Imaging lens

Information

  • Patent Grant
  • 11619803
  • Patent Number
    11,619,803
  • Date Filed
    Monday, December 30, 2019
    5 years ago
  • Date Issued
    Tuesday, April 4, 2023
    a year ago
Abstract
An imaging lens includes a first lens having positive refractive power; a second lens having negative refractive power; a third lens having negative refractive power; a fourth lens having positive refractive power; a fifth lens; a sixth lens; a seventh lens; an eighth lens; and a ninth lens having negative refractive power. The lenses are arranged in this order from an object side to an image plane side. The ninth lens is formed in a shape so that a surface thereof on the image plane side has an aspherical shape having an inflection point.
Description
BACKGROUND OF THE INVENTION AND RELATED ART STATEMENT

The present invention relates to an imaging lens for forming an image of an object on an imaging element such as a CCD sensor and a CMOS sensor. In particular, the present invention relates to an imaging lens suitable for mounting in a relatively small camera such as a camera to be built in a portable device, e.g., a cellular phone and a portable information terminal, a digital still camera, a security camera, an onboard camera, and a network camera.


In case of a lens configuration comprised of nine lenses, since the number of lenses that compose the imaging lens is large, it has higher flexibility in designing and can satisfactorily correct aberrations required for an imaging lens with high resolution. For example, as the conventional imaging lens having such nine-lens configuration, an imaging lens described in Patent Reference has been known.


PATENT REFERENCE

Patent Reference: Japanese Patent Application Publication No. 2018-156011


According to the conventional imaging lens of Patent Reference, it is achievable to relatively satisfactorily correct aberrations. In case of the conventional imaging lens, however, a total track length is long relative to a focal length of the whole lens system, so that it is not suitable to mount in a small-sized camera, such as the one to be built in a smartphone. According to the conventional imaging lens of Patent Reference, it is difficult to satisfactorily correct aberrations further, while downsizing the imaging lens.


In view of the above-described problems in the conventional techniques, an object of the present invention is to provide an imaging lens that can attain both a small size and satisfactorily corrected aberrations in a balanced manner.


Further objects and advantages of the present invention will be apparent from the following description of the invention.


SUMMARY OF THE INVENTION

The imaging lens of the invention forms an image of an object on an imaging element. More specifically, in order to attain the objects described above, according to a first aspect of the present invention, an imaging lens includes a first lens having positive refractive power, a second lens having negative refractive power, a third lens having negative refractive power, a fourth lens having positive refractive power, a fifth lens, a sixth lens, a seventh lens, an eighth lens and a ninth lens having negative refractive power, arranged in the order from an object side to an image plane side. A surface of the ninth lens on the image plane side is formed in an aspheric shape having an inflection point.


According to the imaging lens of the invention, among the nine lenses, the arrangement of refractive power of the four lenses disposed on the object side is in the order of “positive-negative-negative-positive”, so that it is suitably achievable to downsize the imaging lens, while satisfactorily correcting the aberrations including a chromatic aberration and a spherical aberration. According to the imaging lens of the invention, among the lenses, the first lens having positive refractive power is disposed to be the closest to the object side, so that it is achievable to downsize the imaging lens. Since the first lens has positive refractive power, by disposing the second lens having negative refractive power on an image plane side of the first lens, it is achievable to satisfactorily correct the chromatic aberration. However, with downsizing of the imaging lens, the negative refractive power of the second lens has been increasing. According to the invention, the third lens disposed on an image plane side of the second lens also has negative refractive power. Therefore, it is achievable to attain a smaller size of the imaging lens as well as wider angle of view of the imaging lens, while restraining the increase of the negative refractive power of the second lens. In addition, on image plane sides of the second lens and the third lens, a fourth lens having positive refractive power is disposed. Therefore, it is achievable to satisfactorily correct the chromatic aberration and the spherical aberration.


According to the imaging lens of the invention, the ninth lens disposed being the closest to the image plane side has negative refractive power. Therefore, it is achievable to secure a back focal length, while satisfactorily correcting the field curvature and the distortion near periphery of an image. In addition, according to the invention, an image plane-side surface of the ninth lens is formed in an aspheric shape having an inflexion point. Therefore, it is achievable to satisfactorily correct paraxial aberrations and aberrations at the periphery thereof, while restraining an incident angle of a light beam emitted from the imaging lens to the image plane of an imaging element within the range of chief ray angle (CRA).


Here, in the invention, “lens” refers to an optical element having refractive power. Accordingly, the “lens” of the invention does not include an optical element such as a prism and a flat plate filter. Those optical elements may be disposed before or after the imaging lens or between lenses as necessary.


When a composite focal length of the first lens, the second lens and the third lens is f123, the imaging lens having the above-described configuration preferably satisfies the following conditional expression (1):

0<f123  (1)


When the imaging lens satisfies this conditional expression (1), it is achievable to reduce a ratio of the total track length to the maximum image height of an image plane, and thereby to suitably attain downsizing of the imaging lens.


When a composite focal length of the fourth lens, the fifth lens and the sixth lens is f456, the imaging lens having the above-described configuration preferably satisfies the following conditional expression (2):

0<f456  (2)


For downsizing of the imaging lens, it is preferred to dispose a lens(es) having a positive refractive power on the object side. However, when the positive refractive powers of those lenses are too strong, it is difficult to correct the aberrations. When the imaging lens satisfies the conditional expression (2), the positive refractive powers of those lenses disposed on the object side are also shared with the fourth lens, the fifth lens and the sixth lens. Therefore, it is achievable to suitably restrain generation of the aberrations.


When a composite focal length of the seventh lens, the eighth lens and the ninth lens is f789, the imaging lens having the above-described configuration preferably satisfies the following conditional expression (3):

f789<0  (3)


When the imaging lens satisfies the conditional expression (3), the composite refractive power of the three lenses disposed close to the image plane side is negative and thereby the imaging lens can securely have a telephoto function. Therefore, it is achievable to suitably downsize the imaging lens.


When the whole lens system has the focal length f and the first lens has a focal length f1, the imaging lens having the above-described configuration preferably satisfies the following conditional expression (4):

0.4<f1/f<2.0  (4)


When the imaging lens satisfies the conditional expression (4), it is achievable to satisfactorily correct the spherical aberration, while downsizing the imaging lens.


When the first lens has the focal length f1 and the second lens has a focal length f2, the imaging lens having the above-described configuration preferably satisfies the following conditional expression (5):

−6<f2/f1<−1  (5)


When the imaging lens satisfies the conditional expression (5), it is achievable to satisfactorily correct the chromatic aberration and the spherical aberration, while downsizing the imaging lens.


When the whole lens system has the focal length f and the second lens has the focal length f2, the imaging lens having the above-described configuration preferably satisfies the following conditional expression (6):

−5<f2/f<−0.5  (6)


When the imaging lens satisfies the conditional expression (6), it is achievable to satisfactorily correct the chromatic aberration, while downsizing the imaging lens.


When the whole lens system has the focal length f and a composite focal length of the second lens and the third lens is f23, the imaging lens having the above-described configuration preferably satisfies the following conditional expression (7):

−5<f23/f<−0.5  (7)


When the imaging lens satisfies the conditional expression (7), it is achievable to satisfactorily correct the chromatic aberration, while downsizing the imaging lens.


According to a second aspect of the invention, when the second lens has the focal length f2 and the third lens has a focal length f3, the imaging lens having the above-described configuration preferably satisfies the following conditional expression (8):

0.1<f2/f3<1.2  (8)


When the imaging lens satisfies the conditional expression (8), it is achievable to satisfactorily correct the chromatic aberration, while downsizing the imaging lens. In addition, when the imaging lens satisfies the conditional expression (8), it is achievable to suitably restrain within a satisfactory range so-called “manufacturing error sensitivity”, i.e., sensitivity to deterioration of image-forming performance in decentering, tilting, etc., which occurs in manufacturing of the imaging lens.


When the whole lens system has the focal length f and the third lens has the focal length f3, the imaging lens having the above-described configuration preferably satisfies the following conditional expression (9):

−20<f3/f<−5  (9)


According to the imaging lens of the invention, the two lenses, the second lens and the third lens, have negative refractive powers. The third lens functions as an auxiliary lens of the second lens and mainly corrects aberrations. When the imaging lens satisfies the conditional expression (9), it is achievable to restrain the spherical aberration and the chromatic aberration in a balanced manner, within satisfactory ranges.


According to the imaging lens having the above-described configuration, the seventh lens is preferably formed in a shape such that a curvature radius of a surface thereof on the object-side and a curvature radius of a surface thereof on the image plane side are both positive, or such that those curvature radii are both negative, i.e., so as to have a shape of a meniscus lens near the optical axis.


When the seventh lens has strong refractive power, it is often difficult to correct the spherical aberration, field curvature and distortion. When the seventh lens is formed to have a shape of a meniscus lens near the optical axis, it is achievable to satisfactorily correct the spherical aberration, the field curvature and the distortion.


To form the seventh lens to have a shape of a meniscus lens near the optical axis, when a curvature radius of an object-side surface of the seventh lens is R7f and a curvature radius of an image plane-side surface of the seventh lens is R7r, the imaging lens having the above-described configuration preferably satisfies the following conditional expression (10):

0.5<R7f/R7r<2  (10)


When the imaging lens satisfies the conditional expression (10), the seventh lens can have a generally flat shape, i.e., a shape close to the one having less sag amount. Therefore, it is achievable to restrain the manufacturing cost of the imaging lens through improving the workability in the production. In addition, when the imaging lens satisfies the conditional expression (10), it is achievable to satisfactorily correct the field curvature and the distortion.


According to the imaging lens having the above-described configuration, the seventh lens is preferably formed to have a shape of a meniscus lens directing a concave surface thereof to the object side.


When the object-side surface of the seventh lens has a concave shape, it is achievable to keep the incident angle of a light beam to the seventh lens low and to restrain generation of a coma aberration.


When a curvature radius of the object-side surface of the eighth lens is R8f and a curvature radius of the image plane-side surface of the eighth lens is R8r, the imaging lens having the above-described configuration preferably satisfies the following conditional expression (11):

0.1<R8f/R8r<1.5  (11)


When the imaging lens satisfies the conditional expression (11), the eighth lens can have a generally flat shape, so that it is achievable to restrain the manufacturing cost of the imaging lens. In addition, when the imaging lens satisfies the conditional expression (11), it is achievable to satisfactorily correct the field curvature and the distortion.


According to the imaging lens having the above-described configuration, the eighth lens is preferably formed in a shape such that a curvature radius of a surface thereof on the object-side and a curvature radius of a surface thereof on the image plane side are both positive, i.e., so as to have a shape of a meniscus lens directing a convex surface thereof to the object side near the optical axis. In addition, two surfaces of the eighth lens are preferably formed in an aspheric shape having an inflection point. When the eighth lens is formed to have a shape of a meniscus lens near the optical axis, it is achievable to satisfactorily correct the spherical aberration, the field curvature and the distortion. Forming the both surfaces of the eighth lens in aspheric shapes having an inflexion point, it is achievable to suitably restrain an incident angle of a light beam emitted from the imaging lens to the image plane of an imaging element within the range of CRA.


When a thickness of the seventh lens on the optical axis is T7 and the thickness of the eighth lens on the optical axis is T8, the imaging lens having the above-described configuration preferably satisfies the following conditional expression (12):

0.5<T8/T7<4  (12)


When the imaging lens satisfies the conditional expression (12), it is achievable to secure the back focal length, while downsizing the imaging lens.


When the distance on the optical axis between the sixth lens and the seventh lens is D67 and the distance on the optical axis between the eighth lens and the ninth lens is D89, the imaging lens having the above-described configuration preferably satisfies the following conditional expression (13):

0.1<D67/D89<0.7  (13)


To attain lower profile of the imaging lens, a lens disposed closer to the image plane side tends to have a larger effective diameter. When a plurality of lenses having a large effective diameter is disposed, typically, interference between lenses occur at periphery of the lenses and it is difficult to produce and/or assemble the imaging lens because of the too narrow intervals between the lenses. When the imaging lens satisfies the conditional expression (13), it is achievable to downsize the imaging lens, while securing appropriate intervals on the optical axis among the sixth lens, the seventh lens, the eighth lens and the ninth lens. Moreover, when the imaging lens satisfies the conditional expression (13), it is achievable to satisfactorily correct the chromatic aberration of magnification and the field curvature.


According to a third aspect of the invention, when the whole lens system has the focal length f and a distance on the optical axis between the eighth lens and the ninth lens is D89, the imaging lens having the above-described configuration preferably satisfies the following conditional expression (14):

0.05<D89/f<0.15  (14)


When the imaging lens satisfies the conditional expression (14), it is achievable to satisfactorily correct the field curvature, the astigmatism and the distortion in a well-balanced manner, while securing the back focal length.


When the composite focal length of the eighth lens and the ninth lens is f89, the imaging lens having the above-described configuration preferably satisfies the following conditional expression (15):

−5<f89/f<−0.3  (15)


When the imaging lens satisfies the conditional expression (15), it is achievable to satisfactorily correct the field curvature and the distortion, while securing the back focal length. In addition, it is also achievable to suitably restrain an incident angle of a light beam emitted from the imaging lens to an image plane of an imaging element within the range of CRA.


According to a fourth aspect of the invention, when the whole lens system has the focal length f and a paraxial curvature radius of an image plane-side surface of the ninth lens is R9r, the imaging lens having the above-described configuration preferably satisfies the following conditional expression (16):

0.2<R9r/f<0.6  (16)


The image plane-side surface of the ninth lens is a surface positioned closest to the image plane side in the imaging lens. Difficulty of correcting the astigmatism, the coma aberration and the distortion varies depending on the magnitude of the refractive power of the image plane-side surface of the ninth lens. When the imaging lens satisfies the conditional expression (16), it is achievable to secure the back focal length, while downsizing the imaging lens. When the imaging lens satisfies the conditional expression (16), it is achievable to restrain the astigmatism, the coma aberration and the distortion in a well-balanced manner within satisfactory ranges.


According to a fifth aspect of the invention, when the whole lens system has the focal length f and the ninth lens has a focal length f9, the imaging lens having the above-described configuration preferably satisfies the following conditional expression (17):

−2<f9/f<−0.2  (17)


When the imaging lens satisfies the conditional expression (17), it is achievable to satisfactorily correct the field curvature and the distortion, while securing the back focal length. In addition, it is also achievable to suitably restrain the incident angle of a light beam emitted from the imaging lens to an image plane of an imaging element within the range of CRA.


