# Patent

## Title
Imaging lens

## Abstract

An imaging lens includes a first lens having positive refractive power; a second lens having positive refractive power; a third lens having negative refractive power; a fourth lens having negative refractive power; a fifth lens; a sixth lens; a seventh lens; an eighth lens; and a ninth lens having negative refractive power, 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.

## Background
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 composes the imaging lens is many, it has higher flexibility in designing and can satisfactorily correct aberrations. For example, as the conventional imaging lens having a nine-lens configuration, an imaging lens described in Patent Reference has been known.
Patent Reference: Japanese Patent Application Publication No. 2018-156011
According to the conventional imaging lens of Patent Reference, it is achievable to relatively satisfactorily aberrations. In case of the conventional imaging lens of Patent Reference, 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. In case of the conventional imaging lens having the above-described configuration, it is difficult to downsize the imaging lens while more satisfactorily correcting the aberrations.
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
In order to attain the objects described above, an imaging lens of the invention forms an image of an object on an imaging element. More specifically, according to a first aspect of the present invention, the imaging lens of the invention includes a first lens having positive refractive power, a second lens having positive refractive power, a third lens having negative refractive power, a fourth lens having negative 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. The ninth lens has an image plane-side surface formed as 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-positive-negative-negative”, so that it is suitably achievable to downsize the imaging lens, while satisfactorily correcting the aberrations including a chromatic aberration. In 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, and the second lens similarly having positive refractive power is disposed on an image plane side of the first lens. According to the lens configuration of the invention, where positive refractive power is shared between the two lenses, it is achievable to restrain increase of refractive power of the first lens accompanied with downsizing of the imaging lens. Therefore, it is achievable to suitably downsize the imaging lens. In addition, in the first lens, a ratio of uneven lens thickness, i.e., a ratio of thicknesses between the thinnest part and the thickest part of the lens, can be kept small. Therefore, 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. Moreover, since the ratio of unevenness of the lens thickness is small, flowability of a lens material upon molding the lens can be improved, so that it is also achievable to reduce the manufacturing cost of the first lens.
In addition, disposing the third lens having negative refractive power on an image plane side of the second lens, it is achievable to satisfactorily correct the chromatic aberration. However, with the downsizing of the imaging lens, the first lens and the second lens tend to have stronger refractive powers. In order to achieve further downsizing of the imaging lens and satisfactory correction of the chromatic aberration, the third lens needs to have stronger refractive power. For this reason, in the imaging lens of the invention, the fourth lens having negative refractive power is disposed on an image plane side of the third lens. When the imaging lens has the above-described configuration, the negative refractive power is shared between the two lenses, i.e., the third lens and the fourth lens. Therefore, it is achievable to suitably restrain increase of the refractive power of the third lens. Accordingly, it is possible to suitably attain both further downsizing of the imaging lens and satisfactory correction of the chromatic aberration of the imaging lens. Here, both of the two lenses, i.e., the third and the fourth lenses, have negative refractive powers. Therefore, it is achievable to take wider range of light beams in the imaging lens, and thereby it is possible to achieve wider angle of the imaging lens.
According to the imaging lens of the invention, the ninth lens disposed to be the closest to the image plane side has negative refractive power. Therefore, it is achievable to secure the back focal length, while satisfactorily correcting the field curvature and the distortion at the periphery of an image. In addition, according to the invention, an image plane-side surface of the ninth lens is formed as an aspheric shape having an inflection 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 to change a traveling direction of a light beam. Those optical elements may be disposed before or after the imaging lens or between lenses as necessary.
When the whole lens system has a focal length f and 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/f  (1)

When the image 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 the whole lens system has the focal length f and 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/f  (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 the lens(es) are too strong, it is difficult to correct the aberrations. When the imaging lens satisfies the conditional expression (2), the positive refractive power is shared among the fourth lens, the fifth lens and the sixth lens. Therefore, it is achievable to suitably restrain generation of the aberrations.
When the whole lens system has the focal length f and 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/f<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 is negative. Accordingly, the imaging lens can securely have a telephoto function, and it is suitably achievable to downsize the imaging lens.
According to the imaging lens having the above-described configuration, at least two lenses of the fifth lens, the sixth lens, the seventh lens and the eighth lens preferably have focal lengths longer than 8 times that of the whole lens system. When many lenses are included in the lens configuration, how to correct the aberrations is important. When there are many lenses having short focal lengths, aberrations generated in the lens increase. Therefore, in this case, it tends to be difficult to satisfactory correct the aberrations. For this reason, according to the imaging lens of the invention, at least two of those four lenses work as correcting lenses that primarily correct the aberrations. As a result, it is achievable to satisfactorily correct the aberrations.
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):

