B shows an intermediate focal length state, and FIG. 43C shows a state at a telephoto end.

FIG. 44A, FIG. 44B, and FIG. 44C are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) at the time of infinite object point focusing of the zoom lens according to the twenty second embodiment, where, FIG. 44A shows a state at the wide angle end, FIG. 44B shows an intermediate focal length state, and FIG. 44C shows a state at the telephoto end.

The zoom lens according to the twenty second embodiment includes in order from an object side, a first lens group G1 having a positive refractive power, a second lens group G2 having a negative refractive power, an aperture stop S, a third lens group G3 having a positive refractive power, a fourth lens group G4 having a positive refractive power, and a fifth lens group G5 having a positive refractive power.

The first lens group G1 includes in order from the object side, a positive meniscus lens L1 having a convex surface directed toward the object side, and a cemented lens of a negative meniscus lens L2 (optical element B) having a convex surface directed toward the object side, a positive meniscus lens L3 (refractive optical element A) having a convex surface directed toward the object side, and a positive meniscus lens L4 having a convex surface directed toward the object side, and has a positive refractive power as a whole. Here, a partial dispersion ratio θgF of the refractive optical element A of the cemented lens in the first lens group G1 is 0.817. Moreover, Abbe's number (νd_A) for the refractive optical element A is 16.99.

The fourth lens group G4 includes a cemented lens of a biconvex positive lens L14, a cemented layer L15, and a biconcave negative lens L16, and has a positive refractive power as a whole.

The fifth lens group G5 includes a biconvex positive lens L17, and has a positive refractive power as a whole.

At the time of zooming from the wide angle end to the telephoto end, the first lens group G1 moves toward the object side. The second lens group G2, after moving toward the image side, moves slightly and assumes almost a fixed state. The third lens group G3 moves toward the object side. The fourth lens group G4, after moving toward the object side, moves toward the image side. The fifth lens group G5 is fixed.

Next, a zoom lens according to a twenty third embodiment of the present invention will be described below. FIG. 45A, FIG. 45B, and FIG. 45C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of the zoom lens according to the twenty third embodiment of the present invention, where, FIG. 45A shows a state at a wide angle end, FIG. 45B shows an intermediate focal length state, and FIG. 45C shows a state at a telephoto end.

FIG. 46A, FIG. 46B, and FIG. 46C are diagrams showing a spherical aberration (SA), an astigmatism (AS), a distortion (DT), and a chromatic aberration of magnification (CC) at the time of infinite object point focusing of the zoom lens according to the twenty third embodiment, where, FIG. 46A shows a state at the wide angle end, FIG. 46B shows an intermediate focal length state, and FIG. 46C shows a state at the telephoto end.

The zoom lens according to the twenty third embodiment, as shown in Fig. FIG. 45A, FIG. 45B, and FIG. 45C, includes in order from an object side, a first lens group G1, a second lens group G2, an aperture stop S, a third lens group G3, a fourth lens group G4, and a fifth lens group G5.

The first lens group G1 includes in order from the object side, a cemented lens of a negative meniscus lens L1 (optical element B) having a convex surface directed toward the object side, a positive meniscus lens L2 (refractive optical element A) having a convex surface directed toward the object side, and a positive meniscus lens L3 (optical element C) having a convex surface directed toward the object side, and a positive meniscus lens L4 having a convex surface directed toward the object side, and has a positive refractive power as a whole. Here, a partial dispersion ratio (θgF_A) of the refractive optical element A of the cemented lens in the first lens group G1 is 0.817. Moreover, Abbe's number (νd_A) for the refractive optical element A is 23.36.

The second lens group G2 includes in order from the object side, a negative meniscus lens L5 having a convex surface directed toward the object side, a cemented lens of a biconcave negative lens L6 and a biconvex positive lens L8, and a negative meniscus lens L9 having a convex surface directed toward an image side, and has a negative refractive power as a whole. L7 is a cemented surface.

The fourth lens group G4 includes a cemented lens of a biconvex positive lens L14 and a biconcave negative lens L16 in order from the object side, and has a positive refractive power as a whole. L15 is a cemented surface.

The fifth lens group G5 includes in order from the object side, a biconvex positive lens L17, and has a positive refractive power as a whole.

An aspheric surface is provided to six surfaces namely, a surface on the image side of the negative meniscus lens L9 on the image side in the second lens group G1, a surface on the object side of the biconvex positive lens L10 on the object side and both surfaces of the negative meniscus lens L13 on the image side in the third lens group G3, and both surfaces of the biconvex positive lens L17 in the fifth lens group G5.

A zoom lens in each of embodiments from a twenty fourth embodiment to a twenty ninth embodiment includes in order from an object side, a first lens group G1 having a positive refractive power, a second lens group G2 having a negative refractive power, an aperture stop S, a third lens group G3 having a positive refractive power, a fourth lens group G4 having a positive refractive power, and a fifth lens group G5 having a positive refractive power. The first lens group G1 has one positive lens, a negative lens (optical element B), the abovementioned refractive optical element A having a positive refractive power, and a positive lens (optical element C) having a positive refractive power. Correction of chromatic aberration at the telephoto end is carried out effectively by an arrangement of the refractive optical element A and the first lens group G1.

The second lens group G2 includes a negative lens, a negative lens, a positive lens, and a negative lens. A high zoom ratio is achieved by an arrangement of the second lens group G2.

Zooming is carried out by changing distances between the adjacent lens groups such that, at the telephoto end, a distance between the first lens group G1 and the second lens group G2 becomes longer, a distance between the second lens group G2 and the third lens group G3 becomes shorter, and a distance between the third lens group G3 and the fourth lens group G4 becomes longer, as compared to the distances at the wide angle end.

Next, a zoom lens according to the twenty fourth embodiment of the present invention will be described below. FIG. 47A, FIG. 47B, and FIG. 47C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of the zoom lens according to the twenty fourth embodiment of the present invention, where, FIG. 47A shows a state at a wide angle end, FIG. 47B shows an intermediate focal length state, and FIG. 47C shows a state at a telephoto end.

FIG. 48A, FIG. 48B, and FIG. 48C are diagrams showing a spherical aberration, an astigmatism, a distortion, and a chromatic aberration of magnification, at the time of infinite object point focusing of the zoom lens according to the twenty fourth embodiment, where, FIG. 48A shows a state at the wide angle end, FIG. 48B shows an intermediate focal length state, and FIG. 48C shows a state at the telephoto end.

The zoom lens according to the twenty fourth embodiment, as shown in FIG. 47A, FIG. 47B, and FIG. 47C, includes in order from an object side, a first lens group G1, a second lens group G2, an aperture stop S, a third lens group G3, a fourth lens group G4, and a fifth lens group G5.

The first lens group G1 includes in order from the object side, a positive meniscus lens L1 having a convex surface directed toward the object side, and a cemented lens of a negative meniscus lens L2 (optical element B) having a convex surface directed toward the object side, a positive meniscus lens L3 (refractive optical element A) having a convex surface directed toward the object side, and a positive meniscus lens L4 (optical element C) having a convex surface directed toward the object side, and has a positive refractive power as a whole. Here, a partial dispersion ratio (θgF_A) of the refractive optical element A of the cemented lens in the first lens group G1 is 0.668. Moreover, Abbe's number (νd_A) for the refractive optical element A is 23.38.

The fifth lens group G5 includes in order from the object side, a biconvex positive lens L17, and has a positive refractive power as a whole.

An aspheric surface is provided to six surfaces namely, a surface on the image side of the negative meniscus lens L9 on the image side in the second lens group G2, a surface on the object side of the biconvex positive lens L10 on the object side and both surfaces of the negative meniscus lens L13 on the image side in the third lens group G3, and both surfaces of the biconvex positive lens L17 in the fifth lens group G5.

Next, a zoom lens according to a twenty fifth embodiment of the present invention will be described below. FIG. 49A, FIG. 49B, and FIG. 49C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of the zoom lens according to the twenty fifth embodiment of the present invention, where, FIG. 49A shows a state at a wide angle end, FIG. 49B shows an intermediate focal length state, and FIG. 49C shows a state at a telephoto end.

The zoom lens according to the twenty fifth embodiment, as shown in FIG. 49A, FIG. 49B, and FIG. 49C, includes in order from an object side, a first lens group G1, a second lens group G2, an aperture stop S, a third lens group G3, a fourth lens group G4, and a fifth lens group G5.

The first lens group G1 includes in order from the object side, a positive meniscus lens L1 having a convex surface directed toward the object side, and a cemented lens of a negative meniscus lens L2 (optical element B) having a convex surface directed toward the object side, a positive meniscus lens L3 (refractive optical element A) having a convex surface directed toward the object side, and a positive meniscus lens L4 (optical element C) having a convex surface directed toward the object side, and has a positive refractive power as a whole. Here, a partial dispersion ratio (θgF_A) of the refractive optical element A of the cemented lens in the first lens group G1 is 0.690. Moreover, Abbe's number (νd_A) for the refractive optical element A is 20.00.

The fifth lens group G5 includes in order from the object side, a biconvex positive lens L17, and has a positive refractive power as a whole.

At the time of zooming from the wide angle end to the telephoto end, the first lens group G1 moves toward the object side. The second lens group G2 moves toward the image side. The third lens group G3 moves toward the object side. The fourth lens group G4, after moving toward the object side, moves toward the image side. The fifth lens group G5 is fixed. The aperture stop S moves together with the third lens group G3.

Next, a zoom lens according to a twenty sixth embodiment of the present invention will be described below. FIG. 51A, FIG. 51B, and FIG. 51C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of the zoom lens according to the twenty sixth embodiment of the present invention, where, FIG. 51A shows a state at a wide angle end, FIG. 51B shows an intermediate focal length state, and FIG. 51C shows a state at a telephoto end.

The zoom lens according to the twenty sixth embodiment, as shown in FIG. 51A, FIG. 51B, and FIG. 51C, includes in order from an object side, a first lens group G1, a second lens group G2, an aperture stop S, a third lens group G3, a fourth lens group G4, and a fifth lens group G5.

The first lens group G1 includes in order from the object side, a positive meniscus lens L1 having a convex surface directed toward the object side, and a cemented lens of a negative meniscus lens L2 (optical element B) having a convex surface directed toward the object side, a positive meniscus lens L3 (refractive optical element A) having a convex surface directed toward the object side, and a positive meniscus lens L4 (optical element C) having a convex surface directed toward the object side, and has a positive refractive power as a whole. Here, a partial dispersion ratio (θgF_A) of the refractive optical element A of the cemented lens in the first lens group G1 is 0.738. Moreover, Abbe's number (νd_A) for the refractive optical element A is 15.00.

The fourth lens group G4 includes a cemented lens of a biconvex positive lens L14 and a biconcave negative lens L16, in order from the object side, and has a positive refractive power as a whole. L15 is a cemented surface.

The fifth lens group G5 includes in order from the object side, a biconvex positive lens L17, and has a positive refractive power as a whole.

At the time of zooming from the wide angle end to the telephoto end, the first lens group G1 moves toward the object side. The second lens group G2, after moving toward the image side, moves slightly and assumes almost a fixed state. The third lens group G3 moves toward the object side. The fourth lens group G4, after moving toward the object side, moves toward the image side. The fifth lens group G5 is fixed. The aperture stop S moves together with the third lens group G3.

An aspheric surface is provided to six surfaces namely a surface on the image side of the negative meniscus lens L9 on the image side in the second lens group G2, a surface on the object side of the biconvex positive lens L10 on the object side and a both surfaces of the negative meniscus lens L13 on the image side in the third lens group G3, and both surfaces of the biconvex positive lens L17 in the fifth lens group G5.

Next, a zoom lens according to a twenty seventh embodiment of the present invention will be described below. FIG. 53A, FIG. 53B, and FIG. 53C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of the zoom lens according to the twenty seventh embodiment of the present invention, where, FIG. 53A shows a state at a wide angle end, FIG. 53B shows an intermediate focal length state, and FIG. 53C shows a state at a telephoto end.

The zoom lens according to the twenty seventh embodiment, as shown in FIG. 53A, FIG. 53B, and FIG. 53C, includes in order from an object side, a first lens group G1, a second lens group G2, an aperture stop S, a third lens group G3, a fourth lens group G4, and a fifth lens group G5.

The first lens group G1 includes in order from the object side, a positive meniscus lens L1 having a convex surface directed toward the object side, and a cemented lens of a negative meniscus lens L2 (optical element B) having a convex surface directed toward the object side, a positive meniscus lens L3 (refractive optical element A) having a convex surface directed toward the object side, and a positive meniscus lens L4 (optical element C) having a convex surface directed toward the object side, and has a positive refractive power as a whole. Here, a partial dispersion ratio (θgF_A) of the refractive optical element A of the cemented lens in the first lens group G1 is 0.761. Moreover, Abbe's number (νd_A) for the refractive optical element A is 17.01.

The fifth lens group G5 includes in order from the object side, a biconvex positive lens L17, and has a positive refractive power.

Next, a zoom lens according to a twenty eighth embodiment of the present invention will be described below. FIG. 55A, FIG. 55B, and FIG. 55C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of the zoom lens according to the twenty eighth embodiment of the present invention, where, FIG. 55A shows a state at a wide angle end, FIG. 55B shows an intermediate focal length state, and FIG. 55C shows a state at a telephoto end.

The zoom lens according to the twenty eighth embodiment, as shown in FIG. 55A, FIG. 55B, and FIG. 55C, includes in order from an object side, a first lens group G1, a second lens group G2, an aperture stop S, a third lens group G3, a fourth lens group G4, and a fifth lens group G5.

The first lens group G1 includes in order from the object side, a positive meniscus lens L1 having a convex surface directed toward the object side, and a cemented lens of a negative meniscus lens L2 (optical element B) having a convex surface directed toward the object side, a positive meniscus lens L3 (refractive optical element A) having a convex surface directed toward the object side, and a positive meniscus lens L4 (optical element C) having a convex surface directed toward the object side, and has a positive refractive power as a whole. Here, a partial dispersion ratio (θgF_A) of the refractive optical element A of the cemented lens in the first lens group G1 is 0.817. Moreover, Abbe's number (νd_A) for the refractive optical element A is 16.99.

The fourth lens group G4 includes a cemented lens of a biconvex positive lens L14 and a biconcave negative lens L6 in order from the object side, and has a positive refractive power as a whole. L15 is a cemented surface.

The fifth lens group G5 includes in order from the object side, a biconvex positive lens L17, and has a positive refractive power as a whole.

At the time of zooming from the wide angle end to the telephoto end, the first lens group G1 moves toward the object side. The second lens group G2, after moving toward the image side, moves slightly and assumes almost a fixed state. The third lens group G3 moves toward the object side. The fourth lens group G4, after moving toward the object side, moves toward the image side. The fifth lens group G5 is fixed. The aperture stop S moves together with the third lens group G3.

Next, a zoom lens according to a twenty ninth embodiment of the present invention will be described below. FIG. 57A, FIG. 57B, and FIG. 57C are cross-sectional views along an optical axis showing an optical arrangement at the time of infinite object point focusing of the zoom lens according to the twenty ninth embodiment of the present invention, where, FIG. 57A shows a state at a wide angle end, FIG. 57B shows an intermediate focal length state, and FIG. 57C shows a state at a telephoto end.

The zoom lens according to the twenty ninth embodiment, as shown in FIG. 57A, FIG. 57B, and FIG. 57C, includes in order form an object side, a first lens group G1, a second lens group G2, an aperture stop S, a third lens group G3, a fourth lens group G4, and a fifth lens group G5.

The first lens group G1 includes in order from the object side, a positive meniscus lens L1 having a convex surface directed toward the object side, and a cemented lens of a negative meniscus lens L2 (optical element B) having a convex surface directed toward the object side, a positive meniscus lens L3 (refractive optical element A) having a convex surface directed toward the object side, and a positive meniscus lens L4 (optical element C) having a convex surface directed toward the object side, and has a positive refractive power as a whole. Here, a partial dispersion ratio (θgF_A) of the refractive optical element A of the cemented lens in the first lens group G1 is 0.817. Moreover, Abbe's number (νd_A) for the refractive optical element A is 23.36.

The second lens group G2 includes in order from the object side, a negative meniscus lens L5 having a convex surface directed toward the object side, a cemented lens of the biconcave lens L6 and a biconvex lens L8, and a negative meniscus lens L9 having a convex surface directed toward an image side, and has a negative refractive power as a whole. L7 is a cemented surface.

The third lens group G3 includes in order form the object side, a biconvex positive lens L10, a negative meniscus lens L11 having a convex surface directed toward the object side, a biconvex positive lens L12, and a negative meniscus lens L13 having a convex surface directed toward the object side, and has a positive refractive power as a whole.

The fifth lens group G5 includes in order from the object side, a biconvex positive lens L17, and has a positive refractive power as a whole.

At the time of zooming from the wide angle end to the telephoto end, the first lens group G1 moves toward the object side. The second lens group G2, after moving toward the image side, moves slightly and assumes almost a fixed state. The third lens group G3 moves toward the object side. The fourth lens group G4, after moving toward the object side, moves toward the image side. The fifth lens group G5 is fixed. The aperture stop S moves together with the third lens group G3.

Numerical data of each embodiment described above is shown below. Each of r1, r2, . . . denotes radius of curvature of each lens surface, each of d1, d2, . . . denotes a distance between two lenses, each of nd1, nd2, . . . denotes a refractive index of each lens for a d-line, and each of νd1, νd2, . . . denotes an Abbe constant for each lens. F_NOdenotes an F number, f denotes a focal length of the entire zoom lens system, D0 denotes a distance from an object to a first surface. Further, * denotes an aspheric data.

When z is let to be an optical axis with a direction of traveling of light as a positive (direction), and y is let to be in a direction orthogonal to the optical axis, a shape of the aspheric surface is described by the following expression.

z=(y²/r)/[1+{1−(K+1)(y/r)²}^1/2]+A₄y⁴+A₆y⁶+A₈y⁸+A₁₀y¹⁰

where, r denotes a paraxial radius of curvature, K denotes a conical coefficient, A4, A6, A8, and A10 denote aspherical surface coefficients of a fourth order, a sixth order, an eight order, a tenth order respectively. Moreover, in the aspherical surface coefficients, ‘e-n’ (where, n is an integral number) indicates ‘10⁻ⁿ’.

These symbols are common in the numerical data of the following embodiments.

