Taking lens system

Information

  • Patent Grant
  • 6927927
  • Patent Number
    6,927,927
  • Date Filed
    Thursday, November 21, 2002
    22 years ago
  • Date Issued
    Tuesday, August 9, 2005
    19 years ago
  • Inventors
  • Original Assignees
  • Examiners
    • Epps; Georgia
    • Harrington; Alicia M.
    Agents
    • Burns, Doane, Swecker & Mathis, L.L.P.
Abstract
A taking lens system has two lens elements, a positive lens element and a meniscus lens element convex to the image side. Another taking lens system has two lens elements, a first lens element having a meniscus shape with a convex surface on the object side and having a positive optical power and a second lens element having a meniscus shape with a concave surface on the image side. A third taking lens system has three lens elements, a first lens element having a weak optical power, an aperture stop, a second lens element having a positive optical power, and a third lens element having a concave surface on the image side and having a negative optical power. The focal length of the entire taking lens system and/or the focal lengths of individual lens elements fulfill prescribed relations.
Description

This application is based on the following Japanese Patent Applications, the contents of which are hereby incorporated by reference:

    • Japanese Patent Application No. 2001-361363 filed on Nov. 27, 2001
    • Japanese Patent Application No. 2002-220692 filed on Jul. 30, 2002
    • Japanese Patent Application No. 2002-220699 filed on Jul. 30, 2002
    • Japanese Patent Application No. 2002-272934 filed on Sep. 19, 2002
    • Japanese Patent Application No. 2002-272939 filed on Sep. 19, 2002


BACKGROUND OF THE INVENTION

1. Field of the Invention


The present invention relates to a taking lens system, and more particularly to a compact taking lens system suitable for use in a digital input device (such as a digital still camera or digital video camera) that takes in an image of a subject by means of a solid-state image sensor.


2. Description of the Prior Art


In recent years, as personal computers and the like become more and more popular, digital still cameras and digital video cameras (hereinafter collectively referred to as “digital cameras”), which permit easy entry of image data into digital equipment, have been becoming more and more popular for personal use among general users. Such digital cameras are expected to become even more widespread in the future.


Solid-state image sensors, such as CCDs (charge-coupled devices), used in digital cameras have been made increasingly small, and accordingly further miniaturization is sought in digital cameras themselves. As a result, miniaturization is eagerly sought also in taking lens systems, which occupy the largest volumes in digital input devices. The easiest way to make a taking lens system smaller is to make a solid-state image sensor smaller. However, this involves making photosensitive elements smaller, and thus makes the solid-state image sensor more difficult to fabricate, and in addition requires higher performance in the taking lens system.


On the other hand, making a taking lens system smaller while keeping the size of a solid-state image sensor unchanged inevitably brings the exit pupil position closer to the image plane. When the exit pupil position is brought closer to the image plane, the off-axial rays exiting from the taking lens system are obliquely incident on the image plane. This makes it impossible to make the most of the light-condensing ability of the microlenses provided in front of the solid-state image sensor, with the result that the obtained image shows extremely uneven brightness between in a central portion and in a peripheral portion thereof. This can be avoided by bringing the exit pupil position of the taking lens system farther away from the image plane, but this inevitably makes the taking lens system as a whole unduly large.


Moreover, in keen competition for lower prices in recent years, lower costs are increasingly eagerly sought in taking lens systems. To meet these requirements, Japanese Patent Application Laid-Open No. H6-88939 proposes a taking lens system composed of one lens element, and Japanese Patent Application Laid-Open No. H1-245211 proposes a taking lens system composed of two lens elements. Moreover, Japanese Patent Application Laid-Open No. 2001-183578 proposes a taking lens system composed of two lens elements for use with a solid-state image sensor. Furthermore, Japanese Patent Applications Laid-Open Nos. 2001-272598, 2002-698889, and H11-52227 propose taking lens systems composed of three lens elements.


These conventional taking lens systems, however, have the following disadvantages. The taking lens system composed of one lens element disclosed in Japanese Patent Application Laid-Open No. H6-88939 has the exit pupil position located far beyond the total length of the taking lens system, but suffers from poor image plane quality, and thus cannot maintain high imaging performance. The taking lens system composed of two lens elements disclosed in Japanese Patent Application Laid-Open No. H1-245211 offers good image plane quality, and thus maintains high imaging performance. However, here, the exit pupil position is located too close, namely at about 6/10 of the total length of the taking lens system. The taking lens system disclosed in Japanese Patent Application Laid-Open No. 2001-183578, in which the first lens element has a negative optical power and the second lens element has a positive optical power, has a long total length and is not compact.


The taking lens system composed of three lens elements disclosed in Japanese Patent Application Laid-Open No. 2001-272598, of which the total length is about three times its focal length, is not compact. The taking lens system disclosed in Japanese Patent Application Laid-Open No. 2002-698889, of which the total length is about twice its focal length, is compact, but uses two glass lens elements, which make it impossible to produce this taking lens system at low costs. The taking lens system disclosed in Japanese Patent Application Laid-Open No. H11-52227, of which the total length is about 2.5 times its focal length, is not compact. Moreover, here, the angle of view is about 40 degrees, which is too narrow to make this taking lens system usable.


SUMMARY OF THE INVENTION

An object of the present invention is to provide a high-optical-performance, low-cost, compact taking lens system for use with a solid-state image sensor


To achieve the above object, according to one aspect of the present invention, a two-lens-element taking lens system for forming an image on a solid-state image sensor is provided with, from the object side: a positive lens element; and a meniscus lens element convex to the image side. Moreover, the following condition is fulfilled:

0.4<D/f<1.9  (1)

where

    • f represents the focal length of the taking lens system as a whole; and
    • D represents the axial thickness from the object-side surface of the positive lens element to the image-side surface of the meniscus lens element.


According to another aspect of the present invention, a three-lens-element taking lens system for forming an image on a solid-state image sensor is provided with, from the object side: a first lens element having a weak optical power; an aperture stop; a second lens element having a positive optical power; and a third lens element having a concave surface on the image side thereof and having a negative optical power. Moreover, the following conditions are fulfilled:

|f/f1|<0.6  (A0)
−2.2<f/f3<−0.79  (A1)

where

    • f represents the focal length of the taking lens system as a whole;
    • f1 represents the focal length of the first lens element; and
    • f3 represents the focal length of the third lens element.


According to another aspect of the present invention, a three-lens-element taking lens system for forming an image on a solid-state image sensor is provided with, from the object side: a first lens element having a positive optical power; an aperture stop; a second lens element having a positive optical power; and a third lens element having a negative optical power. Moreover, the following condition is fulfilled:

−2.6<f3/f1<−0.15  (A2)

where

    • f1 represents the focal length of the first lens element; and
    • f3 represents the focal length of the third lens element.


According to another aspect of the present invention, a three-lens-element taking lens system for forming an image on a solid-state image sensor is provided with, from the object side: a first lens element having a positive optical power; an aperture stop; a second lens element having a meniscus shape with a convex surface on the image side thereof and having a positive optical power; and a third lens element having a meniscus shape with a concave surface on the image side thereof and having a negative optical power. Moreover, the following condition is fulfilled:


 0.05<T6/f<0.5  (A3)


where






    • T6 represents the axial lens thickness of the third lens element; and

    • f represents the focal length of the taking lens system as a whole.





According to another aspect of the present invention, a three-lens-element taking lens system for forming an image on a solid-state image sensor is provided with, from the object side: a first lens element having a positive optical power; an aperture stop; a second lens element having a positive optical power; and a third lens element having a positive optical power. Moreover, the following condition is fulfilled:

0.2<f/f3<0.4  (B1)

where

    • f represents the focal length of the taking lens system as a whole; and
    • f3 represents the focal length of the third lens element.


According to another aspect of the present invention, a three-lens-element taking lens system for forming an image on a solid-state image sensor provided with, from the object side: a first lens element having a meniscus shape with a convex surface on the object side thereof and having a positive optical power; an aperture stop; a second lens element having a meniscus shape with a convex surface on the image side thereof and having a positive optical power; and a third lens element having a meniscus shape with a convex surface on the image side thereof and having a positive optical power. Moreover, the following conditions are fulfilled:

0.05<T6/f<0.4  (B3)

where

    • T6 represents the axial lens thickness of the third lens element; and
    • f represents the focal length of the taking lens system as a whole.


According to another aspect of the present invention, a two-lens-element taking lens system for forming an image on a solid-state image sensor is provided with, from the object side: a first lens element having a meniscus shape with a convex surface on the object side thereof and having a positive optical power; and a second lens element having a meniscus shape with a concave surface on the image side thereof Moreover, the following condition is fulfilled:

|f2|/f1<25  (I)

where

    • f1 represents a focal length of the first lens element; and
    • f2 represents a focal length of the second lens element.


According to another aspect of the present invention, a two-lens-element taking lens system for forming an image on a solid-state image sensor, comprising, from the object side: a first lens element having a meniscus shape with a convex surface on the object side thereof and having a positive optical power; and a second lens element having a meniscus shape with a concave surface on the image side thereof Moreover, the following condition is fulfilled:

0.1<T1/f<0.5  (II)

where

    • T1 represents the axial lens thickness of the first lens element; and
    • f represents the focal length of the taking lens system as a whole.





BRIEF DESCRIPTION OF THE DRAWINGS

This and other objects and features of the present invention will become clear from the following description, taken in conjunction with the preferred embodiments with reference to the accompanying drawings in which:



FIG. 1 is a lens construction diagram of a first embodiment (Example 1) of the invention;



FIG. 2 is a lens construction diagram of a second embodiment (Example 2) of the invention;



FIG. 3 is a lens construction diagram of a third embodiment (Example 3) of the invention;



FIG. 4 is a lens construction diagram of a fourth embodiment (Example 4) of the invention;



FIG. 5 is a lens construction diagram of a fifth embodiment (Example 5) of the invention;



FIGS. 6A to 6C are aberration diagrams of Example 1;



FIGS. 7A to 7C are aberration diagrams of Example 2;



FIGS. 8A to 8C are aberration diagrams of Example 3;



FIGS. 9A to 9C are aberration diagrams of Example 4;



FIGS. 10A to 10C are aberration diagrams of Example 5;



FIG. 11 is a lens construction diagram of a sixth embodiment (Example 6) of the invention;



FIG. 12 is a lens construction diagram of a seventh embodiment (Example 7) of the invention;



FIG. 13 is a lens construction diagram of an eighth embodiment (Example 8) of the invention;



FIG. 14 is a lens construction diagram of a ninth embodiment (Example 9) of the invention;



FIGS. 15A to 15C are aberration diagrams of Example 6;



FIGS. 16A to 16C are aberration diagrams of Example 7;



FIGS. 17A to 17C are aberration diagrams of Example 8;



FIGS. 18A to 18C are aberration diagrams of Example 9;



FIG. 19 is a lens construction diagram of a tenth embodiment (Example 10) of the invention;



FIG. 20 is a lens construction diagram of an eleventh embodiment (Example 11) of the invention;



FIG. 21 is a lens construction diagram of a twelfth embodiment (Example 12) of the invention;



FIG. 22 is a lens construction diagram of a thirteenth embodiment (Example 13) of the invention;



FIG. 23 is a lens construction diagram of a fourteenth embodiment (Example 14) of the invention;



FIG. 24 is a lens construction diagram of a fifteenth embodiment (Example 15) of the invention;



FIG. 25 is a lens construction diagram of a sixteenth embodiment (Example 16) of the invention;



FIG. 26 is a lens construction diagram of a seventeenth embodiment (Example 17) of the invention;



FIG. 27 is a lens construction diagram of an eighteenth embodiment (Example 18) of the invention;



FIG. 28 is a lens construction diagram of a nineteenth embodiment (Example 19) of the invention;



FIG. 29 is a lens construction diagram of a twentieth embodiment (Example 20) of the invention;



FIG. 30 is a lens construction diagram of twenty-first embodiment (Example 21) of the invention;



FIGS. 31A to 31C are aberration diagrams of Example 10;



FIGS. 32A to 32C are aberration diagrams of Example 11;



FIGS. 33A to 33C are aberration diagrams of Example 12;



FIGS. 34A to 34C are aberration diagrams of Example 13;



FIGS. 35A to 35C are aberration diagrams of Example 14;



FIGS. 36A to 36C are aberration diagrams of Example 15;



FIGS. 37A to 37C are aberration diagrams of Example 16;



FIGS. 38A to 38C are aberration diagrams of Example 17;



FIGS. 39A to 39C are aberration diagrams of Example 18;



FIGS. 40A to 40C are aberration diagrams of Example 19;



FIGS. 41A to 41C are aberration diagrams of Example 20;



FIGS. 42A to 42C are aberration diagrams of Example 21;



FIG. 43 is a lens construction diagram of a twenty-second embodiment (Example 22) of the invention;



FIG. 44 is a lens construction diagram of a twenty-third embodiment (Example 23) of the invention;



FIG. 45 is a lens construction diagram of a twenty-fourth embodiment (Example 24) of the invention;



FIG. 46 is a lens construction diagram of a twenty-fifth embodiment (Example 25) of the invention;



FIGS. 47A to 47C are aberration diagrams of Example 22;



FIGS. 48A to 48C are aberration diagrams of Example 23;



FIGS. 49A to 49C are aberration diagrams of Example 24;



FIGS. 50A to 50C are aberration diagrams of Example 25;





DESCRIPTION OF THE PREFERRED EMBODIMENTS

Hereinafter, taking lens systems embodying the present invention will be described with reference to the drawings.