To satisfactorily correct the axial chromatic aberration and the chromatic aberration of magnification, when the first lens has Abbe's number νd1 and the second lens has Abbe's number νd2, the imaging lens having the above-described configuration preferably satisfies the following conditional expressions (18) and (19):

35<νd1<75  (18)
15<νd2<35  (19)


To satisfactorily correct the chromatic aberration of magnification, when the ninth lens has Abbe's number νd9, the imaging lens having the above-described configuration preferably satisfies the following conditional expression (20):

35<νd9<75  (20)


When the whole lens system has the focal length f and a distance on the optical axis from an object-side surface of the first lens to the image plane is TL, the imaging lens having the above-described configuration preferably satisfies the following conditional expression (21). When the imaging lens satisfies the conditional expression (21), it is achievable to suitably downsize the imaging lens.

1.0<TL/f<1.4  (21)


Here, between the imaging lens and the image plane, typically, there is disposed an insert such as an infrared cut-off filter and cover glass. In this specification, for the distance on the optical axis of those inserts, a distance in the air is employed.


In these years, as smartphones, etc. to mount an imaging lens are smaller, the imaging lens has been increasingly required to attain both a smaller size and wider angle of view in a balanced manner than before. Especially, in case of an imaging lens to be mounted in a thin portable device, such as smartphones, it is necessary to hold the imaging lens within a limited space. Therefore, there is a strict limitation in the total length of the imaging lens in the optical axis relative to a size of the imaging element. When the distance on the optical axis from the object-side surface of the first lens to the image plane is TL and the maximum image height is Hmax, the imaging lens of the present invention preferably satisfies the following conditional expression (22):

1.0<TL/Hmax<1.8  (22)


In case that the sixth lens has positive refractive power, when the whole lens system has the focal length f and the sixth lens has a focal length f6, the imaging lens having the above-described configuration preferably satisfies the following conditional expression (23):

1<f6/f<3  (23)


When the imaging lens satisfies the conditional expression (23), it is achievable to satisfactorily correct the field curvature, the distortion and the chromatic aberration, while downsizing the imaging lens.


In case that the seventh lens has positive refractive power, when the whole lens system has the focal length f and the seventh lens has a focal length f7, the imaging lens having the above-described configuration preferably satisfies the following conditional expression (24):

1<f7/f<6  (24)


When the imaging lens satisfies the conditional expression (24), it is achievable to satisfactorily correct the field curvature, the distortion and the chromatic aberration, while downsizing the imaging lens.


In case that both of the sixth lens and the seventh lens have negative refractive powers, when the whole lens system has the focal length f and a composite focal length of the sixth lens and the seventh lens is f67, the imaging lens having the above-described configuration preferably satisfies the following conditional expression (25):

−10<f67/f<−5  (25)


When the imaging lens satisfies the conditional expression (25), it is achievable to satisfactorily correct the field curvature, the distortion and the chromatic aberration, while downsizing the imaging lens.


In case that the eighth lens has positive refractive power, when the whole lens system has the focal length f and the eighth lens has a focal length f8, the imaging lens having the above-described configuration preferably satisfies the following conditional expression (26):

1<f8/f<5  (26)


When the imaging lens satisfies the conditional expression (26), it is achievable to satisfactorily restrain the field curvature, the distortion and the chromatic aberration, within satisfactory ranges in a well-balanced manner.


According to the invention, the respective lenses from the first lens to the ninth lens are preferably arranged with certain air intervals. When the respective lenses are arranged at certain air intervals, the imaging lens of the invention can have a lens configuration that does not contain any cemented lens. In such lens configuration like this, since it is easy to form all of the nine lenses that compose the imaging lens from plastic materials, it is achievable to suitably restrain the manufacturing cost of the imaging lens.


According to the imaging lens of the invention, it is preferred to form both surfaces of each of the first through the ninth lenses in aspheric shapes. Forming the both surfaces of each lens in aspheric surfaces, it is achievable to more satisfactorily correct aberrations from proximity of the optical axis of the lens to the periphery thereof. Especially, it is achievable to satisfactorily correct aberrations at periphery of the lens(es).


According to the imaging lens having the above-described configuration, the first lens is preferably formed in a shape directing a convex surface thereof to the object side. When the first lens is formed in such a shape, it is achievable to suitably downsize the imaging lens.


According to the imaging lens having the above-described configuration, in the eighth lens and the ninth lens, at least two surfaces thereof are preferably formed in an aspheric shape having an inflection point. In addition to the image plane-side surface of the ninth lens, when one or more surfaces are further formed in aspheric shapes having an inflection point, it is achievable to more satisfactorily correct aberrations at periphery of an image, while suitably restraining an incident angle of a light beam emitted from the imaging lens to the image plane within the range of CRA.


According to the invention, when the imaging lens has an angle of view 2ω, the imaging lens preferably satisfies 65°≤2ω. When the imaging lens satisfies this conditional expression, it is possible to attain a wide angle of the imaging lens, and thereby to suitably attain both downsizing and wider angle of the imaging lens in a balanced manner.


In case of an imaging element with a high pixel count, a light-receiving area of each pixel decreases, so that an image tends to be dark. As a method of correcting such darkness of the image, there is a method of improving light-receiving sensitivity of the imaging element by using an electrical circuit. However, when the light-receiving sensitivity increases, a noise component, which does not directly contribute to formation of an image, is also amplified. Accordingly, in order to obtain fully bright image without such electrical circuit, when the whole lens system has the focal length f and the imaging lens has a diameter of entrance pupil Dep, the imaging lens having the above-described configuration preferably satisfies the following conditional expression (27):

f/Dep<2.4  (27)


Here, according to the present invention, as described above, the shapes of the lenses are specified using positive/negative signs of the curvature radii thereof. Whether the curvature radius of the lens is positive or negative is determined based on general definition. More specifically, taking a traveling direction of light as positive, if a center of a curvature radius is on the image plane side when viewed from a lens surface, the curvature radius is positive. If a center of a curvature radius is on the object side, the curvature radius is negative. Therefore, “an object-side surface having a positive curvature radius” means the object-side surface has a convex shape. “An object-side surface having a negative curvature radius” means the object side surface has a concave shape. In addition, “an image plane-side surface having a positive curvature radius” means the image plane-side surface has a concave shape. “An image plane-side surface having a negative curvature radius” means the image plane-side surface has a convex shape. Here, a curvature radius used herein refers to a paraxial curvature radius, and may not fit to general shapes of the lenses in their sectional views all the time.


According to the imaging lens of the invention, it is achievable to provide an imaging lens having a small size, which is especially suitable for mounting in a small-sized camera, while having high resolution with satisfactory correction of aberrations.





BRIEF DESCRIPTION OF THE DRAWINGS


FIG. 1 shows a sectional view of a schematic configuration of an imaging lens in Numerical Data Example 1 of the present invention;



FIG. 2 is an aberration diagram showing a lateral aberration of the imaging lens of FIG. 1;



FIG. 3 is an aberration diagram showing a spherical aberration, astigmatism, and a distortion of the imaging lens of FIG. 1;



FIG. 4 shows a sectional view of a schematic configuration of an imaging lens in Numerical Data Example 2 of the present invention;



FIG. 5 is an aberration diagram showing a lateral aberration of the imaging lens of FIG. 4;



FIG. 6 is an aberration diagram showing a spherical aberration, astigmatism, and a distortion of the imaging lens of FIG. 4;



FIG. 7 shows a sectional view of a schematic configuration of an imaging lens in Numerical Data Example 3 of the present invention;



FIG. 8 is an aberration diagram showing a lateral aberration of the imaging lens of FIG. 7;



FIG. 9 is an aberration diagram showing a spherical aberration, astigmatism, and a distortion of the imaging lens of FIG. 7;



FIG. 10 shows a sectional view of a schematic configuration of an imaging lens in Numerical Data Example 4 of the present invention;



FIG. 11 is an aberration diagram showing a lateral aberration of the imaging lens of FIG. 10;



FIG. 12 is an aberration diagram showing a spherical aberration, astigmatism, and a distortion of the imaging lens of FIG. 10;



FIG. 13 shows a sectional view of a schematic configuration of an imaging lens in Numerical Data Example 5 of the present invention;



FIG. 14 is an aberration diagram showing a lateral aberration of the imaging lens of FIG. 13;



FIG. 15 is an aberration diagram showing a spherical aberration, astigmatism, and a distortion of the imaging lens of FIG. 13;



FIG. 16 shows a sectional view of a schematic configuration of an imaging lens in Numerical Data Example 6 of the present invention;



FIG. 17 is an aberration diagram showing a lateral aberration of the imaging lens of FIG. 16;



FIG. 18 is an aberration diagram showing a spherical aberration, astigmatism, and a distortion of the imaging lens of FIG. 16;



FIG. 19 shows a sectional view of a schematic configuration of an imaging lens in Numerical Data Example 7 of the present invention;



FIG. 20 is an aberration diagram showing a lateral aberration of the imaging lens of FIG. 19; and



FIG. 21 is an aberration diagram showing a spherical aberration, astigmatism, and a distortion of the imaging lens of FIG. 19.



FIG. 22 shows a sectional view of a schematic configuration of an imaging lens in Numerical Data Example 8 of the present invention;



FIG. 23 is an aberration diagram showing a lateral aberration of the imaging lens of FIG. 22; and



FIG. 24 is an aberration diagram showing a spherical aberration, astigmatism, and a distortion of the imaging lens of FIG. 22.



FIG. 25 shows a sectional view of a schematic configuration of an imaging lens in Numerical Data Example 9 of the present invention;



FIG. 26 is an aberration diagram showing a lateral aberration of the imaging lens of FIG. 25;



FIG. 27 is an aberration diagram showing a spherical aberration, astigmatism, and a distortion of the imaging lens of FIG. 25.



FIG. 28 shows a sectional view of a schematic configuration of an imaging lens in Numerical Data Example 10 of the present invention;



FIG. 29 is an aberration diagram showing a lateral aberration of the imaging lens of FIG. 28;



FIG. 30 is an aberration diagram showing a spherical aberration, astigmatism, and a distortion of the imaging lens of FIG. 28.



FIG. 31 shows a sectional view of a schematic configuration of an imaging lens in Numerical Data Example 11 of the present invention;



FIG. 32 is an aberration diagram showing a lateral aberration of the imaging lens of FIG. 31;



FIG. 33 is an aberration diagram showing a spherical aberration, astigmatism, and a distortion of the imaging lens of FIG. 31;



FIG. 34 shows a sectional view of a schematic configuration of an imaging lens in Numerical Data Example 12 of the present invention;



FIG. 35 is an aberration diagram showing a lateral aberration of the imaging lens of FIG. 34;



FIG. 36 is an aberration diagram showing a spherical aberration, astigmatism, and a distortion of the imaging lens of FIG. 34;



FIG. 37 shows a sectional view of a schematic configuration of an imaging lens in Numerical Data Example 13 of the present invention;



FIG. 38 is an aberration diagram showing a lateral aberration of the imaging lens of FIG. 37; and



FIG. 39 is an aberration diagram showing a spherical aberration, astigmatism, and a distortion of the imaging lens of FIG. 37.





DETAILED DESCRIPTION OF PREFERRED EMBODIMENTS

Hereunder, referring to the accompanying drawings, an embodiment of the present invention will be fully described.



FIGS. 1, 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34 and 37 are schematic sectional views of the imaging lenses in Numerical Data Examples 1 to 13 according to the embodiment, respectively. Since the imaging lenses in those Numerical Data Examples have the same basic configuration, the lens configuration of the embodiment will be described with reference to the sectional view of Numerical Data Example 1.


As shown in FIG. 1, the imaging lens of the embodiment includes a first lens L1 having positive refractive power; a second lens L2 having negative refractive power; a third lens L3 having negative refractive power; a fourth lens L4 having positive refractive power; a fifth lens L5; a sixth lens L6; a seventh lens L7; an eighth lens L8; and a ninth lens L9 having negative refractive power, arranged in the order from an object side to an image plane side. In addition, between the ninth lens L9 and an image plane IM of an imaging element, there is provided a filter 10. Here, the filter 10 is omissible.


The first lens L1 is formed in a shape such that a curvature radius r1 of a surface thereof on the object-side and a curvature radius r2 of a surface thereof on the image plane side are both positive. The first lens L1 has a shape of a meniscus lens directing a convex surface thereof to the object side near the optical axis. The shape of the first lens L1 may not be limited to the one in Numerical Data Example 1. The first lens L1 can be formed in any shape as long as the refractive power thereof is positive. In addition to the shape in Numerical Data Example 1, the first lens L1 can be formed in a shape such that the curvature radius r1 and the curvature radius r2 are both negative, or such that the curvature radius r1 is positive and the curvature radius r2 is negative. In the former case, the first lens is formed to have a shape of a meniscus lens directing a concave surface thereof to the object side near the optical axis. In the latter case, the first lens is formed to have a shape of a biconvex lens near the optical axis. In view of downsizing the imaging lens, the first lens L1 may be preferably formed in a shape such that the curvature radius r1 is positive.


According to Numerical Data Example 1, there is provided an aperture stop ST on the object-side surface of the first lens L1. Here, the position of the aperture stop ST may not be limited to the one in Numerical Data Example 1. The aperture stop ST can be provided closer to the object-side than the first lens L1. Alternatively, the aperture stop ST can be provided between the first lens L1 and the second lens L2; between the second lens L2 and the third lens L3; between the third lens L3 and the fourth lens L4; or the like.


The second lens L2 is formed in a shape such that a curvature radius r3 of a surface thereof on the object-side and a curvature radius r4 of a surface thereof on the image plane side are both positive. The second lens L2 has a shape of a meniscus lens directing a convex surface thereof to the object side near the optical axis. The shape of the second lens L2 may not be limited to the one in Numerical Data Example 1. The second lens L2 can be formed in any shape as long as the refractive power thereof is negative. In addition to the shape in Numerical Data Example 1, the second lens L2 can be formed in a shape such that the curvature radius r3 and the curvature radius r4 are both negative, or such that the curvature radius r3 is negative and the curvature radius r4 is positive. The first of the above-described shapes is a shape of a meniscus lens directing a concave surface thereof to the object side near the optical axis, and the latter one is a shape of a biconcave lens near the optical axis. In view of downsizing the imaging lens, the second lens L2 may be preferably formed in a shape such that the curvature radius r3 is positive.