Example 1

Unit mm

Surface data

effective

Surface no.
r
d
nd
νd
radius

Object plane
∞
∞

1
57.000
1.00
1.80810
22.76
17.50

2
31.922
1.00
1.63387
23.38
16.05

3
39.229
4.40
1.49700
81.54
16.00

4
1466.041
0.10

15.50

5
36.008
3.76
1.65160
58.55
14.42

6
121.871
Variable

14.00

7
73.573
1.10
1.88300
40.76
9.19

8
7.653
4.79

6.47

9
−46.254
0.80
1.88300
40.76
6.37

10
12.396
0.01
1.51400
42.83
6.35

11
12.396
4.87
1.78472
25.68
6.36

12
−12.684
1.15

6.40

13
−11.499
0.80
1.77250
49.60
5.63

14*
−175.425
Variable

5.66

15 (stop)
∞
1.30

3.94

16*
10.743
4.93
1.58913
61.14
4.60

17
−78.051
0.10

4.61

18
28.041
2.77
1.84666
23.78
4.59

19
10.632
1.42

4.29

20
14.230
3.12
1.49700
81.54
4.56

21
−36.985
0.64

4.60

22*
69.435
1.36
1.53071
55.69
4.58

23*
34.607
Variable

4.58

24
19.130
2.68
1.49700
81.54
4.85

25
−119.090
0.01
1.51400
42.83
4.72

26
−119.090
0.82
1.80400
46.57
4.72

27
76.031
Variable

4.67

28*
147.374
1.63
1.53071
55.69
4.16

29*
−67.939
1.09

4.07

30
∞
4.00
1.51680
64.20
4.01

31
∞
Variable

3.85

Image plane
∞

Aspherical surface data

14th surface

K = 0.000, A2 = 0.0000E+00, A4 = −9.19823e−05, A6 = −8.80923e−07,

A8 = 4.39702e−08, A10 = −1.24247e−09

16th surface

K = 0.000, A2 = 0.0000E+00, A4 = −8.77784e−05, A6 = −1.01116e−06,

A8 = 5.64180e−08, A10 = −2.23368e−09, A12 = 3.59187e−11

22nd surface

K = 0.000, A2 = 0.0000E+00, A4 = −2.17277e−04, A6 = 5.36299e−06,

A8 = −5.28517e−07, A10 = 1.10330e−08, A12 = −1.37250e−10

23rd surface

K = 0.000, A2 = 0.0000E+00, A4 = −1.09771e−04, A6 = 5.91402e−06,

A8 = −5.09130e−07, A10 = 8.38419e−09, A12 = −4.36735e−11

28th surface

K = 0.000, A2 = 0.0000E+00, A4 = 8.15873e−04, A6 = 4.82675e−06,

A8 = −2.20386e−06, A10 = 4.10510e−08

29th surface

K = 0.000, A2 = 0.0000E+00, A4 = 1.26016e−03, A6 = 1.60282e−05,

A8 = −3.90922e−06, A10 = 7.56282e−08

Various data

Zoom ratio 17.94

Wide angle
Intermediate
Telephoto

Focal length
4.68
19.73
83.85

Fno.
2.66
4.04
4.20

Angle of field 2ω
78.04
20.13
4.80

Image height
3.6
3.6
3.6

Lens total length
83.15
99.31
113.64

BF
4.78
4.68
4.78

d6
1.00
18.10
36.91

d14
25.86
8.76
2.30

d23
1.28
9.91
9.55

d27
5.68
13.31
15.55

Entrance pupil position
19.02
62.76
288.40

Exit pupil position A
−31.23
−88.71
−95.31

Exit pupil position B
−36.01
−93.39
−100.10

Front side principal
23.09
78.33
302.00

point position

Back side principal
−3.62
−18.78
−82.80

point position

Single lens data

Lens
Initial surface
focal length

L1
1
−91.42

L2
2
256.77

L3
3
81.02

L4
5
77.10

L5
7
−9.75

L6
9
−11.00

L7
10
8.81E+04

L8
11
8.73

L9
13
−15.96

L10
16
16.37

L11
18
−21.82

L12
20
21.10

L13
22
−131.79

L14
24
33.38

L15
25
8.13E+06

L16
26
−57.61

L17
28
87.85

Zoom lens group data

Lens
Front side
Back side

Initial
Focal
structure
principal
principal

Unit
surface
length
length
point position
point position

1
1
56.6886
10.2644
1.9306
−4.5773

2
7
−6.8387
13.5160
1.8939
−7.0311

3
15
17.3424
15.6380
1.5104
−9.6395

4
24
73.7783
3.5080
−2.0985
−4.2304

5
28
87.8520
6.7160
0.7294
−4.0624

Lens
Wide angle
Intermediate
Telephoto

Unit
surface
Magnification
Magnification
Magnification

1
1
0.0000
0.0000
0.0000

2
7
−0.1614
−0.2705
−1.0566

3
15
−0.6938
−2.0059
−2.2929

4
24
0.7821
0.6803
0.6483

5
28
0.9418
0.9429
0.9418

Example 2

Unit mm

Surface data

effective

Surface no.
r
d
nd
νd
radius

Object plane
∞
∞

1
62.000
1.00
1.79925
24.62
17.10

2
32.285
0.97
1.63387
23.38
15.66

3
37.493
4.42
1.49700
81.54
15.51

4
5089.283
0.10

15.50

5
35.495
3.22
1.65160
58.55
14.25

6
139.627
Variable

14.00

7
72.020
1.10
1.88300
40.76
9.21

8
7.692
4.79

6.51

9
−46.254
0.80
1.88300
40.76
6.41

10
12.396
0.01
1.51400
42.83
6.42

11
12.396
4.87
1.78472
25.68
6.42

12
−12.684
1.15

6.47

13
−11.499
0.80
1.77250
49.60
5.73

14*
−100.567
Variable

5.78

15(stop)
∞
1.30

3.94

16*
10.743
4.93
1.58913
61.14
4.59

17
−78.051
0.10

4.59

18
28.041
2.77
1.84666
23.78
4.57

19
10.504
1.42

4.26

20
13.924
3.12
1.49700
81.54
4.53

21
−36.985
0.64

4.57

22*
73.125
1.36
1.53071
55.69
4.54

23*
35.555
Variable

4.55

24
19.130
2.68
1.49700
81.54
4.84

25
−119.090
0.01
1.51400
42.83
4.71

26
−119.090
0.82
1.80400
46.57
4.71

27
76.031
Variable

4.66

28*
147.374
1.63
1.53071
55.69
4.17

29*
−67.939
1.09

4.09

30
∞
4.00
1.51680
64.20
4.02

31
∞
1.05

3.86

Image plane
∞

Aspherical surface data

14th surface

K = 0.000, A2 = 0.0000E+00, A4 = −9.19823e−05, A6 = −8.80923e−07,

A8 = 4.39702e−08, A10 = −1.24247e−09

16th surface

K = 0.000, A2 = 0.0000E+00, A4 = −8.77784e−05, A6 = −1.01116e−06,

A8 = 5.64180e−08, A10 = −2.23368e−09, A12 = 3.59187e−11

22nd surface

K = 0.000, A2 = 0.0000E+00, A4 = −2.17277e−04, A6 = 5.36299e−06,

A8 = −5.28517e−07, A10 = 1.10330e−08, A12 = −1.37250e−10

23rd surface

K = 0.000, A2 = 0.0000E+00, A4 = −1.09771e−04, A6 = 5.91402e−06,

A8 = −5.09130e−07, A10 = 8.38419e−09, A12 = −4.36735e−11

28th surface

K = 0.000, A2 = 0.0000E+00, A4 = 8.15873e−04, A6 = 4.82675e−06,

A8 = −2.20386e−06, A10 = 4.10510e−08

29th surface

K = 0.000, A2 = 0.0000E+00, A4=1.26016e−03, A6 = 1.60282e−05,

A8 = −3.90922e−06, A10 = 7.56282e−08

Various data

Zoom ratio 17.94

Wide angle
Intermediate
Telephoto

Focal length
4.67
19.66
83.74

Fno.
2.63
4.04
4.18

Angle of field 2ω
78.21
20.19
4.79

Image height
3.6
3.6
3.6

Lens total length
82.81
97.59
113.67

BF
4.78
4.67
4.78

d6
1.00
17.41
37.50

d14
26.37
8.20
2.30

d23
1.29
10.69
15.74

d27
5.38
12.61
9.35

Entrance pupil position
18.42
57.36
285.45

Exit pupil position A
−30.74
−91.92
−127.85

Exit pupil position B
−35.52
−96.60
−132.63

Front side principal
22.48
73.02
316.32

point position

Back side principal
−3.62
−18.71
−82.69

point position

Single lens data

Lens
Initial surface
focal length

L1
1
−85.56

L2
2
341.89

L3
3
75.98

L4
5
72.16

L5
7
−9.83

L6
9
−11.00

L7
10
8.81E+04

L8
11
8.73

L9
13
−16.87

L10
16
16.37

L11
18
−21.39

L12
20
20.78

L13
22
−132.06

L14
24
33.38

L15
25
8.13E+06

L16
26
−57.61

L17
28
87.85

Zoom lens group data

Lens
Front side
Back side

Initial
Focal
structure
principal
principal

Unit
surface
length
length
point position
point position

1
1
56.6370
9.7109
2.3763
−3.8229

2
7
−7.2149
13.5160
1.7381
−7.3581

3
15
17.3869
15.6380
1.5315
−9.6365

4
24
73.7783
3.5080
−2.0985
−4.2304

5
28
87.8520
6.7160
0.7294
−4.0624

Lens
Wide angle
Intermediate
Telephoto

Unit
surface
Magnification
Magnification
Magnification

1
1
0.0000
0.0000
0.0000

2
7
−0.1683
−0.2728
−1.1349

3
15
−0.6611
−1.9566
−1.8888

4
24
0.7863
0.6898
0.7324

5
28
0.9418
0.9430
0.9418

Example 3

Unit mm

Surface data

effective

Surface no.
r
d
nd
νd
radius

Object plane
∞
∞

1
63.000
1.80
1.84666
23.78
17.50

2
32.204
1.20
1.63387
23.38
15.68

3
40.265
4.14
1.49700
81.54
15.55

4
27463.875
0.10

15.50

5
37.567
3.28
1.65160
58.55
14.24

6
200.415
Variable

14.00

7
74.158
1.10
1.88300
40.76
9.19

8
7.718
4.79

6.50

9
−46.254
0.80
1.88300
40.76
6.40

10
12.396
0.01
1.51400
42.83
6.39

11
12.396
4.87
1.78472
25.68
6.39

12
−12.684
1.15

6.43

13
−11.499
0.80
1.77250
49.60
5.67

14*
−109.547
Variable

5.70

15(stop)
∞
1.30

3.71

16*
10.743
4.93
1.58913
61.14
4.30

17
−78.051
0.10

4.32

18
28.041
2.77
1.84666
23.78
4.31

19
10.557
1.42

4.04

20
14.095
3.12
1.49700
81.54
4.31

21
−36.985
0.64

4.37

22*
55.696
1.36
1.53071
55.69
4.34

23*
41.000
Variable

4.33

24
19.130
2.68
1.49700
81.54
4.57

25
−119.090
0.01
1.51400
42.83
4.43

26
−119.090
0.82
1.80400
46.57
4.43

27
76.031
Variable

4.37

28*
10184.593
1.63
1.53071
55.69
4.00

29*
−6651.678
1.09

3.90

30
∞
4.00
1.51680
64.20
3.88

31
∞
0.97

3.82

Image plane
∞

Aspherical surface data

14th surface

K = 0.000, A2 = 0.0000E+00, A4 = −9.19823e−05, A6 = −8.80923e−07,

A8 = 6.14733e−08, A10 = −1.47363e−09

16th surface

K = 0.000, A2 = 0.0000E+00, A4 = −8.77784e−05, A6 = −1.01116e−06,

A8 = 5.64180e−08, A10 = −2.23368e−09, A12 = 3.59187e−11

22nd surface

K = 0.000, A2 = 0.0000E+00, A4 = −2.17277e−04, A6 = 5.36299e−06,

A8 = −5.28517e−07, A10 = 1.10330e−08, A12 = −1.37250e−10

23rd surface

K = 0.000, A2 = 0.0000E+00, A4 = −1.09771e−04, A6 = 5.91402e−06,

A8 = −5.09130e−07, A10 = 8.38419e−09, A12 = −4.36735e−11

28th surface

K = 0.000, A2 = 0.0000E+00, A4 = 8.15873e−04, A6 = 4.82675e−06,

A8 = −2.20386e−06, A10 = 4.10510e−08

29th surface

K = 0.000, A2 = 0.0000E+00, A4 = 1.26016e−03, A6 = 1.60282e−05,

A8 = −3.90922e−06, A10 = 7.56282e−08

Various data

Zoom ratio 17.67

Wide angle
Intermediate
Telephoto

Focal length
4.69
18.54
82.94

Fno.
2.80
4.35
4.48

Angle of field 2ω
77.51
21.36
4.83

Image heigh
3.6
3.6
3.6

Lens total length
82.66
96.73
113.93

BF
4.70
4.68
4.77

d6
1.00
15.92
37.92

d14
25.89
8.47
2.30

d23
1.33
16.32
18.37

d27
4.95
6.53
5.77

Entrance pupil position
18.85
52.10
283.92

Exit pupil position A
−23.33
−52.47
−56.89

Exit pupil position B
−28.02
−57.15
−61.66

Front side principal
22.76
64.62
255.30

point position

Back side principal
−3.72
−17.58
−81.89

point position

Single lens data

Lens
Initial surface
focal length

L1
1
−79.96

L2
2
239.90

L3
3
81.13

L4
5
70.39

L5
7
−9.83

L6
9
−11.00

L7
10
8.81E+04

L8
11
8.73

L9
13
−16.69

L10
16
16.37

L11
18
−21.56

L12
20
20.96

L13
22
−302.49

L14
24
33.38

L15
25
8.13E+06

L16
26
−57.61

L17
28
7582.04

Zoom lens group data

Front side
Back side

Lens
principal
principal

Initial

structure
point
point

Unit
surface
Focal length
length
position
position

1
1
57.5126
10.5191
2.6843
−3.9664

2
7
−7.1497
13.5160
1.7695
−7.2924

3
15
16.7976
15.6380
2.1778
−9.3324

4
24
73.7783
3.5080
−2.0985
−4.2304

5
28
7582.0431
6.7160
0.6430
−4.1461

Lens
Wide angle
Intermediate
Telephoto

Unit
surface
Magnification
Magnification
Magnification

1
1
0.0000
0.0000
0.0000

2
7
−0.1639
−0.2491
−1.0654

3
15
−0.6249
−1.6678
−1.7247

4
24
0.7975
0.7764
0.7854

5
28
0.9993
0.9993
0.9993

Example 4

Unit mm

Surface data

effective

Surface no.
r
d
nd
νd
radius

Object plane
∞
∞

1
62.850
1.80
1.84666
23.78
17.50

2
32.458
0.96
1.63387
23.38
15.81

3
39.959
4.46
1.49700
81.54
15.76

4
64797.253
0.10

15.50

5
36.389
3.26
1.65160
58.55
14.24

6
168.319
Variable

14.00

7
79.899
1.10
1.88300
40.76
9.21

8
8.096
4.79

6.60

9
−46.254
0.80
1.88300
40.76
6.42

10
12.396
0.01
1.51400
42.83
6.32

11
12.396
4.87
1.78472
25.68
6.32

12
−12.684
1.15

6.32

13
−11.367
0.80
1.77250
49.60
5.34

14*
−74.335
Variable

5.30

15(stop)
∞
1.30

3.71

16*
10.473
4.93
1.58913
61.14
4.30

17
−77.941
0.10

4.30

18
28.041
2.77
1.84666
23.78
4.29

19
10.091
1.42

4.00

20
13.652
3.12
1.49700
81.54
4.28

21
−36.985
0.64

4.34

22*
42.769
1.36
1.53071
55.69
4.32

23*
30.853
Variable

4.27

24
19.130
2.68
1.49700
81.54
4.50

25
−119.090
0.01
1.51400
42.83
4.37

26
−119.090
0.82
1.80400
46.57
4.37

27
76.031
Variable

4.32

28*
49643.204
1.63
1.53071
55.69
3.97

29*
−13944.453
1.09

3.88

30
∞
4.00
1.51680
64.20
3.86

31
∞
Variable

3.81

Image plane
∞

Aspherical surface data

14th surface

K = 0.000, A2 = 0.0000E+00, A4 = −9.19823e−05, A6 = 9.42847e−07,

A8 = −3.71864e−08, A10 = 9.09734e−11

16th surface

K = 0.000, A2 = 0.0000E+00, A4 = −8.77784e−05, A6 = −1.52073e−06,

A8 = 1.18883e−07, A10 = −6.93748e−09, A12 = 1.46452e−10

22nd surface

K = 0.000, A2 = 0.0000E+00, A4 = −3.13848e−04, A6 = 8.15347e−06,

A8 = −8.59408e−08, A10 = −1.12593e−08, A12 = 5.16580e−10

23rd surface

K = 0.000, A2 = 0.0000E+00, A4 = −2.06308e−04, A6 = 8.95087e−06,

A8 = −7.33310e−08, A10 = −1.52174e−08, A12 = 7.32559e−10

28th surface

K = 0.000, A2 = 0.0000E+00, A4 = 8.15873e−04, A6 = 4.82675e−06,

A8 = −3.85528e−06, A10 = 1.27474e−07

29th surface

K = 0.000, A2 = 0.0000E+00, A4 = 1.26016e−03, A6 = 1.60282e−05,

A8 = −5.99523e−06, A10 = 1.80459e−07

Various data

Zoom ratio 17.43

Wide angle
Intermediate
Telephoto

Focal length
4.78
19.52
83.30

Fno.
2.79
3.95
4.02

Angle of field 2ω
76.54
20.31
4.82

Image heigh
3.6
3.6
3.6

Lens total length
84.07
96.08
108.53

BF
4.70
4.69
4.77

d6
1.00
19.57
38.43

d14
27.80
9.25
2.30

d23
0.83
8.81
13.76

d27
4.87
8.89
4.41

Entrance pupil position
19.51
67.92
312.80

Exit pupil position A
−22.11
−38.51
−43.63

Exit pupil position B
−26.81
−43.20
−48.39

Front side principal
23.43
78.62
252.71

point position

Back side principal
−3.80
−18.56
−82.26

point position

Single lens data

Lens
Initial surface
focal length

L1
1
−81.49

L2
2
259.86

L3
3
80.45

L4
5
70.56

L5
7
−10.28

L6
9
−11.00

L7
10
8.81E+04

L8
11
8.73

L9
13
−17.47

L10
16
16.00

L11
18
−20.03

L12
20
20.48

L13
22
−217.26

L14
24
33.38

L15
25
8.13E+06

L16
26
−57.61

L17
28
2.05E+04

Zoom lens group data

Front side
Back side

Lens
principal
principal

Initial

structure
point
point

Unit
surface
Focal length
length
position
position

1
1
57.3912
10.5821
2.6900
−4.0128

2
7
−7.7120
13.5160
1.6628
−7.5497

3
15
16.9982
15.6380
1.7886
−9.5387

4
24
73.7783
3.5080
−2.0985
−4.2304

5
28
2.05E+04
6.7160
0.8298
−3.9592

Lens
Wide angle
Intermediate
Telephoto

Unit
surface
Magnification
Magnification
Magnification

1
1
0.0000
0.0000
0.0000

2
7
−0.1793
−0.3156
−1.3830

3
15
−0.5815
−1.4483
−1.3058

4
24
0.7985
0.7442
0.8039

5
28
0.9998
0.9998
0.9998

Example 5

Unit mm

Surface data

effective

Surface no.
r
d
nd
νd
radius

Object plane
∞
∞

1
64.000
1.36
1.84666
23.78
17.50

2
31.380
1.19
1.67000
20.00
15.79

3
39.271
4.40
1.49700
81.54
15.69

4
48375.329
0.10

15.50

5
35.333
3.51
1.64000
60.08
14.34

6
157.375
Variable

14.00

7
55.064
1.10
1.88300
40.76
9.08

8
7.466
4.79

6.40

9
−46.254
0.80
1.88300
40.76
6.32

10
12.396
0.01
1.51400
42.83
6.34

11
12.396
4.87
1.78472
25.68
6.34

12
−12.684
1.15

6.39

13
−11.499
0.80
1.77250
49.60
5.71

14*
−133.565
Variable

5.77

15(stop)
∞
1.30

3.94

16*
10.743
4.93
1.58913
61.14
4.60

17
−78.051
0.10

4.61

18
28.041
2.77
1.84666
23.78
4.59

19
10.632
1.42

4.28

20
14.230
3.12
1.49700
81.54
4.55

21
−36.985
0.64

4.59

22*
66.332
1.36
1.53071
55.69
4.56

23*
34.607
Variable

4.57

24
19.130
2.68
1.49700
81.54
4.83

25
−119.090
0.01
1.51400
42.83
4.70

26
−119.090
0.82
1.80400
46.57
4.69

27
76.031
Variable

4.64

28*
147.374
1.63
1.53071
55.69
4.16

29*
−67.939
1.09

4.07

30
∞
4.00
1.51680
64.20
4.01

31
∞
1.03

3.84

Image plane
∞

Aspherical surface data

14th surface

K = 0.000, A2 = 0.0000E+00, A4 = −9.19823e−05, A6 = −8.80923e−07,

A8 = 4.39702e−08, A10 = −1.24247e−09

16th surface

K = 0.000, A2 = 0.0000E+00, A4 = −8.77784e−05, A6 = −1.01116e−06,

A8 = 5.64180e−08, A10 = −2.23368e−09, A12 = 3.59187e−11

22nd surface

K = 0.000, A2 = 0.0000E+00, A4 = −2.17277e−04, A6 = 5.36299e−06,

A8 = −5.28517e−07, A10 = 1.10330e−08, A12 = −1.37250e−10

23rd surface

K = 0.000, A2 = 0.0000E+00, A4 = −1.09771e−04, A6 = 5.91402e−06,

A8 = −5.09130e−07, A10 = 8.38419e−09, A12 = −4.36735e−11

28th surface

K = 0.000, A2 = 0.0000E+00, A4 = 8.15873e−04, A6 = 4.82675e−06,

A8 = −2.20386e−06, A10 = 4.10510e−08

29th surface

K = 0.000, A2 = 0.0000E+00, A4 = 1.26016e−03, A6 = 1.60282e−05,

A8 = −3.90922e−06, A10 = 7.56282e−08

Various data

Zoom ratio 19.45

Wide angle
Intermediate
Telephoto

Focal length
4.77
20.74
92.76

Fno.
2.65
3.81
3.96

Angle of field 2ω
76.04
19.08
4.32

Image height
3.6
3.6
3.6

Lens total length
82.79
99.75
114.37

BF
4.76
4.68
4.76

d6
1.00
21.51
39.90

d14
25.22
8.53
2.30

d23
1.28
6.01
14.35

d27
5.70
14.17
8.22

Entrance pupil position
18.91
75.26
351.00

Exit pupil position A
−31.34
−68.42
−105.46

Exit pupil position B
−36.10
−73.10
−110.22

Front side principal
23.05
90.11
365.70

Back side principal
−3.74
−19.79
−91.73

Single lens data

Lens
Initial surface
focal length

L1
1
−74.13

L2
2
219.82

L3
3
79.08

L4
5
70.40

L5
7
−9.89

L6
9
−11.00

L7
10
8.81E+04

L8
11
8.73

L9
13
−16.33

L10
16
16.37

L11
18
−21.82

L12
20
21.10

L13
22
−138.40

L14
24
33.38

L15
25
8.13E+06

L16
26
−57.61

L17
28
87.85

Zoom lens group data

Lens
Front side
Back side

Initial

structure
principal
principal

Unit
surface
Focal length
length
point
point

1
1
58.2076