First to Ninth Embodiments

First, a first to a ninth embodiment of the invention will be described. FIGS. 1 to 5 and FIGS. 11 to 14 show the lens constructions of the first to ninth embodiments, respectively, each showing the lens construction in an optical section. The taking lens systems of these embodiments are all designed as fixed-focal-length lens systems for photographing purposes (for example, for used in digital cameras) which form an optical image on a solid-state image sensor (for example, a CCD). Each of these taking lens systems is composed of, from the object side, an aperture stop ST, a positive lens element L1, and a meniscus lens element L2 convex to the image side, and has a glass filter GF, functioning as an optical low-pass filter or the like and having the shape of a plane parallel plate, provided on the image-plane side thereof. The two lens elements L1 and L2 are both plastic lens elements, and all the lens surfaces r2 to r5 are aspherical surfaces.


In a taking lens system of the type composed of two lens elements, namely, from the object side, a positive lens element L1 and a meniscus lens element L2 convex to the image side, by adopting a characteristic optical construction as will be described below, as in the first to ninth embodiments, it is possible to strike a proper balance among the exit pupil position, optical performance, costs, and compactness required in a taking lens system for a solid-state image sensor. For example, with respect to the exit pupil position, it is preferable that, as in the first to ninth embodiments, the aperture stop ST be disposed on the object side of the positive lens element L1. Disposing the aperture stop ST on the object side of the positive lens element L1 makes it possible to locate the exit pupil farther away. Moreover, it is preferable that the lens element L1 have a convex surface on the image side. Giving the lens element L1 a convex surface on the image side is also effective in locating the exit pupil position farther away.


It is preferable that the positive lens element L1 and the meniscus lens element L2 be both plastic lens elements. Using plastic lens elements as both of the lens elements L1 and L2 is effective in reducing the costs of the taking lens system. It is preferable that the positive lens element L1 and the meniscus lens element L2 each have at least one aspherical surface. Giving each of the lens elements L1 and L2 at least one aspherical surface is highly effective in reducing spherical aberration, coma aberration, and distortion. More specifically, giving the positive lens element L1 an aspherical surface makes possible effective correction of spherical aberration and distortion, and giving the meniscus lens element L2 an aspherical surface makes possible effective correction of coma aberration.


Now, the conditions of which the fulfillment is preferable in the taking lens systems of the first to ninth embodiments will be described. It is to be noted, however, that, in any of these embodiments, it is not necessary that all of the conditions described below be fulfilled simultaneously; that is, the fulfillment of whichever of those conditions are appropriate in a given optical construction provides the corresponding benefits and advantages. Needless to say, from the viewpoint of optical performance, miniaturization, assembly, and other factors, it is preferable that as many of the conditions as possible be fulfilled.


It is preferable that condition (1) below be fulfilled.

0.4<D/f<1.9  (1)

where

    • f represents the focal length of the taking lens system as a whole; and
    • D represents the axial thickness from the object-side surface r2 of the positive lens element L1 to the image-side surface r5 of the meniscus lens element L2.


Condition (1) defines the range within which the distance D from the first lens surface r2 to the last lens surface r5 along the optical axis AX needs to be kept mainly to strike a proper balance between the total length and the aberrations produced. If the upper limit of condition (1) is transgressed, it is easy to correct aberrations, but the total length is unduly long. By contrast, if the lower limit of condition (1) is transgressed, it is easy to shorten the total length, but the aberrations produced, in particular distortion and curvature of field, are unduly large.


It is preferable that condition (2) below be fulfilled, and it is further preferable that condition (2a) below be fulfilled.

0.2<(R1+R2)/(R1−R2)<1.7  (2)
0.5<(R1+R2)/(R1−R2)<1.7  (2a)

where

    • R1 represents the radius of curvature of the object-side surface of the positive lens element L1 disposed at the object-side end; and
    • R2 represents the radius of curvature of the image-side surface of the positive lens element L1 disposed at the object-side end.


Conditions (2) and (2a) define the ranges of which one needs to be observed with respect to the positive lens element L1 mainly to strike a proper balance of coma aberration. If the lower limit of condition (2) is transgressed, coma aberration is so large as to adversely affect lateral chromatic aberration. By contrast, if the upper limit of condition (2) is transgressed, coma aberration is so large as to adversely affect astigmatism.


It is preferable that condition (3) below be fulfilled, and it is further preferable that condition (3a) below be fulfilled.

−10<(R3+R4)/(R3−R4)<−1  (3)
−9<(R3+R4)/(R3−R4)<−2  (3a)

where

    • R3 represents the radius of curvature of the object-side surface of the meniscus lens element L2 disposed at the image-side end; and
    • R4 represents the radius of curvature of the image-side surface of the meniscus lens element L2 disposed at the image-side end.


Conditions (3) and (3a) define the ranges of which one needs to be observed with respect to the meniscus lens element L2 mainly to strike a proper balance of coma aberration. If the lower limit of condition (3) is transgressed, coma aberration is so large as to adversely affect lateral chromatic aberration. By contrast, if the upper limit of condition (3) is transgressed, coma aberration is so large as to adversely affect astigmatism.


It is preferable that condition (4) below be fulfilled, and it is further preferable that condition (4a) below be fulfilled.

1.05<f/f1<1.9  (4)
1.1<f/f1<1.9  (4a)

where

    • f represents the focal length of the taking lens system as a whole; and
    • f1 represents the focal length of the positive lens element L1 disposed at the object-side end.


Conditions (4) and (4a) define the ranges of which one needs to be observed with respect to the positive lens element L1 mainly to achieve proper correction of distortion and curvature of filed. If the upper limit of condition (4) is transgressed, positive distortion is unduly large, and the inclination of the image plane toward the over side is unduly sharp. In addition to these inconveniences, the exit pupil position is located unduly close. By contrast, if the lower limit of condition (4) is transgressed, negative distortion is unduly large, and the inclination of the image plane toward the under side is unduly sharp. This makes the taking lens system practically unusable.


It is preferable that condition (5) below be fulfilled, and it is further preferable that condition (5a) below be fulfilled.

−1.5<f/f2<0.5  (5)
−0.4<f/f2<0.3  (5a)

where

    • f represents the focal length of the taking lens system as a whole; and
    • f2 represents the focal length of the meniscus lens element L2 convex to the image side disposed at the image-side end.


Conditions (5) and (5a) define the ranges of which one needs to be observed with respect to the meniscus lens element L2 mainly to achieve proper correction of distortion and curvature of filed. If the lower limit of condition (5) is transgressed, positive distortion is unduly large, and the inclination of the image plane toward the over side is unduly sharp. In addition to these inconveniences, the exit pupil position is located unduly close. By contrast, if the upper limit of condition (5) is transgressed, negative distortion is unduly large, and the inclination of the image plane toward the under side is unduly sharp. This makes the taking lens system practically unusable.


Tenth to Twenty-first Embodiments

Next, a tenth to a twenty-first embodiment of the invention will be described. FIGS. 19 to 30 show the lens constructions of the tenth to twenty-first embodiments, respectively, each showing the lens construction in an optical section. The taking lens systems of these embodiments are all designed as fixed-focal-length lens systems for photographing purposes (for example, for used in digital cameras) which form an optical image on a solid-state image sensor (for example, a CCD). Each of these taking lens systems is composed of three lens elements, namely, from the object side, a first lens element L1, an aperture stop ST, a second lens element L2, and a third lens element L3. The three lens elements L1 to L3 are all plastic lens elements, and all the lens surfaces r1, r2, and r4 to r7 are aspherical surfaces. In addition, on the image side of the third lens element L3 is disposed a glass filter GF functioning as an optical low-pass filter or the like and having the shape of a plane parallel plate.


In the tenth to fourteenth embodiments (FIGS. 19 to 23), the taking lens system is composed of, from the object side, a first lens element L1 having a weak negative or positive optical power (here, the optical power is the quantity defined as the reciprocal of the focal length), an aperture stop ST, a second lens element L2 having a positive optical power, a third lens element L3 having a negative optical power, and a glass filter GF. In the fifteenth to seventeenth embodiments (FIGS. 24 to 26), the taking lens system is composed of, from the object side, a first lens element L1 having a positive optical power, an aperture stop ST, a second lens element L2 having a positive optical power, a third lens element L3 having a negative optical power, and a glass filter GF. In the eighteenth to twenty-first embodiments (FIGS. 27 to 30), the taking lens system is composed of, from the object side, a first lens element L1 having a positive optical power, an aperture stop ST, a second lens element L2 having a positive optical power, a third lens element L3 having a positive optical power, and a glass filter GF. Now, the features of each of the tenth to twenty-first embodiments will be described. It is to be noted that, in the following descriptions, the three-lens-element construction having a negative/positive-positive-negative (−/+, +, −) power arrangement (here, “/” signifies “or”) adopted in the tenth to seventeenth embodiments will be referred to as “lens type A,” and the three-lens-element construction having a positive-positive-positive (+, +, +) power arrangement adopted in the eighteenth to twenty-first embodiments will be referred to as “lens type B.”


Lens Type A (Negative/Positive-positive-negative)


In the tenth to twelfth embodiments (FIGS. 19 to 21), the first lens element L1 has a meniscus shape with a convex surface on the object side, and has a weak negative optical power; the second lens element L2 has a biconvex shape, and has a positive optical power; the third lens element L3 has a meniscus shape with a concave surface on the image side, and has a negative optical power. That is, there are arranged, from the object side, a weakly negatively powered meniscus lens element as the first lens element L1, then the aperture stop ST, then a biconvex positive lens element as the second lens element L2, and then a negative meniscus lens element concave to the image side as the third lens element L3. In this way, it is possible to build a taking lens system of lens type A having a negative-positive-negative (−, +, −) power arrangement while striking a proper balance among optical performance, costs, and compactness.


In the thirteenth and fourteenth embodiments (FIGS. 22 to 23), the first lens element L1 has a weak positive optical power; the second lens element L2 has a meniscus shape with a convex surface on the image side, and has a positive optical power; the third lens element L3 has a meniscus shape with a concave surface on the image side, and has a negative optical power. That is, there are arranged, from the object side, a weakly positively powered lens element as the first lens element L1, then the aperture stop ST, then a positive meniscus lens element convex to the image side as the second lens element L2, and then a negative meniscus lens element concave to the image side as the third lens element L3. In this way, it is possible to build a taking lens system of lens type A having a positive-positive-negative (+, +, −) power arrangement while striking a proper balance among optical performance, costs, and compactness.


In the fifteenth and seventeenth embodiments (FIGS. 24 to 26), the first lens element L1 has a positive optical power; the second lens element L2 has a meniscus shape with a convex surface on the image side, and has a positive optical power; the third lens element L3 has a meniscus shape with a concave surface on the image side, and has a negative optical power. That is, there are arranged, from the object side, a positive lens element as the first lens element L1, then the aperture stop ST, then a positive meniscus lens element convex to the image side as the second lens element L2, and then a negative meniscus lens element concave to the image side as the third lens element L3. In this way, it is possible to build a taking lens system of lens type A having a positive-positive-negative (+, +, −) power arrangement while striking a proper balance among optical performance, costs, and compactness.