The third lens L3 is formed in a shape such that a curvature radius r5 of a surface thereof on the object-side and a curvature radius r6 of a surface thereof on the image plane side are both positive. The third lens L3 has a shape of a meniscus lens directing a convex surface thereof to the object side near the optical axis. The shape of the third lens L3 may not be limited to the one in Numerical Data Example 1. The Numerical Data Examples 2 and 10 are examples of a shape, in which the curvature radius r5 is negative and the curvature radius r6 is positive, so as to have a shape of a biconcave lens near the optical axis. Numerical Data Examples 4 through 6, 12 and 13 are examples of a shape, in which the curvature radii r5 and r6 are both negative, i.e., a shape of a meniscus lens directing a concave surface thereof to the object side near the optical axis. The third lens L3 can be formed in any shape as long as the refractive power thereof is negative.


The fourth lens L4 is formed in a shape such that a curvature radius r7 of a surface thereof on the object-side is positive and a curvature radius r8 of a surface thereof on the image plane side is negative. The fourth lens L4 has a shape of a biconvex lens near the optical axis. The shape of the fourth lens L4 may not be limited to the one in Numerical Data Example 1. Numerical Data Examples 2 is an example of a shape, in which the curvature radii r7 and r8 are both positive, i.e., a shape of a meniscus lens directing a convex surface thereof to the object side near the optical axis.


The fifth lens L5 has positive refractive power. The refractive power of the fifth lens L5 is not limited to positive refractive power. Numerical Data Examples 7 through 13 are examples of lens configurations, in which the fifth lens L5 has negative refractive power.


The fifth lens L5 is formed in a shape, such that a curvature radius r9 of a surface thereof on the object-side and a curvature radius r10 of a surface thereof on the image plane side are both negative. The fifth lens L5 has a shape of a meniscus lens directing a concave surface thereof to the object side near the optical axis. The shape of the fifth lens L5 may not be limited to the one in Numerical Data Example 1. The Numerical Data Examples 3 and 5 are examples of a shape, in which the curvature radius r9 is positive and the curvature radius r10 is negative, so as to have a shape of a biconvex lens near the optical axis. The Numerical Data Examples 9 and 11 are examples of a shape, in which the curvature radius r9 is negative and the curvature radius r10 is positive, so as to have a shape of a biconcave lens near the optical axis. Numerical Data Examples 13 is an example of a shape, in which the curvature radii r9 and r10 are both positive, i.e., a shape of a meniscus lens directing a convex surface thereof to the object side near the optical axis.


The sixth lens L6 has positive refractive power. The refractive power of the sixth lens L6 is not limited to positive refractive power. Numerical Data Examples 3 through 6 and 11 through 13 are examples of lens configurations, in which the sixth lens L6 has negative refractive power.


The sixth lens L6 is formed in a shape such that a curvature radius r11 of a surface thereof on the object-side is positive and a curvature radius r12 of a surface thereof on the image plane side is negative. The sixth lens L6 has a shape of a biconvex lens near the optical axis. The shape of the sixth lens L6 may not be limited to the one in Numerical Data Example 1. Numerical Data Examples 3 through 6 and 11 through 13 are examples of a shape, in which the curvature radii r11 and r12 are both negative, i.e., a shape of a meniscus lens directing a concave surface thereof to the object side near the optical axis.


The seventh lens L7 has negative refractive power. The refractive power of the seventh lens L7 is not limited to negative refractive power. Numerical Data Examples 3, 4, 7, 8, 11 and 12 are examples of lens configurations, in which the seventh lens L7 has positive refractive power.


The seventh lens L7 is formed in a shape, such that a curvature radius r13 of a surface thereof on the object-side (=R7f) and a curvature radius r14 of a surface thereof on the image plane side (=R7r) are both negative. The seventh lens L7 has a shape of a meniscus lens directing a concave surface thereof to the object side near the optical axis. The shape of the seventh lens L7 may not be limited to the one in Numerical Data Example 1. For example, the seventh lens L7 can be formed in a shape such that the curvature radii r13 and r14 are both positive, so as to have a shape of a meniscus lens directing a convex surface thereof to the object side near an optical axis. In addition to the shapes described above, the seventh lens L7 can be formed in a shape such that the curvature radius r13 is positive and the curvature radius r14 is negative, or such that the curvature radius r13 is negative and the curvature radius r14 is positive.


The eighth lens L8 has positive refractive power. The refractive power of the eighth lens L8 is not limited to positive refractive power. Numerical Data Examples 2, 4, 6, 8, 10 and 12 are examples of lens configurations, in which the eighth lens L8 has negative refractive power.


The eighth lens L8 is formed in a shape such that a curvature radius r15 of a surface thereof on the object-side (=R8f) and a curvature radius r16 of a surface thereof on the image plane side (=R8r) are both positive. The eighth lens L8 has a shape of a meniscus lens directing a convex surface thereof to the object side near the optical axis. The shape of the eighth lens L8 may not be limited to the one in Numerical Data Example 1. For example, the eighth lens L8 can be formed in a shape such that the curvature radius r15 and the curvature radius r16 are both negative, so as to have a shape of a meniscus lens directing a concave surface thereof to the concave near an optical axis. In addition to the shapes described above, the eighth lens L8 can be formed in a shape such that the curvature radius r15 is positive and the curvature radius r16 is negative, or such that the curvature radius r15 is negative and the curvature radius r16 is positive.


The ninth lens L9 is formed in a shape such that a curvature radius r17 of a surface thereof on the object-side is negative and a curvature radius r18 of a surface thereof on the image plane side (=R9r) is positive. The ninth lens L9 has a shape of a biconcave lens near the optical axis. The shape of the ninth lens L9 may not be limited to the one in Numerical Data Example 1. Numerical Data Examples 2, 4, 6, 8, 10 and 12 are examples of a shape, in which the curvature radii r17 and r18 are both positive, i.e., a shape of a meniscus lens directing a convex surface thereof to the object side near the optical axis. In addition to the shapes described above, the ninth lens L9 can be formed in a shape such that the curvature radius r17 and the curvature radius r18 are both negative. The ninth lens L9 can be formed in any shape as long as the refractive power thereof is negative.


The ninth lens L9 is formed in a shape such that a surface thereof on the image plane side has an aspheric shape having an inflection point. Here, the “inflection point” means a point where the positive/negative sign of a curvature changes on the curve, i.e., a point where a direction of curving of the curve on the lens surface changes. According to the imaging lens of the embodiment, the image plane-side surface of the ninth lens L9 is formed as an aspheric shape having a pole. With such shape of the ninth lens L9, it is achievable to satisfactorily correct an off-axis chromatic aberration of magnification as well as an axial chromatic aberration, and to suitably restrain the incident angle of a light beam emitted from the imaging lens to the image plane IM within the range of CRA. According to the imaging lens of Numerical Data Example 1, both surfaces of the eighth lens L8 and the ninth lens L9 are formed as aspheric shapes having an inflection point. For this reason, it is achievable to more satisfactorily correct aberrations at periphery of the image, while restraining the incident angle of a light beam emitted from the imaging lens within the range of CRA. Here, depending on the required optical performance and downsizing of the imaging lens, among lens surfaces of the eighth lens L8 and the ninth lens L9, lens surfaces other than the image plane-side surface of the ninth lens L9 can be formed as an aspheric shape without an inflection point.


According to the embodiment, the imaging lens satisfies the following conditional expressions (1) through (22) and (27):

0<f123  (1)
0<f456  (2)
f789<0  (3)
0.4<f1/f<2.0  (4)
−6<f2/f1<−1  (5)
−5<f2/f<−0.5  (6)
−5<f23/f<−0.5  (7)
0.1<f2/f3<1.2  (8)
−20<f3/f<−5  (9)
0.5<R7f/R7r<2  (10)
0.1<R8f/R8r<1.5  (11)
0.5<T8/17<4  (12)
0.1<D67/D89<0.7  (13)
0.05<D89/f<0.15  (14)
−5<f89/f<−0.3  (15)
0.2<R9r/f<0.6  (16)
−2<f9/f<−0.2  (17)
35<νd1<75  (18)
15<νd2<35  (19)
35<νd9<75  (20)
1.0<TL/f<1.4  (21)
1.0<TL/Hmax<1.8  (22)
f/Dep<2.4  (27)


In the above conditional expression,


f: Focal length of the whole lens system


f1: Focal length of the first lens L1


f2: Focal length of the second lens L2


f3: Focal length of the third lens L3


f9: Focal length of the ninth lens L9


f23: Composite focal length of the second lens L2 and the third lens L3


f89: Composite focal length of the eighth lens L8 and the ninth lens L9


f123: Composite focal length of the first lens L1, the second lens L2 and the third lens L3


f456: Composite focal length of the fourth lens L4, the fifth lens L5 and the sixth lens L6


f789: Composite focal length of the seventh lens L7, the eighth lens L8 and the ninth lens L9


T7: Thickness of the seventh lens L7 on an optical axis


T8: Thickness of the eighth lens L8 on an optical axis


νd1: Abbe's number of the first lens L1


νd2: Abbe's number of the second lens L2


νd9: Abbe's number of the ninth lens L9


R7f: Paraxial curvature radius of an object-side surface of the seventh lens L7


R7r: Paraxial curvature radius of an image plane-side surface of the seventh lens L7


R8f: Paraxial curvature radius of an object-side surface of the eighth lens L8


R8r: Paraxial curvature radius of an image plane-side surface of the eighth lens L8


R9r: Paraxial curvature radius of an image plane-side surface of the ninth lens L9


D67: Distance along the optical axis X between the sixth lens L6 and the seventh lens L7


D89: Distance on the optical axis X between the eighth lens L8 and the ninth lens L9


Hmax: Maximum image height


TL: Distance on an optical axis X from the object-side surface of the first lens L1 to the image plane IM (the filter 10 is a distance in the air)


Dep: Diameter of entrance pupil


When the sixth lens L6 has positive refractive power as in the lens configurations of Numerical Data Examples 1, 2 and 7 through 10, the imaging lens further satisfies the following conditional expression (23):

1<f6/f<3  (23)


In the above conditional expression,


f6: Focal length of the sixth lens L6


When the seventh lens L7 has positive refractive power as in the lens configurations of Numerical Data Examples 3, 4, 7, 8, 11 and 12, the imaging lens further satisfies the following conditional expression (24):

1<f7/f<6  (24)


In the above conditional expression,


f7: Focal length of the seventh lens L7


When both of the sixth lens L6 and the seventh lens L7 have negative refractive power as in the lens configurations in Numerical Data Examples 5, 6 and 13, the imaging lens further satisfies the following conditional expression (25):

−10<f67/f<−5  (25)


In the above conditional expression,


f67: Composite focal length of the sixth lens L6 and the seventh lens L7


When the eighth lens L8 has positive refractive power as in the lens configurations of Numerical Data Examples 1, 3, 5, 7, 9, 11 and 13, the imaging lens further satisfies the following conditional expression (26):

1<f8/f<5  (26)


In the above conditional expression,


f8: Focal length of the eighth lens L8


Here, it is not necessary to satisfy all of the conditional expressions, and it is achievable to obtain an effect corresponding to the respective conditional expression when any single one of the conditional expressions is individually satisfied.


According to the embodiment, lens surfaces of the respective lenses are formed as aspheric surfaces. An equation that expresses those aspheric surfaces is shown below:









Z
=



C
·

H
2



1
+


1
-


(

1
+
k

)

·

C
2

·

H
2






+



(

An
·

H
n


)







[

Equation





1

]







In the above conditional expression,


Z: Distance in a direction of the optical axis


H: Distance from the optical axis in a direction perpendicular to the optical axis


C: Paraxial curvature (=1/r, r: paraxial curvature radius)


k: Conic constant


An: The nth aspheric coefficient


Next, Numerical Data Examples of the imaging lens of the embodiment will be described. In each Numerical Data Example, f represents a focal length of the whole lens system, Fno represents an F-number, and ω represents a half angle of view, respectively. In addition, i represents a surface number counted from the object side, r represents a paraxial curvature radius, d represents a distance on the optical axis between lens surfaces (surface spacing), nd represents a refractive index at a reference wavelength of 588 nm, and νd represents an Abbe's number at the reference wavelength, respectively. Here, surfaces indicated with surface numbers i affixed with * (asterisk) are aspheric surfaces.


Numerical Data Example 1

Basic Lens Data









TABLE 1







f = 5.59 mm Fno = 2.0 ω = 40.1°














i
r
d
nd
υd
[mm]