4<f1/f<20  (4)

In order to further downsize the imaging lens, the first lens, which is disposed to be the closest to the object side, preferably has strong refractive power. When the positive refractive power of the first lens is too strong, however, it is difficult to correct the aberrations. When the imaging lens satisfies the conditional expression (4), it is achievable to satisfactorily correct the coma aberration, the field curvature and the distortion in a well-balanced manner, while downsizing the imaging lens. In addition, it is also achievable to secure the back focal length.
The imaging lens having the above-described configuration preferably further satisfy the following conditional expression (4a):

5<f1/f<15  (4a)

According to a second aspect of the invention, when the whole lens system has the focal length f and the second lens has a focal length f2, the imaging lens having the above-described configuration preferably satisfies the following conditional expression (5):

0.3<f2/f<1.2  (5)

When the imaging lens satisfies the conditional expression (5), it is achievable to satisfactorily correct the spherical aberration, while downsizing the imaging lens.
The imaging lens having the above-described configuration preferably further satisfy the following conditional expression (5a):

0.5<f2/f<1.2  (5a)

When the first lens has the focal length f1 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<f1/f2<20  (6)

When the imaging lens satisfies the conditional expression (6), it is achievable to downsize the imaging lens, while securing the back focal length. In addition, it is achievable to correct the coma aberration, the field curvature and the distortion in a well-balanced manner.
The imaging lens having the above-described configuration preferably further satisfy the following conditional expression (6a):

7<f1/f2<18  (6a)

When the whole lens system has the focal length f and a composite focal length of the first lens and the second lens is f12, the imaging lens having the above-described configuration preferably satisfies the following conditional expression (6):

0.3<f12/f<2.0  (7)

When the imaging lens satisfies the conditional expression (7), it is achievable to satisfactorily correct the spherical aberration, while downsizing the imaging lens.
The imaging lens having the above-described configuration preferably further satisfy the following conditional expression (7a):

0.5<f12/f<1.2  (7a)

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

−3.5<f3/f<−1.0  (8)

When the imaging lens satisfies the conditional expression (8), it is achievable to satisfactorily correct the chromatic aberration, while downsizing the imaging lens.
When a paraxial curvature radius of the object-side surface of the third lens is R3f and a paraxial curvature radius of the image plane-side surface of the third lens is R3r, the imaging lens having the above-described configuration preferably satisfies the following conditional expression (9):

0.8<R3f/R3r<3.5  (9)

When the imaging lens satisfies the conditional expression (9), it is achievable to satisfactorily correct the chromatic aberration. In addition, it is achievable to restrain the manufacturing error sensitivity within a satisfactory range.
According to the imaging lens having the above-described configuration, the third lens is preferably formed in a shape such that a paraxial curvature radius of an object-side surface thereof and a paraxial curvature radius of an image plane-side surface thereof are both positive, so as to have a shape of a meniscus lens directing a convex surface thereof to an object side near the optical axis. When the third lens is formed in such a shape, it is achievable to increase the lens aperture diameter of the imaging lens, i.e., decrease the F number. Especially, in case of a configuration having the aperture stop on the object side of the first lens, i.e., so-called “aperture in front” type, such shape of the third lens is effective.
When the second lens has the focal length f2 and the third lens has the focal length f3, the imaging lens having the above-described configuration preferably satisfies the following conditional expression (10):

−5.0<f3/f2<−1.0  (10)

When the imaging lens satisfies the conditional expression (10), it is achievable to satisfactorily correct the chromatic aberration and the spherical aberration, while downsizing the imaging lens.
The imaging lens having the above-described configuration preferably further satisfy the following conditional expression (10a):

−3.0<f3/f2<−1.5  (10a)

According to the imaging lens having the above-described configuration, the fourth lens is preferably formed in a shape such that a paraxial curvature radius of an object-side surface thereof and a paraxial curvature radius of an image plane-side surface thereof are both positive, so as to have a shape of a meniscus lens directing a convex surface thereof to an object side near the optical axis. When the fourth lens is formed in such a shape, it is achievable to suitably increase the diameter of the lens aperture of the imaging lens.
According to a fourth aspect of the invention, when the third lens has the focal length f3 and the fourth lens has a focal length f4, the imaging lens having the above-described configuration preferably satisfies the following conditional expression (11):

4<f4/f3<20  (11)

When the imaging lens satisfies the conditional expression (11), it is achievable to satisfactorily correct the chromatic aberration, while restraining the incident angle of a light beam emitted from the imaging lens to the image plane within the range of CRA.
The imaging lens having the above-described configuration preferably further satisfy the following conditional expression (11a):