Now, the conditions of which the fulfillment is preferable in taking lens systems of lens type A will be described. It is to be noted, however, that, in any given optical construction, it is not necessary that all of the conditions described below be fulfilled simultaneously; that is, the fulfillment of whichever of those conditions are appropriate in a given optical construction provides the corresponding benefits and advantages. Needless to say, from the viewpoint of optical performance, miniaturization, assembly, and other factors, it is preferable that as many of the conditions as possible be fulfilled.


In the tenth to fourteenth embodiments, the first lens element L1 has a weak optical power. It is preferable that this weak optical power fulfill condition (A0) below:

|f/f1|<0.6  (A0)

where

    • f represents the focal length of the taking lens system as a whole; and
    • f1 represents the focal length of the first lens element L1.


Condition (A0) defines the range that needs to be observed with respect to the first lens element L1 having a weak optical power mainly to minimize degradation in optical performance ascribable to fabrication-associated errors. When condition (A0) is not fulfilled, the optical power of the first lens element L1 is so strong that the large aberrations produced by the first lens element L1 needs to be corrected by the second L2 and following lens elements. This aggravates degradation in optical performance ascribable to fabrication-associated errors.


With respect to the third lens element L3, it is preferable that condition (A1) below be fulfilled, and it is further preferable that this condition be fulfilled together with condition (A0) noted above.

−2.2<f/f3<−0.79  (A1)

where

    • f represents the focal length of the taking lens system as a whole; and
    • f3 represents the focal length of the third lens element L3.


Condition (A1) defines the range that needs to be observed with respect to the third lens element L3 mainly to strike a proper balance of coma aberration. If the lower limit of condition (A1) is transgressed, coma aberration is so large as to adversely affect lateral chromatic aberration. By contrast, if the upper limit of condition (A1) is transgressed, coma aberration is so large as to adversely affect astigmatism.


In an optical construction of lens type A having a positive-positive-negative (+, +, −) power arrangement, as in the thirteenth to seventeenth embodiments, with respect to the first and third lens elements L1 and L3, it is preferable that condition (A2) below be fulfilled, and it is further preferable that condition (A2a) below be fulfilled. It is particularly preferable that condition (A2b) below be fulfilled.


 −2.6<f3/f1<−0.15  (A2)

−1.1<f3/f1<−0.15  (A2a)
−0.35<f3/f1<−0.15  (A2b)

where

    • f1 represents the focal length of the first lens element L1; and
    • f3 represents the focal length of the third lens element L3.


Conditions (A2), (A2a), and (A2b) define the ranges of which one needs to be observed mainly to strike a proper balance between the total length and the aberrations produced. If the upper limit of condition (A2) is transgressed, it is easy to correct aberrations, but the total length is unduly long. By contrast, if the lower limit of condition (A2) is transgressed, it is easy to shorten the total length, but the aberrations produced, in particular distortion and curvature of field, are unduly large.


With respect to the third lens element L3, it is preferable that condition (A3) below be fulfilled, and it is further preferable that condition (A3a) below be fulfilled. It is particularly preferable that one of these conditions be fulfilled together with at least one of conditions (A0), (A1), (A2), (A2a), and (A2b) noted above. In an optical construction of lens type A having a positive-positive-negative (+, +, −) power arrangement, as in the thirteenth to seventeenth embodiments, it is preferable that the second lens element L2 have a positive meniscus shape with a convex surface on the image side, that the third lens element L3 have a negative meniscus shape with a concave surface on the image side, and in addition that condition (A3) below be fulfilled. In this case, it is further preferable that condition (A3a) below be fulfilled.


 0.05<T6/f<0.5  (A3)

0.05<T6/f<0.4  (A3a)

where

    • T6 represents the axial lens thickness of the third lens element L3; and
    • f represents the focal length of the taking lens system as a whole.


Conditions (A3) and (A3a) define the ranges of which one needs to be observed with respect to the third lens element L3 mainly to strike a proper balance between the lateral chromatic aberration produced and the manufacturability of the lens element. If the upper limit of condition (A3) is transgressed, it is difficult to correct lateral chromatic aberration properly. By contrast, if the lower limit of condition (A3) is transgressed, the lens element is too thin to be manufactured easily.


Lens Type B (Positive-positive-positive)


In the eighteenth to twenty-first embodiments (FIGS. 27 to 30), the first lens element L1 has a meniscus shape with a convex surface on the object side, and has a positive optical power; the second lens element L2 has a meniscus shape with a convex surface on the image side, and has a positive optical power; the third lens element L3 has a meniscus shape with a convex surface on the image side, and has a positive optical power. That is, there are arranged, from the object side, a positive meniscus lens element convex to the object side as the first lens element L1, then the aperture stop ST, then a positive lens element convex to the image side as the second lens element L2, and then a positive meniscus lens element convex to the image side as the third lens element L3. In this way, it is possible to build a taking lens system of lens type B while striking a proper balance among optical performance, costs, and compactness.


Now, the conditions of which the fulfillment is preferable in taking lens systems of lens type B will be described. It is to be noted, however, that, in any given optical construction, it is not necessary that all of the conditions described below be fulfilled simultaneously; that is, the fulfillment of whichever of those conditions are appropriate in a given optical construction provides the corresponding benefits and advantages. Needless to say, from the viewpoint of optical performance, miniaturization, assembly, and other factors, it is preferable that as many of the conditions as possible be fulfilled.


With respect to the third lens element L3, it is preferable that condition (B1) below be fulfilled.

0.2<f/f3<0.4  (B1)

where

    • f represents the focal length of the taking lens system as a whole; and
    • f3 represents the focal length of the third lens element L3.


Condition (B1) defines the range that needs to be observed with respect to the third lens element L3 mainly to strike a proper balance of coma aberration. If the lower limit of condition (B1) is transgressed, coma aberration is so large as to adversely affect lateral chromatic aberration. By contrast, if the upper limit of condition (B1) is transgressed, coma aberration is so large as to adversely affect astigmatism.


With respect to the first and third lens elements L1 and L3, it is preferable that condition (B2) below be fulfilled.

0.5<f3/f1<2.6  (B2)

where

    • f1 represents the focal length of the first lens element L1; and
    • f3 represents the focal length of the third lens element L3.


Condition (B2) defines the range that needs to be observed mainly to strike a proper balance between the total length and the aberrations produced. If the upper limit of condition (B2) is transgressed, it is easy to correct aberrations, but the total length is unduly long. By contrast, if the lower limit of condition (B2) is transgressed, it is easy to shorten the total length, but the aberrations produced, in particular distortion and curvature of field, are unduly large.


With respect to the third lens element L3, it is preferable that condition (B3) below be fulfilled. It is further preferable that condition (B3) below be fulfilled in a three-lens-element construction of lens type B in which the first lens element L1 is a positive meniscus lens element with a convex surface on the object side, the second lens element L2 is a positive lens element with a convex surface on the image side, and the third lens element L3 is a positive meniscus lens element with a convex surface on the image side.

0.05<T6/f<0.4  (B3)

where

    • T6 represents the axial lens thickness of the third lens element L3; and
    • f represents the focal length of the taking lens system as a whole.


Condition (B3) defines the range that needs to be observed with respect to the third lens element L3 mainly to strike a proper balance between the lateral chromatic aberration produced and the manufacturability of the lens element. If the upper limit of condition (B3) is transgressed, it is difficult to correct lateral chromatic aberration properly. By contrast, if the lower limit of condition (B3) is transgressed, the lens element is too thin to be manufactured easily.


Features Preferable in Both Lens Types A and B


As described earlier, in the tenth to twenty-first embodiments, the first to third lens elements L1 to L3 are all plastic lens elements, and all the lens surfaces r1, r2, and r4 to r7 are aspherical surfaces. In this way, it is preferable that all the lens elements L1 to L3 be plastic lens elements, and that each of the lens elements L1 to L3 is given at least one aspherical surface. Using plastic lens elements as all of the lens elements L1 to L3 is effective in reducing the costs of the taking lens system. On the other hand, giving each of the lens elements L1 to L3 at least one aspherical surface is highly effective in reducing spherical aberration, coma aberration, and distortion.


Twenty-second to Twenty-fifth Embodiments

Next, a twenty-second to a twenty-fifth embodiment of the invention will be described. FIGS. 43 to 46 show the lens constructions of the twenty-second to twenty-fifth embodiments, respectively, each showing the lens construction in an optical section. The taking lens systems of these embodiments are all designed as fixed-focal-length lens systems for photographing purposes (for example, for used in digital cameras) which form an optical image on a solid-state image sensor (for example, a CCD). Each of these taking lens systems is composed of two lens elements, namely, from the object side, an aperture stop ST, a first lens element L1 having a meniscus shape with a convex surface on the object side and having a positive optical power, and a second lens element L2 having a meniscus shape with a concave surface on the image side, and has a glass filter GF, functioning as an optical low-pass filter or the like and having the shape of a plane parallel plate, provided on the image-plane side thereof In the twenty-second embodiment, the second lens element L2 is a plastic lens. In the twenty-third to twenty-fifth embodiments, the first and second lens elements L1 and L2 are both plastic lens elements. In the twenty-second to twenty-fifth embodiments, all the lens surfaces r2 to r5 are aspherical surfaces.


Thus, in the twenty-second to twenty-fifth embodiments, a taking lens system having a positive-positive/negative (+, +/−) power arrangement (here, the optical power is the quantity defined as the reciprocal of the focal length, and “/” signifies “or”) is built by arranging two lens elements, namely, from the object side, a positive meniscus lens element L1 with a convex surface on the object side and then a meniscus lens element with a concave surface on the image side. In this way, it is possible to strike a proper balance among the exit pupil position, optical performance, costs, and compactness required in a taking lens system for a solid-state image sensor. Specifically, that can be achieved effectively when the conditions described below are fulfilled.


Now, the conditions that need to be fulfilled in the taking lens systems of the twenty-second to twenty-fifth embodiments, i.e., the conditions of which the fulfillment is preferable in taking lens systems of the types like those of the twenty-second to twenty-fifth embodiments, will be described. It is to be noted, however, that, in any of these embodiments, it is not necessary that all of the conditions described below be fulfilled simultaneously; that is, the fulfillment of whichever of those conditions are appropriate in a given optical construction provides the corresponding benefits and advantages. Needless to say, from the viewpoint of optical performance, miniaturization, assembly, and other factors, it is preferable that as many of the conditions as possible be fulfilled.


It is preferable that condition (I) below be fulfilled.

|f2|/f1<25  (I)

where

    • f1 represents the focal length of the first lens element L1; and
    • f2 represents the focal length of the second lens element L2.


Condition (I) defines the range that needs to be observed mainly to strike a proper balance between the total length and the aberrations produced. If the upper limit of condition (I) is transgressed, the optical power of the second lens element L2 is so weak that, while it is easy to correct aberrations, the total length is unduly long.


It is preferable that condition (II) below be fulfilled.

0.1<T1/f<0.5  (II)

where

    • T1 represents the axial lens thickness of the first lens element L1; and
    • f represents the focal length of the taking lens system as a whole.


Condition (II) defines the range that needs to be observed with respect to the first lens element L1 mainly to strike a proper balance between the lateral chromatic aberration produced and the manufacturability of the lens element. If the upper limit of condition (II) is transgressed, it is difficult to correct lateral chromatic aberration properly. By contrast, if the lower limit of condition (II) is transgressed, the lens element is too thin at the edge to be manufactured easily.


It is preferable that condition (III) below be fulfilled, and it is further preferable that this condition be fulfilled together with at least one of conditions (I) and (II) noted above.

1.4<f/Y′<1.9  (III)

where

    • f represents the focal length of the taking lens system as a whole; and
    • Y′ represents the maximum image height.


Condition (III) defines the range that needs to be observed to strike a proper balance between the total length of the taking lens system and the front lens diameter. If the lower limit of condition (III) is transgressed, the front lens diameter is so large that the dimension, in the diametrical direction, of the taking lens device incorporating the taking lens system is unduly large and that it is difficult to correct distortion. By contrast, if the upper limit of condition (III) is transgressed, the total length of the taking lens system is so long that the dimension, in the axial (AX) direction, of the taking lens device incorporating the taking lens system is unduly large.


It is preferable that condition (IV) below be fulfilled, and it is further preferable that this condition be fulfilled together with at least one of conditions (I) to (III) noted above.

V2<40  (IV)

where

    • V2 represents the Abbe number of the second lens element L2.