10.5527
2.6117
−4.0781

2
7
−7.0581
13.5160
1.8626
−7.1411

3
15
17.2879
15.6380
1.5661
−9.6119

4
24
73.7783
3.5080
−2.0985
−4.2304

5
28
87.8520
6.7160
0.7294
−4.0624

Lens
Wide angle
Intermediate
Telephoto

Unit
surface
Magnification
Magnification
Magnification

1
1
0.0000
0.0000
0.0000

2
7
−0.1597
−0.2978
−1.3283

3
15
−0.6965
−1.8984
−1.7028

4
24
0.7822
0.6685
0.7480

5
28
0.9420
0.9429
0.9420

Example 6

Unit mm

Surface data

effective

Surface no.
r
d
nd
νd
radius

Object plane
∞
∞

1
69.000
1.35
1.80810
22.76
17.50

2
31.176
1.25
1.70000
17.00
15.72

3
39.287
4.19
1.49700
81.54
15.59

4
52816.323
0.10

15.50

5
36.779
3.51
1.63246
63.76
15.21

6
159.280
Variable

15.00

7
55.190
1.10
1.88300
40.76
8.97

8
7.565
4.79

6.40

9
−46.254
0.80
1.88300
40.76
6.30

10
12.396
0.01
1.51400
42.83
6.30

11
12.396
4.87
1.78472
25.68
6.31

12
−12.684
1.15

6.36

13
−11.499
0.80
1.77250
49.60
5.65

14*
−163.454
Variable

5.70

15(stop)
∞
1.30

3.94

16*
10.743
4.93
1.58913
61.14
4.60

17
−78.051
0.10

4.61

18
28.041
2.77
1.84666
23.78
4.59

19
10.632
1.42

4.28

20
14.230
3.12
1.49700
81.54
4.55

21
−36.985
0.64

4.59

22*
64.763
1.36
1.53071
55.69
4.57

23*
34.607
Variable

4.57

24
19.130
2.68
1.49700
81.54
4.85

25
−119.090
0.01
1.51400
42.83
4.72

26
−119.090
0.82
1.80400
46.57
4.72

27
76.031
Variable

4.67

28*
147.374
1.63
1.53071
55.69
4.16

29*
−67.939
1.09

4.07

30
∞
4.00
1.51680
64.20
4.01

31
∞
1.06

3.85

Image plane
∞

Aspherical surface data

14th surface

K = 0.000, A2 = 0.0000E+00, A4 = −9.19823e−05, A6 = −8.80923e−07,

A8 = 4.39702e−08, A10 = −1.24247e−09

16th surface

K = 0.000, A2 = 0.0000E+00, A4 = −8.77784e−05, A6 = −1.01116e−06,

A8 = 5.64180e−08, A10 = −2.23368e−09, A12 = 3.59187e−11

22nd surface

K = 0.000, A2 = 0.0000E+00, A4 = −2.17277e−04, A6 = 5.36299e−06,

A8 = −5.28517e−07, A10 = 1.10330e−08, A12 = −1.37250e−10

23rd surface

K = 0.000, A2 = 0.0000E+00, A4 = −1.09771e−04, A6 = 5.91402e−06,

A8 = −5.09130e−07, A10 = 8.38419e−09, A12 = −4.36735e−11

28th surface

K = 0.000, A2 = 0.0000E+00, A4 = 8.15873e−04, A6 = 4.82675e−06,

A8 = −2.20386e−06, A10 = 4.10510e−08

29th surface

K = 0.000, A2 = 0.0000E+00, A4 = 1.26016e−03, A6 = 1.60282e−05,

A8 = −3.90922e−06, A10 = 7.56282e−08

Various data

Zoom ratio 19.30

Wide angle
Intermediate
Telephoto

Focal length
4.77
20.88
92.05

Fno.
2.66
4.01
3.84

Angle of field 2ω
76.38
19.00
4.36

Image height
3.6
3.6
3.6

Lens total length
82.40
102.94
115.75

BF
4.78
4.75
4.82

d6
1.00
21.82
42.81

d14
24.85
8.49
2.30

d23
1.28
10.67
9.38

d27
5.80
12.51
11.73

Entrance pupil position
18.66
72.34
378.60

Exit pupil position A
−31.58
−91.68
−79.49

Exit pupil position B
−36.37
−96.43
−84.31

Front side principal
22.81
88.70
370.15

point position

Back side principal
−3.71
−19.86
−90.96

point position

Single lens data

Lens
Initial surface
focal length

L1
1
−71.52

L2
2
202.83

L3
3
79.10

L4
5
74.78

L5
7
−10.04

L6
9
−11.00

L7
10
8.81E+04

L8
11
8.73

L9
13
−16.05

L10
16
16.37

L11
18
−21.82

L12
20
21.10

L13
22
−142.27

L14
24
33.38

L15
25
8.13E+06

L16
26
−57.61

L17
28
87.85

Zoom lens group data

Front side
Back side

Lens
principal
principal

Initial

structure
point
point

Unit
surface
Focal length
length
position
position

1
1
61.5289
10.4082
2.4688
−4.1231

2
7
−7.0390
13.5160
1.9312
−7.0219

3
15
17.2585
15.6380
1.5961
−9.5971

4
24
73.7783
3.5080
−2.0985
−4.2304

5
28
87.8520
6.7160
0.7294
−4.0624

Lens
Wide angle
Intermediate
Telephoto

Unit
surface
Magnification
Magnification
Magnification

1
1
0.0000
0.0000
0.0000

2
7
−0.1484
−0.2645
−1.2521

3
15
−0.7105
−1.9732
−1.8144

4
24
0.7806
0.6900
0.6995

5
28
0.9417
0.9422
0.9414

Example 7

Unit mm

Surface data

effective

Surface no.
r
d
nd
νd
radius

Object plane
∞
∞

1
69.500
1.25
1.80810
22.76
17.50

2
30.782
1.24
1.70000
17.00
15.72

3
39.414
4.22
1.49700
81.54
15.65

4
54830.052
0.10

15.50

5
36.565
3.57
1.63246
63.76
15.21

6
160.922
Variable

15.00

7
53.792
1.10
1.88300
40.76
9.09

8
7.556
4.79

6.45

9
−46.254
0.80
1.88300
40.76
6.36

10
12.396
0.01
1.51400
42.83
6.37

11
12.396
4.87
1.78472
25.68
6.37

12
−12.684
1.15

6.42

13
−11.499
0.80
1.77250
49.60
5.71

14*
−163.375
Variable

5.76

15(stop)
∞
1.30

3.94

16*
10.743
4.93
1.58913
61.14
4.60

17
−78.051
0.10

4.61

18
28.041
2.77
1.84666
23.78
4.59

19
10.632
1.42

4.28

20
14.230
3.12
1.49700
81.54
4.55

21
−36.985
0.64

4.60

22*
65.138
1.36
1.53071
55.69
4.57

23*
34.607
Variable

4.57

24
19.130
2.68
1.49700
81.54
4.84

25
−119.090
0.01
1.51400
42.83
4.71

26
−119.090
0.82
1.80400
46.57
4.71

27
76.031
Variable

4.66

28*
147.374
1.63
1.53071
55.69
4.16

29*
−67.939
1.09

4.07

30
∞
4.00
1.51680
64.20
4.01

31
∞
1.06

3.84

Image plane
∞

Aspherical surface data

14th surface

K = 0.000, A2 = 0.0000E+00, A4 = −9.19823e−05, A6 = −8.80923e−07,

A8 = 4.39702e−08, A10 = −1.24247e−09

16th surface

K = 0.000, A2 = 0.0000E+00, A4 = −8.77784e−05, A6 = −1.01116e−06,

A8 = 5.64180e−08, A10 = −2.23368e−09, A12 = 3.59187e−11

22nd surface

K = 0.000, A2 = 0.0000E+00, A4 = −2.17277e−04, A6 = 5.36299e−06,

A8 = −5.28517e−07, A10 = 1.10330e−08, A12 = −1.37250e−10

23rd surface

K = 0.000, A2 = 0.0000E+00, A4 = −1.09771e−04, A6 = 5.91402e−06,

A8 = −5.09130e−07, A10 = 8.38419e−09, A12 = −4.36735e−11

28th surface

K = 0.000, A2 = 0.0000E+00, A4 = 8.15873e−04, A6 = 4.82675e−06,

A8 = −2.20386e−06, A10 = 4.10510e−08

29th surface

K = 0.000, A2 = 0.0000E+00, A4 = 1.26016e−03, A6 = 1.60282e−05,

A8 = −3.90922e−06, A10 = 7.56282e−08

Various data

Zoom ratio 19.35

Wide angle
Intermediate
Telephoto

Focal length
4.73
19.71
91.55

Fno.
2.65
3.86
3.92

Angle of field 2ω
76.67
20.09
4.39

Image height
3.6
3.6
3.6

Lens total length
82.59
101.51
116.35

BF
4.78
4.67
4.64

d6
1.00
21.88
42.48

d14
25.16
9.09
2.30

d23
1.29
8.78
10.30

d27
5.70
12.42
11.96

Entrance pupil position
18.68
72.96
365.56

Exit pupil position A
−31.42
−78.06
−86.62

Exit pupil position B
−36.20
−82.73
−91.26

Front side principal
22.79
87.98
365.26

point position

Back side principal
−3.68
−18.76
−90.64

point position

Single lens data

Lens
Initial surface
focal length

L1
1
−69.38

L2
2
189.59

L3
3
79.36

L4
5
73.99

L5
7
−10.07

L6
9
−11.00

L7
10
8.81E+04

L8
11
8.73

L9
13
−16.05

L10
16
16.37

L11
18
−21.82

L12
20
21.10

L13
22
−141.31

L14
24
33.38

L15
25
8.13E+06

L16
26
−57.61

L17
28
87.85

Zoom lens group data

Front side
Back side

Lens
principal
principal

Initial

structure
point
point

Unit
surface
Focal length
length
position
position

1
1
61.3953
10.3740
2.4935
−4.0821

2
7
−7.0582
13.5160
1.9369
−7.0177

3
15
17.2656
15.6380
1.5888
−9.6007

4
24
73.7783
3.5080
−2.0985
−4.2304

5
28
87.8520
6.7160
0.7294
−4.0624

Lens
Wide angle
Intermediate
Telephoto

Unit
surface
Magnification
Magnification
Magnification

1
1
0.0000
0.0000
0.0000

2
7
−0.1492
−0.2670
−1.2089

3
15
−0.7016
−1.8410
−1.8702

4
24
0.7818
0.6924
0.6991

5
28
0.9417
0.9430
0.9434

Example 8

Unit mm

Surface data

effective

Surface no.
r
d
nd
νd
radius

Object plane
∞
∞

1
63.000
1.41
1.90680
21.15
17.50

2
30.257
1.53
1.70000
17.00
15.74

3
40.127
4.38
1.48749
70.23
15.68

4
369345.602
0.10

15.50

5
34.447
3.84
1.63246
63.76
15.21

6
184.902
Variable

15.00

7
59.337
1.10
1.88300
40.76
8.85

8
7.463
4.79

6.29

9
−46.254
0.80
1.88300
40.76
6.18

10
12.396
0.01
1.51400
42.83
6.18

11
12.396
4.87
1.78472
25.68
6.18

12
−12.684
1.15

6.23

13
−11.499
0.80
1.77250
49.60
5.55

14*
−160.733
Variable

5.60

15(stop)
∞
1.30

3.94

16*
10.743
4.93
1.58913
61.14
4.60

17
−78.051
0.10

4.61

18
28.041
2.77
1.84666
23.78
4.59

19
10.632
1.42

4.29

20
14.230
3.12
1.49700
81.54
4.56

21
−36.985
0.64

4.61

22*
67.579
1.36
1.53071
55.69
4.58

23*
34.607
Variable

4.58

24
19.130
2.68
1.49700
81.54
4.85

25
−119.090
0.01
1.51400
42.83
4.73

26
−119.090
0.82
1.80400
46.57
4.73

27
76.031
Variable

4.68

28*
147.374
1.63
1.53071
55.69
4.14

29*
−67.939
1.09

4.06

30
∞
4.00
1.51680
64.20
4.00

31
∞
1.03

3.84

Image plane
∞

Aspherical surface data

14th surface

κ = 0.000, A2 = 0.0000E+00, A4 = −9.19823e−05, A6 = −8.80923e−07,

A8 = 4.39702e−08, A10 = −1.24247e−09

16th surface

κ = 0.000, A2 = 0.0000E+00, A4 = −8.77784e−05, A6 = −1.01116e−06,

A8 = 5.64180e−08, A10 = −2.23368e−09, A12 = 3.59187e−11

22nd surface

κ = 0.000, A2 = 0.0000E+00, A4 = −2.17277e−04, A6 = 5.36299e−06,

A8 = −5.28517e−07, A10 = 1.10330e−08, A12 = −1.37250e−10

23rd surface

κ = 0.000, A2 = 0.0000E+00, A4 = −1.09771e−04, A6 = 5.91402e−06,

A8 = −5.09130e−07, A10 = 8.38419e−09, A12 = −4.36735e−11

28th surface

κ = 0.000, A2 = 0.0000E+00, A4 = 8.15873e−04, A6 = 4.82675e−06,

A8 = −2.20386e−06, A10 = 4.10510e−08

29th surface

κ = 0.000, A2 = 0.0000E+00, A4 = 1.26016e−03, A6 = 1.60282e−05,

A8 = −3.90922e−06, A10 = 7.56282e−08

Various data

Zoom ratio 19.17

Wide angle
Intermediate
Telephoto

Focal length
4.82
19.29
92.34

Fno.
2.68
3.82
3.99

Angle of field 2ω
75.70
20.49
4.35

Image height
3.6
3.6
3.6

Lens total length
83.26
100.70
115.42

BF
4.76
4.72
4.76

d6
1.00
20.68
39.81

d14
24.65
9.34
2.30

d23
1.33
7.43
11.68

d27
5.98
12.98
11.32

Entrance pupil position
19.27
72.20
350.55

Exit pupil position A
−31.94
−71.93
−94.43

Exit pupil position B
−36.70
−76.65
−99.19

Front side principal
23.45
86.64
356.93

point position

Back side principal
−3.79
−18.29
−91.30

point position

Single lens data

Lens
Initial surface
focal length

L1
1
−65.54

L2
2
165.20

L3
3
82.32

L4
5
66.28

L5
7
−9.76

L6
9
−11.00

L7
10
8.81E+04

L8
11
8.73

L9
13
−16.07

L10
16
16.37

L11
18
−21.82

L12
20
21.10

L13
22
−135.59

L14
24
33.38

L15
25
8.13E+06

L16
26
−57.61

L17
28
87.85

Zoom lens group data

Front side
Back side

Lens
principal
principal

Initial

structure
point
point

Unit
surface
Focal length
length
position
position

1
1
58.2790
11.2600
2.8807
−4.2397

2
7
−6.8875
13.5160
1.8912
−7.0591

3
15
17.3103
15.6380
1.5431
−9.6233

4
24
73.7783
3.5080
−2.0985
−4.2304

5
28
87.8520
6.7160
0.7294
−4.0624

Lens
Wide angle
Intermediate
Telephoto

Unit
surface
Magnification
Magnification
Magnification

1
1
0.0000
0.0000
0.0000

2
7
−0.1556
−0.2802
−1.2645

3
15
−0.7243
−1.8324
−1.8839

4
24
0.7785
0.6841
0.7060

5
28
0.9420
0.9424
0.9420

Example 9

Unit mm

Surface data

effective

Surface no.
r
d
nd
νd
radius

Object plane
∞
∞

1
62.800
2.48
1.92286
18.90
18.30

2
30.887
1.51
1.73000
15.00
17.25

3
39.169
5.31
1.51823
58.90
17.14

4
−627.430
0.10

15.50

5
32.048
3.93
1.64000
60.08
15.19

6
122.361
Variable

15.00

7
86.349
1.10
1.88300
40.76
8.93

8
7.578
4.79

6.23

9
−46.254
0.80
1.88300
40.76
5.96

10
12.396
0.01
1.51400
42.83
5.86

11
12.396
4.87
1.78472
25.68
5.86

12
−12.684
1.15

5.90

13
−11.499
0.80
1.77250
49.60
5.29

14*
−223.647
Variable

5.32

15(stop)
∞
1.30

3.94

16*
10.743
4.93
1.58913
61.14
4.60

17
−78.051
0.10

4.61

18
28.041
2.77
1.84666
23.78
4.59

19
10.632
1.42

4.28

20
14.230
3.12
1.49700
81.54
4.55

21
−36.985
0.64

4.60

22*
75.399
1.36
1.53071
55.69
4.57

23*
34.607
Variable

4.58

24
19.130
2.68
1.49700
81.54
4.80

25
−119.090
0.01
1.51400
42.83
4.68

26
−119.090
0.82
1.80400
46.57
4.68

27
76.031
Variable

4.64

28*
147.374
1.63
1.53071
55.69
4.14

29*
−67.939
1.09

4.06

30
∞
4.00
1.51680
64.20
4.00

31
∞
0.97

3.84

Image plane
∞

Aspherical surface data

14th surface

κ = 0.000, A2 = 0.0000E+00, A4 = −9.19823e−05, A6 = −8.80923e−07,

A8 = 4.39702e−08, A10 = −1.24247e−09

16th surface

κ = 0.000, A2 = 0.0000E+00, A4 = −8.77784e−05, A6 = −1.01116e−06,

A8 = 5.64180e−08, A10 = −2.23368e−09, A12 = 3.59187e−11

22nd surface

κ = 0.000, A2 = 0.0000E+00, A4 = −2.17277e−04, A6 = 5.36299e−06,

A8 = −5.28517e−07, A10 = 1.10330e−08, A12 = −1.37250e−10

23rd surface

κ = 0.000, A2 = 0.0000E+00, A4 = −1.09771e−04, A6 = 5.91402e−06,

A8 = −5.09130e−07, A10 = 8.38419e−09, A12 = −4.36735e−11

28th surface

κ = 0.000, A2 = 0.0000E+00, A4 = 8.15873e−04, A6 = 4.82675e−06,

A8 = −2.20386e−06, A10 = 4.10510e−08

29th surface

κ = 0.000, A2 = 0.0000E+00, A4 = 1.26016e−03, A6 = 1.60282e−05,

A8 = −3.90922e−06, A10 = 7.56282e−08

Various data

Zoom ratio 19.87

Wide angle
Intermediate
Telephoto

Focal length
4.68
19.29
92.93

Fno.
2.69
3.82
3.97

Angle of field 2ω
77.36
20.54
4.33

Image height
3.6
3.6
3.6

Lens total length
86.66
101.23
112.35

BF
4.70
4.69
4.70

d6
1.00
18.85
35.56

d14
26.09
9.99
2.30

d23
1.29
6.60
8.83

d27
5.95
13.47
13.35

Entrance pupil position
21.18
73.90
337.46

Exit pupil position A
−31.58
−68.65
−80.95

Exit pupil position B
−36.28
−73.34
−85.64

Front side principal
25.25
88.12
329.55

point position

Back side principal
−3.71
−18.32
−91.96

point position

Single lens data

Lens
Initial surface
focal length

L1
1
−68.41

L2
2
185.77

L3
3
71.34

L4
5
66.71

L5
7
−9.47

L6
9
−11.00

L7
10
8.81E+04

L8
11
8.73

L9
13
−15.72

L10
16
16.37

L11
18
−21.82

L12
20
21.10

L13
22
−121.94

L14
24
33.38

L15
25
8.13E+06

L16
26
−57.61

L17
28
87.85

Zoom lens group data

Front side
Back side

Lens
principal
principal

Initial

structure
point
point

Unit
surface
Focal length
length
position
position

1
1
53.8598
13.3306
3.2158
−5.0784

2
7
−6.5877
13.5160
1.8976
−6.9725

3
15
17.4353
15.6380
1.4155
−9.6864

4
24
73.7783
3.5080
−2.0985
−4.2304

5
28
87.8520
6.7160
0.7294
−4.0624

Lens
Wide angle
Intermediate
Telephoto

Unit
surface
Magnification
Magnification
Magnification

1
1
0.0000
0.0000
0.0000

2
7
−0.1676
−0.3071
−1.3903

3
15
−0.7048
−1.8250
−1.9374

4
24
0.7797
0.6779
0.6795

5
28
0.9427
0.9427
0.9427

Example 10

Unit mm

Surface data

effective

Surface no.
r
d
nd
νd
radius

Object plane
∞
∞

1
65.000
1.24
1.90680
21.15
17.50

2
30.035
1.51
1.70010
17.01
15.79

3
40.312
4.21
1.49700
81.54
15.69

4
906535.175
0.10

15.50

5
34.058
3.95
1.64000
60.08
15.23

6
177.217
Variable

15.00

7
56.111
1.10
1.88300
40.76
9.02

8
7.464
4.79

6.37

9
−46.254
0.80
1.88300
40.76
6.28

10
12.396
0.01
1.51400
42.83
6.28

11
12.396
4.87
1.78472
25.68
6.28

12
−12.684
1.15

6.33

13
−11.499
0.80
1.77250
49.60
5.64

14*
−167.135
Variable

5.69

15(stop)
∞
1.30

3.94

16*
10.743
4.93
1.58913
61.14
4.60

17
−78.051
0.10

4.60

18
28.041
2.77
1.84666
23.78
4.58

19
10.632
1.42

4.27

20
14.230
3.12
1.49700
81.54
4.54

21
−36.985
0.64

4.59

22*
75.391
1.36
1.53071
55.69
4.56

23*
34.607
Variable

4.56

24
19.130
2.68
1.49700
81.54
4.82

25
−119.090
0.01
1.51400
42.83
4.70

26
−119.090
0.82
1.80400
46.57
4.70

27
76.031
Variable

4.65

28*
147.374
1.63
1.53071
55.69
4.14

29*
−67.939
1.09

4.05

30
∞
4.00
1.51680
64.20
3.99

31
∞
1.03

3.84

Image plane
∞

Aspherical surface data

14th surface

κ = 0.000, A2 = 0.0000E+00, A4 = −9.19823e−05, A6 = −8.80923e−07,

A8 = 4.39702e−08, A10 = −1.24247e−09

16th surface

κ = 0.000, A2 = 0.0000E+00, A4 = −8.77784e−05, A6 = −1.01116e−06,

A8 = 5.64180e−08, A10 = −2.23368e−09, A12 = 3.59187e−11

22nd surface

κ = 0.000, A2 = 0.0000E+00, A4 = −2.17277e−04, A6 = 5.36299e−06,

A8 = −5.28517e−07, A10 = 1.10330e−08, A12 = −1.37250e−10

23rd surface

κ = 0.000, A2 = 0.0000E+00, A4 = −1.09771e−04, A6 = 5.91402e−06,

A8 = −5.09130e−07, A10 = 8.38419e−09, A12 = −4.36735e−11

28th surface

κ = 0.000, A2 = 0.0000E+00, A4 = 8.15873e−04, A6 = 4.82675e−06,

A8 = −2.20386e−06, A10 = 4.10510e−08

29th surface

κ = 0.000, A2 = 0.0000E+00, A4 = 1.26016e−03, A6 = 1.60282e−05,

A8 = −3.90922e−06, A10 = 7.56282e−08

Various data

Zoom ratio 19.38

Wide angle
Intermediate
Telephoto

Focal length
4.77
19.30
92.38

Fno.
2.70
3.84
4.00

Angle of field 2ω
76.06
20.50
4.35

Image height
3.6
3.6
3.6

Lens total length
83.78
100.95
114.80

BF
4.76
4.70
4.76

d6
1.00
20.75
39.70

d14
25.44
9.73
2.30

d23
1.33
7.55
10.06

d27
5.95
12.92
12.68

Entrance pupil position
19.14
72.54
346.58

Exit pupil position A
−31.66
−71.85
−86.80

Exit pupil position B
−36.42
−76.55
−91.56

Front side principal
23.29
86.98
345.75

point position

Back side principal
−3.74
−18.32
−91.35

point position