L1
 1*(ST)
2.567
0.667
1.5443
55.9
f1 = 5.243



 2*
23.255
0.070





L2
 3*
4.802
0.306
1.6707
19.2
f2 = −14.188



 4*
3.110
0.268





L3
 5*
8.687
0.250
1.6707
19.2
f3 = −90.906



 6*
7.516
0.270





L4
 7*
65.796
0.402
1.5443
55.9
f4 = 83.667



 8*
−147.605
0.030





L5
 9*
−226.728
0.354
1.5443
55.9
f5 = 100.319



10*
−44.030
0.337





L6
11*
13.848
0.488
1.5443
55.9
f6 = 12.089



12*
−12.382
0.338





L7
13*
−2.844
0.296
1.6707
19.2
f7 = −100.447



14*
−3.093
0.030





L8
15*
4.723
0.568
1.5443
55.9
f8 = 16.158



16*
9.768
0.576





L9
17*
−49.779
0.853
1.5443
55.9
f9 = −4.594



18*
2.619
0.260






19

0.210
1.5168
64.2




20

0.482





(IM)












f123=7.801 mm


f456=9.683 mm


f789=−6.635 mm


f23=−12.143 mm


f89=−7.588 mm


T7=0.296 mm


T8=0.568 mm


D67=0.338 mm


D89=0.576 mm


TL=6.973 mm


Hmax=4.7 mm


Dep=2.825 mm









TABLE 2







Aspherical surface data















i
k
A4
A6
A8
A10
A12
A14
A16





 1
  2.671E−01
  9.649E−05
−2.400E−04
  6.228E−04
−5.361E−04
  2.207E−04
−1.079E−05
−1.329E−05


 2
  0.000E+00
−1.766E−02
  2.265E−02
−1.417E−02
  4.946E−03
−7.561E−04
−4.444E−05
  1.791E−05


 3
−1.787E+01
−2.223E−02
  2.355E−02
−1.367E−02
  4.928E−03
−9.022E−04
  1.830E−04
−3.072E−05


 4
−1.170E+01
  2.053E−02
−1.420E−02
  1.186E−02
−5.527E−03
  1.953E−03
−3.777E−04
  2.320E−04


 5
  0.000E+00
−4.891E−03
−1.686E−03
  2.449E−04
  1.847E−04
  8.099E−05
  1.092E−04
  1.672E−05


 6
  0.000E+00
−4.165E−03
−3.237E−04
  4.579E−04
  2.143E−04
  6.892E−05
  7.539E−06
−1.172E−05


 7
  0.000E+00
−2.036E−02
−1.027E−02
−1.846E−04
−5.634E−04
  2.687E−04
  1.431E−04
  1.041E−05


 8
  0.000E+00
−7.143E−03
−1.221E−02
−1.575E−03
  1.795E−04
  1.804E−04
  7.668E−05
−7.487E−05


 9
  0.000E+00
−1.572E−02
−2.628E−03
  1.586E−03
  9.067E−05
  4.757E−05
  6.583E−07
−2.671E−05


10
  0.000E+00
−4.584E−02
  3.664E−04
  1.576E−03
  4.963E−04
  5.646E−05
−3.661E−05
  5.720E−06


11
  0.000E+00
−4.046E−02
−2.058E−04
−2.545E−03
  3.691E−06
  3.194E−04
  4.174E−05
−1.703E−05


12
  0.000E+00
−5.179E−02
  1.038E−02
−2.135E−03
−1.284E−03
  1.129E−03
−2.683E−04
  2.127E−05


13
  6.425E−01
−1.026E−02
  2.166E−02
−1.218E−02
  4.166E−03
−6.787E−04
  2.930E−05
  2.197E−06


14
  4.424E+00
−1.782E−02
  1.533E−02
−8.556E−03
  2.351E−03
−3.048E−04
  1.710E−05
−3.994E−07


15
  0.000E+00
−2.083E−02
  1.006E−04
−1.273E−03
  3.229E−04
−5.554E−05
  5.482E−06
−2.371E−07


16
  0.000E+00
−4.940E−03
−9.342E−04
−5.409E−04
  1.130E−04
−7.970E−06
−1.691E−08
  2.544E−08


17
  0.000E+00
−6.864E−02
  1.529E−02
−1.782E−03
  1.446E−04
−8.475E−06
  3.132E−07
−5.354E−09


18
−4.616E+00
−4.403E−02
  1.153E−02
−2.092E−03
  2.371E−04
−1.594E−05
  5.789E−07
−8.717E−09









The values of the respective conditional expressions are as follows:


f1/f=0.94


f2/f1=−2.71


f2/f=−2.54


f23/f=−2.17


f2/f3=0.16


f3/f=−16.25


R7f/R7r=0.92


R8f/R8r=0.48


T8/T7=1.92


D67/D89=0.59


D89/f=0.10


f89/f=−1.36


R9r/f=0.47


f9/f=−0.82


TL/f=1.25


TL/Hmax=1.48


f/Dep=1.98


f6/f=2.16


f8/f=2.89


Accordingly, the imaging lens of Numerical Data Example 1 satisfies the above-described conditional expressions.



FIG. 2 shows a lateral aberration that corresponds to a ratio H of each image height to the maximum image height Hmax (hereinafter referred to as “image height ratio H”), which is divided into a tangential direction and a sagittal direction (The same is true for FIGS. 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35 and 38). FIG. 3 shows a spherical aberration (mm), astigmatism (mm), and a distortion (%), respectively. The aberration diagrams of the astigmatism and the distortion show aberrations at a reference wavelength (588 nm). Furthermore, in the aberration diagrams of the astigmatism shows sagittal image surfaces (S) and tangential image surfaces (T), respectively (The same is true for FIGS. 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36 and 39). As shown in FIGS. 2 and 3, according to the imaging lens of Numerical Data Example 1, the aberrations can be satisfactorily corrected.


Numerical Data Example 2

Basic Lens Data









TABLE 3







f = 5.92 mm Fno = 2.0 ω = 38.5°














i
r
d
nd
υd
[mm]














L1
 1*(ST)
2.418
0.743
1.5443
55.9
f1 = 4.998



 2*
19.418
0.079





L2
 3*
4.161
0.240
1.6707
19.2
f2 = −15.718



 4*
2.914
0.304





L3
 5*
−36.658
0.250
1.6707
19.2
f3 = −54.548



 6*
18365.648
0.308





L4
 7*
19.936
0.455
1.5443
55.9
f4 = 45.572



 8*
100.749
0.075





L5
 9*
−55.127
0.376
1.5443
55.9
f5 = 100.327



10*
−27.499
0.294





L6
11*
20.083
0.443
1.5443
55.9
f6 = 11.183



12*
−8.666
0.341





L7
13*
−2.862
0.288
1.6707
19.2
f7 = −95.877



14*
−3.116
0.030





L8
15*
5.824
0.350
1.5443
55.9
f8 = −88.662



16*
5.087
0.595





L9
17*
33.032
0.845
1.5443
55.9
f9 = −5.706



18*
2.813
0.250






19

0.210
1.5168
64.2




20

0.536





(IM)












f123=7.315 mm


f456=8.432 mm


f789=−4.852 mm


f23=−12.212 mm


f89=−5.400 mm


T7=0.288 mm


T8=0.350 mm


D67=0.341 mm


D89=0.595 mm


TL=6.946 mm


Hmax=4.7 mm


Dep=2.991 mm









TABLE 4







Aspherical surface data















i
k
A4
A6
A8
A10
A12
A14
A16





 1
  1.612E−01
−1.198E−03
−2.415E−03
  9.840E−04
−9.269E−04
−9.624E−05
  1.947E−04
−5.885E−05


 2
  0.000E+00
−3.015E−02
  3.737E−02
−3.048E−02
  1.608E−02
−5.319E−03
  8.720E−04
−5.793E−05


 3
−2.191E+01
−3.232E−02
  3.055E−02
−8.972E−03
  4.674E−03
−1.665E−03
  4.756E−05
  5.205E−05


 4
−9.150E−00
−7.265E−04
−6.763E−04
  2.037E−02
−4.123E−03
  4.185E−04
−1.162E−03
  4.462E−04


 5
  0.000E+00
  4.625E−02
−6.547E−03
  9.769E−03
  3.955E−03
−3.889E−03
−4.194E−04
  4.599E−04


 6
  0.000E+00
  5.106E−02
−7.237E−04
  4.238E−03
  2.113E−03
  1.397E−03
−3.443E−03
  1.016E−03


 7
  0.000E+00
−2.483E−02
−5.508E−03
  4.523E−03
−1.145E−03
  2.113E−04
  4.110E−04
−1.181E−04


 8
  0.000E+00
−3.724E−02
−1.177E−02
  4.633E−03
  3.558E−03
  2.682E−05
−3.303E−05
−5.181E−05


 9
  0.000E+00
−2.841E−02
−1.050E−02
  1.620E−03
  3.199E−05
  3.953E−04
  1.779E−04
−9.933E−05


10
  0.000E+00
−4.947E−02
−3.506E−03
  3.256E−03
  1.686E−04
−2.276E−04
−3.713E−05
  2.119E−05


11
  0.000E+00
−3.706E−02
−5.465E−03
−4.718E−03
  2.477E−04
  6.192E−04
  3.207E−05
−5.453E−05


12
  0.000E+00
−2.872E−02
  7.806E−03
−4.366E−03
−6.353E−04
  1.118E−03
−2.947E−04
  2.341E−05


13
  6.879E−01
−6.141E−02
  2.736E−02
−9.952E−03
  4.134E−03
−7.289E−04
  2.832E−05
  2.960E−06


14
−1.968E+00
−4.658E−02
  1.115E−02
−5.939E−03
  2.518E−03
−3.785E−04
  1.614E−05
  1.515E−07


15
  0.000E+00
−2.156E−02
−4.637E−03
  8.477E−04
  1.075E−04
−7.186E−05
  8.672E−06
−2.502E−07


16
  0.000E+00
−3.449E−02
  4.171E−03
−7.246E−04
  5.920E−05
−4.158E−06
  2.659E−07
  1.454E−09


17
  0.000E+00
−8.483E−02
  1.706E−02
−1.786E−03
  1.417E−04
−8.673E−06
  3.105E−07
−4.152E−09


18
−8.357E+00
−4.187E−02
  1.125E−02
−2.064E−03
  2.358E−04
−1.585E−05
  5.738E−07
−8.599E−09









The values of the respective conditional expressions are as follows:


f1/f=0.84


f2/f1=−3.14


f2/f=−2.65


f23/f=−2.06


f2/f3=0.29


f3/f=−9.21


R7f/R7r=0.92


R8f/R8r=1.14


T8/T7=1.21


D67/D89=0.57


D89/f=0.10


f89/f=−0.91


R9r/f=0.48


f9/f=−0.96


TL/f=1.17


TL/Hmax=1.48


f/Dep=1.98


f6/f=1.89


Accordingly, the imaging lens of Numerical Data Example 2 satisfies the above-described conditional expressions.



FIG. 5 shows a lateral aberration that corresponds to an image height H and FIG. 6 shows a spherical aberration (mm), astigmatism (mm), and a distortion (%), respectively. As shown in FIGS. 5 and 6, according to the imaging lens of Numerical Data Example 2, the aberrations can be also satisfactorily corrected.


Numerical Data Example 3

Basic Lens Data









TABLE 5







f = 5.88 mm Fno = 2.0 ω = 38.7°














i
r
d
nd
υd
[mm]














L1
 1*(ST)
2.374
0.817
1.5443
55.9
f1 = 4.861



 2*
20.346
0.034





L2
 3*
4.679
0.242
1.6707
19.2
f2 = −14.780



 4*
3.113
0.356





L3
 5*
509.089
0.262
1.6707
19.2
f3 = −64.436



 6*
39.827
0.244





L4
 7*
22.485
0.391
1.5443
55.9
f4 = 34.033



 8*
−104.518
0.054





L5
 9*
131.577
0.299
1.5443
55.9
f5 = 100.331



10*
−93.282
0.223





L6
11*
−24.211
0.676
1.5443
55.9
f6 = −63.624



12*
−81.259
0.270





L7
13*
−3.080
0.255
1.6707
19.2
f7 = 27.690



14*
−2.730
0.068





L8
15*
4.807
0.705
1.5443
55.9
f8 = 13.875



16*
12.538
0.585





L9
17*
−80.842
0.481
1.5443
55.9
f9 = −4.778



18*
2.693
0.250






19

0.210
1.5168
64.2




20

0.637





(IM)












f123=7.061 mm


f456=42.073 mm


f789=−14.413 mm


f23=−11.989 mm


f89=−8.848 mm


T7=0.255 mm


T8=0.705 mm


D67=0.270 mm


D89=0.585 mm


TL=6.989 mm


Hmax=4.7 mm


Dep=2.969 mm









TABLE 6







Aspherical surface data















i
k
A4
A6
A8
A10
A12
A14
A16





 1
−2.314E−01
  1.734E−03
  1.107E−03
−2.207E−03
  2.233E−03
−1.285E−03
  3.962E−04
−5.287E−05


 2
  0.000E+00
−4.014E−02
  5.756E−02
−5.923E−02
  4.377E−02
−2.069E−02
  5.444E−03
−6.046E−04


 3
−8.896E+00
−4.060E−02
  2.627E−02
−1.464E−02
  8.716E−03
−4.475E−03
  1.357E−03
−1.583E−04


 4
−8.968E+00
  1.965E−02
−3.661E−02
  3.775E−02
−3.132E−02
  1.673E−02
−4.895E−03
  6.422E−04


 5
  0.000E+00
  1.815E−02
−7.427E−03
−3.723E−03
  2.930E−03
  5.495E−03
−3.959E−03
  6.654E−04


 6
  0.000E+00
  1.175E−02
−3.274E−03
  4.353E−03
−6.775E−03
  1.210E−02
−4.757E−03
  3.163E−04


 7
  0.000E+00
−5.019E−02
  3.050E−02
−5.065E−02
  3.736E−02
−1.655E−02
  6.524E−03
−1.455E−03


 8
  0.000E+00
−1.849E−02
−2.175E−02
−1.689E−02
  1.274E−02
  2.154E−04
−1.460E−03
  9.461E−05


 9
  0.000E+00
  4.206E−02
−7.631E−02
  2.362E−02
−1.327E−03
  3.673E−04
−5.538E−04
−4.085E−05


10
  0.000E+00
  2.095E−02
−4.816E−02
  8.479E−03
  1.117E−03
  2.000E−04
−5.802E−04
  1.587E−04


11
  0.000E+00
−3.297E−02
  4.470E−03
−1.375E−02
  1.746E−04
  1.360E−03
  3.856E−04
−1.395E−04


12
  0.000E+00
−9.233E−02
  4.256E−02
−1.177E−02
−5.878E−04
  1.414E−03
−3.500E−04
  2.853E−05


13
  9.966E−02
−5.585E−02
  3.385E−02
−9.825E−03
  2.769E−03
−5.119E−04
  4.908E−05
−2.245E−06


14
−2.828E+00
−1.637E−02
  2.509E−03
−2.270E−03
  1.792E−03
−3.559E−04
  1.895E−05
  3.049E−07


15
  0.000E+00
−8.773E−03
−1.242E−02
  3.731E−03
  7.358E−04
  5.821E−05
  5.047E−06
−7.753E−07


16
  0.000E+00
  8.733E−03
−4.311E−03
  2.440E−04
  7.847E−05
−1.499E−05
  9.943E−07
−2.398E−08


17
  0.000E+00
−6.431E−02
  1.744E−02
−1.969E−03
  8.485E−05
  1.575E−06
−2.449E−07
  5.554E−09


18
−9.489E+00
−3.812E−02
  9.942E−03
−1.856E−03
  2.171E−04
−1.523E−05
  5.898E−07
−9.629E−09









The values of the respective conditional expressions are as follows:


f1/f=0.83


f2/f1=−3.04


f2/f=−2.51


f23/f=−2.04


f2/f3=0.23


f3/f=−10.96


R7f/R7r=1.13


R8f/R8r=0.38


T8/T7=2.77


D67/D89=0.46


D89/f=0.10


f89/f=−1.51


R9r/f=0.46


f9/f=−0.81


TL/f=1.19


TL/Hmax=1.49


f/Dep=1.98


f7/f=4.71


f8/f=2.36


Accordingly, the imaging lens of Numerical Data Example 3 satisfies the above-described conditional expressions.