6<f4/f3<15  (11a)

When the whole lens system has the focal length f and a composite focal length of the third lens and the fourth lens is f34, the imaging lens having the above-described configuration preferably satisfies the following conditional expression (12):

−3<f34/f<−1  (12)

When the imaging lens satisfies the conditional expression (12), it is achievable to satisfactorily correct the chromatic aberration, while downsizing the imaging lens.
When the composite focal length of the first lens and the second lens is f12 and the composite focal length of the third lens and the fourth lens is f34, the imaging lens having the above-described configuration preferably satisfies the following conditional expression (13):

−4.0<f34/f12<−0.5  (13)

When the imaging lens satisfies the conditional expression (13), it is achievable to satisfactorily correct the chromatic aberration and the spherical aberration, while downsizing the imaging lens.
The imaging lens having the above-described configuration preferably further satisfy the following conditional expression (13a):

−3.0<f34/f12<−1.0  (13a)

When the whole lens system has the focal length f, the fifth lens has a focal length f5 and the sixth lens has a focal length f6, the imaging lens having the above-described configuration preferably satisfies the following conditional expression (14):

1.2<f5*f6/{f*(f5+f6)}<6.0  (14)

When the imaging lens satisfies the conditional expression (14), it is achievable to satisfactorily correct the coma aberration and the astigmatism, while downsizing the imaging lens.
The imaging lens having the above-described configuration preferably further satisfies the following conditional expression (14a):

1.4<f5*f6/{f*(f5+f6)}<5.6  (14a)

According to the imaging lens having the above-described configuration, the eighth lens is preferably formed in a shape such that a paraxial curvature radius of a surface thereof on the object-side and a paraxial curvature radius of a surface thereof on the image plane side are both positive, or such that those paraxial curvature radii are both negative, i.e., so as to have a shape of a meniscus lens near the optical axis.
To form the eighth lens to have a shape of a meniscus lens near the optical axis, when a paraxial curvature radius of an object-side surface of the eighth lens is R8f and a paraxial curvature radius of an image plane-side surface of the eighth lens is R8r, the imaging lens having the above-described configuration preferably satisfies the following conditional expression (15):

0.2<R8f/R8r<3.0  (15)

When the imaging lens satisfies the conditional expression (15), the eighth 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 (15), 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 paraxial curvature radius of an object-side surface thereof and a paraxial curvature radius of an image plane-side surface thereof are both positive, so as to have a shape of a meniscus lens directing a convex surface thereof to an object side near the optical axis. When the eighth lens is formed to have such a shape, it is achievable to satisfactorily correct the spherical aberration, the field curvature and the distortion, while downsizing the imaging lens.
According to the imaging lens having the above-described configuration, the eighth lens is preferably formed in a shape so as to have the both surfaces thereof formed as aspheric shapes having inflection points. In addition, forming both the object-side and image plane-side surfaces as aspheric shapes having inflection points, 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 (16):

0.3<T8/T7<3.0  (16)

When the imaging lens satisfies the conditional expression (16), it is achievable to secure the back focal length, while downsizing the imaging lens.
The imaging lens having the above-described configuration preferably further satisfies the following conditional expression (16a):

0.4<T8/T7<2.0  (16a)

When the whole lens system has the focal length f and a distance on an 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 (17):

0.01<D89/f<0.20  (17)

When the size of the imaging lens is made smaller, a lens disposed closer to the image plane in the imaging lens tends to have a larger effective diameter. When a plurality of such lenses having large effective diameters is disposed, typically, interference occurs between 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 (17), it is achievable to secure the back focal length, while suitably securing a distance on the optical axis between the eighth lens and the ninth lens. When the imaging lens satisfies the conditional expression (17), it is also achievable to satisfactorily correct the field curvature, the astigmatism and the distortion in a well-balanced manner, while downsizing the imaging lens.
The imaging lens having the above-described configuration preferably further satisfies the following conditional expression (17a):

0.03<D89/f<0.15  (17a)

When the eighth lens has a focal length f8 and the ninth lens has a focal length f9, the imaging lens having the above-described configuration preferably satisfies the following conditional expression (18):

2<|f8/f9|<50  (18)

In addition, when the imaging lens satisfies the conditional expression (18), it is achievable to satisfactorily correct the spherical aberration and the distortion.
The imaging lens having the above-described configuration preferably further satisfies the following conditional expression (18a):

3<|f8/f9|<30  (18a)

When the whole lens system has a focal length f and a 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 (19):

−5.0<f89/f<−0.1  (19)