Single lens data

Lens
Initial surface
focal length

L1
1
−62.63

L2
2
158.66

L3
3
81.11

L4
5
65.17

L5
7
−9.86

L6
9
−11.00

L7
10
8.81E+04

L8
11
8.73

L9
13
−16.02

L10
16
16.37

L11
18
−21.82

L12
20
21.10

L13
22
−121.95

L14
24
33.38

L15
25
8.13E+06

L16
26
−57.61

L17
28
87.85

Zoom lens group data

Front side
Back side

Lens
principal
principal

Initial

structure
point
point

Unit
surface
Focal length
length
position
position

1
1
58.1432
11.0180
2.7809
−4.1469

2
7
−6.9234
13.5160
1.9148
−7.0295

3
15
17.4352
15.6380
1.4156
−9.6863

4
24
73.7783
3.5080
−2.0985
−4.2304

5
28
87.8520
6.7160
0.7294
−4.0624

Lens
Wide angle
Intermediate
Telephoto

Unit
surface
Magnification
Magnification
Magnification

1
1
0.0000
0.0000
0.0000

2
7
−0.1568
−0.2837
−1.2677

3
15
−0.7128
−1.8119
−1.9351

4
24
0.7789
0.6852
0.6876

5
28
0.9420
0.9426
0.9420

Example 11

Unit mm

Surface data

effective

Surface no.
r
d
nd
νd
radius

Object plane
∞
∞

1
58.500
2.40
1.92286
20.88
18.00

2
31.247
1.49
1.70010
17.01
17.33

3
39.455
5.22
1.49700
81.54
17.22

4
−963.692
0.10

15.50

5
32.658
3.81
1.63246
63.76
15.19

6
123.526
Variable

15.00

7
80.785
1.10
1.88300
40.76
9.11

8
7.591
4.79

6.33

9
−46.254
0.80
1.88300
40.76
6.11

10
12.396
0.01
1.51400
42.83
5.97

11
12.396
4.87
1.78472
25.68
5.97

12
−12.684
1.15

5.93

13
−11.499
0.80
1.77250
49.60
5.29

14*
−235.968
Variable

5.32

15(stop)
∞
1.30

3.94

16*
10.743
4.93
1.58913
61.14
4.60

17
−78.051
0.10

4.60

18
28.041
2.77
1.84666
23.78
4.58

19
10.632
1.42

4.28

20
14.230
3.12
1.49700
81.54
4.55

21
−36.985
0.64

4.59

22*
75.823
1.36
1.53071
55.69
4.56

23*
34.607
Variable

4.57

24
19.130
2.68
1.49700
81.54
4.82

25
−119.090
0.01
1.51400
42.83
4.70

26
−119.090
0.82
1.80400
46.57
4.70

27
76.031
Variable

4.65

28*
147.374
1.63
1.53071
55.69
4.14

29*
−67.939
1.09

4.06

30
∞
4.00
1.51680
64.20
4.00

31
∞
1.01

3.84

Image plane
∞

Aspherical surface data

14th surface

κ = 0.000, A2 = 0.0000E+00, A4 = −9.19823e−05, A6 = −8.80923e−07,

A8 = 4.39702e−08, A10 = −1.24247e−09

16th surface

κ = 0.000, A2 = 0.0000E+00, A4 = −8.77784e−05, A6 = −1.01116e−06,

A8 = 5.64180e−08, A10 = −2.23368e−09, A12 = 3.59187e−11

22nd surface

κ = 0.000, A2 = 0.0000E+00, A4 = −2.17277e−04, A6 = 5.36299e−06,

A8 = −5.28517e−07, A10 = 1.10330e−08, A12 = −1.37250e−10

23rd surface

κ = 0.000, A2 = 0.0000E+00, A4 = −1.09771e−04, A6 = 5.91402e−06,

A8 = −5.09130e−07, A10 = 8.38419e−09, A12 = −4.36735e−11

28th surface

κ = 0.000, A2 = 0.0000E+00, A4 = 8.15873e−04, A6 = 4.82675e−06,

A8 = −2.20386e−06, A10 = 4.10510e−08

29th surface

κ = 0.000, A2 = 0.0000E+00, A4 = 1.26016e−03, A6 = 1.60282e−05,

A8 = −3.90922e−06, A10 = 7.56282e−08

Various data

Zoom ratio 19.83

Wide angle
Intermediate
Telephoto

Focal length
4.68
19.29
92.91

Fno.
2.69
3.81
4.06

Angle of field 2ω
77.24
20.54
4.33

Image height
3.6
3.6
3.6

Lens total length
86.39
101.63
113.69

BF
4.74
4.72
4.73

d6
1.00
19.45
36.13

d14
26.13
10.19
2.30

d23
1.31
6.96
9.11

d27
5.90
13.00
14.11

Entrance pupil position
21.11
75.92
333.28

Exit pupil position A
−31.52
−68.98
−85.70

Exit pupil position B
−36.26
−73.70
−90.43

Front side principal
25.19
90.16
330.73

point position

Back side principal
−3.67
−18.30
−91.91

point position

Single lens data

Lens
Initial surface
focal length

L1
1
−75.89

L2
2
199.64

L3
3
76.40

L4
5
69.07

L5
7
−9.56

L6
9
−11.00

L7
10
8.81E+04

L8
11
8.73

L9
13
−15.67

L10
16
16.37

L11
18
−21.82

L12
20
21.10

L13
22
−121.35

L14
24
33.38

L15
25
8.13E+06

L16
26
−57.61

L17
28
87.85

Zoom lens group data

Front side
Back side

Lens
principal
principal

Initial

structure
point
point

Unit
surface
Focal length
length
position
position

1
1
54.9139
13.0201
3.0049
−5.1808

2
7
−6.6219
13.5160
1.9195
−6.9448

3
15
17.4414
15.6380
1.4093
−9.6895

4
24
73.7783
3.5080
−2.0985
−4.2304

5
28
87.8520
6.7160
0.7294
−4.0624

Lens
Wide angle
Intermediate
Telephoto

Unit
surface
Magnification
Magnification
Magnification

1
1
0.0000
0.0000
0.0000

2
7
−0.1648
−0.3045
−1.3073

3
15
−0.7046
−1.7905
−2.0539

4
24
0.7799
0.6838
0.6687

5
28
0.9423
0.9424
0.9423

Example 12

Unit mm

Surface data

effective

Surface no.
r
d
nd
νd
radius

Object plane
∞
∞

1
51.000
2.82
1.92286
18.90
19.00

2
31.584
1.39
1.69952
16.99
18.35

3
37.866
6.13
1.48563
85.20
18.23

4
−590.327
0.10

15.50

5
32.508
3.44
1.63246
63.76
15.02

6
92.463
Variable

15.00

7
107.902
1.10
1.88300
40.76
9.32

8
7.686
4.79

6.42

9
−46.254
0.80
1.88300
40.76
6.21

10
12.396
0.01
1.51400
42.83
6.06

11
12.396
4.87
1.78472
25.68
6.06

12
−12.684
1.15

6.02

13
−11.499
0.80
1.77250
49.60
5.33

14*
−320.898
Variable

5.36

15(stop)
∞
1.30

3.94

16*
10.743
4.93
1.58913
61.14
4.60

17
−78.051
0.10

4.62

18
28.041
2.77
1.84666
23.78
4.60

19
10.632
1.42

4.29

20
14.230
3.12
1.49700
81.54
4.56

21
−36.985
0.64

4.61

22*
70.067
1.36
1.53071
55.69
4.58

23*
34.607
Variable

4.59

24
19.130
2.68
1.49700
81.54
4.83

25
−119.090
0.01
1.51400
42.83
4.71

26
−119.090
0.82
1.80400
46.57
4.71

27
76.031
Variable

4.66

28*
147.374
1.63
1.53071
55.69
4.15

29*
−67.939
1.09

4.07

30
∞
4.00
1.51680
64.20
4.01

31
∞
0.97

3.85

Image plane
∞

Aspherical surface data

14th surface

κ = 0.000, A2 = 0.0000E+00, A4 = −9.19823e−05, A6 = −8.80923e−07,

A8 = 4.39702e−08, A10 = −1.24247e−09

16th surface

κ = 0.000, A2 = 0.0000E+00, A4 = −8.77784e−05, A6 = −1.01116e−06,

A8 = 5.64180e−08, A10 = −2.23368e−09, A12 = 3.59187e−11

22nd surface

κ = 0.000, A2 = 0.0000E+00, A4 = −2.17277e−04, A6 = 5.36299e−06,

A8 = −5.28517e−07, A10 = 1.10330e−08, A12 = −1.37250e−10

23rd surface

κ = 0.000, A2 = 0.0000E+00, A4 = −1.09771e−04, A6 = 5.91402e−06,

A8 = −5.09130e−07, A10 = 8.38419e−09, A12 = −4.36735e−11

28th surface

κ = 0.000, A2 = 0.0000E+00, A4 = 8.15873e−04, A6 = 4.82675e−06,

A8 = −2.20386e−06, A10 = 4.10510e−08

29th surface

κ = 0.000, A2 = 0.0000E+00, A4 = 1.26016e−03, A6 = 1.60282e−05,

A8 = −3.90922e−06, A10 = 7.56282e−08

Various data

Zoom ratio 19.85

Wide angle
Intermediate
Telephoto

Focal length
4.68
19.29
92.90

Fno.
2.67
3.73
3.95

Angle of field 2ω
77.46
20.55
4.32

Image height
3.6
3.6
3.6

Lens total length
87.20
100.94
111.62

BF
4.70
4.69
4.69

d6
1.00
18.66
34.27

d14
26.21
10.26
2.30

d23
1.27
5.94
8.37

d27
5.85
13.22
13.81

Entrance pupil position
22.41
78.44
337.00

Exit pupil position A
−31.48
−64.89
−80.12

Exit pupil position B
−36.18
−69.59
−84.82

Front side principal
26.49
92.39
328.15

point position

Back side principal
−3.71
−18.32
−91.93

point position

Single lens data

Lens
Initial surface
focal length

L1
1
−96.64

L2
2
249.46

L3
3
73.51

L4
5
77.55

L5
7
−9.42

L6
9
−11.00

L7
10
8.81E+04

L8
11
8.73

L9
13
−15.46

L10
16
16.37

L11
18
−21.82

L12
20
21.10

L13
22
−130.59

L14
24
33.38

L15
25
8.13E+06

L16
26
−57.61

L17
28
87.85

Zoom lens group data

Front side
Back side

Lens
principal
principal

Initial

structure
point
point

Unit
surface
Focal length
length
position
position

1
1
53.3270
13.8792
2.8120
−5.9948

2
7
−6.4665
13.5160
1.9289
−6.8863

3
15
17.3529
15.6380
1.4997
−9.6448

4
24
73.7783
3.5080
−2.0985
−4.2304

5
28
87.8520
6.7160
0.7294
−4.0624

Lens
Wide angle
Intermediate
Telephoto

Unit
surface
Magnification
Magnification
Magnification

1
1
0.0000
0.0000
0.0000

2
7
−0.1705
−0.3188
−1.3855

3
15
−0.6992
−1.7663
−1.9811

4
24
0.7812
0.6813
0.6732

5
28
0.9427
0.9427
0.9427

Example 13

Unit mm

Surface data

effective

Surface no.
r
d
nd
νd
radius

Object plane
∞
∞

1
47.800
2.83
1.94595
17.98
19.00

2
31.497
1.26
1.69952
16.99
18.20

3
37.076
6.21
1.48563
85.20
18.08

4
−523.317
0.10

15.50

5
33.221
3.17
1.63246
63.76
14.96

6
82.844
Variable

15.00

7
121.292
1.10
1.88300
40.76
9.24

8
7.694
4.79

6.37

9
−46.254
0.80
1.88300
40.76
6.15

10
12.396
0.01
1.51400
42.83
6.00

11
12.396
4.87
1.78472
25.68
6.00

12
−12.684
1.15

5.95

13
−11.499
0.80
1.77250
49.60
5.30

14*
−300.876
Variable

5.33

15(stop)
∞
1.30

3.94

16*
10.743
4.93
1.58913
61.14
4.61

17
−78.051
0.10

4.63

18
28.041
2.77
1.84666
23.78
4.61

19
10.632
1.42

4.31

20
14.230
3.12
1.49700
81.54
4.59

21
−36.985
0.64

4.64

22*
64.157
1.36
1.53071
55.69
4.61

23*
34.607
Variable

4.62

24
19.130
2.68
1.49700
81.54
4.85

25
−119.090
0.01
1.51400
42.83
4.73

26
−119.090
0.82
1.80400
46.57
4.73

27
76.031
Variable

4.68

28*
147.374
1.63
1.53071
55.69
4.15

29*
−67.939
1.09

4.07

30
∞
4.00
1.51680
64.20
4.01

31
∞
0.97

3.85

Image plane
∞

Aspherical Surface data

14th surface

κ = 0.000, A2 = 0.0000E+00, A4 = −9.19823e−05, A6 = −8.80923e−07,

A8 = 4.39702e−08, A10 = −1.24247e−09

16th surface

κ = 0.000, A2 = 0.0000E+00, A4 = −8.77784e−05, A6 = −1.01116e−06,

A8 = 5.64180e−08, A10 = −2.23368e−09, A12 = 3.59187e−11

22nd surface

κ = 0.000, A2 = 0.0000E+00, A4 = −2.17277e−04, A6 = 5.36299e−06,

A8 = −5.28517e−07, A10 = 1.10330e−08, A12 = −1.37250e−10

23rd surface

κ = 0.000, A2 = 0.0000E+00, A4 = −1.09771e−04, A6 = 5.91402e−06,

A8 = −5.09130e−07, A10 = 8.38419e−09, A12 = −4.36735e−11

28th surface

κ = 0.000, A2 = 0.0000E+00, A4 = 8.15873e−04, A6 = 4.82675e−06,

A8 = −2.20386e−06, 10 = 4.10510e−08

29th surface

κ = 0.000, A2 = 0.0000E+00, A4 = 1.26016e−03, A6 = 1.60282e−05,

A8 = −3.90922e−06, A10 = 7.56282e−08

Various data

Zoom ratio 19.83

Wide angle
Intermediate
Telephoto

Focal length
4.68
19.28
92.89

Fno.
2.65
3.68
3.93

Angle of field 2ω
77.87
20.54
4.32

Image height
3.6
3.6
3.6

Lens total length
86.39
100.35
111.73

BF
4.70
4.69
4.70

d6
1.00
18.99
34.70

d14
25.76
10.02
2.30

d23
1.27
5.45
9.04

d27
5.81
13.34
13.14

Entrance pupil position
22.22
79.73
345.16

Exit pupil position A
−31.59
−63.34
−82.46

Exit pupil position B
−36.29
−68.03
−87.16

Front side principal
26.30
93.55
339.05

point position

Back side principal
−3.71
−18.31
−91.92

point position

Single lens data

Lens
Initial surface
focal length

L1
1
−106.61

L2
2
273.84

L3
3
71.55

L4
5
85.57

L5
7
−9.35

L6
9
−11.00

L7
10
8.81E+04

L8
11
8.73

L9
13
−15.50

L10
16
16.37

L11
18
−21.82

L12
20
21.10

L13
22
−143.87

L14
24
33.38

L15
25
8.13E+06

L16
26
−57.61

L17
28
87.85

Zoom lens group data

Front side
Back side

Lens
principal
principal

Initial

structure
point
point

Unit
surface
Focal length
length
position
position

1
1
53.9659
13.5660
2.3608
−6.2293

2
7
−6.4373
13.5160
1.9084
−6.9113

3
15
17.2468
15.6380
1.6081
−9.5911

4
24
73.7783
3.5080
−2.0985
−4.2304

5
28
87.8520
6.7160
0.7294
−4.0624

Lens
Wide angle
Intermediate
Telephoto

Unit
surface
Magnification
Magnification
Magnification

1
1
0.0000
0.0000
0.0000

2
7
−0.1677
−0.3155
−1.3719

3
15
−0.7025
−1.7675
−1.9507

4
24
0.7817
0.6796
0.6823

5
28
0.9427
0.9427
0.9427

Example 14

Unit mm

Surface data

effective

Surface no.
r
d
nd
νd
radius

Object plane
∞
∞

1
56.000
2.82
1.90680
21.15
18.20

2
30.840
1.49
1.63336
23.36
17.08

3
39.111
4.97
1.51633
64.14
16.97

4
434092.777
0.10

15.50

5
32.480
3.52
1.64000
60.08
14.28

6
130.730
Variable

14.00

7
86.549
1.10
1.88300
40.76
9.14

8
7.559
4.79

6.32

9
−46.254
0.80
1.88300
40.76
6.11

10
12.396
0.01
1.51400
42.83
5.98

11
12.396
4.87
1.78472
25.68
5.98

12
−12.684
1.15

5.94

13
−11.499
0.80
1.77250
49.60
5.27

14*
−204.595
Variable

5.30

15(stop)
∞
1.30

3.94

16*
10.743
4.93
1.58913
61.14
4.60

17
−78.051
0.10

4.61

18
28.041
2.77
1.84666
23.78
4.59

19
10.632
1.42

4.29

20
14.230
3.12
1.49700
81.54
4.56

21
−36.985
0.64

4.61

22*
69.022
1.36
1.53071
55.69
4.58

23*
34.607
Variable

4.59

24
19.130
2.68
1.49700
81.54
4.84

25
−119.090
0.01
1.51400
42.83
4.71

26
−119.090
0.82
1.80400
46.57
4.71

27
76.031
Variable

4.66

28*
147.374
1.63
1.53071
55.69
4.14

29*
−67.939
1.09

4.06

30
∞
4.00
1.51680
64.20
4.00

31
∞
0.98

3.84

Image plane
∞

Aspherical Surface data

14th surface

κ = 0.000, A2 = 0.0000E+00, A4 = −9.19823e−05, A6 = −8.80923e−07,

A8 = 4.39702e−08, A10 = −1.24247e−09

16th surface

κ = 0.000, A2 = 0.0000E+00, A4 = −8.77784e−05, A6 = −1.01116e−06,

A8 = 5.64180e−08, A10 = −2.23368e−09, A12 = 3.59187e−11

22nd surface

κ = 0.000, A2 = 0.0000E+00, A4 = −2.17277e−04, A6 = 5.36299e−06,

A8 = −5.28517e−07, A10 = 1.10330e−08, A12 = −1.37250e−10

23rd surface

κ = 0.000, A2 = 0.0000E+00, A4 = −1.09771e−04, A6 = 5.91402e−06,

A8 = −5.09130e−07, A10 = 8.38419e−09, A12 = −4.36735e−11

28th surface

κ = 0.000, A2 = 0.0000E+00, A4 = 8.15873e−04, A6 = 4.82675e−06,

A8 = −2.20386e−06, A10 = 4.10510e−08

29th surface

κ = 0.000, A2 = 0.0000E+00, A4 = 1.26016e−03, A6 = 1.60282e−05,

A8 = −3.90922e−06, A10 = 7.56282e−08

Various data

Zoom ratio 19.67

Wide angle
Intermediate
Telephoto

Focal length
4.72
19.24
92.91

Fno.
2.67
3.78
3.93

Angle of field 2ω
76.87
20.56
4.32

Image height
3.6
3.6
3.6

Lens total length
85.69
99.20
110.90

BF
4.70
4.69
4.70

d6
1.00
17.99
34.56

d14
25.69
9.59
2.30

d23
1.20
6.07
11.79

d27
5.92
13.68
10.38

Entrance pupil position
21.06
71.03
333.07

Exit pupil position A
−31.47
−67.01
−91.27

Exit pupil position B
−36.18
−71.71
−95.97

Front side principal
25.17
85.10
336.03

point position

Back side principal
−3.75
−18.28
−91.94

point position

Single lens data

Lens
Initial surface
focal length

L1
1
−79.95

L2
2
215.26

L3
3
75.75

L4
5
66.60

L5
7
−9.44

L6
9
−11.00

L7
10
8.81E+04

L8
11
8.73

L9
13
−15.80

L10
16
16.37

L11
18
−21.82

L12
20
21.10

L13
22
−132.60

L14
24
33.38

L15
25
8.13E+06

L16
26
−57.61

L17
28
87.85

Zoom lens group data

Front side
Back side

Lens
principal
principal

Initial

structure
point
point

Unit
surface
Focal length
length
position
position

1
1
52.6191
12.8823
2.9851
−5.0850

2
7
−6.6001
13.5160
1.8794
−7.0058

3
15
17.3354
15.6380
1.5176
−9.6359

4
24
73.7783
3.5080
−2.0985
−4.2304

5
28
87.8520
6.7160
0.7294
−4.0624

Lens
Wide angle
Intermediate
Telephoto

Unit
surface
Magnification
Magnification
Magnification

1
1
0.0000
0.0000
0.0000

2
7
−0.1734
−0.3133
−1.4680

3
15
−0.7039
−1.8346
−1.7731

4
24
0.7801
0.6750
0.7196

5
28
0.9426
0.9427
0.9427

Example 15

Unit mm

Surface data

effective

Surface no.
r
d
nd
νd
radius

Object plane
∞
∞

1
64.222
3.74
1.63387
23.38
18.00

2*
−5535.874
0.78
1.63493
23.90
17.30

3
32.530
4.68
1.48749
70.23
14.83

4
69846.338
0.10

14.70

5
39.496
2.73
1.72916
54.68
14.23

6
121.015
Variable

14.00

7
69.616
1.10
1.88300
40.76
8.84

8
7.214
4.79

6.17

9
−46.254
0.80
1.88300
40.76
6.08

10
12.396
0.01
1.51400
42.83
6.11

11
12.396
4.87
1.78472
25.68
6.11

12
−13.411
1.15

6.18

13
−13.602
0.80
1.77250
49.60
5.61

14*
−679.809
Variable

5.62

15(stop)
∞
1.30

3.78

16*
10.743
4.93
1.58913
61.14
4.37

17
−78.051
0.10

4.38

18
28.041
2.77
1.84666
23.78
4.37

19
10.632
1.42

4.08

20
14.230
3.12
1.49700
81.54
4.33

21
−36.985
0.64

4.38

22*
84.991
1.36
1.53071
55.69
4.35

23*
34.607
Variable

4.35

24
19.130
2.68
1.49700
81.54
4.78

25
−119.090
0.01
1.51400
42.83
4.65

26
−119.090
0.82
1.80400
46.57
4.65

27
76.031
Variable

4.60

28*
147.374
1.63
1.53071
55.69
4.12

29*
−67.939
1.09

4.04

30
∞
4.00
1.51680
64.20
3.99

31
∞
1.08

3.84

Image plane
∞

Aspherical Surface data

2nd surface

κ = 0.000, A2 = 0.0000E+00, A4 = 1.71539e−05, A6 = −1.44664e−07,

A8 = 3.88441e−10, A10 = −2.90297e−13

14th surface

κ = 0.000, A2 = 0.0000E+00, A4 = −9.39251e−05, A6 = −3.55374e−07,

A8 = 3.55597e−09, A10 = −5.33578e−10

16th surface

κ = 0.000, A2 = 0.0000E+00, A4 = −8.77784e−05, A6 = −1.01116e−06,

A8 = 5.64180e−08, A10 = −2.23368e−09, A12 = 3.59187e−11

22nd surface

κ = 0.000, A2 = 0.0000E+00, A4 = −2.17277e−04, A6 = 5.36299e−06,

A8 = −5.28517e−07, A10 = 1.10330e−08, A12 = −1.37250e−10

23rd surface

κ = 0.000, A2 = 0.0000E+00, A4 = −1.09771e−04, A6 = 5.91402e−06,

A8 = −5.09130e−07, A10 = 8.38419e−09, A12 = −4.36735e−11

28th surface

κ = 0.000, A2 = 0.0000E+00, A4 = 8.15873e−04, A6 = 4.82675e−06,

A8 = −2.20386e−06, A10 = 4.10510e−08

29th surface

κ = 0.000, A2 = 0.0000E+00, A4 = 1.26016e−03, A6 = 1.60282e−05,

A8 = −3.90922e−06, A10 = 7.56282e−08