FIG. 8 shows a lateral aberration that corresponds to an image height H and FIG. 9 shows a spherical aberration (mm), astigmatism (mm), and a distortion (%), respectively. As shown in FIGS. 8 and 9, according to the imaging lens of Numerical Data Example 3, the aberrations can be also satisfactorily corrected.


Numerical Data Example 4

Basic Lens Data









TABLE 7







f = 5.75 mm Fno = 2.0 ω = 39.3°














i
r
d
nd
υd
[mm]














L1
 1*(ST)
2.345
0.828
1.5443
55.9
f1 = 4.750



 2*
22.067
0.033





L2
 3*
5.012
0.243
1.6707
19.2
f2 = −15.750



 4*
3.333
0.327





L3
 5*
−23.963
0.314
1.6707
19.2
f3 = −50.669



 6*
−81.689
0.204





L4
 7*
25.476
0.445
1.5443
55.9
f4 = 24.672



 8*
−28.723
0.059





L5
 9*
−156.156
0.318
1.5443
55.9
f5 = 82.360



10*
−34.855
0.241





L6
11*
−10.808
0.655
1.5443
55.9
f6 = −100.094



12*
−13.771
0.166





L7
13*
−3.250
0.266
1.6707
19.2
f7 = 12.896



14*
−2.440
0.187





L8
15*
7.710
0.549
1.5443
55.9
f8 = −100.320



16*
6.586
0.689





L9
17*
52.942
0.462
1.5443
55.9
f9 = −4.794



18*
2.479
0.250






19

0.210
1.5168
64.2




20

0.462





(IM)












f123=6.843 mm


f456=23.891 mm


f789=−8.542 mm


f23=−12.026 mm


f89=−4.643 mm


T7=0.266 mm


T8=0.549 mm


D67=0.166 mm


D89=0.689 mm


TL=6.836 mm


Hmax=4.7 mm


Dep=2.903 mm









TABLE 8







Aspherical surface data















i
k
A4
A6
A8
A10
A12
A14
A16





 1
−2.838E−01
  1.283E−03
  5.884E−04
−2.405E−03
  2.152E−03
−1.315E−03
  3.870E−04
−5.540E−05


 2
  0.000E+00
−4.213E−02
  5.698E−02
−5.942E−02
  4.369E−02
−2.071E−02
  5.445E−03
−6.032E−04


 3
−6.917E+00
−3.939E−02
  2.678E−02
−1.436E−02
  8.812E−03
−4.467E−03
  1.351E−03
−1.512E−04


 4
−9.354E+00
  1.990E−02
−3.649E−02
  3.764E−02
  3.134E−02
  1.678E−02
−4.859E−03
  6.295E−04


 5
  0.000E+00
  1.656E−02
−7.680E−03
−3.707E−03
  2.869E−03
  5.435E−03
−3.992E−03
  6.593E−04


 6
  0.000E+00
  1.359E−02
−2.215E−03
  4.719E−03
−6.638E−03
  1.213E−02
−4.794E−03
  2.621E−04


 7
  0.000E+00
−4.597E−02
  3.066E−02
−5.076E−02
  3.734E−02
−1.655E−02
  6.497E−03
−1.492E−03


 8
  0.000E+00
−2.187E−02
−2.208E−02
−1.721E−02
  1.256E−02
  1.546E−04
−4.470E−03
  9.673E−05


 9
  0.000E+00
  3.834E−02
−7.834E−02
  2.357E−02
−1.238E−03
  3.675E−04
−5.793E−04
−6.211E−05


10
  0.000E+00
  1.849E−02
−4.768E−02
  8.352E−03
  1.024E−03
  1.664E−04
−5.894E−04
  1.562E−04


11
  0.000E+00
−3.604E−02
  4.063E−03
−1.369E−02
  1.967E−04
  1.365E−03
  3.866E−04
−1.393E−04


12
  0.000E+00
−8.850E−02
  4.272E−02
−1.185E−02
−6.052E−04
  1.413E−03
−3.496E−04
  2.876E−05


13
  1.618E−01
−5.698E−02
  3.379E−02
−9.800E−03
  2.774E−03
−5.119E−04
  4.890E−05
−2.280E−06


14
−3.419E+00
−1.471E−02
  2.609E−03
−2.289E−03
  1.788E−03
−3.565E−04
  1.896E−05
  3.153E−07


15
  0.000E+00
  2.321E−03
−1.315E−02
  3.640E−03
−7.456E−04
  5.809E−05
  5.223E−06
−7.367E−07


16
  0.000E+00
  5.579E−03
−4.187E−03
  2.420E−04
  7.809E−05
−1.497E−05
  9.969E−07
−2.387E−08


17
  0.000E+00
−6.550E−02
  1.742E−02
−1.968E−03
  8.482E−05
  1.574E−06
−2.448E−07
  5.601E−09


18
−8.167E+00
−3.928E−02
  9.918E−03
−1.857E−03
  2.171E−04
−1.523E−05
  5.900E−07
−9.628E−09









The values of the respective conditional expressions are as follows:


f1/f=0.83


f2/f1=−3.32


f2/f=−2.74


f23/f=−2.09


f2/f3=0.31


f3/f=−8.81


R7f/R7r=1.33


R8f/R8r=1.17


T8/17=2.07


D67/D89=0.24


D89/f=0.12


f89/f=−0.81


R9r/f=0.43


f9/f=−0.83


TL/f=1.19


TL/Hmax=1.45


f/Dep=1.98


f7/f=2.24


Accordingly, the imaging lens of Numerical Data Example 4 satisfies the above-described conditional expressions.



FIG. 11 shows a lateral aberration that corresponds to an image height H and FIG. 12 shows a spherical aberration (mm), astigmatism (mm), and a distortion (%), respectively. As shown in FIGS. 11 and 12, according to the imaging lens of Numerical Data Example 4, the aberrations can be also satisfactorily corrected.


Numerical Data Example 5

Basic Lens Data









TABLE 9







f = 5.80 mm Fno = 2.0 ω = 39.0°














i
r
d
nd
υd
[mm]














L1
 1*(ST)
2.376
0.894
1.5443
55.9
f1 = 4.837



 2*
21.072
0.026





L2
 3*
4.648
0.240
1.6707
19.2
f2 = −13.516



 4*
3.009
0.331





L3
 5*
−20.724
0.285
1.6707
19.2
f3 = −100.931



 6*
−30.033
0.204





L4
 7*
23.284
0.396
1.5443
55.9
f4 = 26.953



 8*
−39.420
0.052





L5
 9*
186.291
0.305
1.5443
55.9
f5 = 100.328



10*
−77.210
0.208





L6
11*
−29.267
0.609
1.5443
55.9
f6 = −100.331



12*
−63.526
0.313





L7
13*
−2.869
0.272
1.6707
19.2
f7 = −100.476



14*
−3.110
0.030





L8
15*
4.211
0.762
1.5443
55.9
f8 = 10.027



16*
17.250
0.605





L9
17*
−29.143
0.621
1.5443
55.9
f9 = −4.794



18*
2.887
0.250






19

0.210
1.5168
64.2




20

0.501





(IM)












f123=7.071 mm


f456=26.977 mm


f789=−10.931 mm


f23=−11.954 mm


f67=−50.829 mm


f89=−13.260 mm


T7=0.272 mm


T8=0.762 mm


D67=0.313 mm


D89=0.605 mm


TL=7.043 mm


Hmax=4.7 mm


Dep=2.932 mm









TABLE 10







Aspherical surface data















i
k
A4
A6
A8
A10
A12
A14
A16





 1
−2.139E−01
  1.896E−03
  1.345E−03
−2.231E−03
  2.217E−03
−1.290E−03
  3.957E−04
−5.205E−05


 2
  0.000E+00
−3.838E−02
  5.770E−02
−5.943E−04
  4.365E−02
−2.097E−02
  5.478E−03
−6.131E−04


 3
−9.577E+00
−4.008E−02
  2.670E−02
−1.465E−02
  8.830E−03
−4.478E−03
  1.299E−03
−1.385E−04


 4
−8.286E+00
  2.022E−02
−3.621E−02
  3.826E−02
−3.147E−02
  1.652E−02
−4.867E−03
  6.550E−04


 5
  0.000E+00
  1.971E−02
−8.833E−03
−3.708E−03
  2.848E−03
  5.628E−03
−3.985E−03
  6.434E−04


 6
  0.000E+00
  1.015E−02
−4.151E−03
  4.021E−03
−6.698E−03
  1.217E−02
−4.743E−03
  2.927E−04


 7
  0.0005+00
−5.000E−02
  2.974E−02
−5.079E−02
  3.738E−02
−1.662E−02
  6.468E−03
−1.440E−03


 8
  0.000E+00
−1.886E−02
−2.164E−02
−1.675E−03
  1.258E−02
  1.292E−04
−1.462E−03
  1.198E−04


 9
  0.000E+00
  3.862E−02
−7.587E−02
  2.352E−02
−1.397E−03
  3.078E−04
−5.621E−04
−1.958E−05


10
  0.000E+00
  1.881E−02
−4.837E−02
  8.386E−03
  1.072E−03
  2.336E−04
−5.757E−04
  1.583E−04


11
  0.000E+00
−3.641E−02
  4.784E−03
−1.351E−02
  2.128E−04
  1.341E−03
  3.787E−04
−1.376E−04


12
  0.000E+00
−9.316E−02
  4.231E−02
−1.185E−02
−5.963E−04
  1.415E−03
−3.492E−04
  2.898E−05


13
  4.494E−02
−5.364E−02
  3.344E−02
−9.758E−03
  2.784E−03
−5.116E−04
  4.862E−05
−2.274E−06


14
−1.667E+00
−1.719E−02
  2.771E−03
−2.257E−03
  1.792E−05
−3.560E−04
  1.894E−05
  3.067E−07


15
  0.000E+00
−1.390E−02
−1.132E−02
  3.617E−03
−7.342E−04
  5.954E−05
  4.973E−06
−7.760E−07


16
  0.000E+00
  1.010E−02
−4.360E−03
  2.456E−04
  7.851E−05
−1.493E−05
  9.982E−07
−2.467E−08


17
  0.000E+00
−6.385E−02
  1.750E−02
−1.970E−03
  8.474E−05
  1.576E−06
−2.445E−07
  5.531E−09


18
−9.090E+00
−3.632E−02
  9.946E−03
−1.861E−03
  2.168E−04
−1.524E−05
  5.901E−07
−9.552E−09









The values of the respective conditional expressions are as follows:


f1/f=0.83


f2/f1=−2.79


f2/f=−2.33


f23/f=−2.06


f2/f3=0.13


f3/f=−17.39


R7f/R7r=0.92


R8f/R8r=0.24


T8/T7=2.80


D67/D89=0.52


D89/f=0.10


f89/f=−2.28


R9r/f=0.50


f9/f=−0.83


TL/f=1.21


TL/Hmax=1.50


f/Dep=1.98


f67/f=−8.76


f8/f=1.73


Accordingly, the imaging lens of Numerical Data Example 5 satisfies the above-described conditional expressions.



FIG. 14 shows a lateral aberration that corresponds to an image height H and FIG. 15 shows a spherical aberration (mm), astigmatism (mm), and a distortion (%), respectively. As shown in FIGS. 14 and 15, according to the imaging lens of Numerical Data Example 5, the aberrations can be also satisfactorily corrected.


Numerical Data Example 6

Basic Lens Data









TABLE 11







f = 6.01 mm Fno = 2.0 ω = 38.1°














i
r
d
nd
υd
[mm]














L1
 1*(ST)
2.284
0.946
1.5443
55.9
f1 = 4.901



 2*
13.555
0.026





L2
 3*
4.707
0.240
1.6707
19.2
f2 = −16.698



 4*
3.246
0.359





L3
 5*
−8.974
0.283
1.6707
9.21
f3 = −53.501



 6*
−12.118
0.162





L4
 7*
10.056
0.421
1.5443
55.9
f4 = 14.219



 8*
−33.109
0.061





L5
 9*
−60.783
0.296
1.6142
25.6
f5 = 53.354



10*
−21.331
0.364





L6
11*
−4.202
0.350
1.5443
65.9
f6 = −100.260



12*
−4.687
0.150





L7
13*
−2.877
0.402
1.6707
19.2
f7 = −100.361



14*
−3.174
0.030





L8
15*
8.049
0.639
1.5443
55.9
f8 = −100.381



16*
6.819
0.374





L9
17*
6.956
0.941
1.5443
55.9
f9 = −8.055



18*
2.561
0.250






19

0.210
1.5168
64.2




20

0.645





(IM)












f123=6.952 mm


f456=13.044 mm


f789=−6.559 mm


f23=−12.814 mm


f67=−50.662 mm


f89=−7.554 mm


T7=0.402 mm


T8=0.639 mm


D67=0.150 mm


D89=0.374 mm


TL=7.080 mm


Hmax=4.7 mm


Dep=3.034 mm









TABLE 12







Aspherical surface data















i
k
A4
A6
A8
A10
A12
A14
A16


















1
−2.021E−01
1.950E−03
1.461E−03
−2.186E−03
2.225E−03
−1.289E−03
3.945E−04
−5.076E−05


2
0.000E+00
−4.006E−02
5.789E−02
−5.920E−02
4.371E−02
−2.068E−02
5.451E−03
−6.093E−04


3
−7.661E+00
−3.992E−02
2.634E−02
−1.461E−02
8.802E−03
−4.525E−03
1.322E−03
−1.558E−04


4
−1.008E+01
2.090E−02
−3.575E−02
3.730E−02
−3.169E−02
1.669E−02
−4.873E−03
6.239E−04


5
0.000E+00
2.000E−02
−8.235E−03
−3.809E−03
2.936E−03
5.535E−03
−3.912E−03
6.466E−04


6
0.000E+00
1.091E−02
−3.288E−03
4.265E−03
−6.964E−03
1.199E−02
−4.794E−03
4.250E−04


7
0.000E+00
−5.107E−02
3.087E−02
−5.122E−02
3.654E−02
−1.691E−02
6.491E−03
−1.386E−03


8
0.000E+00
−2.000E−02
−2.154E−02
−1.653E−02
1.246E−02
3.139E−05
−1.503E−03
1.267E−04


9
0.000E+00
3.827E−02
−7.645E−02
2.349E−02
−1.071E−03
4.438E−04
−5.938E−04
−7.794E−05


10
0.000E+00
2.521E−02
−4.740E−02
8.717E−03
1.173E−03
1.887E−04
−6.015E−04
1.452E−04


11
0.000E+00
−2.381E−02
6.263E−03
−1.329E−02
2.170E−04
1.317E−03
3.720E−04
−1.352E−04


12
0.000E+00
−8.458E−02
4.313E−02
−1.179E−02
−5.871E−04
1.423E−03
−3.455E−04
3.046E−05


13
5.131E−02
−5.643E−02
3.375E−02
−9.586E−03
2.820E−03
−5.097E−04
4.710E−05
−3.060E−06


14
−2.071E+00
−1.245E−02
2.716E−03
−2.379E−03
1.774E−03
−3.579E−04
1.896E−05
3.985E−07


15
0.000E+00
−4.426E−03
−1.284E−02
3.735E−03
−7.670E−04
5.601E−05
5.478E−06
−6.563E−07


16
0.000E+00
2.069E−03
−3.306E−03
2.390E−04
7.305E−05
−1.516E−05
1.008E−06
−2.231E−08


17
0.000E+00
−6.769E−02
1.739E−02
−1.967E−03
8.486E−05
1.575E−06
−2.449E−07
5.613E−09


18
−5.543E+00
−4.031E−02
9.921E−03
−1.855E−03
2.171E−04
−1.523E−05
5.900E−07
−9.610E−09









The values of the respective conditional expressions are as follows:


f1/f=0.82


f2/f1=−3.41


f2/f=−2.78


f23/f=−2.13


f2/f3=0.31


f3/f=−8.91


R7f/R7r=0.91


R8f/R8r=1.18


T8/T7=1.59


D67/D89=0.40


D89/f=0.06


f89/f=−1.26


R9r/f=0.43


f9/f=−1.34


TL/f=1.18


TL/Hmax=1.50


f/Dep=1.98


f67/f=−8.43


Accordingly, the imaging lens of Numerical Data Example 6 satisfies the above-described conditional expressions.