When the imaging lens satisfies the conditional expression (19), 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 within the range of CRA.
The imaging lens having the above-described configuration preferably further satisfies the following conditional expression (19a):

−3.5<f89/f<−0.3  (19a)

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 (20):

0.2<R9r/f<1.0  (20)

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 (20), it is achievable to secure the back focal length, while downsizing the imaging lens. When the imaging lens satisfies the conditional expression (20), it is also achievable to correct the astigmatism, the coma aberration and the distortion in a well-balanced manner.
According to a fifth aspect of the invention, when the whole lens system has the focal length f and the ninth lens has the focal length f9, the imaging lens having the above-described configuration preferably satisfies the following conditional expression (21):

−4.0<f9/f<−0.5  (21)

When the imaging lens satisfies the conditional expression (21), 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 within the range of CRA.
To satisfactorily correct the axial chromatic aberration, when the first lens has Abbe's number νd1, the second lens has Abbe's number νd2, and the third lens has Abbe's number νd3, the imaging lens having the above-described configuration preferably satisfies the following conditional expressions (22) through (24):

35<νd1<75  (22)

35<νd2<75  (23)

15<νd3<35  (24)

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 (25):

35<νd9<75  (25)

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 (26):

1.0<TL/f<1.4  (26)

When the imaging lens satisfies the conditional expression (26), it is achievable to suitably downsize the imaging lens.
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, while portable devices, etc. to mount an imaging lens are smaller, and an imaging element are larger than before. Especially in case of an imaging lens to be mounted in a thin portable device, 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 having the above-described configuration preferably satisfies the following conditional expression (27):

1.0<TL/Hmax<1.8  (27)

When the imaging lens satisfies the conditional expression (27), it is achievable to downsize the imaging lens.
According to the invention, the respective lenses from the first lens to the ninth lens are preferably arranged at 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 restrain the manufacturing cost of the imaging lens.
In addition, as a material to make the lenses, thermoplastic resin is preferably used. Since thermoplastic resin can be molded in a short amount of time, it is achievable to restrain manufacturing cost of the imaging lens via improvement of productivity. Here, the number of lenses to mold from the thermoplastic resin is preferably at least two.
According to the imaging lens of the invention, it is preferred to form both surfaces of each of the first through the ninth lenses as aspheric shapes. Forming the both surfaces of each lens as 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 as aspheric shapes having inflection points. In addition to the image plane-side surface of the ninth lens, when one or more lens surfaces are further formed as an aspheric shape 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 imaging lens having the above-described configuration, when the imaging lens has an angle of view 2ω, the imaging lens preferably satisfies the conditional expression, 65°≤2ω. When the imaging lens satisfies this conditional expression, it is possible to attain wider 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 (28):

f/Dep<2.4  (28)

Here, according to the present invention, as described above, the shapes of the lenses are specified using positive/negative signs of the paraxial curvature radii thereof. Whether the paraxial 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 paraxial curvature radius is on the image plane side when viewed from a lens surface, the paraxial curvature radius is positive. If a center of a paraxial curvature radius is on the object side, the paraxial curvature radius is negative. Therefore, “an object-side surface having a positive paraxial curvature radius” means the object-side surface has a convex shape. “An object-side surface having a negative paraxial curvature radius” means the object side surface has a concave shape. In addition, “an image plane-side surface having a positive paraxial curvature radius” means the image plane-side surface is a concave surface. “An image plane-side surface having a negative paraxial curvature radius” means the image plane side surface is a convex surface. Here, since a paraxial curvature radius is used herein to specify shapes of the lenses, it 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 is 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 spherical aberration, astigmatism, and a distortion of the imaging lens of FIG. 1;
FIG. 3 is an aberration diagram showing a lateral aberration of the imaging lens of FIG. 1;
FIG. 4 is 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 spherical aberration, astigmatism, and a distortion of the imaging lens of FIG. 4;
FIG. 6 is an aberration diagram showing a lateral aberration of the imaging lens of FIG. 4;
FIG. 7 is 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 spherical aberration, astigmatism, and a distortion of the imaging lens of FIG. 7;
FIG. 9 is an aberration diagram showing a lateral aberration of the imaging lens of FIG. 7;
FIG. 10 is 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 spherical aberration, astigmatism, and a distortion of the imaging lens of FIG. 10;
FIG. 12 is an aberration diagram showing a lateral aberration of the imaging lens of FIG. 10;
FIG. 13 is 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 spherical aberration, astigmatism, and a distortion of the imaging lens of FIG. 13;
FIG. 15 is an aberration diagram showing a lateral aberration of the imaging lens of FIG. 13;
FIG. 16 is 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 spherical aberration, astigmatism, and a distortion of the imaging lens of FIG. 16;
FIG. 18 is an aberration diagram showing a lateral aberration of the imaging lens of FIG. 16;
FIG. 19 is 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 spherical aberration, astigmatism, and a distortion of the imaging lens of FIG. 19;
FIG. 21 is an aberration diagram showing a lateral aberration of the imaging lens of FIG. 19;
FIG. 22 is 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 spherical aberration, astigmatism, and a distortion of the imaging lens of FIG. 22;
FIG. 24 is an aberration diagram showing a lateral aberration of the imaging lens of FIG. 22;
FIG. 25 is 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 spherical aberration, astigmatism, and a distortion of the imaging lens of FIG. 25;
FIG. 27 is an aberration diagram showing a lateral aberration of the imaging lens of FIG. 25;
FIG. 28 is 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 spherical aberration, astigmatism, and a distortion of the imaging lens of FIG. 28; and
FIG. 30 is an aberration diagram showing a lateral aberration of the imaging lens of FIG. 28.