Various data

Zoom ratio 19.84

Wide angle
Intermediate
Telephoto

Focal length
4.69
20.70
92.99

Fno.
2.82
4.67
4.73

Angle of field 2ω
77.97
19.19
4.31

Image height
3.6
3.6
3.6

Lens total length
85.01
104.03
120.31

BF
4.80
4.64
4.78

d6
1.00
16.57
37.69

d14
25.76
8.10
2.30

d23
1.01
15.25
17.36

d27
6.12
13.16
11.85

Entrance pupil position
19.87
56.67
308.19

Exit pupil position A
−30.98
−142.81
−170.36

Exit pupil position B
−35.78
−147.44
−175.15

Front side principal
23.95
74.46
351.81

point position

Back side principal
−3.61
−19.79
−91.93

point position

Single lens data

Lens
Initial surface
focal length

L1
1
100.18

L2
2
−50.93

L3
3
66.76

L4
5
79.29

L5
7
−9.19

L6
9
−11.00

L7
10
8.81E+04

L8
11
8.95

L9
13
−17.98

L10
16
16.37

L11
18
−21.82

L12
20
21.10

L13
22
−111.04

L14
24
33.38

L15
25
8.13E+06

L16
26
−57.61

L17
28
87.85

Zoom lens group data

Front side
Back side

Lens
principal
principal

Initial

structure
point
point

Unit
surface
Focal length
length
position
position

1
1
56.9801
12.0287
3.0855
−4.6406

2
7
−6.8221
13.5160
1.6684
−7.4301

3
15
17.5589
15.6380
1.2893
−9.7489

4
24
73.7783
3.5080
−2.0985
−4.2304

5
28
87.8520
6.7160
0.7294
−4.0624

Lens
Wide angle
Intermediate
Telephoto

Unit
surface
Magnification
Magnification
Magnification

1
1
0.0000
0.0000
0.0000

2
7
−0.1592
−0.2501
−1.1084

3
15
−0.7071
−2.2550
−2.2385

4
24
0.7759
0.6830
0.6984

5
28
0.9415
0.9434
0.9417

Example 16

Unit mm

Surface data

effective

Surface no.
r
d
nd
νd
radius

Object plane
∞
∞

1
63.000
4.05
1.67000
20.00
18.00

2*
5631.149
0.51
1.63493
23.90
18.00

3
26.252
5.76
1.48749
70.23
14.83

4
116851.672
0.10

14.70

5
33.144
2.85
1.72916
54.68
14.22

6
82.679
Variable

14.00

7
72.007
1.10
1.88300
40.76
8.49

8
7.228
4.79

6.02

9
−46.254
0.80
1.88300
40.76
5.85

10
12.396
0.01
1.51400
42.83
5.82

11
12.396
4.87
1.78472
25.68
5.82

12
−13.411
1.15

5.86

13
−13.602
0.80
1.77250
49.60
5.25

14*
−679.809
Variable

5.21

15(stop)
∞
1.30

3.78

16*
10.743
4.93
1.58913
61.14
4.56

17
−78.051
0.10

4.55

18
28.041
2.77
1.84666
23.78
4.52

19
10.632
1.42

4.20

20
14.230
3.12
1.49700
81.54
4.45

21
−36.985
0.64

4.48

22*
99.753
1.36
1.53071
55.69
4.44

23*
34.607
Variable

4.44

24
19.130
2.68
1.49700
81.54
4.75

25
−119.090
0.01
1.51400
42.83
4.62

26
−119.090
0.82
1.80400
46.57
4.62

27
76.031
Variable

4.58

28*
147.374
1.63
1.53071
55.69
4.11

29*
−67.939
1.09

4.04

30
∞
4.00
1.51680
64.20
3.99

31
∞
1.55

3.86

Image plane
∞

Aspherical Surface data

2nd surface

κ = 0.000, A2 = 0.0000E+00, A4 = −6.83931e−06, A6 = −3.93410e−10,

A8 = −1.85984e−11, A10 = 3.49310e−14

14th surface

κ = 0.000, A2 = 0.0000E+00, A4 = −9.39251e−05, A6 = −3.55374e−07,

A8 = 3.55597e−09, A10 = −5.33578e−10

16th surface

κ = 0.000, A2 = 0.0000E+00, A4 = −8.77784e−05, A6 = −1.01116e−06,

A8 = 5.64180e−08, A10 = −2.23368e−09, A12 = 3.59187e−11

22nd surface

κ = 0.000, A2 = 0.0000E+00, A4 = −2.17277e−04, A6 = 5.36299e−06,

A8 = −5.28517e−07, A10 = 1.10330e−08, A12 = −1.37250e−10

23rd surface

κ = 0.000, A2 = 0.0000E+00, A4 = −1.09771e−04, A6 = 5.91402e−06,

A8 = −5.09130e−07, A10 = 8.38419e−09, A12 = −4.36735e−11

28th surface

κ = 0.000, A2 = 0.0000E+00, A4 = 8.15873e−04, A6 = 4.82675e−06,

A8 = −2.20386e−06, A10 = 4.10510e−08

29th surface

κ = 0.000, A2 = 0.0000E+00, A4 = 1.26016e−03, A6 = 1.60282e−05,

A8 = −3.90922e−06, A10 = 7.56282e−08

Various data

Zoom ratio 19.32

Wide angle
Intermediate
Telephoto

Focal length
4.81
20.70
93.03

Fno.
2.84
4.70
4.68

Angle of field 2ω
75.93
19.26
4.33

Image height
3.6
3.6
3.6

Lens total length
86.54
104.76
118.62

BF
5.27
4.61
4.67

d6
1.00
15.61
35.93

d14
25.84
8.55
2.30

d23
1.15
15.54
15.12

d27
5.73
12.89
13.04

Entrance pupil position
21.15
56.79
304.35

Exit pupil position A
−30.36
−143.87
−138.53

Exit pupil position B
−35.63
−148.49
−143.20

Front side principal
25.31
74.60
336.94

point position

Back side principal
−3.27
−19.81
−92.08

point position

Single lens data

Lens
Initial surface
focal length

L1
1
95.07

L2
2
−41.54

L3
3
53.86

L4
5
74.07

L5
7
−9.17

L6
9
−11.00

L7
10
8.81E+04

L8
11
8.95

L9
13
−17.98

L10
16
16.37

L11
18
−21.82

L12
20
21.10

L13
22
−100.58

L14
24
33.38

L15
25
8.13E+06

L16
26
−57.61

L17
28
87.85

Zoom lens group data

Front side
Back side

Lens
principal
principal

Initial

structure
point
point

Unit
surface
Focal length
length
position
position

1
1
55.3191
13.2710
3.3877
−5.1255

2
7
−6.8103
13.5160
1.6645
−7.4331

3
15
17.7050
15.6380
1.1401
−9.8226

4
24
73.7783
3.5080
−2.0985
−4.2304

5
28
87.8520
6.7160
0.7294
−4.0624

Lens
Wide angle
Intermediate
Telephoto

Unit
surface
Magnification
Magnification
Magnification

1
1
0.0000
0.0000
0.0000

2
7
−0.1673
−0.2608
−1.1771

3
15
−0.7181
−2.2131
−2.2145

4
24
0.7740
0.6870
0.6841

5
28
0.9362
0.9436
0.9430

Example 17

Unit mm

Surface data

effective

Surface no.
r
d
nd
νd
radius

Object plane
∞
∞

1
64.493
2.67
1.63336
23.36
18.00

2*
7553.573
0.89
1.63493
23.90
17.04

3
32.095
4.70
1.48749
70.23
15.18

4
88340.187
0.10

14.70

5
36.513
2.71
1.72916
54.68
14.22

6
98.569
Variable

14.00

7
56.969
1.10
1.88300
40.76
8.92

8
7.154
4.79

6.16

9
−46.254
0.80
1.88300
40.76
6.07

10
12.396
0.01
1.51400
42.83
6.10

11
12.396
4.87
1.78472
25.68
6.10

12
−13.411
1.15

6.18

13
−13.602
0.80
1.77250
49.60
5.61

14*
−679.809
Variable

5.63

15(stop)
∞
1.30

3.78

16*
10.743
4.93
1.58913
61.14
4.36

17
−78.051
0.10

4.37

18
28.041
2.77
1.84666
23.78
4.35

19
10.632
1.42

4.06

20
14.230
3.12
1.49700
81.54
4.31

21
−36.985
0.64

4.35

22*
108.705
1.36
1.53071
55.69
4.32

23*
34.607
Variable

4.32

24
19.130
2.68
1.49700
81.54
4.76

25
−119.090
0.01
1.51400
42.83
4.64

26
−119.090
0.82
1.80400
46.57
4.63

27
76.031
Variable

4.59

28*
147.374
1.63
1.53071
55.69
4.11

29*
−67.939
1.09

4.03

30
∞
4.00
1.51680
64.20
3.97

31
∞
0.97

3.83

Image plane
∞

Aspherical Surface data

2nd surface

κ = 0.000, A2 = 0.0000E+00, A4 = 5.27314e−05, A6 = −3.41835e−07,

A8 = 1.42488e−09, A10 = −2.27996e−12

14th surface

κ = 0.000, A2 = 0.0000E+00, A4 = −9.39251e−05, A6 = −3.55374e−07,

A8 = 3.55597e−09, A10 = −5.33578e−10

16th surface

κ = 0.000, A2 = 0.0000E+00, A4 = −8.77784e−05, A6 = −1.01116e−06,

A8 = 5.64180e−08, A10 = −2.23368e−09, A12 = 3.59187e−11

22nd surface

κ = 0.000, A2 = 0.0000E+00, A4 = −2.17277e−04, A6 = 5.36299e−06,

A8 = −5.28517e−07, A10 = 1.10330e−08, A12 = −1.37250e−10

23rd surface

κ = 0.000, A2 = 0.0000E+00, A4 = −1.09771e−04, A6 = 5.91402e−06,

A8 = −5.09130e−07, A10 = 8.38419e−09, A12 = −4.36735e−11

28th surface

κ = 0.000, A2 = 0.0000E+00, A4 = 8.15873e−04, A6 = 4.82675e−06,

A8 = −2.20386e−06, A10 = 4.10510e−08

29th surface

κ = 0.000, A2 = 0.0000E+00, A4 = 1.26016e−03, A6 = 1.60282e−05,

A8 = −3.90922e−06, A10 = 7.56282e−08

Various data

Zoom ratio 19.48

Wide angle
Intermediate
Telephoto

Focal length
4.76
20.52
92.80

Fno.
2.87
4.74
4.83

Angle of field 2ω
76.91
19.40
4.33

Image height
3.6
3.6
3.6

Lens total length
84.81
103.38
119.48

BF
4.69
4.55
4.68

d6
1.00
16.08
37.21

d14
26.32
8.64
2.30

d23
1.03
15.79
16.06

d27
6.41
12.96
13.86

Entrance pupil position
19.31
54.37
293.31

Exit pupil position A
−31.18
−147.53
−158.87

Exit pupil position B
−35.88
−152.08
−163.55

Front side principal
23.44
72.13
333.45

point position

Back side principal
−3.80
−19.70
−91.85

point position

Single lens data

Lens
Initial surface
focal length

L1
1
102.69

L2
2
−50.77

L3
3
65.86

L4
5
78.10

L5
7
−9.36

L6
9
−11.00

L7
10
8.81E+04

L8
11
8.95

L9
13
−17.98

L10
16
16.37

L11
18
−21.82

L12
20
21.10

L13
22
−96.28

L14
24
33.38

L15
25
8.13E+06

L16
26
−57.61

L17
28
87.85

Zoom lens group data

Front side
Back side

Lens
principal
principal

Initial

structure
point
point

Unit
surface
Focal length
length
position
position

1
1
56.5316
11.0783
2.7317
−4.3672

2
7
−6.9326
13.5160
1.7002
−7.4050

3
15
17.7750
15.6380
1.0686
−9.8581

4
24
73.7783
3.5080
−2.0985
−4.2304

5
28
87.8520
6.7160
0.7294
−4.0624

Lens
Wide angle
Intermediate
Telephoto

Unit
surface
Magnification
Magnification
Magnification

1
1
0.0000
0.0000
0.0000

2
7
−0.1630
−0.2525
−1.0972

3
15
−0.7087
−2.2160
−2.3581

4
24
0.7736
0.6870
0.6728

5
28
0.9428
0.9444
0.9429

Example 18

Unit mm

Surface data

effective

Surface no.
r
d
nd
νd
radius

Object plane
∞
∞

1
130.000
2.30
1.69952
16.99
18.00

2*
354526.768
1.67
1.94595
17.98
18.87

3
87.187
2.68
1.49700
81.54
17.28

4
49777.504
0.10

15.50

5
31.463
4.50
1.49700
81.54
14.24

6
3317.228
Variable

14.00

7
34.377
1.10
1.88300
40.76
9.29

8
7.351
4.79

6.47

9
−46.254
0.80
1.88300
40.76
6.39

10
12.396
0.01
1.51400
42.83
6.32

11
12.396
4.87
1.78472
25.68
6.32

12
−13.411
1.15

6.33

13
−13.602
0.80
1.77250
49.60
5.74

14*
−679.809
Variable

5.78

15(stop)
∞
1.30

3.78

16*
10.743
4.93
1.58913
61.14
4.35

17
−78.051
0.10

4.34

18
28.041
2.77
1.84666
23.78
4.32

19
10.632
1.42

4.03

20
14.230
3.12
1.49700
81.54
4.27

21
−36.985
0.64

4.30

22*
494.568
1.36
1.53071
55.69
4.27

23*
34.607
Variable

4.28

24
19.130
2.68
1.49700
81.54
4.60

25
−119.090
0.01
1.51400
42.83
4.48

26
−119.090
0.82
1.80400
46.57
4.48

27
76.031
Variable

4.44

28*
147.374
1.63
1.53071
55.69
4.08

29*
−67.939
1.09

4.01

30
∞
4.00
1.51680
64.20
3.95

31
∞
Variable

3.82

Image plane
∞

Aspherical surface data

2nd surface

κ = 0.000, A2 = 0.0000E+00, A4 = −4.50349e−06, A6 = 7.08700e−09,

A8 = −4.13522e−11, A10 = 6.88703e−14

14th surface

κ = 0.000, A2 = 0.0000E+00, A4 = −9.39251e−05, A6 = −3.55374e−07,

A8 = 3.55597e−09, A10 = −5.33578e−10

16th surface

κ = 0.000, A2 = 0.0000E+00, A4 = −8.77784e−05, A6 = −1.01116e−06,

A8 = 5.64180e−08, A10 = −2.23368e−09, A12 = 3.59187e−11

22nd surface

κ = 0.000, A2 = 0.0000E+00, A4 = −2.17277e−04, A6 = 5.36299e−06,

A8 = −5.28517e−07, A10 = 1.10330e−08, A12 = −1.37250e−10

23rd surface

κ = 0.000, A2 = 0.0000E+00, A4 = −1.09771e−04, A6 = 5.91402e−06,

A8 = −5.09130e−07, A10 = 8.38419e−09, A12 = −4.36735e−11

28th surface

κ = 0.000, A2 = 0.0000E+00, A4 = 8.15873e−04, A6 = 4.82675e−06,

A8 = −2.20386e−06, A10 = 4.10510e−08

29th surface

κ = 0.000, A2 = 0.0000E+00, A4 = 1.26016e−03, A6 = 1.60282e−05,

A8 = −3.90922e−06, A10 = 7.56282e−08

Various data

Zoom ratio 18.28

Wide angle
Intermediate
Telephoto

Focal length
4.70
20.22
86.02

Fno.
2.89
4.60
4.96

Angle of field 2ω
77.76
19.95
4.75

Image height
3.6
3.6
3.6

Lens total length
89.00
104.27
121.44

BF
4.65
4.63
4.75

d6
1.00
18.69
41.10

d14
30.79
10.15
2.30

d23
0.85
11.33
5.33

d27
6.17
13.93
22.43

Entrance pupil position
20.03
59.54
265.35

Exit pupil position A
−29.43
−97.04
−90.20

Exit pupil position B
−34.08
−101.67
−94.95

Front side principal
24.09
75.73
273.44

point position

Back side principal
−3.78
−19.31
−85.00

point position

Single lens data

Lens
Initial surface
focal length

L1
1
185.91

L2
2
−92.19

L3
3
175.73

L4
5
63.88

L5
7
−10.79

L6
9
−11.00

L7
10
8.81E+04

L8
11
8.95

L9
13
−17.98

L10
16
16.37

L11
18
−21.82

L12
20
21.10

L13
22
−70.19

L14
24
33.38

L15
25
8.13E+06

L16
26
−57.61

L17
28
87.85

Zoom lens group data

Front side
Back side

Lens
principal
principal

Initial

structure
point
point

Unit
surface
Focal length
length
position
position

1
1
63.5207
11.2511
3.3463
−3.8243

2
7
−7.8227
13.5160
1.9012
−7.2416

3
15
18.4086
15.6380
0.4215
−10.1782

4
24
73.7783
3.5080
−2.0985
−4.2304

5
28
87.8520
6.7160
0.7294
−4.0624

Lens
Wide angle
Intermediate
Telephoto

Unit
surface
Magnification
Magnification
Magnification

1
1
0.0000
0.0000
0.0000

2
7
−0.1597
−0.2501
−0.8818

3
15
−0.6323
−2.0051
−2.9333

4
24
0.7775
0.6726
0.5557

5
28
0.9432
0.9435
0.9422

Example 19

Unit mm

Surface data

effective

Surface no.
r
d
nd
νd
radius

Object plane
∞
∞

1
60.982
5.35
1.64850
53.02
24.00

2
495.744
0.19

23.38

3
31.172
1.28
1.92286
18.90
17.70

4
22.227
1.77
1.63387
23.38
16.35

5
26.877
5.23
1.49700
81.54
16.31

6
101.913
Variable

16.00

7
303.814
1.10
1.88300
40.76
9.68

8
8.312
4.79

6.82

9
−46.254
0.80
1.88300
40.76
6.71

10
12.396
0.01
1.51400
42.83
6.69

11
12.396
4.87
1.78472
25.68
6.69

12
−12.684
1.15

6.72

13
−11.499
0.80
1.77250
49.60
5.72

14*
−230.432
Variable

5.72

15(stop)
∞
1.30

3.39

16*
10.743
4.93
1.58913
61.14
3.96

17
−78.051
0.10

4.06

18
28.041
2.77
1.84666
23.78
4.07

19
10.295
1.42

3.87

20
12.826
3.12
1.49700
81.54
4.21

21
−36.985
0.64

4.29

22*
39.207
1.36
1.53071
55.69
4.29

23*
33.196
Variable

4.28

24
19.130
2.68
1.49700
81.54
4.60

25
−119.090
0.01
1.51400
42.83
4.47

26
−119.090
0.82
1.80400
46.57
4.47

27
76.031
Variable

4.41

28*
147.374
1.63
1.53071
55.69
4.17

29*
−67.939
1.09

4.09

30
∞
4.00
1.51680
64.20
4.02

31
∞
1.05

3.85

Image plane
∞

Aspherical surface data

14th surface

κ = 0.000, A2 = 0.0000E+00, A4 = −7.99095e−05, A6 = −9.37486e−07,

A8 = 4.32991e−08, A10 = −1.00218e−09

16th surface

κ = 0.000, A2 = 0.0000E+00, A4 = −8.77784e−05, A6 = −1.01116e−06,

A8 = 5.64180e−08, A10 = −2.23368e−09, A12 = 3.59187e−11

22nd surface

κ = 0.000, A2 = 0.0000E+00, A4 = −2.17277e−04, A6 = 5.36299e−06,

A8 = −5.28517e−07, A10 = 1.10330e−08, A12 = −1.37250e−10

23rd surface

κ = 0.000, A2 = 0.0000E+00, A4 = −1.09771e−04, A6 = 5.91402e−06,

A8 = −5.09130e−07, A10 = 8.38419e−09, A12 = −4.36735e−11

28th surface

κ = 0.000, A2 = 0.0000E+00, A4 = 8.15873e−04, A6 = 4.82675e−06,

A8 = −2.20386e−06, A10 = 4.10510e−08

29th surface

κ = 0.000, A2 = 0.0000E+00, A4 = 1.26016e−03, A6 = 1.60282e−05,

A8 = −3.90922e−06, A10 = 7.56282e−08

Various data

Zoom ratio 17.36

Wide angle
Intermediate
Telephoto

Focal length
4.86
20.12
84.44

Fno.
2.83
4.26
5.31

Angle of field 2ω
75.01
19.69
4.72

Image height
3.6
3.6
3.6

Lens total length
84.06
98.77
118.56

BF
4.78
4.67
4.67

d6
1.00
16.79
33.06

d14
24.28
7.94
2.30

d23
1.62
13.90
29.38

d27
4.26
7.36
1.04

Entrance pupil position
24.63
73.25
271.77

Exit pupil position A
−31.43
−104.20
3257.46

Exit pupil position B
−36.21
−108.87
3252.79

Front side principal
28.84
89.66
358.40

point position

Back side principal
−3.81
−19.17
−83.49

point position

Single lens data

Lens
Initial surface
focal length

L1
1
106.71

L2
3
−90.15

L3
4
176.57

L4
5
71.79

L5
7
−9.69

L6
9
−11.00

L7
10
8.81E+04

L8
11
8.73

L9
13
−15.69

L10
16
16.37

L11
18
−20.69

L12
20
19.57

L13
22
−442.74

L14
24
33.38

L15
25
8.13E+06

L16
26
−57.61

L17
28
87.85

Zoom lens group data

Front side
Back side

Lens
principal
principal

Initial

structure
point
point

Unit
surface
Focal length
length
position
position

1
1
58.8815
13.8227
−1.3148
−9.6007

2
7
−6.7026
13.5160
1.8901
−6.9662

3
15
16.3471
15.6380
2.4850
−9.1335

4
24
73.7783
3.5080
−2.0985
−4.2304

5
28
87.8520
6.7160
0.7294
−4.0624

Lens
Wide angle
Intermediate
Telephoto

Unit
surface
Magnification
Magnification
Magnification

1
1
0.0000
0.0000
0.0000

2
7
−0.1689
−0.2804
−0.8784

3
15
−0.6482
−1.6981
−2.0449

4
24
0.8014
0.7610
0.8466

5
28
0.9418
0.9430
0.9430

Example 20

Unit mm

Surface data

effective

Surface no.
r
d
nd
νd
radius

Object plane
∞
∞

1
59.963
4.20
1.49700
81.54
18.60

2
2486.142
0.10

17.76

3
41.700
0.99
1.84666
23.78
15.50

4
25.367
0.72
1.63387
23.38
14.76

5
28.640
4.19
1.67790
55.34
14.74

6
111.334
Variable

14.50

7
110.422
1.10
1.88300
40.76
9.11

8
8.083
4.79

6.49

9
−46.254
0.80
1.88300
40.76
6.24

10
12.396
0.01
1.51400
42.83
6.10

11
12.396
4.87
1.78472
25.68
6.11

12
−12.684
1.15

6.07

13
−11.499
0.80
1.77250
49.60
5.08

14*
−125.405
Variable

5.00

15(stop)
∞
1.30

3.48

16*
10.743
4.93
1.58913
61.14
4.07

17
−78.051
0.10

4.16

18
28.041
2.77
1.84666
23.78
4.16

19
10.469
1.42

3.94

20
13.611
3.12
1.49700
81.54
4.25

21
−36.985
0.64

4.33

22*
63.868
1.36
1.53071
55.69
4.33

23*
48.855
Variable

4.34

24
19.130
2.68
1.49700
81.54
4.65

25
−119.090
0.01
1.51400
42.83
4.51

26
−119.090
0.82
1.80400
46.57
4.51

27
76.031
Variable

4.46

28*
147.374
1.63
1.53071
55.69
4.21

29*
−67.939
1.09

4.18

30
∞