FIG. 17 shows a lateral aberration that corresponds to an image height H and FIG. 18 shows a spherical aberration (mm), astigmatism (mm), and a distortion (%), respectively. As shown in FIGS. 17 and 18, according to the imaging lens of Numerical Data Example 6, the aberrations can be also satisfactorily corrected.


Numerical Data Example 7

Basic Lens Data









TABLE 13







f = 5.62 mm Fno = 2.0 ω = 39.9°















r
d






i


n d
ν d
[mm]
















L1
1* (ST)
2.522
0.673
1.5443
55.9
f1 = 5.250



2*
19.459
0.087





L2
3*
4.268
0.258
1.6707
19.2
f2 = −14.441



4*
2.891
0.335





L3
5*
23.760
0.239
1.6707
19.2
f3 = −105.777



6*
17.727
0.232





L4
7*
43.426
0.447
1.5443
55.9
f4 = 36.947



8*
−37.320
0.052





L5
9*
−19.832
0.298
1.5443
55.9
f5 = −41.723



10*
−157.351
0.281





L6
11*
12.522
0.542
1.5443
55.9
f6 = 12.859



12*
−15.626
0.359





L7
13*
−3.098
0.304
1.6707
19.2
f7 = 28.123



14*
−2.766
0.029





L8
15*
4.911
0.538
1.5443
55.9
f8 = 17.392



16*
9.810
0.583





L9
17*
−80.620
0.600
1.5443
55.9
f9 = −4.504



18*
2.535
0.250






19

0.210
1.5168
64.2




20

0.696





(IM)












f123=7.755 mm


f456=12.427 mm


f789=−9.754 mm


f23=−12.648 mm


f89=−6.958 mm


T7=0.304 mm


T8=0.538 mm


D67=0.359 mm


D89=0.583 mm


TL=6.942 mm


Hmax=4.7 mm


Dep=2.836 mm









TABLE 14







Aspherical surface data















i
k
A4
A6
A8
A10
A12
A14
A16


















1
2.667E−01
9.264E−06
−1.923E−04
6.247E−04
−5.346E−04
2.242E−04
−8.682E−06
−1.263E−05


2
0.000E+00
−1.775E−02
2.262E−02
−1.415E−02
4.962E−03
−7.481E−04
−4.293E−05
1.552E−05


3
−1.910E+01
−2.233E−02
2.358E−02
−1.368E−02
4.926E−03
−9.059E−04
1.790E−04
−2.916E−05


4
−1.167E+01
2.017E−02
−1.440E−02
1.179E−02
−5.609E−03
1.880E−03
−4.125E−04
2.287E−04


5
0.000E+00
−4.592E−03
−1.464E−03
9.476E−05
4.595E−05
2.649E−05
1.024E−04
2.457E−05


6
0.000E+00
−3.933E−03
−3.531E−04
5.162E−04
2.531E−04
8.080E−05
1.135E−05
−5.714E−06


7
0.000E+00
−2.029E−02
−9.821E−03
−1.560E−07
−5.334E−04
2.655E−04
1.363E−04
4.184E−06


8
0.000E+00
−5.746E−03
−1.210E−02
−1.551E−03
1.947E−04
1.879E−04
8.057E−05
−7.215E−05


9
0.000E+00
−1.547E−02
−2.387E−03
1.665E−03
1.115E−04
5.112E−05
1.175E−07
−2.914E−05


10
0.000E+00
−4.704E−02
2.004E−04
1.582E−03
4.968E−04
5.461E−05
−3.719E−05
5.990E−06


11
0.000E+00
−3.937E−02
−2.606E−05
−2.581E−03
−7.517E−06
3.183E−04
4.157E−05
−1.706E−05


12
0.000E+00
−5.071E−02
1.065E−02
−2.090E−03
−1.280E−03
1.128E−03
−2.688E−04
2.116E−05


13
6.915E−01
−1.320E−02
2.120E−02
−1.220E−02
4.167E−03
−6.779E−04
2.944E−05
2.267E−06


14
−4.818E+00
−1.640E−02
1.530E−02
−8.588E−03
2.347E−03
−3.049E−04
1.721E−05
−3.562E−07


15
0.000E+00
−1.634E−02
−5.712E−04
−1.181E−03
3.331E−04
−5.570E−05
5.420E−06
−2.145E−07


16
0.000E+00
−4.474E−03
−7.343E−04
−5.448E−04
1.124E−04
−8.026E−06
−2.252E−08
2.510E−08


17
0.000E+00
−6.849E−02
1.529E−02
−1.782E−03
1.446E−04
−8.474E−06
3.137E−07
−5.282E−09


18
−5.903E+00
−4.457E−02
1.156E−02
−2.089E−03
2.372E−04
−1.594E−05
5.788E−07
−8.726E−09









The values of the respective conditional expressions are as follows:


f1/f=0.93


f2/f1=−2.75


f2/f=−2.57


f23/f=−2.25


f2/f3=0.14


f3/f=−18.84


R7f/R7r=1.12


R8f/R8r=0.50


T8/T7=1.77


D67/D89=0.62


D89/f=0.10


f89/f=−1.24


R9r/f=0.45


f9/f=−0.80


TL/f=1.24


TL/Hmax=1.48


f/Dep=1.98


f6/f=2.29


f7/f=5.01


f8/f=3.10


Accordingly, the imaging lens of Numerical Data Example 7 satisfies the above-described conditional expressions.



FIG. 20 shows a lateral aberration that corresponds to an image height H and FIG. 21 shows a spherical aberration (mm), astigmatism (mm), and a distortion (%), respectively. As shown in FIGS. 20 and 21, according to the imaging lens of Numerical Data Example 7, the aberrations can be also satisfactorily corrected.


Numerical Data Example 8

Basic Lens Data









TABLE 15







f = 5.89 mm Fno = 2.0 ω = 38.5°















r
d






i


n d
ν d
[mm]
















L1
1* (ST)
2.486
0.697
1.5443
55.9
f1 = 5.138



2*
20.152
0.090





L2
3*
4.082
0.243
1.6707
9.21
f2 = −15.463



4*
2.859
0.324





L3
5*
79.149
0.250
1.6707
9.21
f3 = −98.754



6*
36.013
0.309





L4
7*
34.000
0.471
1.5443
55.9
f4 = 48.676



8*
−119.441
0.047





L5
9*
−23.489
0.319
1.5443
55.9
f5 = −98.295



10*
−42.072
0.270





L6
11*
12.758
0.501
1.5443
55.9
f6 = 11.990



12*
−13.176
0.305





L7
13*
−3.202
0.315
1.6707
19.2
f7 = 22.069



14*
−2.737
0.030





L8
15*
6.229
0.350
1.5443
55.9
f8 = −90.312



16*
5.419
0.663





L9
17*
294.539
0.772
1.5443
55.9
f9 = −4.845



18*
2.612
0.250






19

0.210
1.5168
64.2




20

0.622





(IM)












f123=7.323 mm


f456=10.757 mm


f789=−6.074 mm


f23=−13.343 mm


f89=−4.629 mm


T7=0.315 mm


T8=0.350 mm


D67=0.305 mm


D89=0.663 mm


TL=6.969 mm


Hmax=4.7 mm


Dep=2.972 mm









TABLE 16







Aspherical surface data















i
k
A4
A6
A8
A10
A12
A14
A16


















1
1.517E−01
9.800E−05
−4.459E−03
1.811E−03
−8.218E−04
−1.503E−04
1.221E−04
−3.482E−05


2
0.000E+00
−2.324E−02
2.571E−02
1.678E−02
5.364E−03
−5.919E−04
−1.647E−04
2.823E−05


3
−2.124E+01
−2.734E−02
3.110E−02
−1.066E−02
4.557E−03
−1.297E−03
1.414E−04
−2.919E−06


4
−1.253E+01
1.000E−02
−5.599E−03
1.773E−02
−2.924E−03
7.515E−04
−1.118E−03
3.424E−04


5
0.000E+00
1.942E−02
2.708E−03
7.012E−03
4.241E−03
−2.792E−03
−1.070E−03
4.916E−04


6
0.000E+00
3.103E−02
1.795E−03
7.714E−03
3.084E−03
−2.004E−03
−1.362E−03
5.002E−04


7
0.000E+00
−1.691E−02
−5.889E−03
2.098E−03
−1.020E−04
7.933E−04
−1.080E−04
−7.442E−05


8
0.000E+00
−1.588E−02
−1.101E−02
−1.157E−03
8.931E−04
−1.358E−04
−3.902E−05
−3.046E−05


9
0.000E+00
−2.072E−02
−4.226E−03
2.110E−03
8.804E−05
1.663E−04
−1.877E−05
−5.095E−05


10
0.000E+00
−5.517E−02
−1.050E−03
2.105E−03
8.162E−04
1.682E−04
−3.481E−05
−2.726E−05


11
0.000E+00
−4.976E−02
−2.745E−03
−4.044E−03
3.231E−04
5.257E−04
4.486E−05
−4.194E−05


12
0.000E+00
−5.632E−02
1.100E−02
−2.063E−03
−1.256E−03
1.117E−03
−2.668E−04
1.954E−05


13
1.273E+00
−4.936E−02
2.725E−02
−1.150E−02
4.137E−03
−6.790E−04
3.164E−05
2.081E−06


14
−6.318E+00
−3.865E−02
1.268E−02
−7.562E−03
2.476E−03
−3.165E−04
1.487E−05
−4.455E−07


15
0.000E+00
−9.864E−03
−7.718E−03
5.913E−04
2.531E−04
−7.652E−05
7.714E−06
−2.488E−07


16
0.000E+00
−2.321E−02
1.943E−03
−7.057E−04
1.115E−04
−7.753E−06
−2.288E−08
2.538E−08


17
0.000E+00
−7.594E−02
1.601E−02
−1.767E−03
1.431E−04
−8.638E−06
3.137E−07
−4.652E−09


18
−8.119E+00
−4.207E−02
1.121E−02
−2.070E−03
2.381E−04
−1.598E−05
5.752E−07
−8.570E−09









The values of the respective conditional expressions are as follows:


f1/f=0.87


f2/f1=−3.01


f2/f=−2.63


f23/f=−2.27


f2/f3=0.16


f3/f=−16.78


R7f/R7r=1.17


R8f/R8r=1.15


T8/T7=1.11


D67/D89=0.46


D89/f=0.11


f89/f=−0.79


R9r/f=0.44


f9/f=−0.82


TL/f=1.18


TL/Hmax=1.49


f/Dep=1.98


f6/f=2.04


f7/f=3.75


Accordingly, the imaging lens of Numerical Data Example 8 satisfies the above-described conditional expressions.



FIG. 23 shows a lateral aberration that corresponds to an image height H and FIG. 24 shows a spherical aberration (mm), astigmatism (mm), and a distortion (%), respectively. As shown in FIGS. 23 and 24, according to the imaging lens of Numerical Data Example 8, the aberrations can be also satisfactorily corrected.