Condition (IV) defines the range that needs to be observed with respect to the correction of chromatic aberration by the second lens element L2. If condition (IV) is not fulfilled, the correction of chromatic aberration by the second lens element L2 is unsatisfactory, aggravating the chromatic aberration produced through the taking lens system as a whole.


It is preferable that condition (V) below be fulfilled, and it is further preferable that this condition be fulfilled together with at least one of conditions (I) to (IV) noted above.

0.13<TA/f<0.41  (V)

where

    • TA represents the axial aerial distance between the first lens element L1 and the second lens element L2; and
    • f represents the focal length of the taking lens system as a whole.


Condition (V) defines the range that needs to be observed to strike a proper balance between the total length and the aberrations produced. If the upper limit of condition (V) is transgressed, it is easy to correct aberrations, but the total length is unduly long. By contrast, if the lower limit of condition (V) is transgressed, it is easy to shorten the total length, but the aberrations produced, in particular distortion and curvature of field, are unduly large.


It is preferable that, as in the twenty-second to twenty-fifth embodiments, the aperture stop ST be disposed on the object side of the first lens element L1. Disposing the aperture stop ST on the object side of the first lens element L1 makes it possible to locate the exit pupil farther away. Moreover, in the twenty-second to twenty-fifth embodiments, plastic lens elements and aspherical surfaces are used. Here, it is preferable that the first and second lens elements L1 and L2 be both plastic lens elements, and that the first and second lens elements L1 and L2 each have at least one aspherical surface. Using plastic lens elements as both of the lens elements L1 and L2 is effective in reducing the costs of the taking lens system. Giving each of the lens elements L1 and L2 at least one aspherical surface is highly effective in reducing spherical aberration, coma aberration, and distortion.


Possible Modifications

In any of the first to twenty-fifth embodiments, the taking lens system is composed solely of refractive lens elements, which deflect incident light by refraction (i.e. lens elements of the type in which light deflects at the interface between two media having different refractive indices). It is possible, however, to replace any of these lens elements with a lens element of any other type, for example, a diffractive lens element, which deflects incident light by diffraction, or a refractive/diffractive hybrid lens element, which deflects incident light by diffraction and refraction combined together, or a gradient index lens element, which deflects incident light with varying refractive indices distributed within a medium. Among these types, gradient index lens elements, which have varying refractive indices distributed within a medium, are expensive because of the complicated fabrication process they require. Therefore, in a taking lens system embodying the invention, it is preferable to use lens elements formed out of a uniform material as both of the lens elements L1 and L2 where two lens elements are provided and as all of the lens elements L1 to L3 where three lens elements are provided.


In any of the first to twenty-fifth embodiments, a surface having no optical power (for example, a reflective, refractive, or diffractive surface) may be disposed in the optical path so that the optical path is bent in front of, behind, or in the middle of the taking lens system. Where to bend the optical path may be determined to suit particular needs. By bending the optical path appropriately, it is possible to make the digital input device (such as a digital camera) incorporating the taking lens system apparently slim and compact.


The taking lens systems of the first to twenty-fifth embodiments are all suitable as compact taking lens systems for use in digital input devices, and, by combining one of those taking lens systems with an optical low-pass filter and a solid-state image sensor, it is possible to build a taking lens device that takes in an image of a subject optically and outputs it as an electrical signal. A taking lens device is used as the main component of a camera (for example, a digital camera, video camera, or camera incorporated in or externally fitted to a digital video unit, personal computer, mobile computer, pen-type scanner, cellular phone, personal digital assistant (PDA), or the like) that is used to take a still or moving picture of a subject. A taking lens device is composed of, for example, from the object (subject) side, a taking lens system for forming an optical image of a subject, an optical low-pass filter, and a solid-state image sensor for converting the optical image formed by the taking lens system into an electrical signal.


Thus, the first to twenty-fifth embodiments described hereinbefore include inventions (i) to (xvii) having features as noted below, and, with those features, it is possible to realize high-optical-performance, low-cost, compact taking lens devices. By incorporating such a taking lens device in a digital camera or the like, it is possible to enhance the performance and functionality of the camera, and to reduce the costs and size of the camera.


Covered by the first to ninth embodiments are these inventions:

    • (i) A taking lens device including a taking lens system for forming an optical image and a solid-state image sensor for converting the optical image formed by the taking lens system into an electrical signal, wherein the taking lens system comprises two lens elements, namely, from an object side, a positive lens element and a meniscus lens element convex to an image side, and at least one of conditions (1) to (5) noted earlier is fulfilled.
    • (ii) A taking lens device as described in (i) above, further comprising an aperture stop disposed on an object side of the positive lens element.
    • (iii) A taking lens device as described in (i) or (ii) above, wherein the positive lens element and the meniscus lens element are both plastic lens elements.
    • (iv) A taking lens device as described in one of (i) to (iii) above, wherein the positive lens element and the meniscus lens element each include at least one aspherical surface.
    • (v) A taking lens device as described in one of (i) to (iv) above, wherein the positive lens element has a convex surface on an image side thereof.
    • (vi) A taking lens device as described in one of (i) to (v) above, wherein the positive lens element and the meniscus lens element are both formed out of a uniform material.


Covered by the tenth to twenty-first embodiments are these inventions:

    • (vii) A taking lens device including a taking lens system for forming an optical image and a solid-state image sensor for converting the optical image formed by the taking lens system into an electrical signal, wherein the taking lens system comprises three lens elements, namely, from an object side, a first lens element having a positive or negative optical power, a second lens element having a positive optical power, and a third lens element having a negative optical power, and at least one of conditions (A0), (A1), (A2), (A2a), (A2b), (A3), and (A3a) noted earlier is fulfilled.
    • (viii) A taking lens device including a taking lens system for forming an optical image and a solid-state image sensor for converting the optical image formed by the taking lens system into an electrical signal, wherein the taking lens system comprises three lens elements, namely, from an object side, a first lens element having a positive optical power, a second lens element having a positive optical power, and a third lens element having a positive optical power, and at least one of conditions (B1), (B2), and (B3) noted earlier is
    • (ix) A taking lens device as described in (vii) or (viii) above, further comprising an aperture stop disposed between the first and second lens elements.
    • (x) A taking lens device as described in one of (vii) to (ix) above, wherein the first to third lens elements are all plastic lens elements.
    • (xi) A taking lens device as described in one of (vii) to (x) above, wherein the first to third lens elements each include at least one aspherical surface.
    • (xii) A taking lens device as described in one of (vii) to (xi) above, wherein the first to third lens elements are all formed out of a uniform material.


Covered by the twenty-second to twenty-fifth embodiments are these inventions:

    • (xiii) A taking lens device including a taking lens system for forming an optical image and a solid-state image sensor for converting the optical image formed by the taking lens system into an electrical signal, wherein the taking lens system comprises two lens elements, namely, from an object side, a first lens element having a meniscus shape with a convex surface on an object side and having a positive optical power and a second lens element having a meniscus shape with a concave surface on an image side, and at least one of conditions (I) to (V) noted earlier is fulfilled.
    • (xiv) A taking lens device as described in (xiii) above, further comprising an aperture stop disposed on an object side of the first lens element.
    • (xv) A taking lens device as described in (xiii) or (xiv) above, wherein the first and second lens elements each include at least one aspherical surface.
    • (xvi) A taking lens device as described in one of (xiii) to (xv) above, wherein the first and second lens elements are both plastic lens elements
    • (xvii) A taking lens device as described in one of (xiii) to (xvi) above, wherein the first and second lens elements are both formed out of a uniform material.


Used as the solid-state image sensor is a CCD, CMOS (complementary metal oxide semiconductor) sensor, or the like having, for example, a plurality of pixels. The optical image formed by the taking lens system is converted into an electrical signal by the solid-state image sensor. The optical image to be formed by the taking lens system passes through the optical low-pass filter having a predetermined cutoff frequency characteristic that depends on the pixel pitch of the solid-state image sensor, and meanwhile the optical image has its spatial frequency characteristic so adjusted as to minimize so-called aliasing noise generated when the optical image is converted into an electric signal. The signal produced by the solid-state image sensor is subjected to predetermined digital image processing, image compression processing, and the like as required, and is recorded in a memory (such as a semiconductor memory or an optical disk) as a digital video signal; in some cases, the signal is transferred to another device through a cable or after being converted into an infrared signal.


In the first to twenty-fifth embodiments, a glass filter GF is used as the optical low-pass filter disposed between the last surface of the taking lens system and the solid-state image sensor. It is possible, however, to use instead an optical low-pass filter of any other type that suits the digital input device in which the taking lens system is incorporated. For example, it is possible to use a birefringence-type low-pass filter made of quartz or the like having an appropriately aligned crystal axis, a phase-type low-pass filter that achieves the required optical cut-off frequency characteristics by exploiting diffraction, or a low-pass filter of any other type.


EXAMPLES

Hereinafter, practical examples of the present invention will be presented with reference to their construction data and other data. Tables 1 to 25 show the construction data of Examples 1 to 25, respectively. Examples 1 to 25 correspond to the first to twenty-fifth embodiments described hereinabove. Thus, the lens construction diagrams (FIGS. 1 to 5, FIGS. 11 to 14, FIGS. 19 to 30, and FIGS. 43 to 46) of the first to twenty-fifth embodiments also show the lens constructions of Examples 1 to 25, respectively. In the construction data of each example, ri (i=1, 2, 3, . . . ) represents the radius of curvature (mm) of the i-th surface from the object side, di (i=1, 2, 3, . . . ) represents the i-th axial distance (mm) from the object side, and Ni (i=1, 2, 3, . . . ) and vi (i=1, 2, 3, . . . ) respectively represent the refractive index (Nd) for the d-line and the Abbe number (vd) of the i-th optical element from the object side. Shown together with these data are the focal length (f, mm) of the taking lens system as a whole and the f-number (FNO). Table 26 shows the values of the conditional formulae as actually observed in Examples 1 to 9, Table 27 shows the values of the conditional formulae as actually observed in Examples 10 to 21, and Table 28 shows the values of the conditional formulae as actually observed in Examples 22 to 25.


A surface of which the radius of curvature ri is marked with an asterisk (*) is a refractive optical surface having an aspherical shape or a surface that exerts a refractive effect equivalent to that of an aspherical surface. The surface shape of such an aspherical surface is defined by formula (AS) below. The aspherical surface data of the aspherical surfaces used in each example are also shown together with the other data mentioned above.

X(H)=(C0·H2)/(1+√{square root over (1−ε·C02·H2)})+Σ(Ai·H1)  (AS)

where

    • X(H) represents the displacement along the optical axis AX at the height H (relative to the vertex);
    • H represents the height in a direction perpendicular to the optical axis AX;
    • C0 represents the paraxial curvature (=the reciprocal of the radius of curvature);
    • ε represents the quadric surface parameter; and
    • Ai represents the aspherical surface coefficient of i-th order (the data are omitted if Ai=0).



FIGS. 6A to 6C, FIGS. 7A to 7C, FIGS. 8A to 8C, FIGS. 9A to 9C, FIGS. 10A to 10C, FIGS. 15A to 15C, FIGS. 16A to 16C, FIGS. 17A to 17C, FIGS. 18A to 18C, FIGS. 31A to 31C, FIGS. 32A to 32C, FIGS. 33A to 33C, FIGS. 34A to 34C, FIGS. 35A to 35C, FIGS. 36A to 36C, FIGS. 37A to 37C, FIGS. 38A to 38C, FIGS. 39A to 39C, FIGS. 40A to 40C, FIGS. 41A to 41C, FIGS. 42A to 42C, FIGS. 47A to 47C, FIGS. 48A to 48C, FIGS. 49A to 49C, and FIGS. 50A to 50C are aberration diagrams of Examples 1 to 25, respectively. Of these aberration diagrams, those suffixed with “A” show aspherical aberration, those suffixed with “B” show astigmatism, and those suffixed with “C” show distortion, with FNO representing the f-number and Y′ representing the maximum image height (mm). In the aspherical aberration diagrams, the solid line (d), dash-and-dot line (g), and dash-dot-dot line (c) represent the spherical aberration (mm) observed for the d-, g-, and c-lines, respectively, and the broken line (SC) represents the deviation (mm) from the sine condition to be fulfilled. In the astigmatism diagrams, the broken line (DM) and solid line (DS) represent the astigmatism (mm) observed for the d-line on the meridional and sagittal planes, respectively. In the distortion diagrams, the solid line represents the distortion (%) observed for the d-line.