4.00
1.51680
64.20
4.09

31
∞
1.05

3.86

Image plane
∞

Aspherical surface data

14th surface

κ = 0.000, A2 = 0.0000E+00, A4 = −8.14579e−05, A6 = −1.15665e−06,

A8 = 6.76342e−08, A10 = −1.49231e−09

16th surface

κ = 0.000, A2 = 0.0000E+00, A4 = −8.77784e−05, A6 = −1.01116e−06,

A8 = 5.64180e−08, A10 = −2.23368e−09, A12 = 3.59187e−11

22nd surface

κ = 0.000, A2 = 0.0000E+00, A4 = −2.17277e−04, A6 = 5.36299e−06,

A8 = −5.28517e−07, A10 = 1.10330e−08, A12 = −1.37250e−10

23rd surface

κ = 0.000, A2 = 0.0000E+00, A4 = −1.09771e−04, A6 = 5.91402e−06,

A8 = −5.09130e−07, 10 = 8.38419e−09, A12 = −4.36735e−11

28th surface

κ = 0.000, A2 = 0.0000E+00, A4 = 6.47771e−04, A6 = −1.69732e−05,

A8 = −9.26628e−07, A10 = 1.17663e−08

29th surface

κ = 0.000, A2 = 0.0000E+00, A4 = 1.08506e−03, A6 = −2.70703e−05,

A8 = −1.53201e−06, A10 = 3.10909e−08

Various data

Zoom ratio 17.81

Wide angle
Intermediate
Telephoto

Focal length
4.69
19.67
83.55

Fno.
2.80
4.36
5.11

Angle of field 2ω
78.31
20.25
4.80

Image height
3.6
3.6
3.6

Lens total length
80.70
98.74
120.58

BF
4.78
4.68
4.76

d6
1.00
18.72
39.47

d14
24.31
7.57
2.30

d23
1.61
16.43
28.30

d27
4.52
6.85
1.26

Entrance pupil position
19.50
63.53
285.65

Exit pupil position A
−31.80
−132.93
−3328.09

Exit pupil position B
−36.58
−137.61
−3332.85

Front side principal
23.59
80.39
367.10

point position

Back side principal
−3.64
−18.72
−82.51

point position

Single lens data

Lens
Initial surface
focal length

L1
1
123.56

L2
3
−78.69

L3
4
322.68

L4
5
55.74

L5
7
−9.93

L6
9
−11.00

L7
10
8.81E+04

L8
11
8.73

L9
13
−16.44

L10
16
16.37

L11
18
−21.27

L12
20
20.44

L13
22
−404.32

L14
24
33.38

L15
25
8.13E+06

L16
26
−57.61

L17
28
87.85

Zoom lens group data

Front side
Back side

Lens
principal
principal

Initial

structure
point
point

Unit
surface
Focal length
length
position
position

1
1
63.1420
10.1987
−0.1462
−6.3764

2
7
−7.1131
13.5160
1.8043
−7.2056

3
15
16.6070
15.6380
2.4030
−9.2287

4
24
73.7783
3.5080
−2.0985
−4.2304

5
28
87.8520
6.7160
0.7294
−4.0624

Lens
Wide angle
Intermediate
Telephoto

Unit
surface
Magnification
Magnification
Magnification

1
1
0.0000
0.0000
0.0000

2
7
−0.1518
−0.2442
−0.8487

3
15
−0.6511
−1.7625
−1.9650

4
24
0.7980
0.7677
0.8423

5
28
0.9418
0.9429
0.9420

Example 21

Unit mm

Surface data

effective

Surface no.
r
d
nd
νd
radius

Object plane
∞
∞

1
59.200
3.83
1.49700
81.54
18.70

2
2576.346
0.10

18.48

3
38.400
0.96
1.90680
21.15
15.50

4
23.902
0.77
1.70010
17.01
14.69

5
27.142
4.40
1.69400
56.30
14.68

6
112.392
Variable

14.44

7
124.140
1.10
1.88300
40.76
9.63

8
8.143
4.79

6.79

9
−46.254
0.80
1.88300
40.76
6.71

10
12.396
0.01
1.51400
42.83
6.70

11
12.396
4.87
1.78472
25.68
6.70

12
−12.684
1.15

6.74

13
−11.499
0.80
1.77250
49.60
5.81

14*
−141.904
Variable

5.83

15(stop)
∞
1.30

3.48

16*
10.743
4.93
1.58913
61.14
4.03

17
−78.051
0.10

4.09

18
28.041
2.77
1.84666
23.78
4.09

19
10.545
1.42

3.85

20
13.731
3.12
1.49700
81.54
4.14

21
−36.985
0.64

4.20

22*
81.603
1.36
1.53071
55.69
4.19

23*
44.028
Variable

4.19

24
19.130
2.68
1.49700
81.54
4.62

25
−119.090
0.01
1.51400
42.83
4.50

26
−119.090
0.82
1.80400
46.57
4.50

27
76.031
Variable

4.45

28*
147.374
1.63
1.53071
55.69
4.18

29*
−67.939
1.09

4.22

30
∞
4.00
1.51680
64.20
4.11

31
∞
1.00

3.87

Image plane
∞

Aspherical surface data

14th surface

κ = 0.000, A2 = 0.0000E+00, A4 = −8.03282e−05, A6 = −9.82748e−07,

A8 = 4.48510e−08, A10 = −9.57444e−10

16th surface

κ = 0.000, A2 = 0.0000E+00, A4 = −8.77784e−05, A6 = −1.01116e−06,

A8 = 5.64180e−08, A10 = −2.23368e−09, A12 = 3.59187e−11

22nd surface

κ = 0.000, A2 = 0.0000E+00, A4 = −2.17277e−04, A6 = 5.36299e−06,

A8 = −5.28517e−07, A10 = 1.10330e−08, A12 = −1.37250e−10

23rd surface

κ = 0.000, A2 = 0.0000E+00, A4 = −1.09771e−04, A6 = 5.91402e−06,

A8 = −5.09130e−07, A10 = 8.38419e−09, A12 = −4.36735e−11

28th surface

κ = 0.000, A2 = 0.0000E+00, A4 = 1.07507e−03, A6 = −8.98397e−05,

A8 = 3.30252e−06, A10 = −1.03838e−07

29th surface

κ = 0.000, A2 = 0.0000E+00, A4 = 1.64800e−03, A6 = −1.03700e−04,

A8 = 1.95605e−06, A10 = −5.18968e−08

Various data

Zoom ratio 19.40

Wide angle
Intermediate
Telephoto

Focal length
4.75
21.05
92.07

Fno.
2.88
4.49
5.39

Angle of field 2ω
76.84
18.92
4.35

Image height
3.6
3.6
3.6

Lens total length
82.20
98.86
118.20

BF
4.72
4.70
4.70

d6
1.00
18.05
35.85

d14
25.71
8.05
2.30

d23
1.57
14.67
29.76

d27
4.85
9.04
1.25

Entrance pupil position
19.80
66.10
277.19

Exit pupil position A
−31.32
−116.75
3184.27

Exit pupil position B
−36.05
−121.45
3179.56

Front side principal
23.92
83.50
371.92

point position

Back side principal
−3.75
−20.07
−91.09

point position

Single lens data

Lens
Initial surface
focal length

L1
1
121.85

L2
3
−72.08

L3
4
260.52

L4
5
50.49

L5
7
−9.91

L6
9
−11.00

L7
10
8.81E+04

L8
11
8.73

L9
13
−16.24

L10
16
16.37

L11
18
−21.52

L12
20
20.57

L13
22
−182.46

L14
24
33.38

L15
25
8.13E+06

L16
26
−57.61

L17
28
87.85

Zoom lens group data

Front side
Back side

Lens
principal
principal

Initial

structure
point
point

Unit
surface
Focal length
length
position
position

1
1
57.9678
10.0525
−0.1804
−6.2322

2
7
−7.0320
13.5160
1.8345
−7.1369

3
15
16.9660
15.6380
1.9601
−9.4347

4
24
73.7783
3.5080
−2.0985
−4.2304

5
28
87.8520
6.7160
0.7294
−4.0624

Lens
Wide angle
Intermediate
Telephoto

Unit
surface
Magnification
Magnification
Magnification

1
1
0.0000
0.0000
0.0000

2
7
−0.1680
−0.2833
−1.0020

3
15
−0.6511
−1.8427
−1.9939

4
24
0.7943
0.7378
0.8434

5
28
0.9424
0.9427
0.9426

Example 22

Unit mm

Surface data

effective

Surface no.
r
d
nd
νd
radius

Object plane
∞
∞

1
60.430
4.03
1.49700
81.54
18.70

2
3560.059
0.10

19.11

3
37.900
1.14
1.94595
17.98
15.50

4
24.736
0.73
1.69952
16.99
14.71

5
27.816
4.15
1.72000
43.69
14.69

6
93.987
Variable

14.43

7
96.799
1.10
1.88300
40.76
9.61

8
8.027
4.79

6.69

9
−46.254
0.80
1.88300
40.76
6.54

10
12.396
0.01
1.51400
42.83
6.47

11
12.396
4.87
1.78472
25.68
6.47

12
−12.684
1.15

6.48

13
−11.499
0.80
1.77250
49.60
5.45

14*
−173.275
Variable

5.40

15(stop)
∞
1.30

3.48

16*
10.743
4.93
1.58913
61.14
4.04

17
−78.051
0.10

4.10

18
28.041
2.77
1.84666
23.78
4.10

19
10.392
1.42

3.87

20
13.283
3.12
1.49700
81.54
4.16

21
−36.985
0.64

4.23

22*
77.099
1.36
1.53071
55.69
4.22

23*
46.336
Variable

4.22

24
19.130
2.68
1.49700
81.54
4.67

25
−119.090
0.01
1.51400
42.83
4.54

26
−119.090
0.82
1.80400
46.57
4.54

27
76.031
Variable

4.49

28*
147.374
1.63
1.53071
55.69
4.23

29*
−67.939
1.09

4.23

30
∞
4.00
1.51680
64.20
4.12

31
∞
1.03

3.88

Image plane
∞

Aspherical surface data

14th surface

κ = 0.000, A2 = 0.0000E+00, A4 = −8.03513e−05, A6 = −1.67633e−06,

A8 = 9.30749e−08, A10 = −1.83760e−09

16th surface

κ = 0.000, A2 = 0.0000E+00, A4 = −8.77784e−05, A6 = −1.01116e−06,

A8 = 5.64180e−08, A10 = −2.23368e−09, A12 = 3.59187e−11

22nd surface

κ = 0.000, A2 = 0.0000E+00, A4 = −2.17277e−04, A6 = 5.36299e−06,

A8 = −5.28517e−07, A10 = 1.10330e−08, A12 = −1.37250e−10

23rd surface

κ = 0.000, A2 = 0.0000E+00, A4 = −1.09771e−04, A6 = 5.91402e−06,

A8 = −5.09130e−07, A10 = 8.38419e−09, A12 = −4.36735e−11

28th surface

κ = 0.000, A2 = 0.0000E+00, A4 = 6.78553e−04, A6 = −1.66161e−05,

A8 = −1.54939e−06, A10 = 2.20507e−08

29th surface

κ = 0.000, A2 = 0.0000E+00, A4 = 1.05976e−03, A6 = −1.53037e−05,

A8 = −3.28541e−06, A10 = 7.26883e−08

Various data

Zoom ratio 19.92

Wide angle
Intermediate
Telephoto

Focal length
4.67
20.84
93.13

Fno.
2.85
4.40
5.15

Angle of field 2ω
77.78
19.19
4.33

Image height
3.6
3.6
3.6

Lens total length
81.99
100.29
118.08

BF
4.76
4.75
4.75

d6
1.00
19.61
37.43

d14
25.51
8.65
2.30

d23
1.67
16.59
27.97

d27
4.63
6.26
1.20

Entrance pupil position
19.80
72.63
304.09

Exit pupil position A
−31.58
−128.41
−1571.95

Exit pupil position B
−36.34
−133.16
−1576.70

Front side principal
23.87
90.21
391.72

point position

Back side principal
−3.64
−19.82
−92.11

point position

Single lens data

Lens
Initial surface
focal length

L1
1
123.64

L2
3
−78.59

L3
4
291.02

L4
5
53.47

L5
7
−9.97

L6
9
−11.00

L7
10
8.81E+04

L8
11
8.73

L9
13
−15.98

L10
16
16.37

L11
18
−21.01

L12
20
20.08

L13
22
−222.23

L14
24
33.38

L15
25
8.13E+06

L16
26
−57.61

L17
28
87.85

Zoom lens group data

Front side
Back side

Lens
principal
principal

Initial

structure
point
point

Unit
surface
Focal length
length
position
position

1
1
59.5217
10.1420
−0.4561
−6.4724

2
7
−6.9701
13.5160
1.9002
−7.0261

3
15
16.8268
15.6380
2.1560
−9.3421

4
24
73.7783
3.5080
−2.0985
−4.2304

5
28
87.8520
6.7160
0.7294
−4.0624

Lens
Wide angle
Intermediate
Telephoto

Unit
surface
Magnification
Magnification
Magnification

1
1
0.0000
0.0000
0.0000

2
7
−0.1614
−0.2837
−1.0326

3
15
−0.6482
−1.6910
−1.9072

4
24
0.7967
0.7748
0.8434

5
28
0.9420
0.9421
0.9421

Example 23

Unit mm

Surface data

effective

Surface no.
r
d
nd
νd
radius

Object plane
∞
∞

1
59.000
1.79
1.80810
22.76
18.20

2
31.331
1.28
1.63336
23.36
16.26

3
39.158
4.66
1.49700
81.54
16.14

4
101891.855
0.10

15.50

5
34.060
3.31
1.64000
60.08
14.35

6
114.503
Variable

14.00

7
63.862
1.10
1.88300
40.76
9.33

8
7.573
4.79

6.51

9
−46.254
0.80
1.88300
40.76
6.42

10
12.396
0.01
1.51400
42.83
6.42

11
12.396
4.87
1.78472
25.68
6.43

12
−12.684
1.15

6.47

13
−11.499
0.80
1.77250
49.60
5.70

14*
−239.828
Variable

5.74

15(stop)
∞
1.30

3.94

16*
10.743
4.93
1.58913
61.14
4.59

17
−78.051
0.10

4.60

18
28.041
2.77
1.84666
23.78
4.57

19
10.632
1.42

4.27

20
14.230
3.12
1.49700
81.54
4.53

21
−36.985
0.64

4.58

22*
80.887
1.36
1.53071
55.69
4.55

23*
34.607
Variable

4.55

24
19.130
2.68
1.49700
81.54
4.80

25
−119.090
0.01
1.51400
42.83
4.68

26
−119.090
0.82
1.80400
46.57
4.68

27
76.031
Variable

4.63

28*
147.374
1.63
1.53071
55.69
4.13

29*
−67.939
1.09

4.05

30
∞
4.00
1.51680
64.20
3.99

31
∞
0.97

3.84

Image plane
∞

Aspherical surface data

14th surface

κ = 0.000

A2 = 0.0000E+00, A4 = −9.19823e−05, A6 = −8.80923e−07,

A8 = 4.39702e−08, A10 = −1.24247e−09

16th surface

κ = 0.000

A2 = 0.0000E+00, A4 = −8.77784e−05, A6 = −1.01116e−06,

A8 = 5.64180e−08, A10 = −2.23368e−09, A12 = 3.59187e−11

22nd surface

κ = 0.000

A2 = 0.0000E+00, A4 = −2.17277e−04, A6 = 5.36299e−06,

A8 = −5.28517e−07, A10 = 1.10330e−08, A12 = −1.37250e−10

23rd surface

κ = 0.000

A2 = 0.0000E+00, A4 = −1.09771e−04, A6 = 5.91402e−06,

A8 = −5.09130e−07, A10 = 8.38419e−09, A12 = −4.36735e−11

28th surface

κ = 0.000

A2 = 0.0000E+00, A4 = 8.15873e−04, A6 = 4.82675e−06,

A8 = −2.20386e−06, A10 = 4.10510e−08

29th surface

κ = 0.000

A2 = 0.0000E+00, A4 = 1.26016e−03, A6 = 1.60282e−05,

A8 = −3.90922e−06, A10 = 7.56282e−08

Various data

Zoom ratio 19.87

Wide angle
Intermediate
Telephoto

Focal length
4.68
19.29
92.90

Fno.
2.70
3.82
4.00

Angle of field 2ω
77.39
20.56
4.33

Image height
3.6
3.6
3.6

Lens total length
84.77
101.03
112.41

BF
4.70
4.69
4.70

d6
1.00
20.41
37.78

d14
26.39
10.44
2.30

d23
1.27
7.49
7.58

d27
5.98
12.56
14.63

Entrance pupil position
19.71
75.82
340.35

Exit pupil position A
−31.43
−70.07
−77.54

Exit pupil position B
−36.13
−74.76
−82.24

Front side principal
23.78
90.13
328.31

point position

Back side principal
−3.70
−18.33
−91.92

point position

Single lens data

Lens
Initial surface
focal length

L1
1
−85.13

L2
2
232.73

L3
3
78.82

L4
5
74.56

L5
7
−9.82

L6
9
−11.00

L7
10
8.81E+04

L8
11
8.73

L9
13
−15.66

L10
16
16.37

L11
18
−21.82

L12
20
21.10

L13
22
−115.14

L14
24
33.38

L15
25
8.13E+06

L16
26
−57.61

L17
28
87.85

Zoom lens group data

Front side
Back side

Lens
principal
principal

Initial

structure
point
point

Unit
surface
Focal length
length
position
position

1
1
56.2753
11.1418
2.4952
−4.5895

2
7
−6.7699
13.5160
1.9676
−6.9046

3
15
17.5094
15.6380
1.3398
−9.7238

4
24
73.7783
3.5080
−2.0985
−4.2304

5
28
87.8520
6.7160
0.7294
−4.0624

Lens
Wide angle
Intermediate
Telephoto

Unit
surface
Magnification
Magnification
Magnification

1
1
0.0000
0.0000
0.0000

2
7
−0.1614
−0.3004
−1.3104

3
15
−0.7007
−1.7540
−2.0181

4
24
0.7794
0.6902
0.6621

5
28
0.9427
0.9427
0.9427

Example 24

Unit mm

Surface data

effective

Surface no.
r
d
nd
νd
radius

Object plane
∞
∞

1
60.982
5.35
1.64850
53.02
24.00

2
495.744
0.19

23.38

3
31.172
1.28
1.92286
18.90
17.70

4
22.227
1.77
1.63387
23.38
16.35

5
26.877
5.23
1.49700
81.54
16.31

6
101.913
Variable

16.00

7
303.814
1.10
1.88300
40.76
9.68

8
8.312
4.79

6.82

9
−46.254
0.80
1.88300
40.76
6.71

10
12.396
0.01
1.51400
42.83
6.69

11
12.396
4.87
1.78472
25.68
6.69

12
−12.684
1.15

6.72

13
−11.499
0.80
1.77250
49.60
5.72

14*
−230.432
Variable

5.72

15(stop)
∞
1.30

3.39

16*
10.743
4.93
1.58913
61.14
3.96

17
−78.051
0.10

4.06

18
28.041
2.77
1.84666
23.78
4.07

19
10.295
1.42

3.87

20
12.826
3.12
1.49700
81.54
4.21

21
−36.985
0.64

4.29

22*
39.207
1.36
1.53071
55.69
4.29

23*
33.196
Variable

4.28

24
19.130
2.68
1.49700
81.54
4.60

25
−119.090
0.01
1.51400
42.83
4.47

26
−119.090
0.82
1.80400
46.57
4.47

27
76.031
Variable

4.41

28*
147.374
1.63
1.53071
55.69
4.17

29*
−67.939
1.09

4.09

30
∞
4.00
1.51680
64.20
4.02

31
∞
1.05

3.85

Image plane
∞

Aspherical surface data

14th surface

κ = 0.000

A2 = 0.0000E+00, A4 = −7.99095e−05, A6 = −9.37486e−07,

A8 = 4.32991e−08, A10 = −1.00218e−09

16th surface

κ = 0.000

A2 = 0.0000E+00, A4 = −8.77784e−05, A6 = −1.01116e−06,

A8 = 5.64180e−08, A10 = −2.23368e−09, A12 = 3.59187e−11

22nd surface

κ = 0.000

A2 = 0.0000E+00, A4 = −2.17277e−04, A6 = 5.36299e−06,

A8 = −5.28517e−07, A10 = 1.10330e−08, A12 = −1.37250e−10

23rd surface

κ = 0.000

A2 = 0.0000E+00, A4 = −1.09771e−04, A6 = 5.91402e−06,

A8 = −5.09130e−07, A10 = 8.38419e−09, A12 = −4.36735e−11

28th surface

κ = 0.000

A2 = 0.0000E+00, A4 = 8.15873e−04, A6 = 4.82675e−06,

A8 = −2.20386e−06, A10 = 4.10510e−08

29th surface

κ = 0.000

A2 = 0.0000E+00, A4 = 1.26016e−03, A6 = 1.60282e−05,

A8 = −3.90922e−06, A10 = 7.56282e−08

Various data

Zoom ratio 17.36

Wide angle
Intermediate
Telephoto

Focal length
4.86
20.12
84.44

Fno.
2.83
4.26
5.31

Angle of field 2ω
75.01
19.69
4.72

Image height
3.6
3.6
3.6

Lens total length
84.06
98.77
118.56

BF
4.78
4.67
4.67

d6
1.00
16.79
33.06

d14
24.28
7.94
2.30

d23
1.62
13.90
29.38

d27
4.26
7.36
1.04

Entrance pupil position
24.63
73.25
271.77

Exit pupil position A
−31.43
−104.20
3257.46

Exit pupil position B
−36.21
−108.87
3252.79

Front side principal
28.84
89.66
358.40

point position

Back side principal
−3.81
−19.17
−83.49

point position

Single lens data

Lens
Initial surface
focal length

L1
1
106.71

L2
3
−90.15

L3
4
176.57

L4
5
71.79

L5
7
−9.69

L6
9
−11.00

L7
10
8.81E+04

L8
11
8.73

L9
13
−15.69

L10
16
16.37

L11
18
−20.69

L12
20
19.57

L13
22
−442.74

L14
24
33.38

L15
25
8.13E+06

L16
26
−57.61

L17
28
87.85

Zoom lens group data

Front side
Back side

Lens
principal
principal

Initial

structure
point
point

Unit
surface
Focal length
length
position
position

1
1
58.8815
13.8227
−1.3148
−9.6007

2
7
−6.7026
13.5160
1.8901
−6.9662

3
15
16.3471
15.6380
2.4850
−9.1335

4
24
73.7783
3.5080
−2.0985
−4.2304

5
28
87.8520
6.7160
0.7294
−4.0624

Lens
Wide angle
Intermediate
Telephoto

Unit
surface
Magnification
Magnification
Magnification

1
1
0.0000
0.0000
0.0000

2
7
−0.1689
−0.2804
−0.8784

3
15
−0.6482
−1.6981
−2.0449

4
24
0.8014
0.7610
0.8466

5
28
0.9418
0.9430
0.9430

Example 25

Unit mm

Surface data

effective

Surface no.
r
d
nd
νd
radius

Object plane
∞
∞

1
60.578
3.83
1.49700
81.54
18.70

2
1959.863
0.10

18.64

3
44.600
1.01
1.82114
24.06
15.50

4
24.534
0.78
1.67000
20.00
14.71

5
27.767
4.49
1.69350
53.21
14.69

6
126.235
Variable

14.45

7
139.991
1.10
1.88300
40.76
9.75

8
8.467
4.79

6.96

9
−46.254
0.80
1.88300
40.76
6.87

10
12.396
0.01
1.51400
42.83
6.85

11
12.396
4.87
1.78472
25.68
6.86

12
−12.684
1.15

6.88

13
−11.499
0.80
1.77250
49.60
5.80

14*
−133.624