Numerical Data Example 9

Basic Lens Data









TABLE 17







f = 5.66 mm Fno = 2.0 ω = 39.8°















r
d






i


n d
ν d
[mm]
















L1
1* (ST)
2.543
0.681
1.5443
55.9
f1 = 5.224



2*
21.809
0.069





L2
3*
4.848
0.308
1.6707
19.2
f2 = −14.048



4*
3.120
0.276





L3
5*
9.177
0.250
1.6707
19.2
f3 = −100.881



6*
7.993
0.271





L4
7*
34.805
0.400
1.5443
55.9
f4 = 32.260



8*
−35.294
0.058





L5
9*
−23.138
0.297
1.5443
55.9
f5 = −42.426



10*
11601.980
0.302





L6
11*
11.743
0.503
1.5443
55.9
f6 = 10.980



12*
−11.986
0.364





L7
13*
− 2.840
0.315
1.6707
19.2
f7 = −100.404



14*
−3.097
0.030





L8
15*
4.674
0.572
1.5443
55.9
f8 = 15.063



16*
10.403
0.565





L9
17*
−49.558
0.822
1.5443
55.9
f8 = −4.684



18*
2.703
0.250






19

0.210
1.5168
64.2




20

0.528





(IM)












f123=7.735 mm


f456=10.240 mm


f789=−7.065 mm


f23=−12.205 mm


f89=−8.144 mm


T7=0.315 mm


T8=0.572 mm


D67=0.364 mm


D89=0.565 mm


TL=6.997 mm


Hmax=4.7 mm


Dep=2.857 mm









TABLE 18







Aspherical surface data















i
k
A4
A6
A8
A10
A12
A14
A16


















1
2.623E−01
−5.254E−05
−1.981E−04
−6.098E−04
−5.456E−04
2.191E−04
−9.993E−06
−1.247E−05


2
0.000E+00
−1.763E−02
2.267E−02
−1.416E−02
4.946E−03
−7.564E−04
−4.393E−05
1.826E−05


3
−1.812E+01
−2.214E−02
2.365E−02
−1.365E−02
4.920E−03
−9.142E−04
1.779E−04
−2.703E−05


4
−1.166E+01
2.046E−02
−1.425E−02
1.185E−02
−5.555E−03
1.922E−03
−3.979E−04
2.249E−04


5
0.000E+00
−4.648E−03
−1.729E−03
1.374E−04
1.324E−04
6.710E−05
1.067E−04
1.363E−05


6
0.000E+00
−4.141E−03
−2.456E−04
5.246E−04
2.301E−04
6.319E−05
1.417E−06
−1.200E−05


7
0.000E+00
−2.050E−02
−9.789E−03
−6.377E−05
−5.770E−04
2.480E−04
1.324E−04
5.591E−06


8
0.000E+00
−5.582E−03
−1.213E−02
−1.595E−03
1.736E−04
1.806E−04
7.797E−05
−7.358E−05


9
0.000E+00
−1.553E−02
−2.465E−03
1.647E−03
1.050E−04
4.780E−05
−9.053E−07
−2.889E−05


10
0.000E+00
−4.681E−02
2.783E−04
1.561E−03
4.865E−04
5.250E−05
−3.748E−05
5.843E−06


11
0.000E+00
−3.991E−02
−1.715E−04
−2.561E−03
2.754E−06
3.199E−04
4.159E−05
−1.716E−05


12
0.000E+00
−5.096E−02
1.052E−02
−2.115E−03
−1.284E−03
1.128E−03
−2.686E−04
2.123E−05


13
6.523E−01
−1.043E−02
2.163E−02
−1.217E−02
4.168E−03
−6.784E−04
2.912E−05
2.137E−06


14
−4.420E+00
−1.797E−02
1.526E−02
−8.569E−03
2.349E−03
−3.048E−04
1.714E−05
−3.867E−07


15
0.000E+00
−2.018E−02
−9.813E−05
−1.255E−03
3.262E−04
−5.540E−05
5.482E−06
−2.301E−07


16
0.000E+00
−4.844E−03
−9.053E−04
−5.428E−04
1.127E−04
−7.996E−06
−1.856E−08
2.539E−08


17
0.000E+00
−6.872E−02
1.529E−02
−1.782E−03
1.446E−04
−8.474E−06
3.134E−07
−5.346E−09


18
−4.694E+00
−4.450E−02
1.154E−02
−2.091E−03
2.371E−04
−1.594E−05
5.788E−07
−8.713E−09









The values of the respective conditional expressions are as follows:


f1/f=0.92


f2/f1=−2.69


f2/f=−2.48


f23/f=−2.16


f2/f3=0.14


f3/f=−17.83


R7f/R7r=0.92


R8f/R8r=0.45


T8/T7=1.81


D67/D89=0.64


D89/f=0.10


f89/f=−1.44


R9r/f=0.48


f9/f=−0.83


TL/f=1.24


TL/Hmax=1.49


f/Dep=1.98


f6/f=1.94


f8/f=2.66


Accordingly, the imaging lens of Numerical Data Example 9 satisfies the above-described conditional expressions.



FIG. 26 shows a lateral aberration that corresponds to an image height H and FIG. 27 shows a spherical aberration (mm), astigmatism (mm), and a distortion (%), respectively. As shown in FIGS. 26 and 27, according to the imaging lens of Numerical Data Example 9, the aberrations can be also satisfactorily corrected.


Numerical Data Example 10

Basic Lens Data









TABLE 19







f = 5.98 mm Fno = 2.0 ω = 38.2°















r
d






i


n d
ν d
[mm]
















L1
1* (ST)
2.418
0.752
1.5443
55.9
f1 = 4.987



2*
19.698
0.081





L2
3*
4.078
0.240
1.6707
19.2
f2 = −15.867



4*
2.879
0.310





L3
5*
−44.959
0.250
1.6707
19.2
f3 = −57.625



6*
275.986
0.318





L4
7*
22.632
0.459
1.5443
55.9
f4 = 35.719



8*
−136.952
0.074





L5
9*
−27.854
0.337
1.5443
55.9
f5 = −100.327



10*
−57.094
0.278





L6
11*
14.144
0.451
1.5443
55.9
f6 = 10.713



12*
−9.810
0.356





L7
13*
−2.867
0.288
1.6707
19.2
f7 = −100.443



14*
−3.116
0.050





L8
15*
5.686
0.350
1.5443
55.9
f8 = −100.278



16*
5.038
0.609





L9
17*
37.394
0.925
1.5443
55.9
f9 = −5.575



18*
2.782
0.250






19

0.210
1.5168
64.2




20

0.473





(IM)












f123=7.209 mm


f456=9.124 mm


f789=−4.801 mm


f23=−12.449 mm


f89=−5.327 mm


T7=0.288 mm


T8=0.350 mm


D67=0.356 mm


D89=0.609 mm


TL=6.993 mm


Hmax=4.7 mm


Dep=3.020 mm









TABLE 20







Aspherical surface data















i
k
A4
A6
A8
A10
A12
A14
A16


















1
1.692E−01
−9.885E−04
−2.383E−03
9.891E−04
−9.266E−04
−9.577E−05
1.955E−04
−5.803E−05


2
0.000E+00
−3.003E−02
3.738E−02
−3.047E−02
−1.609E−02
5.313E−03
8.738E−04
−5.852E−05


3
−2.164E+01
−3.221E−02
3.069E−02
−8.889E−03
4.696E−03
−1.666E−03
4.574E−05
5.530E−05


4
−9.345E+00
−4.380E−04
−3.804E−04
2.041E−02
−4.171E−03
3.848E−04
−1.169E−03
4.521E−04


5
0.000E+00
4.632E−02
−6.528E−03
9.725E−03
3.926E−03
−3.907E−03
−4.360E−04
4.414E−04


6
0.000E+00
5.141E−02
−6.300E−04
4.347E−03
2.157E−03
1.388E−03
−3.468E−03
9.951E−04


7
0.000E+00
−2.524E−02
−5.482E−03
4.551E−03
−1.146E−03
2.075E−04
4.119E−04
−1.143E−04


8
0.000E+00
−3.744E−02
−1.162E−02
−4.595E−03
3.567E−03
3.278E−05
−2.869E−05
−4.915E−05


9
0.000E+00
−2.778E−02
−1.043E−02
1.666E−03
5.376E−05
4.018E−04
1.787E−04
−9.982E−05


10
0.000E+00
−4.973E−02
−3.544E−03
3.234E−03
1.595E−04
−2.310E−04
−3.828E−05
2.081E−05


11
0.000E+00
−3.758E−02
−5.607E−03
−4.732E−03
2.533E−04
6.225E−04
3.274E−05
−5.463E−05


12
0.000E+00
−2.913E−02
7.776E−03
−4.370E−03
−6.348E−04
1.119E−03
−2.943E−04
2.354E−05


13
6.870E−01
−6.137E−02
2.734E−02
−9.958E−03
4.133E−03
−7.290E−04
2.834E−05
2.980E−06


14
−1.938E+00
−4.662E−02
1.116E−02
−5.938E−03
2.518E−03
−3.785E−04
1.613E−05
1.499E−07


15
0.000E+00
−2.107E−02
−4.638E−03
8.480E−04
1.078E−04
−7.181E−05
8.673E−06
−2.519E−07


16
0.000E+00
−3.457E−02
4.179E−03
−7.238E−04
5.924E−05
−4.153E−06
2.673E−07
1.739E−09


17
0.000E+00
−8.485E−02
1.706E−02
−1.786E−03
1.417E−04
−8.674E−06
3.105E−07
−4.162E−09


18
−8.023E+00
−4.193E−02
1.124E−02
−2.065E−03
2.358E−04
−1.585E−05
5.737E−07
−8.598E−09









The values of the respective conditional expressions are as follows:


f1/f=0.83


f2/f1=−3.18


f2/f=−2.65


f23/f=−2.08


f2/f3=0.28


f3/f=−9.64


R7f/R7r=0.92


R8f/R8r=1.13


T8/T7=1.21


D67/D89=0.58


D89/f=0.10


f89/f=−0.89


R9r/f=0.47


f9/f=−0.93


TL/f=1.17


TL/Hmax=1.49


f/Dep=1.98


f6/f=1.79


Accordingly, the imaging lens of Numerical Data Example 10 satisfies the above-described conditional expressions.



FIG. 29 shows a lateral aberration that corresponds to an image height H and FIG. 30 shows a spherical aberration (mm), astigmatism (mm), and a distortion (%), respectively. As shown in FIGS. 29 and 30, according to the imaging lens of Numerical Data Example 10, the aberrations can be also satisfactorily corrected.


Numerical Data Example 11

Basic Lens Data









TABLE 21







f = 5.98 mm Fno = 2.0 ω = 38.2°















r
d






i


n d
ν d
[mm]
















L1
1* (ST)
2.386
0.793
1.5443
55.9
f1 = 4.856



2*
21.681
0.031





L2
3*
4.805
0.259
1.6707
19.2
f2 = −14.472



4*
3.144
0.372





L3
5*
49.604
0.270
1.6707
19.2
f3 = −80.521



6*
25.799
0.251





L4
7*
22.357
0.413
1.5443
55.9
f4 = 24.085



8*
−31.487
0.056





L5
9*
−128.543
0.268
1.5443
55.9
f5 = −100.323



10*
95.004
0.231





L6
11*
−27.879
0.721
1.5443
55.9
f6 = −100.378



12*
−57.447
0.260





L7
13*
−3.091
0.264
1.6707
19.2
f7 = 26.611



14*
−2.725
0.055





L8
15*
5.029
0.661
1.5443
55.9
f8 = 14.638



16*
13.003
0.566





L9
17*
−99.572
0.512
1.5443
55.9
f9 = −4.775



18*
2.674
0.250






19

0.210
1.5168
64.2




20

0.674





(IM)












f123=6.981 mm


f456=45.863 mm


f789=−13.556 mm


f23=−12.217 mm


f89=−8.425 mm


T7=0.264 mm


T8=0.661 mm


D67=0.260 mm


D89=0.566 mm


TL=7.044 mm


Hmax=4.7 mm


Dep=3.019 mm









TABLE 22







Aspherical surface data















i
k
A4
A6
A8
A10
A12
A14
A16


















1
−2.478E−01
1.672E−03
8.460E−04
−2.214E−03
2.232E−03
−1.291E−03
3.922E−04
−5.444E−05


2
0.000E+00
−4.078E−02
5.744E−02
−5.922E−02
4.376E−02
−2.070E−02
5.438E−03
−6.013E−04


3
−8.718E+00
−4.056E−02
2.619E−02
−1.470E−02
8.725E−03
−4.446E−03
1.369E−03
−1.647E−04


4
−8.954E+00
1.930E−02
−3.676E−02
3.780E−02
−3.128E−02
1.674E−02
−4.904E−03
6.318E−04


5
0.000E+00
1.788E−02
−7.358E−03
−3.670E−03
2.862E−03
5.423E−03
−3.985E−03
6.815E−04


6
0.000E+00
1.201E−02
−3.302E−03
4.291E−03
−6.777E−03
1.213E−02
−4.738E−03
3.147E−04


7
0.000E+00
−5.074E−02
3.055E−02
−5.034E−02
3.753E−02
−1.648E−02
6.541E−03
−1.447E−03


8
0.000E+00
−1.767E−02
−2.087E−02
−1.677E−02
1.276E−02
2.375E−04
−1.449E−03
9.538E−05


9
0.000E+00
4.357E−02
−7.688E−02
2.368E−02
−1.254E−03
3.842E−04
−5.582E−04
−4.745E−05


10
0.000E+00
1.950E−02
−4.806E−02
8.474E−03
1.101E−03
1.936E−04
−5.811E−04
1.593E−04


11
0.000E+00
−3.284E−02
4.450E−03
−1.375E−02
1.761E−04
1.361E−03
3.857E−04
−1.398E−04


12
0.000E+00
−9.148E−02
4.263E−02
−1.177E−02
−5.886E−04
1.414E−03
−3.502E−04
2.847E−05


13
9.996E−02
−5.575E−02
3.385E−02
−9.831E−03
2.768E−03
−5.122E−04
4.905E−06
−2.242E−06


14
−2.831E+00
−1.661E−02
2.476E−03
−2.270E−03
1.792E−03
−3.559E−04
1.896E−05
3.063E−07


15
0.000E−00
−8.883E−03
−1.238E−02
3.741E−03
−7.348E−04
5.811E−05
4.997E−06
−7.860E−07


16
0.000E+00
8.890E−03
−4.315E−03
2.446E−04
7.856E−05
−1.499E−05
9.926E−07
−2.424E−08


17
0.000E+00
−6.408E−02
1.744E−02
−1.969E−03
8.481E−05
1.574E−06
−2.449E−07
5.566E−09


18
−9.129E+00
−3.843E−02
9.946E−03
−1.856E−03
2.171E−04
−1.523E−05
6.898E−07
−9.641E−09









The values of the respective conditional expressions are as follows:


f1/f=0.81


f2/f1=−2.98


f2/f=−2.42


f23/f=−2.04


f2/f3=0.18


f3/f=−13.47


R7f/R7r=1.13


R8f/R8r=0.39


T8/T7=2.51


D67/D89=0.46


D89/f=0.09


f89/f=−1.41


R9r/f=0.45


f9/f=−0.80


TL/f=1.18


TL/Hmax=1.50


f/Dep=1.98


f7/f=4.45


f8/f=2.45


Accordingly, the imaging lens of Numerical Data Example 11 satisfies the above-described conditional expressions.



FIG. 32 shows a lateral aberration that corresponds to an image height H and FIG. 33 shows a spherical aberration (mm), astigmatism (mm), and a distortion (%), respectively. As shown in FIGS. 32 and 33, according to the imaging lens of Numerical Data Example 11, the aberrations can be also satisfactorily corrected.