As described above, according to the present invention, it is possible to realize a high-optical-performance, low-cost, compact taking lens system for use with a solid-state image sensor. By incorporating a taking lens system according to the invention in a digital input device such as a digital camera, it is possible to enhance the performance and functionality of the camera, and to reduce the costs and size of the camera.









TABLE 1







Example 1


f = 2.119, FNO = 2.8










Radius of
Axial
Refractive
Abbe


Curvature
Distance
Index
Number





  r1 = ∞ (ST)






d1 = 0.100


 r2* = 14.004  



d2 = 0.934
N1 = 1.53048
ν1 = 55.72 (L1)


r3* = −0.748



d3 = 0.356


r4* = −0.505



d4 = 0.700
N2 = 1.53048
ν2 = 55.72 (L2)


r5* = −0.780



d5 = 0.550


r6 = ∞    



d6 = 0.300
N3 = 1.55671
ν3 = 58.56 (GF)


r7 = ∞   







Aspherical Surface Data of Surface r2


ε = 0.10000 × 10, A4 = −0.60922, A6 = 0.42585 × 10,


A8 = −0.27080 × 102, A10 = 0.57074 × 102


Aspherical Surface Data of Surface r3


ε = 0.10000 × 10, A4 = 0.20595, A6 = 0.66693,


A8 = −0.35879 × 10, A10 = 0.70076 × 10


Aspherical Surface Data of Surface r4


ε = 0.41661, A4 = 0.69389, A6 = −0.73826,


A8 = 0.49177, A10 = 0.40650 × 10


Aspherical Surface Data of Surface r5


ε = 0.34473, A4 = 0.18737, A6 = −0.13504,


A8 = 0.10386, A10 = 0.47421 × 10−1
















TABLE 2







Example 2


f = 2.180, FNO = 2.8










Radius of
Axial
Refractive
Abbe


Curvature
Distance
Index
Number





  r1 = ∞ (ST)






d1 = 0.100


r2* = 9.321  



d2 = 0.980
N1 = 1.53048
ν1 = 55.72 (L1)


r3* = −0.765



d3 = 0.460


r4* = −0.520



d4 = 0.700
N2 = 1.53048
ν2 = 55.72 (L2)


r5* = −0.835



d5 = 0.300


r6 = ∞    



d6 = 0.300
N3 = 1.55671
ν3 = 58.56 (GF)


r7 = ∞   







Aspherical Surface Data of Surface r2


ε = 0.10000 × 10, A4 = −0.77522, A6 = 0.53726 × 10,


A8 = −0.32765 × 102, A10 = 0.59362 × 102


Aspherical Surface Data of Surface r3


ε = 0.10000 × 10, A4 = 0.47434 × 10−1, A6 = 0.92517,


A8= −0.39915 × 10, A10 = 0.61773 × 10


Aspherical Surface Data of Surface r4


ε = 0.45309, A4 = 0.45100, A6 = −0.12922 × 10,


A8 = −0.26299 × 10−2, A10 = 0.63532 × 10


Aspherical Surface Data of Surface r5


ε = 0.30958, A4 = 0.12155, A6 = −0.25827,


A8 = 0.96502 × 10−1, A10 = 0.93491 × 10−1
















TABLE 3







Example 3


f = 2.392, FNO = 2.8










Radius of
Axial
Refractive
Abbe


Curvature
Distance
Index
Number





   r1= ∞ (ST)






d1 = 0.100


 r2* = 12.619  



d2 = 0.995
N1 = 1.49300
ν1 = 58.34 (L1)


r3* = −0.789



d3 = 0.555


r4* = −0.539



d4 = 0.700
N2 = 1.49300
ν2 = 58.34 (L2)


r5* = −0.851



d5 = 0.600


r6 = ∞    



d6 = 0.300
N3 = 1.55671
ν3 = 58.56 (GF)


r7 = ∞   







Aspherical Surface Data of Surface r2


ε = 0.10000 × 10, A4 = −0.49071, A6 = 0.17079 × 10,


A8 = −0.10734 × 102, A10 = 0.13673 × 102


Aspherical Surface Data of Surface r3


ε = 0.10000 × 10, A4 = 0.82742 × 10−1, A6 = 0.58829,


A8 = −0.25085 × 10, A10 = 0.35644 × 10


Aspherical Surface Data of Surface r4


ε = 0.41561, A4 = 0.45783, A6 = −0.51568,


A8 = −0.72834, A10 = 0.31515 × 10


Aspherical Surface Data of Surface r5


ε = 0.92694 × 10−1, A4 = 0.15747, A6 = −0.21926,


A8 = 0.95908 × 10−1, A10 = 0.32892 × 10−1
















TABLE 4







Example 4


f = 2.374, FNO = 2.8










Radius of
Axial
Refractive
Abbe


Curvature
Distance
Index
Number





  r1 = ∞ (ST)






d1 = 0.100


r2* = −5.278



d2 = 0.962
N1 = 1.49300
ν1 = 58.34 (L1)


r3* = −0.786



d3 = 0.913


r4* = −0.591



d4 = 0.778
N2 = 1.49300
ν2 = 58.34 (L2)


r5* = −0.783



d5 = 0.347


r6 = ∞    



d6 = 0.300
N3 = 1.55671
ν3 = 58.56 (GF)


r7 = ∞   







Aspherical Surface Data of Surface r2


ε = 0.10000 × 10, A4 = −0.68130, A6 = 0.30939 × 10,


A8 = −0.18095 × 102, A10 = 0.27086 × 102


Aspherical Surface Data of Surface r3


ε = 0.10000 × 10, A4 = −0.86141 × 10−3,


A6 = 0.12975 × 10, A8 = −0.39114 × 10, A10 = 0.46366 × 10


Aspherical Surface Data of Surface r4


ε = 0.19656, A4 = 0.20973, A6 = 0.88754, A8 = −0.19835 × 10,


A10 = 0.12315 × 10


Aspherical Surface Data of Surface r5


ε = 0.14590 × 10−1, A4 = 0.46878 × 10−1,


A6 = 0.28832, A8 = −0.33358, A10 = 0.10235
















TABLE 5







Example 5


f = 2.375, FNO = 2.8










Radius of
Axial
Refractive
Abbe


Curvature
Distance
Index
Number





  r1 = ∞ (ST)






d1 = 0.100


r2* = −6.289



d2 = 1.023
N1 = 1.49300
ν1 = 58.34 (L1)


r3* = −0.787



d3 = 0.901


r4* = −0.579



d4 = 0.757
N2 = 1.49300
ν2 = 58.34 (L2)


r5* = −0.787



d5 = 0.319


r6 = ∞    



d6 = 0.300
N3 = 1.55671
ν3 = 58.56 (GF)


r7 = ∞   







Aspherical Surface Data of Surface r2


ε = 0.10000 × 10, A4 = −0.61574, A6 = 0.27047 × 10,


A8 = −0.14574 × 102, A10 = 0.20838 × 102


Aspherical Surface Data of Surface r3


ε = 0.10000 × 10, A4 = 0.33612 × 10−1,


A6 = 0.13141 × 10, A8 = −0.38282 × 10, A10 = 0.46049 × 10


Aspherical Surface Data of Surface r4


ε = 0.25079, A4 = 0.43435, A6 = 0.35935,


A8 = −0.10230 × 10, A10 = 0.69428


Aspherical Surface Data of Surface r5


ε = 0.15308, A4 = 0.16833, A6 = 0.10306, A8 =−0.16605,


A10 = 0.53841 × 10−1
















TABLE 6







Example 6


f = 2.804, FNO = 2.4










Radius of
Axial
Refractive
Abbe


Curvature
Distance
Index
Number





  r1 = ∞ (ST)






d1 = 0.100


 r2* = 10.855  



d2 = 1.481
N1 = 1.53048
ν1 = 55.72 (L1)


r3* = −1.144



d3 = 1.053


r4* = −0.581



d4 = 0.829
N2 = 1.53048
ν2 = 55.72 (L2)


r5* = −0.775



d5 = 0.300


r6 = ∞    



d6 = 0.500
N3 = 1.55671
ν3 = 58.56 (GF)


r7 = ∞   







Aspherical Surface Data of Surface r2


ε = 0.10000 × 10, A4 = −0.15651, A6 = 0.11167, A8 = −0.32391,


A10 = 0.34248 × 10−1


Aspherical Surface Data of Surface r3


ε = 0.10000 × 10, A4 = 0.41892 × 10−1,


A6 = 0.76547 × 10−1, A8 = −0.14162, A10 = 0.10402


Aspherical Surface Data of Surface r4


ε = 0.19958, A4 = 0.28237, A6 = 0.17718, A8 = −0.16551,


A10 = 0.89150 × 10−1


Aspherical Surface Data of Surface r5


ε = 0.24463, A4 = 0.18871, A6 = 0.67706 × 10−1,


A8 = −0.42828 × 10−1, A10 = 0.14796 × 10−1
















TABLE 7







Example 7


f = 2.746, FNO = 2.8










Radius of
Axial
Refractive
Abbe


Curvature
Distance
Index
Number





  r1 = ∞ (ST)






d1 = 0.100


 r2* = −30.298



d2 = 1.334
N1 = 1.53048
ν1 = 55.72 (L1)


r3* = −1.098



d3 = 1.248


r4* = −0.574



d4 = 0.592
N2 = 1.53048
ν2 = 55.72 (L2)


r5* = −0.736



d5 = 0.300


r6 = ∞    



d6 = 0.500
N3 = 1.55671
ν3 = 58.56 (GF)


r7 = ∞   







Aspherical Surface Data of Surface r2


ε = 0.10000 × 10, A4 = −0.20083, A6 = 0.26357, A8 = −0.12016 × 10,


A10 = 0.10652 × 10


Aspherical Surface Data of Surface r3


ε = 0.10000 × 10, A4 = 0.40952 × 10−1, A6 = 0.48180 × 10−1,


A8 = −0.10285, A10 = 0.94572 × 10−1


Aspherical Surface Data of Surface r4


ε = 0.23362, A4 = 0.42418, A6 = 0.93561 × 10−1,


A8 = −0.18280, A10 = 0.14827


Aspherical Surface Data of Surface r5


ε = 0.26069, A4 = 0.29294, A6 = 0.29030 × 10−1, A8 = −0.55942 × 10−1,


A10 = 0.28511 × 10−1
















TABLE 8







Example 8


f = 4.302, FNO = 2.8










Radius of
Axial
Refractive
Abbe


Curvature
Distance
Index
Number





  r1 = ∞ (ST)






d1 = 0.200


r2* = 5.093  



d2 = 1.567
N1 = 1.53048
ν1 = 55.72 (L1)


r3* = −2.006



d3 = 1.436


r4* = −1.882



d4 = 0.605
N2 = 1.53048
ν2 = 55.72 (L2)


 r5* = −27.566



d5 = 0.300


r6 = ∞    



d6 = 0.500
N3 = 1.55671
ν3 = 58.56 (GF)


r7 = ∞   







Aspherical Surface Data of Surface r2


ε = 0.10000 × 10, A4 = −0.49610 × 10−1, A6 = −0.60887 × 10−2,


A8 = −0.19423 × 10−1, A10 = −0.43911 × 10−1


Aspherical Surface Data of Surface r3


ε = 0.10000 × 10, A4 = −0.85382 × 10−2, A6 = −0.58224 × 10−1,


A8 = 0.35121 × 10−1, A10 = −0.12013 × 10−1


Aspherical Surface Data of Surface r4


ε = 0.18324 × 10, A4 = −0.56851 × 10−1, A6 = −0.24185, A8 = 0.11681,


A10 = 0.58867 × 10−2


Aspherical Surface Data of Surface r5


ε = 0.10686 × 103, A4 = −0.67211 × 10−1, A6 = −0.35152 × 10−1,


A8 = 0.21419 × 10−1, A10 = −0.23739 × 10−2
















TABLE 9







Example 9


f = 4.274, FNO = 2.8










Radius of
Axial
Refractive
Abbe


Curvature
Distance
Index
Number





  r1 = ∞ (ST)






d1 = 0.200


r2* = 5.395  



d2 = 1.606
N1 = 1.53275
ν1 = 55.72 (L1)


r3* = −1.857



d3 = 1.397


r4* = −1.568



d4 = 0.605
N2 = 1.53275
ν2 = 55.72 (L2)


 r5* = −12.154



d5 = 0.300


r6 = ∞    



d6 = 0.500
N3 = 1.55898
ν3 = 58.56 (GF)