Variable

5.79

15(stop)
∞
1.30

3.48

16*
10.743
4.93
1.58913
61.14
4.03

17
−78.051
0.10

4.09

18
28.041
2.77
1.84666
23.78
4.08

19
10.494
1.42

3.85

20
13.584
3.12
1.49700
81.54
4.13

21
−36.985
0.64

4.19

22*
90.159
1.36
1.53071
55.69
4.18

23*
47.692
Variable

4.19

24
19.130
2.68
1.49700
81.54
4.65

25
−119.090
0.01
1.51400
42.83
4.52

26
−119.090
0.82
1.80400
46.57
4.52

27
76.031
Variable

4.47

28*
147.374
1.63
1.53071
55.69
4.20

29*
−67.939
1.09

4.22

30
∞
4.00
1.51680
64.20
4.11

31
∞
0.97

3.87

Image plane
∞

Aspherical surface data

14th surface

κ = 0.000

A2 = 0.0000E+00, A4 = −7.27292e−05, A6 = −1.76848e−06,

A8 = 1.00411e−07, A10 = −1.83590e−09

16th surface

κ = 0.000

A2 = 0.0000E+00, A4 = −8.77784e−05, A6 = −1.01116e−06,

A8 = 5.64180e−08, A10 = −2.23368e−09, A12 = 3.59187e−11

22nd surface

κ = 0.000

A2 = 0.0000E+00, A4 = −2.17277e−04, A6 = 5.36299e−06,

A8 = −5.28517e−07, A10 = 1.10330e−08, A12 = −1.37250e−10

23rd surface

κ = 0.000

A2 = 0.0000E+00, A4 = −1.09771e−04, A6 = 5.91402e−06,

A8 = −5.09130e−07, A10 = 8.38419e−09, A12 = −4.36735e−11

28th surface

κ = 0.000

A2 = 0.0000E+00, A4 = 7.47669e−04, A6 = −3.76060e−05,

A8 = −7.34892e−07, A10 = 1.04035e−08

29th surface

κ = 0.000

A2 = 0.0000E+00, A4 = 1.22156e−03, A6 = −4.89870e−05,

A8 = −1.82037e−06, A10 = 5.14864e−08

Various data

Zoom ratio 19.90

Wide angle
Intermediate
Telephoto

Focal length
4.68
19.85
93.09

Fno.
2.85
4.45
5.18

Angle of field 2ω
78.27
20.06
4.31

Image height
3.6
3.6
3.6

Lens total length
82.56
99.88
120.82

BF
4.70
4.74
4.73

d6
1.00
18.90
40.08

d14
26.12
8.56
2.30

d23
1.59
16.58
27.97

d27
4.66
6.60
1.25

Entrance pupil position
19.80
65.20
312.38

Exit pupil position A
−31.19
−128.84
−1443.88

Exit pupil position B
−35.88
−133.58
−1448.62

Front side principal
23.87
82.10
399.49

point position

Back side principal
−3.71
−18.83
−92.08

point position

Single lens data

Lens
Initial surface
focal length

L1
1
125.69

L2
3
−67.96

L3
4
286.94

L4
5
50.39

L5
7
−10.25

L6
9
−11.00

L7
10
8.81E+04

L8
11
8.73

L9
13
−16.33

L10
16
16.37

L11
18
−21.35

L12
20
20.41

L13
22
−192.93

L14
24
33.38

L15
25
8.13E+06

L16
26
−57.61

L17
28
87.85

Zoom lens group data

Front side
Back side

Lens
principal
principal

Initial

structure
point
point

Unit
surface
Focal length
length
position
position

1
1
62.9060
10.2044
−0.1488
−6.3375

2
7
−7.2621
13.5160
1.8474
−7.1449

3
15
16.9381
15.6380
2.0302
−9.4078

4
24
73.7783
3.5080
−2.0985
−4.2304

5
28
87.8520
6.7160
0.7294
−4.0624

Lens
Wide angle
Intermediate
Telephoto

Unit
surface
Magnification
Magnification
Magnification

1
1
0.0000
0.0000
0.0000

2
7
−0.1563
−0.2543
−0.9836

3
15
−0.6330
−1.7097
−1.8942

4
24
0.7973
0.7702
0.8429

5
28
0.9427
0.9422
0.9423

Example 26

Unit mm

Surface data

effective

Surface no.
r
d
nd
νd
radius

Object plane
∞
∞

1
62.273
3.78
1.49700
81.54
18.70

2
2204.309
0.10

18.81

3
43.400
1.00
1.90680
21.15
15.50

4
24.822
0.83
1.73000
15.00
14.72

5
28.504
4.49
1.69100
54.82
14.71

6
158.244
Variable

14.48

7
179.385
1.10
1.88300
40.76
9.76

8
8.634
4.79

7.01

9
−46.254
0.80
1.88300
40.76
6.91

10
12.396
0.01
1.51400
42.83
6.89

11
12.396
4.87
1.78472
25.68
6.89

12
−12.684
1.15

6.91

13
−11.499
0.80
1.77250
49.60
5.76

14*
−124.597
Variable

5.74

15(stop)
∞
1.30

3.48

16*
10.743
4.93
1.58913
61.14
4.03

17
−78.051
0.10

4.08

18
28.041
2.77
1.84666
23.78
4.08

19
10.545
1.42

3.85

20
13.646
3.12
1.49700
81.54
4.12

21
−36.985
0.64

4.18

22*
84.725
1.36
1.53071
55.69
4.17

23*
42.613
Variable

4.17

24
19.130
2.68
1.49700
81.54
4.61

25
−119.090
0.01
1.51400
42.83
4.48

26
−119.090
0.82
1.80400
46.57
4.48

27
76.031
Variable

4.43

28*
147.374
1.63
1.53071
55.69
4.18

29*
−67.939
1.09

4.26

30
∞
4.00
1.51680
64.20
4.13

31
∞
0.97

3.88

Image plane
∞

Aspherical surface data

14th surface

κ = 0.000

A2 = 0.0000E+00, A4 = −6.87584e−05, A6 = −1.78351e−06,

A8 = 9.24419e−08, A10 = −1.58208e−09

16th surface

κ = 0.000

A2 = 0.0000E+00, A4 = −8.77784e−05, A6 = −1.01116e−06,

A8 = 5.64180e−08, A10 = −2.23368e−09, A12 = 3.59187e−11

22nd surface

κ = 0.000

A2 = 0.0000E+00, A4 = −2.17277e−04, A6 = 5.36299e−06,

A8 = −5.28517e−07, A10 = 1.10330e−08, A12 = −1.37250e−10

23rd surface

κ = 0.000

A2 = 0.0000E+00, A4 = −1.09771e−04, A6 = 5.91402e−06,

A8 = −5.09130e−07, A10 = 8.38419e−09, A12 = −4.36735e−11

28th surface

κ = 0.000

A2 = 0.0000E+00, A4 = 6.11134e−04, A6 = −4.92865e−05,

A8 = −5.05949e−07, A10 = 2.19323e−09

29th surface

κ = 0.000, A2 = 0.0000E+00, A4 = 1.09149e−03, A6 = −6.84436e−05,

A8 = −1.26590e−06, A10 = 4.63882e−08

Various data

Zoom ratio 19.80

Wide angle
Intermediate
Telephoto

Focal length
4.70
21.07
92.95

Fno.
2.87
4.50
5.22

Angle of field 2ω
77.84
18.91
4.31

Image height
3.6
3.6
3.6

Lens total length
82.94
100.13
120.10

BF
4.69
4.70
4.70

d6
1.00
19.36
39.43

d14
26.54
8.04
2.30

d23
1.58
14.90
27.96

d27
4.65
8.67
1.22

Entrance pupil position
19.80
67.28
303.89

Exit pupil position A
−30.80
−116.62
−1286.31

Exit pupil position B
−35.49
−121.32
−1291.01

Front side principal
23.87
84.69
390.16

point position

Back side principal
−3.73
−20.10
−91.98

point position

Single lens data

Lens
Initial surface
focal length

L1
1
128.87

L2
3
−65.62

L3
4
240.41

L4
5
49.61

L5
7
−10.30

L6
9
−11.00

L7
10
8.81E+04

L8
11
8.73

L9
13
−16.45

L10
16
16.37

L11
18
−21.52

L12
20
20.48

L13
22
−163.38

L14
24
33.38

L15
25
8.13E+06

L16
26
−57.61

L17
28
87.85

Zoom lens group data

Front side
Back side

Lens
principal
principal

Initial

structure
point
point

Unit
surface
Focal length
length
position
position

1
1
62.0750
10.1939
0.0124
−6.1538

2
7
−7.3388
13.5160
1.8236
−7.1887

3
15
17.0107
15.6380
1.8824
−9.4664

4
24
73.7783
3.5080
−2.0985
−4.2304

5
28
87.8520
6.7160
0.7294
−4.0624

Lens
Wide angle
Intermediate
Telephoto

Unit
surface
Magnification
Magnification
Magnification

1
1
0.0000
0.0000
0.0000

2
7
−0.1604
−0.2678
−1.0014

3
15
−0.6274
−1.8095
−1.8801

4
24
0.7975
0.7430
0.8438

5
28
0.9427
0.9427
0.9427

Example 27

Unit mm

Surface data

effective

Surface no.
r
d
nd
νd
radius

Object plane
∞
∞

1
59.200
3.83
1.49700
81.54
18.70

2
2576.346
0.10

18.48

3
38.400
0.96
1.90680
21.15
15.50

4
23.902
0.77
1.70010
17.01
14.69

5
27.142
4.40
1.69400
56.30
14.68

6
112.392
Variable

14.44

7
124.140
1.10
1.88300
40.76
9.63

8
8.143
4.79

6.79

9
−46.254
0.80
1.88300
40.76
6.71

10
12.396
0.01
1.51400
42.83
6.70

11
12.396
4.87
1.78472
25.68
6.70

12
−12.684
1.15

6.74

13
−11.499
0.80
1.77250
49.60
5.81

14*
−141.904
Variable

5.83

15(stop)
∞
1.30

3.48

16*
10.743
4.93
1.58913
61.14
4.03

17
−78.051
0.10

4.09

18
28.041
2.77
1.84666
23.78
4.09

19
10.545
1.42

3.85

20
13.731
3.12
1.49700
81.54
4.14

21
−36.985
0.64

4.20

22*
81.603
1.36
1.53071
55.69
4.19

23*
44.028
Variable

4.19

24
19.130
2.68
1.49700
81.54
4.62

25
−119.090
0.01
1.51400
42.83
4.50

26
−119.090
0.82
1.80400
46.57
4.50

27
76.031
Variable

4.45

28*
147.374
1.63
1.53071
55.69
4.18

29*
−67.939
1.09

4.22

30
∞
4.00
1.51680
64.20
4.11

31
∞
1.00

3.87

Image plane
∞

Aspherical surface data

14th surface

κ = 0.000

A2 = 0.0000E+00, A4 = −8.03282e−05, A6 = −9.82748e−07,

A8 = 4.48510e−08, A10 = −9.57444e−10

16th surface

κ = 0.000

A2 = 0.0000E+00, A4 = −8.77784e−05, A6 = −1.01116e−06,

A8 = 5.64180e−08, A10 = −2.23368e−09, A12 = 3.59187e−11

22nd surface

κ = 0.000

A2 = 0.0000E+00, A4 = −2.17277e−04, A6 = 5.36299e−06,

A8 = −5.28517e−07, A10 = 1.10330e−08, A12 = −1.37250e−10

23rd surface

κ = 0.000

A2 = 0.0000E+00, A4 = −1.09771e−04, A6 = 5.91402e−06,

A8 = −5.09130e−07, A10 = 8.38419e−09, A12 = −4.36735e−11

28th surface

κ = 0.000

A2 = 0.0000E+00, A4 = 1.07507e−03, A6 = −8.98397e−05,

A8 = 3.30252e−06, A10 = −1.03838e−07

29th surface

κ = 0.000

A2 = 0.0000E+00, A4 = 1.64800e−03, A6 = −1.03700e−04,

A8 = 1.95605e−06, A10 = −5.18968e−08

Various data

Zoom ratio 19.40

Wide angle
Intermediate
Telephoto

Focal length
4.75
21.05
92.07

Fno.
2.88
4.49
5.39

Angle of field 2ω
76.84
18.92
4.35

Image height
3.6
3.6
3.6

Lens total length
82.20
98.86
118.20

BF
4.72
4.70
4.70

d6
1.00
18.05
35.85

d14
25.71
8.05
2.30

d23
1.57
14.67
29.76

d27
4.85
9.04
1.25

Entrance pupil position
19.80
66.10
277.19

Exit pupil position A
−31.32
−116.75
3184.27

Exit pupil position B
−36.05
−121.45
3179.56

Front side principal
23.92
83.50
371.92

point position

Back side principal
−3.75
−20.07
−91.09

point position

Single lens data

Lens
Initial surface
focal length

L1
1
121.85

L2
3
−72.08

L3
4
260.52

L4
5
50.49

L5
7
−9.91

L6
9
−11.00

L7
10
8.81E+04

L8
11
8.73

L9
13
−16.24

L10
16
16.37

L11
18
−21.52

L12
20
20.57

L13
22
−182.46

L14
24
33.38

L15
25
8.13E+06

L16
26
−57.61

L17
28
87.85

Zoom lens group data

Front side
Back side

Lens
principal
principal

Initial

structure
point
point

Unit
surface
Focal length
length
position
position

1
1
57.9678
10.0525
−0.1804
−6.2322

2
7
−7.0320
13.5160
1.8345
−7.1369

3
15
16.9660
15.6380
1.9601
−9.4347

4
24
73.7783
3.5080
−2.0985
−4.2304

5
28
87.8520
6.7160
0.7294
−4.0624

Lens
Wide angle
Intermediate
Telephoto

Unit
surface
Magnification
Magnification
Magnification

1
1
0.0000
0.0000
0.0000

2
7
−0.1680
−0.2833
−1.0020

3
15
−0.6511
−1.8427
−1.9939

4
24
0.7943
0.7378
0.8434

5
28
0.9424
0.9427
0.9426

Example 28

Unit mm

Surface data

effective

Surface no.
r
d
nd
νd
radius

Object plane
∞
∞

1
60.430
4.03
1.49700
81.54
18.70

2
3560.059
0.10

19.11

3
37.900
1.14
1.94595
17.98
15.50

4
24.736
0.73
1.69952
16.99
14.71

5
27.816
4.15
1.72000
43.69
14.69

6
93.987
Variable

14.43

7
96.799
1.10
1.88300
40.76
9.61

8
8.027
4.79

6.69

9
−46.254
0.80
1.88300
40.76
6.54

10
12.396
0.01
1.51400
42.83
6.47

11
12.396
4.87
1.78472
25.68
6.47

12
−12.684
1.15

6.48

13
−11.499
0.80
1.77250
49.60
5.45

14*
−173.275
Variable

5.40

15(stop)
∞
1.30

3.48

16*
10.743
4.93
1.58913
61.14
4.04

17
−78.051
0.10

4.10

18
28.041
2.77
1.84666
23.78
4.10

19
10.392
1.42

3.87

20
13.283
3.12
1.49700
81.54
4.16

21
−36.985
0.64

4.23

22*
77.099
1.36
1.53071
55.69
4.22

23*
46.336
Variable

4.22

24
19.130
2.68
1.49700
81.54
4.67

25
−119.090
0.01
1.51400
42.83
4.54

26
−119.090
0.82
1.80400
46.57
4.54

27
76.031
Variable

4.49

28*
147.374
1.63
1.53071
55.69
4.23

29*
−67.939
1.09

4.23

30
∞
4.00
1.51680
64.20
4.12

31
∞
1.03

3.88

Image plane
∞

Aspherical surface data

14th surface

κ = 0.000

A2 = 0.0000E+00, A4 = −8.03513e−05, A6 = −1.67633e−06,

A8 = 9.30749e−08, A10 = −1.83760e−09

16th surface

κ = 0.000

A2 = 0.0000E+00, A4 = −8.77784e−05, A6 = −1.01116e−06,

A8 = 5.64180e−08, A10 = −2.23368e−09, A12 = 3.59187e−11

22nd surface

κ = 0.000

A2 = 0.0000E+00, A4 = −2.17277e−04, A6 = 5.36299e−06,

A8 = −5.28517e−07, A10 = 1.10330e−08, A12 = −1.37250e−10

23rd surface

κ = 0.000

A2 = 0.0000E+00, A4 = −1.09771e−04, A6 = 5.91402e−06,

A8 = −5.09130e−07, A10 = 8.38419e−09, A12 = −4.36735e−11

28th surface

κ = 0.000

A2 = 0.0000E+00, A4 = 6.78553e−04, A6 = −1.66161e−05,

A8 = −1.54939e−06, A10 = 2.20507e−08

29th surface

κ = 0.000

A2 = 0.0000E+00, A4 = 1.05976e−03, A6 = −1.53037e−05,

A8 = −3.28541e−06, A10 = 7.26883e−08

Various data

Zoom ratio 19.92

Wide angle
Intermediate
Telephoto

Focal length
4.67
20.84
93.13

Fno.
2.85
4.40
5.15

Angle of field 2ω
77.78
19.19
4.33

Image height
3.6
3.6
3.6

Lens total length
81.99
100.29
118.08

BF
4.76
4.75
4.75

d6
1.00
19.61
37.43

d14
25.51
8.65
2.30

d23
1.67
16.59
27.97

d27
4.63
6.26
1.20

Entrance pupil position
19.80
72.63
304.09

Exit pupil position A
−31.58
−128.41
−1571.95

Exit pupil position B
−36.34
−133.16
−1576.70

Front side principal
23.87
90.21
391.72

point position

Back side principal
−3.64
−19.82
−92.11

point position

Single lens data

Lens
Initial surface
focal length

L1
1
123.64

L2
3
−78.59

L3
4
291.02

L4
5
53.47

L5
7
−9.97

L6
9
−11.00

L7
10
8.81E+04

L8
11
8.73

L9
13
−15.98

L10
16
16.37

L11
18
−21.01

L12
20
20.08

L13
22
−222.23

L14
24
33.38

L15
25
8.13E+06

L16
26
−57.61

L17
28
87.85

Zoom lens group data

Front side
Back side

Lens
principal
principal

Initial

structure
point
point

Unit
surface
Focal length
length
position
position

1
1
59.5217
10.1420
−0.4561
−6.4724

2
7
−6.9701
13.5160
1.9002
−7.0261

3
15
16.8268
15.6380
2.1560
−9.3421

4
24
73.7783
3.5080
−2.0985
−4.2304

5
28
87.8520
6.7160
0.7294
−4.0624

Lens
Wide angle
Intermediate
Telephoto

Unit
surface
Magnification
Magnification
Magnification

1
1
0.0000
0.0000
0.0000

2
7
−0.1614
−0.2837
−1.0326

3
15
−0.6482
−1.6910
−1.9072

4
24
0.7967
0.7748
0.8434

5
28
0.9420
0.9421
0.9421

Example 29

Unit mm

Surface data

effective

Surface no.
r
d
nd
νd
radius

Object plane
∞
∞

1
59.751
3.90
1.49700
81.54
18.70

2
2203.377
0.10

18.75

3
41.900
1.11
1.90680
21.15
15.50

4
25.678
0.80
1.63336
23.36
14.74

5
29.121
4.20
1.72000
46.02
14.71

6
119.744
Variable

14.47

7
129.746
1.10
1.88300
40.76
9.78

8
8.421
4.79

6.95

9
−46.254
0.80
1.88300
40.76
6.86

10
12.396
0.01
1.51400
42.83
6.84

11
12.396
4.87
1.78472
25.68
6.84

12
−12.684
1.15

6.86

13
−11.499
0.80
1.77250
49.60
5.75

14*
−149.795
Variable

5.72

15(stop)
∞
1.30

3.48

16*
10.743
4.93
1.58913
61.14
4.03

17
−78.051
0.10

4.08

18
28.041
2.77
1.84666
23.78
4.08

19
10.386
1.42

3.85

20
13.158
3.12
1.49700
81.54
4.14

21
−36.985
0.64

4.20

22*
87.274
1.36
1.53071
55.69
4.18

23*
44.424
Variable

4.18

24
19.130
2.68
1.49700
81.54
4.63

25
−119.090
0.01
1.51400
42.83
4.49

26
−119.090
0.82
1.80400
46.57
4.49

27
76.031
Variable

4.44

28*
147.374
1.63
1.53071
55.69
4.19

29*
−67.939
1.09

4.25

30
∞
4.00
1.51680
64.20
4.12

31
∞
0.97

3.88

Image plane
∞

Aspherical surface data

14th surface

κ = 0.000

A2 = 0.0000E+00, A4 = −7.22699e−05, A6 = −1.91912e−06,

A8 = 1.03329e−07, A10 = −1.85098e−09

16th surface

κ = 0.000

A2 = 0.0000E+00, A4 = −8.77784e−05, A6 = −1.01116e−06,

A8 = 5.64180e−08, A10 = −2.23368e−09, A12 = 3.59187e−11

22nd surface

κ = 0.000

A2 = 0.0000E+00, A4 = −2.17277e−04, A6 = 5.36299e−06,

A8 = −5.28517e−07, A10 = 1.10330e−08, A12 = −1.37250e−10

23rd surface

κ = 0.000

A2 = 0.0000E+00, A4 = −1.09771e−04, A6 = 5.91402e−06,

A8 = −5.09130e−07, A10 = 8.38419e−09, A12 = −4.36735e−11

28th surface

κ = 0.000

A2 = 0.0000E+00, A4 = 3.76463e−04, A6 = −9.67102e−06,

A8 = −2.04606e−06, A10 = 2.89575e−08

29th surface

κ = 0.000

A2 = 0.0000E+00, A4 = 7.08578e−04, A6 = −8.97430e−06,

A8 = −3.63292e−06, A10 = 8.09720e−08

Various data

Zoom ratio 19.87

Wide angle
Intermediate
Telephoto

Focal length
4.69
20.78
93.18

Fno.
2.86
4.46
5.20

Angle of field 2ω
77.60
19.19
4.31

Image height
3.6
3.6
3.6

Lens total length
82.58
99.94
119.10

BF
4.70
4.69
4.70

d6
1.00
19.14
38.41

d14
26.21
8.39
2.30

d23
1.59
15.72
28.02

d27
4.68
7.59
1.26

Entrance pupil position
19.80
68.12
301.49

Exit pupil position A
−31.13
−122.17
−1463.63

Exit pupil position B
−35.83
−126.86
−1468.33

Front side principal
23.88
85.50
388.75

Back side principal
−3.72
−19.81
−92.20

Single lens data

Lens
Initial surface
focal length

L1
1
123.50

L2
3
−75.60

L3
4
314.63

L4
5
52.42

L5
7
−10.24

L6
9
−11.00

L7
10
8.81E+04

L8
11
8.73

L9
13
−16.16

L10
16
16.37

L11
18
−20.99

L12
20
19.94

L13
22
−172.39

L14
24
33.38

L15
25
8.13E+06

L16
26
−57.61

L17
28
87.85

Zoom lens group data

Front side
Back side

Lens
principal
principal

Initial

structure
point
point

Unit
surface
Focal length
length
position
position

1
1
60.7680
10.1128
−0.1334
−6.2114

2
7
−7.1956
13.5160
1.8818
−7.0797

3
15
16.9487
15.6380
1.9918
−9.4149

4
24
73.7783
3.5080
−2.0985
−4.2304

5
28
87.8520
6.7160
0.7294
−4.0624

Lens
Wide angle
Intermediate
Telephoto

Unit
surface
Magnification
Magnification
Magnification

1
1
0.0000
0.0000
0.0000

2
7
−0.1618
−0.2732
−1.0183

3
15
−0.6350
−1.7527
−1.8946

4
24
0.7969
0.7575
0.8432

5
28
0.9427
0.9427
0.9426

Values of each of the embodiments are shown below.