Numerical Data Example 12

Basic Lens Data









TABLE 23







f = 5.86 mm Fno = 2.0 ω = 38.8°















r
d






i


n d
ν d
[mm]
















L1
1* (ST)
2.332
0.834
1.5443
55.9
f1 = 4.738



2*
21.277
0.032





L2
3*
4.970
0.240
1.6707
19.2
f2 = −15.864



4*
3.322
0.335





L3
5*
−22.365
0.320
1.6707
19.2
f3 = −66.078



6*
−45.408
0.220





L4
7*
30.294
0.443
1.5443
55.9
f4 = 20.786



8*
−17.965
0.067





L5
9*
−36.155
0.298
1.5443
55.9
f5 = −100.550



10*
−106.845
0.231





L6
11*
−12.368
0.675
1.5443
55.9
f6 = −100.326



12*
−16.297
0.165





L7
13*
−3.274
0.270
1.6707
19.2
f7 = 12.413



14*
−2.428
0.168





L8
15*
7.661
0.547
1.5443
55.9
f8 = −100.406



16*
6.550
0.692





L9
17*
50.183
0.492
1.5443
55.9
f9 = −4.817



18*
2.483
0.250






19

0.210
1.5168
64.2




20

0.481





(IM)












f123=6.646 mm


f456=35.830 mm


f789=−8.922 mm


f23=−12.818 mm


f89=−4.663 mm


T7=0.270 mm


T8=0.547 mm


D67=0.165 mm


D89=0.692 mm


TL=6.900 mm


Hmax=4.7 mm


Dep=2.961 mm









TABLE 24







Aspherical surface data















i
k
A4
A6
A8
A10
A12
A14
A16


















1
−2.800E−01
1.359E−03
5.994E−04
−2.405E−03
2.151E−03
−1.316E−03
3.865E−04
−5.565E−05


2
0.000E+00
−4.211E−02
5.699E−02
−5.942E−02
4.369E−02
−2.071E−02
5.444E−03
−6.036E−04


3
−6.873E+00
−3.935E−02
2.681E−02
−1.435E−02
8.818E−03
−4.466E−03
1.350E−03
−1.531E−04


4
−9.388E+00
1.982E−02
−3.654E−02
3.762E−02
−3.135E−02
1.677E−02
−4.867E−03
6.250E−04


5
0.000E+00
1.648E−02
−7.727E−03
−3.725E−03
2.866E−03
5.438E−03
−3.987E−03
6.621E−04


6
0.000E+00
1.390E−02
−2.129E−03
4.734E−03
−6.634E−03
1.213E−02
−4.789E−03
2.670E−04


7
0.000E+00
−4.691E−02
3.043E−02
−5.078E−02
3.734E−02
−1.655E−02
6.494E−03
−1.497E−03


8
0.000E+00
−2.127E−02
−2.184E−02
−1.719E−02
1.256E−02
1.585E−04
−1.463E−03
1.025E−04


9
0.000E+00
3.848E−02
−7.850E−02
2.359E−02
−1.208E−03
3.756E−04
−5.813E−04
−6.583E−05


10
0.000E+00
1.701E−02
−4.777E−02
8.332E−03
1.016E−03
1.642E−04
−5.900E−04
1.561E−04


11
0.000E+00
−3.564E−02
4.091E−03
−1.370E−02
1.939E−04
1.363E−03
3.862E−04
−1.394E−04


12
0.000E+00
−8.897E−02
4.270E−02
−1.185E−02
−6.043E−04
1.413E−03
−3.496E−04
2.876E−05


13
1.714E−01
−5.703E−02
3.376E−02
−9.804E−03
2.774E−03
−5.119E−04
4.893E−05
−2.273E−06


14
−3.380E+00
−1.463E−02
2.625E−03
−2.288E−03
1.788E−03
−3.565E−04
1.897E−05
3.161E−07


15
0.000E+00
2.595E−03
−1.325E−02
3.640E−03
−7.460E−04
5.799E−05
5.211E−06
−7.371E−07


16
0.000E+00
5.465E−03
−4.187E−03
2.416E−04
7.806E−05
−1.498E−05
9.966E−07
−2.389E−08


17
0.000E+00
−6.553E−02
1.742E−02
−1.968E−03
8.482E−05
1.574E−06
−2.448E−07
5.601E−09


18
−8.420E+00
−3.936E−02
9.918E−03
−1.856E−03
2.171E−04
−1.523E−05
5.900E−07
−9.628E−09









The values of the respective conditional expressions are as follows:


f1/f=0.81


f2/f1=−3.35


f2/f=−2.71


f23/f=−2.19


f2/f3=0.24


f3/f=−11.27


R7f/R7r=1.35


R8f/R8r=1.17


T8/T7=2.02


D67/D89=0.24


D89/f=0.12


f89/f=−0.80


R9r/f=0.42


f9/f=−0.82


TL/f=1.18


TL/Hmax=1.47


f/Dep=1.98


f7/f=2.12


Accordingly, the imaging lens of Numerical Data Example 12 satisfies the above-described conditional expressions.



FIG. 35 shows a lateral aberration that corresponds to an image height H and FIG. 36 shows a spherical aberration (mm), astigmatism (mm), and a distortion (%), respectively. As shown in FIGS. 35 and 36, according to the imaging lens of Numerical Data Example 12, the aberrations can be also satisfactorily corrected.


Numerical Data Example 13

Basic Lens Data









TABLE 25







f = 5.94 mm Fno = 2.0 ω = 38.4°















r
d






i


n d
ν d
[mm]
















L1
1* (ST)
2.372
0.799
1.5443
55.9
f1 = 4.825



2*
21.538
0.031





L2
3*
4.865
0.283
1.6707
19.2
f2 = −14.118



4*
3.139
0.371





L3
5*
−36.520
0.312
1.6707
19.2
f3 = −100.900



6*
−79.604
0.206





L4
7*
19.817
0.423
1.5443
55.9
f4 = 19.523



8*
−22.740
0.036





L5
9*
128.932
0.265
1.5443
55.9
f5 = −100.354



10*
38.340
0.239





L6
11*
−33.483
0.660
1.5443
55.9
f6 = −100.333



12*
−87.145
0.283





L7
13*
−2.945
0.276
1.6707
19.2
f7 = −100.524



14*
−3.196
0.034





L8
15*
4.415
0.745
1.5443
55.9
f8 = 11.350



16*
14.547
0.584





L9
17*
−46.045
0.574
1.5443
55.9
f9 = −5.097



18*
2.965
0.250






19

0.210
1.5168
64.2




20

0.540





(IM)












f123=6.898 mm


f456=31.561 mm


f789=−10.385 mm


f23=−12.398 mm


f67=−50.848 mm


f89=−12.449 mm


T7=0.276 mm


T8=0.745 mm


D67=0.283 mm


D89=0.584 mm


TL=7.049 mm


Hmax=4.7 mm


Dep=2.999 mm









TABLE 26







Aspherical surface data















i
k
A4
A6
A8
A10
A12
A14
A16


















1
−2.421E−01
1.731E−03
9.044E−04
−2.210E−03
2.231E−03
−1.291E−03
3.927E−04
−5.413E−05


2
0.000E+00
−4.075E−02
5.747E−02
−5.921E−02
4.376E−02
−2.070E−02
5.438E−03
−6.018E−04


3
−8.854E+00
−4.059E−02
2.621E−02
−1.469E−02
8.722E−03
−4.451E−03
1.366E−03
−1.649E−04


4
−8.824E+00
1.944E−02
−3.671E−02
3.782E−02
−3.125E−02
1.675E−02
−4.899E−03
6.300E−04


5
0.000E+00
1.848E−02
−7.135E−03
−3.576E−03
2.912E−03
5.449E−03
−3.972E−03
6.878E−04


6
0.000E+00
1.156E−02
−3.329E−03
4.303E−03
−6.773E−03
1.213E−02
−4.727E−03
3.288E−04


7
0.000E+00
−5.041E−02
3.039E−02
−5.048E−02
3.748E−02
−1.650E−02
6.531E−03
−1.456E−03


8
0.000E+00
−1.724E−02
−2.088E−02
−1.683E−02
1.272E−02
2.213E−04
−1.452E−03
9.781E−05


9
0.000E+00
4.269E−02
−7.706E−02
2.364E−02
−1.263E−03
3.782E−04
−5.628E−04
−5.053E−05


10
0.000E+00
1.930E−02
−4.819E−02
8.429E−03
1.086E−03
1.900E−04
−5.815E−04
1.594E−04


11
0.000E+00
−3.328E−02
4.499E−03
−1.375E−02
1.714E−04
1.359E−03
3.851E−04
−1.399E−04


12
0.000E+00
−9.138E−02
4.247E−02
−1.179E−02
−5.911E−04
1.414E−03
−3.501E−04
2.853E−05


13
4.360E−02
−5.480E−02
3.400E−02
−9.820E−03
2.768E−03
−5.126E−04
4.889E−05
−2.287E−06


14
−2.437E+00
−1.744E−02
2.376E−03
−2.276E−03
1.792E−03
−3.557E−04
1.902E−05
3.226E−07


15
0.000E+00
−1.364E−02
−1.194E−02
3.726E−03
−7.391E−04
5.795E−05
5.037E−06
−7.767E−07


16
0.000E+00
9.156E−03
−4.305E−03
2.435E−04
7.840E−05
−1.499E−05
9.941E−07
−2.404E−08


17
0.000E+00
−6.407E−02
1.745E−02
−1.968E−03
8.483E−05
1.573E−06
−2.450E−07
5.547E−09


18
−9.004E+00
−3.806E−02
9.927E−03
−1.857E−03
2.171E−04
−1.523E−05
5.898E−07
−9.630E−09









The values of the respective conditional expressions are as follows:


f1/f=0.81


f2/f1=−2.93


f2/f=−2.38


f23/f=−2.09


f2/f3=0.14


f3/f=−16.99


R7f/R7r=0.92


R8f/R8r=0.30


T8/T7=2.70


D67/D89=0.48


D89/f=0.10


f89/f=−2.10


R9r/f=0.50


f9/f=−0.86


TL/f=1.19


TL/Hmax=1.50


f/Dep=1.98


f67/f=−8.56


f8/f=1.91


Accordingly, the imaging lens of Numerical Data Example 13 satisfies the above-described conditional expressions.



FIG. 38 shows a lateral aberration that corresponds to an image height H and FIG. 39 shows a spherical aberration (mm), astigmatism (mm), and a distortion (%), respectively. As shown in FIGS. 38 and 39, according to the imaging lens of Numerical Data Example 13, the aberrations can be also satisfactorily corrected.


According to the embodiment of the invention, the imaging lenses have very wide angles of view (2ω) of 65° or greater. More specifically, the imaging lenses of Numerical Data Examples 1 through 13 have angles of view (2ω) of 76.2° to 80.2°. According to the imaging lens of the embodiment, it is possible to take an image over a wider range than that taken by a conventional imaging lens.


In recent years, with advancement in digital-zoom technology to enlarge any range of an image obtained through an imaging lens, an imaging element with a higher pixel count has been often applied in combination with an imaging lens of higher resolution. In case of an imaging element with a high pixel count, a light-receiving area per pixel often decreases, so that an image tends to be dark. According to the imaging lenses of Numerical Data Examples 1 through 13, the Fnos are as small as 2.0. According to the imaging lenses of the embodiment, it is achievable to take a sufficiently bright image even with the above-described imaging element with a higher pixel count.


Accordingly, when the imaging lens of the above-described embodiment is applied in an imaging optical system such as cameras built in mobile devices (e.g., cellular phones, smartphones, and mobile information terminals), digital still cameras, security cameras, onboard cameras, and network cameras, it is possible to attain both high performance and downsizing of the cameras.


The present invention is applicable in an imaging lens that is mounted in a relatively small-sized camera, such as cameras built in mobile devices (e.g., cellular phones, smartphones, and mobile information terminals), digital still cameras, security cameras, onboard cameras, and network cameras.


The disclosure of Japanese Patent Application No. 2019-012070, filed on Jan. 28, 2019, is incorporated in the application by reference.


While the present invention has been explained with reference to the specific embodiment of the present invention, the explanation is illustrative and the present invention is limited only by the appended claims.

Claims
  • 1. An imaging lens comprising: a first lens having positive refractive power;a second lens having negative refractive power;a third lens having negative refractive power;a fourth lens having positive refractive power;a fifth lens;a sixth lens;a seventh lens;an eighth lens; anda ninth lens having negative refractive power, arranged in this order from an object side to an image plane side,wherein said ninth lens is formed in a shape so that a surface thereof on the image plane side has an aspherical shape having an inflection point, andsaid second lens has a focal length f2 and said third lens has a focal length f3 so that the following conditional expression is satisfied: 0.1<f2/f3<1.2.
  • 2. The imaging lens according to claim 1, wherein said eighth lens is disposed away from the ninth lens by a distance D89 so that the following conditional expression is satisfied: 0.05<D89/f<0.15,where f is a focal length of a whole lens system.
  • 3. The imaging lens according to claim 1, wherein said ninth lens is formed in the shape so that the surface thereof on the image plane side has a paraxial curvature radius R9r so that the following conditional expression is satisfied: 0.2<R9r/f<0.6,
  • 4. The imaging lens according to claim 1, wherein said ninth lens has a focal length f9 so that the following conditional expression is satisfied: −2<f9/f<−0.2,
  • 5. An imaging lens comprising: a first lens having positive refractive power;a second lens having negative refractive power;a third lens having negative refractive power;a fourth lens having positive refractive power;a fifth lens;a sixth lens;a seventh lens;an eighth lens; anda ninth lens having negative refractive power, arranged in this order from an object side to an image plane side,wherein said ninth lens is formed in a shape so that a surface thereof on the image plane side has an aspherical shape having an inflection point, andsaid eighth lens is disposed away from the ninth lens by a distance D89 so that the following conditional expression is satisfied: 0.05<D89/f<0.15,
  • 6. The imaging lens according to claim 5, wherein said second lens has a focal length f2 and said third lens has a focal length f3 so that the following conditional expression is satisfied: 0.1<f2/f3<1.2.
  • 7. The imaging lens according to claim 5, wherein said ninth lens is formed in the shape so that the surface thereof on the image plane side has a paraxial curvature radius R9r so that the following conditional expression is satisfied: 0.2<R9r/f<0.6,
  • 8. The imaging lens according to claim 5, wherein said ninth lens has a focal length f9 so that the following conditional expression is satisfied: −2<f9/f<−0.2,
Priority Claims (1)
Number Date Country Kind
JP2019-12070 Jan 2019 JP national
US Referenced Citations (5)
Number Name Date Kind
20140063624 Morooka Mar 2014 A1
20170010441 Kondo et al. Jan 2017 A1
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Related Publications (1)
Number Date Country
20200241243 A1 Jul 2020 US