r7 = ∞   







Aspherical Surface Data of Surface r2


ε = 0.10000 × 10, A4 = −0.51641 × 10−1, A6 = −0.13979 × 10−1,


A8 = −0.43725 × 10−2, A10 = −0.61434 × 10−1


Aspherical Surface Data of Surface r3


ε = 0.10000 × 10, A4 = −0.42042 × 10−2, A6 = −0.58122 × 10−1,


A8 = 0.37522 × 10−1, A10 = −0.12698 × 10−1


Aspherical Surface Data of Surface r4


ε = 0.11558 × 10, A4 = −0.10226, A6 = −0.19605, A8 = 0.15709,


A10 = −0.19263 × 10−1


Aspherical Surface Data of Surface r5


ε = 0.14231 × 102, A4 = −0.90442 × 10−1, A6 = −0.45273 × 10−2,


A8 = 0.13523 × 10−1, A10 = −0.18311 × 10−2
















TABLE 10







Example 10


f = 3.469, FNO = 2.8










Radius of
Axial
Refractive
Abbe


Curvature
Distance
Index
Number





r1* = 2.800






d1 = 1.322
N1 = 1.58340
ν1 = 30.23 (L1)


r2* = 1.595



d2 = 0.741


  r3 = ∞ (ST)



d3 = 0.442


r4* = 5.686



d4 = 1.686
N2 = 1.53048
ν2 = 55.72 (L2)


  r5* = −1.141



d5 = 0.100


 r6* = 18.824



d6 = 1.026
N3 = 1.58340
ν3 = 30.23 (L3)


r7* = 2.039



d7 = 1.000


 r8 = ∞



d8 = 0.500
N4 = 1.51680
ν4 = 64.20 (GF)


 r9 = ∞   







Aspherical Surface Data of Surface r1


ε = 0.32631, A4 = 0.23941 × 10−1, A6 = −0.24142 × 10−3,


A8 = 0.87227 × 10−3


Aspherical Surface Data of Surface r2


ε = 0.20000 × 10, A4 = 0.83403 × 10−1, A6 = 0.98460 × 10−3,


A8 = 0.49924 × 10−1


Aspherical Surface Data of Surface r4


ε = 0.18973 × 10, A4 = −0.11614 × 10−1, A6 = −0.22756 × 10−1,


A8 = 0.82323 × 10−2


Aspherical Surface Data of Surface r5


ε = 0.26870, A4 = 0.34068 × 10−1, A6 = −0.14733 × 10−1,


A8 = 0.56763 × 10−3


Aspherical Surface Data of Surface r6


ε = 0.0 A4 = −0.47058 × 10−1, A6 = −0.90811 × 10−2,


A8 = 0.19180 × 10−2


Aspherical Surface Data of Surface r7


ε = 0.35130, A4 = −0.86078 × 10−1, A6 = 0.14913 × 10−1,


A8 = −0.18277 × 10−2
















TABLE 11







Example 11


f = 3.467, FNO = 2.8










Radius of
Axial
Refractive
Abbe


Curvature
Distance
Index
Number





r1* = 3.914






d1 = 1.633
N1 = 1.58340
ν1 = 30.23 (L1)


r2* = 2.253



d2 = 0.545


  r3 = ∞ (ST)



d3 = 0.300


r4* = 5.484



d4 = 2.097
N2 = 1.53048
ν2 = 55.72 (L2)


  r5* = −0.992



d5 = 0.100


r6* = 6.928



d6 = 0.700
N3 = 1.58340
ν3 = 30.23 (L3)


r7* = 1.261



d7 = 1.000


 r8 = ∞   



d8 = 0.500
N4 = 1.51680
ν4 = 64.20 (GF)


 r9 = ∞







Aspherical Surface Data of Surface r1


ε = 0.10000 × 10, A4 = 0.15050 × 10−1, A6 = 0.17624 × 10−2,


A8 = −0.28942 × 10−3, A10 = 0.15435 × 10−3


Aspherical Surface Data of Surface r2


ε = 0.10000 × 10, A4 = 0.12063, A6 = 0.53318 × 10−1,


A8 = −0.34519 × 10−1, A10 = 0.15360


Aspherical Surface Data of Surface r4


ε = 0.10000 × 10, A4 = 0.21812 × 10−1, A6 = 0.13669 × 10−1,


A8 = 0.89058 × 10−2, A13 = −0.10085 × 10−1


Aspherical Surface Data of Surface r5


ε = 0.10969, A4 = 0.13179, A6 = −0.87983 × 10−1,


A8 = 0.39597 × 10−1, A10 = −0.51378 × 10−2


Aspherical Surface Data of Surface r6


ε = 0.10000 × 10, A4 = −0.98804 × 10−1, A6 = 0.25381 × 10−1,


A8 = −0.41254 × 10−2, A10 = −0.74291 × 10−3


Aspherical Surface Data of Surface r7


ε = −0.50000 × 10, A4 = −0.69548 × 10−1, A6 = 0.27279 × 10−1,


A8 = −0.76305 × 10−2, A10 = 0.73965 × 10−3
















TABLE 12







Example 12


f = 3.965, FNO = 2.8










Radius of
Axial
Refractive
Abbe


Curvature
Distance
Index
Number





r1* = 5.638






d1 = 1.569
N1 = 1.58340
ν1 = 30.23 (L1)


r2* = 3.303



d2 = 0.394


  r3 = ∞ (ST)



d3 = 0.200


r4* = 4.256



d4 = 2.649
N2 = 1.53048
ν2 = 55.72 (L2)


  r5* = −1.065



d5 = 0.100


 r6* = 19.154



d6 = 0.799
N3 = 1.58340
ν3 = 30.23 (L3)


r7* = 1.266



d7 = 1.000


 r8 = ∞   



d8 = 0.500
N4 = 1.51680
ν4 = 64.20 (GF)


 r9 = ∞







Aspherical Surface Data of Surface r1


ε = 0.10000 × 10, A4 = 0.12129 × 10−1, A6 = 0.31044 × 10−2,


A8 = −0.11652 × 10−2, A10 = 0.19214 × 10−3


Aspherical Surface Data of Surface r2


ε = 0.10000 × 10, A4 = 0.10276, A6 = 0.19545 × 10−1,


A8 = −0.73712 × 10−2, A10 = 0.55142 × 10−1


Aspherical Surface Data of Surface r4


ε = 0.10000 × 10, A4 = 0.45950 × 10−1,


A6 = 0.47759 × 10−2, A8 = 0.79466 × 10−2, A10 = −0.12984 × 10−1


Aspherical Surface Data of Surface r5


ε = 0.11091, A4 = 0.12806, A6 = −0.70237 × 10−1,


A8 = 0.26286 × 10−1, A10 = −0.27364 × 10−2


Aspherical Surface Data of Surface r6


ε = 0.10000 × 10, A4 = −0.85336 × 10−1, A6 = 0.25832 × 10−1,


A8 = −0.89579 × 10−2, A10 = 0.67422 × 10−3


Aspherical Surface Data of Surface r7


ε = −0.50000 × 10, A4 = −0.52773 × 10−1, A6 = 0.17861 × 10−1,


A8 = −0.46675 × 10−2, A10 = 0.43220 × 10−3
















TABLE 13







Example 13


f = 3.507, FNO = 2.8










Radius of
Axial
Refractive
Abbe


Curvature
Distance
Index
Number





 r1* = 68.391  






d1 = 0.872
N1 = 1.53048
ν1 = 55.72 (L1)


r2* = −6.304



d2 = 0.938


  r3 = ∞ (ST)



d3 = 0.500


r4* = −3.703



d4 = 1.649
N2 = 1.53048
ν2 = 55.72 (L2)


r5* = −0.852



d5 = 0.100


 r6* = 11.946  



d6 = 0.700
N3 = 1.58340
ν3 = 30.23 (L3)


r7* = 1.225  



d7 = 1.000


r8 = ∞    



d8 = 0.500
N4 = 1.51680
ν4 = 64.20 (GF)


r9 = ∞    







Aspherical Surface Data of Surface r1


ε = 0.51000 × 102, A4 = 0.56767 × 10−2, A6 = 0.35339 × 10−2,


A8 = −0.16790 × 10−2, A10 = 0.18541 × 10−3


Aspherical Surface Data of Surface r2


ε = 0.15652 × 102, A4 = 0.29585 × 10−1, A6 = 0.49258 × 10−2,


A8 = −0.68370 × 10−2, A10 = 0.21683 × 10−2


Aspherical Surface Data of Surface r4


ε = 0.14877 × 10, A4 = −0.79140 × 10−1, A6 = −0.47628 × 10−1,


A8 = 0.48397 × 10−1, A10 = −0.11082


Aspherical Surface Data of Surface r5


ε = −0.10000 × 10, A4 = −0.10074 × 10−1, A6 = −0.10146,


A8 = 0.69391 × 10−1, A10 = −0.22979 × 10−1


Aspherical Surface Data of Surface r6


ε = 0.21028 × 10, A4 = −0.38111 × 10−1, A6 = 0.40875 × 10−2,


A8 = 0.27790 × 10−2, A10 = −0.24091 × 10−2


Aspherical Surface Data of Surface r7


ε = −0.60000 × 10, A4 = −0.45478 × 10−1, A6 = 0.20696 × 10−1,


A8 = −0.67145 × 10−2, A10 = 0.63538 × 10−3
















TABLE 14







Example 14


f = 4.046, FNO = 2.8










Radius of
Axial
Refractive
Abbe


Curvature
Distance
Index
Number





r1* = 5.219






d1 = 1.013
N1 = 1.53048
ν1 = 55.72 (L1)


  r2* = −64.896 



d2 = 0.748


  r3 = ∞ (ST)



d3 = 0.500


  r4* = −4.392



d4 = 1.756
N2 = 1.53048
ν2 = 55.72 (L2)


  r5* = −0.904



d5 = 0.100


 r6* = 20.088



d6 = 0.725
N3 = 1.58340
ν3 = 30.23 (L3)


r7* = 1.208



d7 = 1.000


 r8 = ∞   



d8 = 0.500
N4 = 1.51680
ν4 = 64.20 (GF)


 r9 = ∞   







Aspherical Surface Data of Surface r1


ε = −0.70781 × 10, A4 = 0.89349 × 10−2, A6 = 0.47221 × 10−2,


A8 = −0.10936 × 10−2, A10 = 0.26309 × 10−3


Aspherical Surface Data of Surface r2


ε = −0.14000 × 102, A4 = 0.21091 × 10−1, A6 = 0.65881 × 10−2,


A8 = −0.31253 × 10−2, A10 = 0.14822 × 10−2


Aspherical Surface Data of Surface r4


ε = 0.21386 × 10, A4 = −0.36204 × 10−1, A6 = −0.25647 × 10−1,


A8 = 0.63204 × 10−1, A10 = −0.70302 × 10−1


Aspherical Surface Data of Surface r5


ε = −0.97822, A4 = 0.29364 × 10−1, A6 = −0.10042,


A8 = 0.61685 × 10−1, A10 = −0.15831 × 10−1


Aspherical Surface Data of Surface r6


ε = −0.20000 × 10, A4 = −0.46735 × 10−1, A6 = 0.63444 × 10−2,


A8 = 0.57281 × 10−2, A10 = −0.26912 × 10−2


Aspherical Surface Data of Surface r7


ε = −0.60000 × 10, A4 = −0.60010 × 10−1, A6 = 0.24137 × 10−1,


A8 = −0.56437 × 10−2, A10 = 0.43112 × 10−3
















TABLE 15







Example 15


f = 4.057, FNO = 2.8










Radius of
Axial
Refractive
Abbe


Curvature
Distance
Index
Number





r1* = 3.887






d1 = 1.137
N1 = 1.53048
ν1 = 55.72 (L1)


 r2* = 50.974



d2 = 0.745


  r3 = ∞ (ST)



d3 = 0.500


  r4* = −3.040



d4 = 1.696
N2 = 1.53048
ν2 = 55.72 (L2)


  r5* = −1.374



d5 = 0.100


r6* = 1.971



d6 = 0.700
N3 = 1.58340
ν3 = 30.23 (L3)


r7* = 1.157



d7 = 1.000


 r8 = ∞   



d8 = 0.500
N4 = 1.51680
ν4 = 64.20 (GF)