Expression number
Conditional expression

(2)
|fG1/fG2|

(3-2), (3-3)
(Zb(3.3a) − Za(3.3a))/(Zb(2.5a) − Za(2.5a))

(4-3)
(Tnglw(0.7)/Tbasw(0.7))/(Tngl(0)/Tbas(0))

(5)
θhg_A

(6)
|f_B/f_A|

(7)
θgF_B− θgF_BA

(8)
f_A/fG1

(9)
(Ra + Rb)/(Ra − Rb)

(10-1a)
Tngl(0)/Tbas(0)

(10-1b)
Tnglt(0.7)/Tbast(0.7)

(10-1c)
Tnglt(0.9)/Tbast(0.9)

(10-2a)
(Tnglt(0.7)/Tbast(0.7))/(Tngl(0)/Tbas(0))

(10-2b)
(Tnglt(0.9)/Tbast(0.9))/(Tngl(0)/Tbas(0))

(11a)
(Tnglw(0.7)/(Tngl(0))

(11b)
(Tnglw(0.9)/(Tngl(0))

(12a)
(Tnglt(0.7)/(Tngl(0))

(12b)
(Tnglt(0.9)/(Tngl(0))

(13-1a)
Tngl(0)/Tbas(0)

(13-1b)
Tnglw(0.7)/Tbasw(0.7)

(13-1c)
Tnglw(0.9)/Tbasw(0.9)

(13-2)
(Tnglw(0.9)/Tbasw(0.9))/(Tngl(0)/Tbas(0))

(20)
0 < TG₄₅/WG₄₅< 5

(2)
(3-2), (3-3)
(4-3)
(5)
(6)

Example 1
8.29
0.7574
0.393
0.647
0.3560

Example 2
7.85
0.8271
0.438
0.647
0.2503

Example 3
8.04
0.7984
0.521
0.647
0.3333

Example 4
7.44
0.7708
0.480
0.647
0.3136

Example 5
8.25
0.7748
0.455
0.654
0.3372

Example 6
8.74
0.7821
0.453
0.695
0.3526

Example 7
8.70
0.7511
0.413
0.695
0.3659

Example 8
8.46
0.7869
0.452
0.695
0.3967

Example 9
8.18
0.7240
0.507
0.726
0.3683

Example 10
8.40
0.7629
0.407
0.812
0.3948

Example 11
8.29
0.8095
0.524
0.812
0.3801

Example 12
8.25
0.8431
0.577
0.900
0.3874

Example 13
8.38
0.8426
0.599
0.900
0.3893

Example 14
7.97
0.8072
0.562
0.900
0.3714

Example 15
8.35
0.8504
0.297
0.647
0.5084

Example 16
8.12
0.8722
0.164
0.654
0.4370

Example 17
8.15
0.7860
0.371
0.900
0.4944

Example 18
8.12
0.8924
0.566
0.900
0.4959

Example 19
8.78
0.8273
0.511
0.647
0.5105

Example 20
8.88
0.7060
0.485
0.647
0.2439

Example 21
8.24
0.6621
0.454
0.812
0.2767

Example 22
8.54
0.6675
0.512
0.900
0.2701

(7)
(8)
(9)

Example 1
0.0198
4.53
−9.74

Example 2
0.0182
6.04
−13.40

Example 3
0.0244
4.17
−8.99

Example 4
0.0223
4.53
−9.65

Example 5
0.0464
3.78
−8.95

Example 6
0.0776
3.30
−8.69

Example 7
0.0834
3.09
−8.13

Example 8
0.0847
2.83
−7.13

Example 9
0.0762
3.45
−8.46

Example 10
0.1259
2.73
−6.85

Example 11
0.1069
3.64
−8.61

Example 12
0.1269
4.68
−11.06

Example 13
0.1140
5.07
−12.29

Example 14
0.0947
4.09
−8.46

Example 15
0.0379
1.76
−0.98

Example 16
0.0621
1.72
−1.02

Example 17
0.1885
1.82
−1.02

Example 18
0.1798
2.93
−1.00

Example 19
0.0130
3.00
−10.56

Example 20
0.0157
5.11
−16.50

Example 21
0.0684
4.49
−15.75

Example 22
0.0651
4.89
−17.06

(10-1a)
(10-1b)
(10-1c)
(10-2a)
(10-2b)

Example 1
1.00
0.52
0.35
0.520
0.346

Example 2
0.97
0.53
0.37
0.545
0.385

Example 3
0.67
0.42
0.30
0.622
0.454

Example 4
0.53
0.29
0.18
0.540
0.346

Example 5
0.87
0.43
0.27
0.494
0.314

Example 6
0.93
0.39
0.22
0.423
0.241

Example 7
0.99
0.41
0.23
0.411
0.230

Example 8
1.08
0.53
0.34
0.491
0.312

Example 9
0.61
0.39
0.29
0.645
0.480

Example 10
1.22
0.56
0.35
0.461
0.285

Example 11
0.62
0.41
0.31
0.663
0.502

Example 12
0.49
0.36
0.29
0.726
0.583

Example 13
0.44
0.32
0.26
0.726
0.579

Example 14
0.53
0.36
0.28
0.684
0.525

Example 15
4.78
1.88
1.25
0.393
0.262

Example 16
7.98
2.06
1.24
0.258
0.156

Example 17
2.99
1.39
1.04
0.466
0.349

Example 18
1.38
1.02
0.85
0.737
0.619

Example 19
1.38
0.94
0.74
0.682
0.537

Example 20
0.72
0.37
0.24
0.513
0.337

Example 21
0.80
0.46
0.33
0.578
0.412

Example 22
0.64
0.38
0.26
0.585
0.412

(11a)
(11b)
(12a)
(12b)

Example 1
0.675
0.420
0.775
0.626

Example 2
0.759
0.568
0.829
0.717

Example 3
0.804
0.675
0.804
0.675

Example 4
0.680
0.428
0.727
0.544

Example 5
0.719
0.499
0.748
0.581

Example 6
0.733
0.528
0.706
0.509

Example 7
0.705
0.476
0.700
0.499

Example 8
0.722
0.507
0.752
0.585

Example 9
0.705
0.469
0.808
0.681

Example 10
0.700
0.467
0.744
0.573

Example 11
0.712
0.483
0.810
0.815

Example 12
0.724
0.503
0.837
0.730

Example 13
0.729
0.511
0.828
0.714

Example 14
0.719
0.494
0.812
0.687

Example 15
0.820
0.636
0.869
0.785

Example 16
0.784
0.550
0.867
0.774

Example 17
0.840
0.779
0.873
0.820

Example 18
0.810
0.583
0.897
0.827

Example 19
0.739
0.561
0.851
0.755

Example 20
0.753
0.570
0.765
0.610

Example 21
0.727
0.527
0.811
0.686

Example 22
0.741
0.547
0.789
0.649

(13-1a)
(13-1b)
(13-1c)
(13-2)
(20)

Example 1
1.00
0.39
0.18
0.185
2.736

Example 2
0.97
0.43
0.24
0.246
1.738

Example 3
0.67
0.35
0.20
0.301
1.165

Example 4
0.53
0.26
0.13
0.246
0.905

Example 5
0.87
0.40
0.21
0.246
1.442

Example 6
0.93
0.42
0.23
0.253
2.025

Example 7
0.99
0.41
0.21
0.212
2.098

Example 8
1.08
0.49
0.27
0.248
1.895

Example 9
0.61
0.31
0.17
0.277
2.242

Example 10
1.22
0.49
0.25
0.205
2.132

Example 11
0.62
0.33
0.18
0.296
2.392

Example 12
0.49
0.28
0.17
0.346
2.363

Example 13
0.44
0.27
0.16
0.369
2.264

Example 14
0.53
0.30
0.17
0.330
1.755

Example 15
4.78
1.42
0.71
0.148
1.938

Example 16
7.98
1.31
0.54
0.067
2.277

Example 17
2.99
1.11
0.77
0.257
2.164

Example 18
1.38
0.78
0.43
0.314
3.634

Example 19
1.38
0.70
0.44
0.320
0.244

Example 20
0.72
0.35
0.21
0.290
0.280

Example 21
0.80
0.36
0.21
0.262
0.258

Example 22
0.64
0.33
0.20
0.307
0.259

Values of each of the embodiments are shown below.

|fG1/fG2|>6.4 (2)

0<(Zb(3.3a)−Za(3.3a))/(Zb(2.5a)−Za(2.5a))<0.895 (3-2)

0.387<(Tnglw(0.7)/Tbasw(0.7))/(Tngl(0)/Tbas(0))<0.525 (4-3)

0.4<θhg_A<1.2 (5)

|f_B/f_A|>0.15 (6)

(2)
(3-2)
(4-3)
(5)
(6)

Example 23
8.31
0.7799
0.495
0.900
0.3658

Example 24
8.78
0.8273
0.511
0.647
0.5105

Example 25
8.66
0.6693
0.434
0.654
0.2368

Example 26
8.46
0.6663
0.441
0.726
0.2730

Example 27
8.24
0.6621
0.454
0.812
0.2767

Example 28
8.54
0.6675
0.512
0.900
0.2701

Example 29
8.45
0.7065
0.503
0.900
0.2403

0<θgF_B−θgF_BA<0.25 (7)

1.0<f_A/fG1<8.0 (8)

−25<(Ra+Rb)/(Ra−Rb)<−2 (9′)

(7)
(8)
(9′)

Example 23
0.1033
4.14
−9.01

Example 24
0.0130
3.00
−10.56

Example 25
0.0264
4.56
−16.18

Example 26
0.0600
3.87
−14.48

Example 27
0.0684
4.49
−15.75

Example 28
0.0651
4.89
−17.06

Example 29
0.0519
5.18
−15.92

0.3<Tngl(0)/Tbas(0)<3 (10-1a′)

0.2<Tnglt(0.7)/Tbast(0.7)<2.0 (10-1b′)

0.1<Tnglt(0.9)/Tbast(0.9)<1.4 (10-1c′)

0.2<(Tnglt(0.7)/Tbast(0.7))/(Tngl(0)/Tbas(0))<0.85 (10-2a′)

0.10<(Tnglt(0.9)/Tbast(0.9))/(Tngl(0)/Tbas(0))<0.75 (10-2b′)

(10-1a′)
(10-1b′)
(10-1c′)
(10-2a′)
(10-2b′)

Example 23
0.71
0.42
0.30
0.588
0.413

Example 24
1.38
0.94
0.74
0.682
0.537

Example 25
0.77
0.38
0.25
0.497
0.325

Example 26
0.83
0.43
0.29
0.520
0.346

Example 27
0.80
0.46
0.33
0.578
0.412

Example 28
0.64
0.38
0.26
0.585
0.412

Example 29
0.72
0.42
0.30
0.582
0.414

0.5<(Tnglw(0.7)/(Tngl(0))<0.95 (11a)

0.3<(Tnglw(0.9)/(Tngl(0))<0.85 (11b′)

0.5<(Tnglt(0.7)/(Tngl(0))<0.95 (12a)

0.3<(Tnglt(0.9)/(Tngl(0))<0.9 (12b)

(11a)
(11b′)
(12a)
(12b)

Example 23
0.714
0.487
0.783
0.639

Example 24
0.739
0.561
0.851
0.755

Example 25
0.736
0.541
0.776
0.627

Example 26
0.730
0.530
0.783
0.638

Example 27
0.727
0.527
0.811
0.686

Example 28
0.741
0.547
0.789
0.649

Example 29
0.758
0.576
0.806
0.678

0.3<Tngl(0)/Tbas(0)<2.5 (13-1a′)

0.15<Tnglw(0.7)/Tbasw(0.7)<1.4 (13-1b′)

0<Tnglw(0.9)/Tbasw(0.9)<0.7 (13-1c′)

0<(Tnglw(0.9)/Tbasw(0.9))/(Tngl(0)/Tbas(0))<0.5 (13-2)

0<TG₄₅/WG₄₅<5 (20)

(13-1a′)
(13-1b′)
(13-1c′)
(13-2)
(20)

Example 23
0.71
0.35
0.19
0.273
2.448

Example 24
1.38
0.70
0.44
0.320
0.244

Example 25
0.77
0.33
0.19
0.245
0.268

Example 26
0.83
0.36
0.20
0.247
0.263

Example 27
0.80
0.36
0.21
0.262
0.258

Example 28
0.64
0.33
0.20
0.307
0.259

Example 29
0.72
0.36
0.22
0.305
0.270

Thus, it is possible to use such image forming optical system of the present invention in a photographic apparatus in which an image of an object is photographed by an electronic image pickup element such as a CCD and a CMOS, particularly a digital camera and a video camera, a personal computer, a telephone, and a portable terminal which are examples of an information processing unit, particularly a portable telephone which is easy to carry. Embodiments thereof will be exemplified below.

In FIG. 59 to FIG. 61 show conceptual diagrams of structures in which the image forming optical system according to the present invention is incorporated in a photographic optical system 41 of a digital camera. FIG. 59 is a frontward perspective view showing an appearance of a digital camera 40, FIG. 60 is a rearward perspective view of the same, and FIG. 61 is a cross-sectional view showing an optical arrangement of the digital camera 40.

The digital camera 40, in a case of this example, includes the photographic optical system 41 (an objective optical system for photography 48) having an optical path for photography 42, a finder optical system 43 having an optical path for finder 44, a shutter 45, a flash 46, and a liquid-crystal display monitor 47. Moreover, when the shutter 45 disposed at an upper portion of the camera 40 is pressed, in conjugation with this, a photograph is taken through the photographic optical system 41 (objective optical system for photography 48) such as the zoom lens in the first embodiment.

An object image formed by the photographic optical system 41 (photographic objective optical system 48) is formed on an image pickup surface 50 of a CCD 49. The object image photoreceived at the CCD 49 is displayed on the liquid-crystal display monitor 47 which is provided on a camera rear surface as an electronic image, via an image processing means 51. Moreover, a memory etc. is disposed in the image processing means 51, and it is possible to record the electronic image photographed. This memory may be provided separately from the image processing means 51, or may be formed by carrying out by writing by recording (recorded writing) electronically by a floppy (registered trademark) disc, memory card, or an MO etc.

Furthermore, an objective optical system for finder 53 is disposed in the optical path for finder 44. This objective optical system for finder 53 includes a cover lens 54, a first prism 10, an aperture stop 2, a second prism 20, and a lens for focusing 66. An object image is formed on an image forming surface 67 by this objective optical system for finder 53. This object image is formed in a field frame of a Porro prism which is an image erecting member equipped with a first reflecting surface 56 and a second reflecting surface 58. On a rear side of this Porro prism, an eyepiece optical system 59 which guides an image formed as an erected normal image is disposed.

By the digital camera 40 structured in such manner, it is possible to realize an optical image pickup apparatus having a zoom lens with a reduced size and thickness, in which the number of structural components is reduced.

Next, a personal computer which is an example of an information processing apparatus with a built-in image forming system as an objective optical system is shown in FIG. 62 to FIG. 64. FIG. 62 is a frontward perspective view of a personal computer 300 with its cover opened, FIG. 63 is a cross-sectional view of a photographic optical system 303 of the personal computer 300, and FIG. 64 is a side view of FIG. 62. As it is shown in FIG. 62 to FIG. 64, the personal computer 300 has a keyboard 301, an information processing means and a recording means, a monitor 302, and a photographic optical system 303.

Here, the keyboard 301 is for an operator to input information from an outside. The information processing means and the recording means are omitted in the diagram. The monitor 302 is for displaying the information to the operator. The photographic optical system 303 is for photographing an image of the operator or a surrounding. The monitor 302 may be a display such as a liquid-crystal display or a CRT display. As the liquid-crystal display, a transmission liquid-crystal display device which illuminates from a rear surface by a backlight not shown in the diagram, and a reflection liquid-crystal display device which displays by reflecting light from a front surface are available. Moreover, in the diagram, the photographic optical system 303 is built-in at a right side of the monitor 302, but without restricting to this location, the photographic optical system 303 may be anywhere around the monitor 302 and the keyboard 301.

This photographic optical system 303 has an objective optical system 100 which includes the zoom lens in the first embodiment for example, and an electronic image pickup element chip 162 which receives an image. These are built into the personal computer 300.

Although an image pickup optical system of a personal computer shown in the diagram has a lens cross-sectional arrangement which differs from the lens cross-sectional arrangement in each of the embodiments described above, the image pickup optical system same as in the embodiments described above is installed in the personal computer.

At a front end of a mirror frame, a cover glass 102 for protecting the objective optical system 100 is disposed.

An object image received at the electronic image pickup element chip 162 is input to a processing means of the personal computer 300 via a terminal 166. Further, the object image is displayed as an electronic image on the monitor 302. In FIG. 62, an image 305 photographed by the user is displayed as an example of the electronic image. Moreover, it is also possible to display the image 305 on a personal computer of a communication counterpart from a remote location via a processing means. For transmitting the image to the remote location, the Internet and telephone are used.

Next, a telephone which is an example of an information processing apparatus in which the image forming optical system of the present invention is built-in as a photographic optical system, particularly a portable telephone which is easy to carry is shown in FIG. 65A, FIG. 65B, and FIG. 65C. FIG. 65A is a front view of a portable telephone 400, FIG. 65B is a side view of the portable telephone 400, and FIG. 65C is a cross-sectional view of a photographic optical system 405. As shown in FIG. 65A to FIG. 65C, the portable telephone 400 includes a microphone section 401, a speaker section 402, an input dial 403, a monitor 404, the photographic optical system 405, an antenna 406, and a processing means.

Here, the microphone section 401 is for inputting a voice of the operator as information. The speaker section 402 is for outputting a voice of the communication counterpart. The input dial 403 is for the operator to input information. The monitor 404 is for displaying a photographic image of the operator himself and the communication counterpart, and information such as a telephone number. The antenna 406 is for carrying out a transmission and a reception of communication electric waves. The processing means (not shown in the diagram) is for carrying out processing of image information, communication information, and input signal etc.

Here, the monitor 404 is a liquid-crystal display device. Moreover, in the diagram, a position of disposing each structural element is not restricted in particular to a position in the diagram. This photographic optical system 405 has an objective optical system 100 which is disposed in a photographic optical path 407 and an image pickup element chip 162 which receives an object image. As the objective optical system 100, the zoom lens in the first embodiment for example, is used. These are built into the portable telephone 400.

At a front end of a mirror frame, a cover glass 102 for protecting the objective optical system 100 is disposed.

An object image received at the electronic image pickup element chip 162 is input to an image processing means which is not shown in the diagram, via a terminal 166. Further, the object image finally displayed as an electronic image on the monitor 404 or a monitor of the communication counterpart, or both. Moreover, a signal processing function is included in the processing means. In a case of transmitting an image to the communication counterpart, according to this function, information of the object image received at the electronic image pickup element chip 162 is converted to a signal which can be transmitted.

Various modifications can be made to the present invention without departing from its essence.

According to the present invention, an effect is shown that it is possible to provide an image forming optical system in which, the secondary spectrum is reduced over the entire zoom range, and the wide angle end is a wide angle of field, and has a high zoom ratio, and an image pickup apparatus (electronic image pickup apparatus) equipped with the image forming optical system.

Number	Date	Country	Kind
JP 2009-119656	May 2009	JP	national
JP 2009-119699	May 2009	JP	national
JP 2009-152045	Jun 2009	JP	national

Image forming optical system and electronic image pickup apparatus equipped with same

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CPC

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Priority Claims (3)