 r9 = ∞   







Aspherical Surface Data of Surface r1


ε = −0.17782 × 10, A4 = 0.61057 × 10−2, A6 = 0.14542 × 10−2,


A8 = −0.49868 × 10−3, A10 = 0.16539 × 10−3


Aspherical Surface Data of Surface r2


ε = 0.16000 × 102, A4 = 0.61220 × 10−2, A6 = −0.75168 × 10−3,


A8 = 0.15948 × 10−2, A10 = −0.17231 × 10−4


Aspherical Surface Data of Surface r4


ε = 0.84433, A4 = 0.61538 × 10−2, A6 = −0.21453, A8 = 0.30585,


A10 = −0.20991


Aspherical Surface Data of Surface r5


ε = 0.36507, A4 = −0.44642 × 10−1, A6 = 0.12082 × 10−1,


A8 = 0.88202 × 10−2, A10 = −0.56296 × 10−2


Aspherical Surface Data of Surface r6


ε = −0.20000 × 10, A4 = −0.14745, A6 = 0.32555 × 10−1,


A8 = 0.43398 × 10−2, A10 = −0.22720 × 10−2


Aspherical Surface Data of Surface r7


ε = −0.19045 × 10, A4 = −0.97978 × 10−1, A6 = 0.23732 × 10−1,


A8 = −0.25696 × 10−2, A10 = −0.40956 × 10−5
















TABLE 16







Example 16


f = 5.413, FNO = 2.8










Radius of
Axial
Refractive
Abbe


Curvature
Distance
Index
Number





r1* = 3.262






d1 = 1.267
N1 = 1.53048
ν1 = 55.72 (L1)


 r2* = 20.506



d2 = 0.605


  r3 = ∞ (ST)



d3 = 1.011


  r4* = −2.627



d4 = 1.329
N2 = 1.53048
ν2 = 55.72 (L2)


  r5* = −1.750



d5 = 0.100


r6* = 6.747



d6 = 1.769
N3 = 1.58340
ν3 = 30.23 (L3)


r7* = 2.711



d7 = 0.500


 r8 = ∞   



d8 = 0.500
N4 = 1.51680
ν4 = 64.20 (GF)


 r9 = ∞   







Aspherical Surface Data of Surface r1


ε = 0.23583, A4 = 0.42634 × 10−2, A6 = 0.70946 × 10−3,


A8 = 0.83522 × 10−4, A10 = 0.22563 × 10−4


Aspherical Surface Data of Surface r2


ε = 0.13080 × 102, A4 = 0.76363 × 10−2,


A6 = −0.96051 × 10−3, A8 = 0.12099 × 10−2, A10 = −0.32280 × 10−3


Aspherical Surface Data of Surface r4


ε = 0.14778 × 10, A4 = 0.46580 × 10−2, A6 = −0.48590 × 10−1,


A8 = 0.29449 × 10−1, A10 = −0.35940 × 10−2


Aspherical Surface Data of Surface r5


ε = 0.54871, A4 = −0.31360 × 10−1, A6 = 0.95481 × 10−2,


A8 = −0.21117 × 10−2, A10 = 0.74248 × 10−3


Aspherical Surface Data of Surface r6


ε = 0.35876 × 10−1, A4 = −0.60741 × 10−1, A6 = 0.13571 × 10−1,


A8 = −0.98325 × 10−3, A10 = −0.49719 × 10−4


Aspherical Surface Data of Surface r7


ε = −0.54011 × 10, A4 = −0.17861 × 10−1, A6 = 0.16540 × 10−3,


A8 = 0.11796 × 10−3, A10 = −0.10468 × 10−4
















TABLE 17







Example 17


f = 5.414, FNO = 2.8










Radius of
Axial
Refractive
Abbe


Curvature
Distance
Index
Number





r1* = 2.566






d1 = 1.227
N1 = 1.53048
ν1 = 55.72 (L1)


 r2* = 18.606



d2 = 0.369


  r3 = ∞ (ST)



d3 = 0.935


  r4* = −1.834



d4 = 1.208
N2 = 1.53048
ν2 = 55.72 (L2)


  r5* = −1.611



d5 = 0.100


r6* = 7.215



d6 = 1.581
N3 = 1.58340
ν3 = 30.23 (L3)


r7* = 2.841



d7 = 0.500


 r8 = ∞   



d8 = 0.500
N4 = 1.51680
ν4 = 64.20 (GF)


 r9 = ∞   







Aspherical Surface Data of Surface r1


ε = 0.16794, A4 = 0.43888 × 10−2, A6 = 0.28598 × 10−3,


A8 = 0.32325 × 10−3, A10 = −0.24401 × 10−3


Aspherical Surface Data of Surface r2


ε = −0.73024 × 10, A4 = −0.29787 × 10−2, A6 = −0.20862 × 10−2,


A8 = −0.10682 × 10−2, A10 = 0.34571 × 10−3


Aspherical Surface Data of Surface r4


ε = 0.12492 × 10, A4 = 0.29931 × 10−2, A6 = −0.49256 × 10−1,


A8 = 0.23979 × 10−1, A10 = 0.79079 × 10−3


Aspherical Surface Data of Surface r5


ε = 0.53675, A4 = −0.23290 × 10−1, A6 = 0.52301 × 10−2,


A8 = 0.10769 × 10−2, A10 = 0.44801 × 10−3


Aspherical Surface Data of Surface r6


ε = 0.20000 × 10, A4 = −0.66312 × 10−1, A6 = 0.15524 × 10−1,


A8 = −0.15169 × 10−2, A10 = −0.38654 × 10−4


Aspherical Surface Data of Surface r7


ε = −0.60000 × 10, A4 = −0.25548 × 10−1, A6 = 0.14515 × 10−2,


A8 = −0.25702 × 10−4, A10 = −0.80128 × 10−5
















TABLE 18







Example 18


f = 3.470, FNO = 2.8










Radius of
Axial
Refractive
Abbe


Curvature
Distance
Index
Number





r1* = 1.928






d1 = 1.028
N1 = 1.53048
ν1 = 55.72 (L1)


r2* = 2.310



d2 = 0.478


  r3 = ∞ (ST)



d3 = 0.300


r4* = 8.421



d4 = 1.304
N2 = 1.53048
ν2 = 55.72 (L2)


  r5* = −1.151



d5 = 0.655


  r6* = −0.468



d6 = 0.720
N3 = 1.58340
ν3 = 30.23 (L3)


  r7* = −0.694



d7 = 0.300


 r8 = ∞   



d8 = 0.500
N4 = 1.51680
ν4 = 64.20 (GF)


 r9 = ∞   







Aspherical Surface Data of Surface r1


ε = 0.10000 × 10, A4 = −0.45870 × 10−2, A6 = 0.29663 × 10−2,


A8 = −0.12412 × 10−2, A10 = −0.94981 × 10−3


Aspherical Surface Data of Surface r2


ε = 0.10000 × 10, A4 = −0.11631 × 10−1, A6 = 0.15359,


A8 = −0.35362, A10 = 0.22705


Aspherical Surface Data of Surface r4


ε = 0.10000 × 10, A4 = −0.12407, A6 = 0.87272 × 10−1,


A8 = −0.30646, A10 = 0.23712


Aspherical Surface Data of Surface r5


ε = 0.10000 × 10, A4 = 0.27864 × 10−1, A6 = 0.64946 × 10−1,


A8 = −0.13857, A10 = 0.11579


Aspherical Surface Data of Surface r6


ε = 0.13801, A4 = 0.36196, A6 = 0.16987, A8 = −0.10315,


A10 = 0.81031 × 10−1


Aspherical Surface Data of Surface r7


ε = 0.17413, A4 = 0.15173, A6 = 0.72208 × 10−1, A8 = −0.28908 × 10−1,


A10 = 0.74165 × 10−2
















TABLE 19







Example 19


f = 3.469, FNO = 2.8










Radius of
Axial
Refractive
Abbe


Curvature
Distance
Index
Number





r1* = 2.173






d1 = 1.103
N1 = 1.53048
ν1 = 55.72 (L1)


r2* = 2.584



d2 = 0.602


  r3 = ∞ (ST)



d3 = 0.328


r4* = 6.726



d4 = 1.283
N2 = 1.53048
ν2 = 55.72 (L2)


  r5* = −1.160



d5 = 0.736


  r6* = −0.459



d6 = 0.738
N3 = 1.58340
ν3 = 30.23 (L3)


  r7* = −0.680



d7 = 0.300


 r8 = ∞   



d8 = 0.500
N4 = 1.51680
ν4 = 64.20 (GF)


 r9 = ∞   







Aspherical Surface Data of Surface r1


ε = 0.10000 × 10, A4 = 0.87958 × 10−3, A6 = 0.42137 × 10−2,


A8 = −0.16799 × 10−3, A10 = −0.19193 × 10−3


Aspherical Surface Data of Surface r2


ε = 0.10000 × 10, A4 = 0.93253 × 10−2, A6 = 0.15533,


A8 = −0.24491, A10 = 0.13194


Aspherical Surface Data of Surface r4


ε = 0.10000 × 10, A4 = −0.98391 × 10−1,


A6 = 0.94609 × 10−1, A8 = −0.17520, A10 = 0.12094


Aspherical Surface Data of Surface r5


ε = 0.10000 × 10, A4 = 0.44653 × 10−1,


A6 = 0.55013 × 10−1, A8 = −0.12054, A10 = 0.11213


Aspherical Surface Data of Surface r6


ε = 0.13153, A4 = 0.36562, A6 = 0.16321,


A8 = −0.11039, A10 = 0.86597 × 10−1


Aspherical Surface Data of Surface r7


ε = 0.16282, A4 = 0.15658, A6 = 0.66062 × 10−1,


A8 = −0.28592 × 10−1, A10 = 0.75366 × 10−2
















TABLE 20







Example 20


f = 2.357, FNO = 2.8










Radius of
Axial
Refractive
Abbe


Curvature
Distance
Index
Number





r1* = 3.284






d1 = 0.988
N1 = 1.53048
ν1 = 55.72 (L1)


r2* = 8.603



d2 = 0.249


  r3 = ∞ (ST)



d3 = 0.231


r4* = 2.351



d4 = 1.000
N2 = 1.53048
ν2 = 55.72 (L2)


  r5* = −0.806



d5 = 0.367


  r6* = −0.328



d6 = 0.700
N3 = 1.58340
ν3 = 30.23 (L3)


  r7* = −0.557



d7 = 0.200


 r8 = ∞   



d8 = 0.500
N4 = 1.51680
ν4 = 64.20 (GF)


 r9 = ∞   







Aspherical Surface Data of Surface r1


ε = 0.10000 × 10, A4 = −0.82390 × 10−1, A6 = −0.51231 × 10−3,


A8 = −0.31114 × 10−1, A10 = 0.20505 × 10−1


Aspherical Surface Data of Surface r2


ε = 0.10000 × 10, A4 = −0.22908, A6 = 0.19307,


A8 = −0.66911, A10 = 0.11352 × 10


Aspherical Surface Data of Surface r4


ε = 0.10000 × 10, A4 = −0.31044, A6 = −0.13877,


A8 = 0.59855, A10 = −0.34008 × 10


Aspherical Surface Data of Surface r5


ε = 0.10000 × 10, A4 = 0.19846, A6 = 0.34588,


A8 = −0.10718 × 10, A10 = 0.22259 × 10


Aspherical Surface Data of Surface r6


ε = 0.14294, A4 = 0.16786 × 10, A6 = 0.77941,


A8 = −0.21235 × 10, A10 = 0.29745 × 10


Aspherical Surface Data of Surface r7


ε = 0.22025, A4 = 0.51811, A6 = 0.40947,


A8 = −0.41631, A10 = 0.19224
















TABLE 21







Example 21


f = 3.909, FNO = 2.8










Radius of
Axial
Refractive
Abbe


Curvature
Distance
Index
Number





r1* = 1.946  






d1 = 1.063
N1 = 1.53048
ν1 = 55.72 (L1)


r2* = 2.908  



d2 = 0.461


  r3 = ∞ (ST)



d3 = 0.369


 r4* = 25.898  



d4 = 1.214
N2 = 1.53048
ν2 = 55.72 (L2)


r5* = −1.222



d5 = 0.719


r6* = −0.512



d6 = 0.864
N3 = 1.58340
ν3 = 30.23 (L3)


r7* = −0.791



d7 = 0.300


r8 = ∞    



d8 = 0.500
N4 = 1.51680
ν4 = 64.20 (GF)


r9 = ∞    







Aspherical Surface Data of Surface r1


ε = 0.10000 × 10, A4 = −0.71083 × 10−2, A6 = 0.83355 × 10−2,


A8 = −0.43965 × 10−2, A10 = 0.15236 × 10−2


Aspherical Surface Data of Surface r2


ε = 0.10000 × 10, A4 = 0.48178 × 10−2, A6 = 0.77795 × 10−1,


A8 = −0.11808, A10 = 0.82135 × 10−1


Aspherical Surface Data of Surface r4


ε = 0.10000 × 10, A4 = −0.67192 × 10−1, A6 = 0.75859 × 10−2,


A8 = −0.45131 × 10−1, A10 = −0.15867 × 10−2


Aspherical Surface Data of Surface r5


ε = 0.10000 × 10, A4 = 0.57645 × 10−1, A6 = 0.64121 × 10−2,


A8 = −0.12843 × 10−1, A10 = 0.27561 × 10−1


Aspherical Surface Data of Surface r6


ε = 0.15149, A4 = 0.34428, A6 = 0.14586, A8 = −0.13119,


A10 = 0.71148 × 10−1


Aspherical Surface Data of Surface r7


ε = 0.19214, A4 = 0.13217, A6 = 0.45573 × 10−1, A8 = −0.23420 × 10−1,


A10 = 0.52064 × 10−2
















TABLE 22







Example 22


f = 3.792, FNO = 2.9










Radius of
Axial
Refractive
Abbe


Curvature
Distance
Index
Number





  r1 = ∞ (ST)






d1 = 0.150


r2* = 1.175



d2 = 0.958
N1 = 1.48749
ν1 = 70.44 (L1)


r3* = 2.520



d3 = 0.726


 r4* = 12.045



d4 = 1.253
N2 = 1.53048
ν2 = 55.72 (L2)


r5* = 4.669



d5 = 0.300


 r6 = ∞   



d6 = 0.500
N3 = 1.51680
ν3 = 64.20 (GF)


 r7 = ∞   







Aspherical Surface Data of Surface r2


ε = −0.40818 × 10, A4 = 0.33779,


A6 = −0.18548, A8 = 0.12890, A10 = −0.94438 × 10−2


Aspherical Surface Data of Surface r3


ε = 0.10000 × 10, A4 = 0.12179 × 10−1,


A6 = 0.35030, A8 = −0.60572, A10 = 0.79691


Aspherical Surface Data of Surface r4


ε = 0.10000 × 10, A4 = −0.12855, A6 = −0.15977,


A8 = 0.28053, A10 = −0.23948


Aspherical Surface Data of Surface r5


ε = 0.10000 × 10, A4 = −0.72820 × 10−1, A6 = 0.78301 × 10−2,


A8 = −0.69268 × 10−3, A10 = −0.83004 × 10−3
















TABLE 23







Example 23


f = 3.795, FNO = 2.9










Radius of
Axial
Refractive
Abbe


Curvature
Distance
Index
Number





  r1 = ∞ (ST)






d1 = 0.150


r2* = 1.235



d2 = 0.833
N1 = 1.53048
ν1 = 55.72 (L1)


r3* = 2.240



d3 = 1.007


r4* = 5.002



d4 = 1.120
N2 = 1.53048
ν2 = 55.72 (L2)


r5* = 3.959



d5 = 0.300


 r6 = ∞   



d6 = 0.500
N3 = 1.51680
ν3 = 64.20 (GF)


 r7 = ∞   







Aspherical Surface Data of Surface r2


ε = −0.46326 × 10, A4 = 0.33512, A6 = −0.19378,


A8 = 0.14280, A10 = −0.18959 × 10−1


Aspherical Surface Data of Surface r3


ε = 0.10000 × 10, A4 = 0.44728 × 10−1,


A6 = 0.30295, A8 = −0.48503, A10 = 0.63805


Aspherical Surface Data of Surface r4


ε = 0.10000 × 10, A4 = −0.92377 × 10−1,


A6 = −0.77511 × 10−1, A8 = 0.97891 × 10−1,


A10 = −0.57011 × 10−1


Aspherical Surface Data of Surface r5


ε = 0.10000 × 10, A4 = −0.61335 × 10−1,


A6 = −0.48871 × 10−2, A8 = 0.40637 × 10−2,


A10 = −0.13823 × 10−2
















TABLE 24







Example 24


f = 3.709, FNO = 2.9










Radius of
Axial
Refractive
Abbe


Curvature
Distance
Index
Number





  r1 = ∞ (ST)






d1 = 0.150


r2* = 1.255



d2 = 0.814
N1 = 1.53048
ν1 = 55.72 (L1)


r3* = 2.193



d3 = 1.013


r4* = 3.601



d4 = 1.078
N2 = 1.53048
ν2 = 55.72 (L2)


r5* = 3.769



d5 = 0.300


 r6 = ∞   



d6 = 0.500
N3 = 1.51680
ν3 = 64.20 (GF)


 r7 = ∞   







Aspherical Surface Data of Surface r2


ε = −0.46855 × 10, A4 = 0.32658, A6 = −0.20012,


A8 = 0.17345, A10 = −0.48587 × 10−1


Aspherical Surface Data of Surface r3


ε = 0.10000 × 10, A4 = 0.36697 × 10−1,


A6 = 0.29674, A8 = −0.43590, A10 = 0.53792


Aspherical Surface Data of Surface r4


ε = 0.10000 × 10, A4 = −0.95066 × 10−1,


A6 = −0.26867 × 10−1, A8 = 0.34964 × 10−1,


A10 = −0.21189 × 10−1


Aspherical Surface Data of Surface r5


ε = 0.10000 × 10, A4 = −0.53454 × 10−1, A6 = −0.64541 × 10−2,


A8 = 0.37370 × 10−2, A10 = −0.11340 × 10−2
















TABLE 25







Example 25


f = 2.537, FNO = 2.9










Radius of
Axial
Refractive
Abbe


Curvature
Distance
Index
Number





  r1 = ∞ (ST)






d1 = 0.100


r2* = 0.957



d2 = 0.700
N1 = 1.53048
ν1 = 55.72 (L1)


r3* = 1.385



d3 = 0.513


r4* = 1.715



d4 = 0.755
N2 = 1.53048
ν2 = 55.72 (L2)


r5* = 3.245



d5 = 0.200


 r6 = ∞   



d6 = 0.500
N3 = 1.51680
ν3 = 64.20 (GF)


 r7 = ∞   







Aspherical Surface Data of Surface r2


ε = −0.70202 × 10, A4 = 0.96112, A6 = −0.16643 × 10,


A8 = 0.26598 × 10, A10 = −0.17468 × 10


Aspherical Surface Data of Surface r3


ε = 0.10000 × 10, A4 = −0.11476, A6 = 0.19645 × 10,


A8 = −0.54091 × 10, A10 = 0.85369 × 10


Aspherical Surface Data of Surface r4


ε = 0.10000 × 10, A4 = −0.20459, A6 = −0.15755,


A8 = 0.39537, A10 = −0.29209


Aspherical Surface Data of Surface r5


ε = 0.10000 × 10, A4 = 0.10628 × 10−1,


A6 = −0.23532, A8 = 0.19577, A10 = −0.67370 × 10−1






















TABLE 26







Condition (1) D/f








Condition






(
2
)

,





(

2

a

)








(

R1
+
R2

)


(

R1
-
R2

)

















Condition






(
3
)

,





(

3

a

)








(

R3
+
R4

)


(

R3
-
R4

)









Condition (4), (4a) f/f1
Condition (5), (5a) f/f2





















Example 1
0.94
0.90
−4.67
1.55
−0.09


Example 2
0.98
0.85
−4.30
1.58
−0.19


Example 3
0.94
0.88
−4.46
1.55
−0.21


Example 4
1.12
1.35
−7.16
1.36
0.16


Example 5
1.13
1.29
−6.57
1.38
0.11


Example 6
1.20
0.81
−6.99
1.38
0.31


Example 7
1.16
1.08
−8.09
1.30
0.15


Example 8
0.84
0.44
−1.15
1.46
−1.12


Example 9
0.84
0.49
−1.30
1.52
−1.24






















TABLE 27






Power

Condi-

Condition
Condition



Ar-

tion
Condition
(A2), (B2)
(A3), (B3)


Lens
range-
Ex-
(A0)
(A1), (B1)
(A2a), (A2b)
(A3a)


Type
ment
ample
|f/f1|
f/f3
f3/f1
T6/f





















A
−, +, −
10
0.325
−0.865

0.296




11
0.243
−1.252

0.202




12
0.442
−1.679

0.202



+, +, −
13
0.321
−1.810
−0.244
0.179




14
0.218
−1.463
−0.219
0.200




15


−0.895
0.173




16


−1.299
0.327




17


−1.695
0.292


B
+, +, +
18

0.245
1.247
0.207




19

0.335
0.775
0.213




20

0.214
1.172
0.297




21

0.224
2.173
0.221






















TABLE 28







Condition
Condition
Condition
Condition
Condition



(I)
(II)
(III)
(IV)
(V)



|f2|/f1
T1/f
f/Y′
V2
TA/f





















Example 22
4.2
0.25
1.72
55.72
0.19


Example 23
14.1
0.22
1.73
55.72
0.27


Example 24
11.1
0.22
1.69
55.72
0.27


Example 25
1.6
0.28
1.69
55.72
0.20








Claims
  • 1. A two-lens-element taking lens system for forming an image on a solid-state image sensor, comprising, from an object side: an aperture stop; a positive lens element; and a meniscus lens element convex to an image side, wherein the following conditions are fulfilled: 0.4<D/f<1.9 −9<(R3+R4)/R3−R4)<−2
  • 2. A taking lens system as claimed in claim 1, wherein the positive lens element and the meniscus lens element are both plastic lens elements.
  • 3. A taking lens system as claimed in claim 1, wherein the positive lens element and the meniscus lens element each include at least one aspherical surface.
  • 4. A taking lens system as claimed in claim 1, wherein the positive lens element has a convex surface on an image side thereof.
  • 5. A two-lens-element taking lens system for forming an image on a solid-state image sensor, comprising, from an object side: a first lens element having a meniscus shape with a convex surface on an object side thereof and having a positive optical power; and a second lens element having a meniscus shape with a concave surface on an image side thereof, wherein the following conditions are fulfilled: 1.4<f/Y′<1.9,
  • 6. A taking lens system as claimed in claim 5, wherein the following condition is fulfilled: V2>40 where V2 represents an Abbe number of the seconds lens element.
  • 7. A taking lens system as claimed in claim 5, further comprising: an aperture stop disposed on an object side of the first lens element.
  • 8. A taking lens system as claimed in claim 5, wherein the second lens element has a negative optical power.
  • 9. A two-lens-element taking lens system for forming an image on a solid-state image sensor, comprising, from an object side: a first lens element having a meniscus shape with a convex surface on an object side thereof and having a positive optical power; and a second lens element having a meniscus shape with a concave surface on an image side thereof, wherein the following conditions are fulfilled: 1.4<f/Y′<1.9,
  • 10. A taking lens system as claimed in claim 9, wherein the following condition is fulfilled: V2>40 where V2 represents an Abbe number of the second lens element.
  • 11. A taking lens system as claimed in claim 9, further comprising: an aperture stop disposed on an object side of the first lens element.
  • 12. A taking lens system as claimed in claim 9, wherein the second lens element has a negative optical power.
Priority Claims (5)
Number Date Country Kind
2001-361363 Nov 2001 JP national
2002-220692 Jul 2002 JP national
2002-220699 Jul 2002 JP national
2002-272934 Sep 2002 JP national
2002-272939 Sep 2002 JP national
US Referenced Citations (6)
Number Name Date Kind
5475536 Kikutani Dec 1995 A
5739965 Ohno Apr 1998 A
5835281 Ohno Nov 1998 A
5917661 Tochigi et al. Jun 1999 A
6011648 Mukai et al. Jan 2000 A
6650485 Shinohara Nov 2003 B2
Foreign Referenced Citations (7)
Number Date Country
01-245211 Sep 1989 JP
06-088939 Mar 1994 JP
06-073585 Oct 1995 JP
11-052227 Feb 1999 JP
2001-183578 Jul 2001 JP
2001-272598 Oct 2001 JP
2002-098889 Apr 2002 JP
Related Publications (1)
Number Date Country
20030210341 A1 Nov 2003 US