DETAILED DESCRIPTION OF PREFERRED EMBODIMENTS
Hereunder, referring to the accompanying drawings, an embodiment of the present invention will be fully described.
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 and 28 are schematic sectional views of the imaging lenses in Numerical Data Examples 1 to 10 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 positive refractive power; a third lens L3 having negative refractive power; a fourth lens L4 having negative refractive power; a fifth lens L5; a sixth lens L6; a seventh lens L7; an eighth lens L8; and a ninth lens 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 paraxial curvature radius r1 of a surface thereof on the object-side and a paraxial 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. The first lens L1 can be formed in a shape such that the paraxial curvature radii r1 and r2 are both negative, or such that the paraxial curvature radius r1 is positive and the paraxial 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 paraxial 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 indicated 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 paraxial curvature radius r3 of a surface thereof on the object-side and a paraxial 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 Numerical Data Examples 7 through 10 are examples of shapes, in which the paraxial curvature radius r3 is positive and the paraxial curvature radius r4 is negative, so as to have a shape of a biconvex lens near the optical axis. Other than the shapes described above, the second lens L2 can be formed in a shape such that the curvature radii r3 and r4 are both negative and so as to have a shape of a meniscus lens directing a concave surface thereof to the object side near an optical axis. The second lens L2 can be formed in any shape as long as the refractive power thereof is positive.
The third lens L3 is formed in a shape such that a paraxial curvature radius r5 (=R3f) of a surface thereof on the object-side and a paraxial curvature radius r6 (=R3r) 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 third lens L3 can be formed in any shape as long as the refractive power thereof is negative. For example, the third lens L3 can be formed in a shape such that the paraxial curvature radius r5 is negative and the paraxial curvature radius r6 is positive, so as to have a shape of a biconcave lens near the optical axis. Alternatively, the third lens L3 can be formed in a shape such that the both paraxial curvature radii r5 and r6 are negative, so as to have a shape of a meniscus lens directing the concave surface thereof to the object side near the optical axis.
The fourth lens L4 is formed in a shape such that a paraxial curvature radius r7 of a surface thereof on the object-side and a paraxial curvature radius r8 of a surface thereof on the image plane side are both positive. The fourth lens L4 has a shape of a meniscus lens directing a convex surface thereof to the object side near the optical axis. The shape of the fourth lens L4 may not be limited to the one in Numerical Data Example 1. The fourth lens L4 can be formed in any shape as long as the refractive power thereof is negative. The fourth lens L4 can be formed in a shape such that the paraxial curvature radius r7 is negative and the paraxial curvature radius r8 is positive, so as to have a shape of a biconcave lens near the optical axis. Alternatively, the fourth lens L4 can be formed in a shape such that the paraxial curvature radii r7 and r8 are both negative and so as to have a shape of a meniscus lens directing a concave surface thereof to the object side near an 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 10 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 paraxial curvature radius r9 of a surface thereof on the object-side is positive and a paraxial curvature radius r10 of a surface thereof on the image plane side is negative. The fifth lens L5 has a shape of a biconvex lens near the optical axis. The shape of the fifth lens L5 may not be limited to the one in Numerical Data Example 1. Numerical Data Examples 4, 5 and 7 through 10 are examples of shapes, in which the paraxial 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. Other than the shape described above, the fifth lens L5 can be also formed in a shape such that the paraxial curvature radii r9 and r10 are both negative, so as to have a shape of a meniscus lens directing a concave surface thereof to the object side near the optical axis. Alternatively, the fifth lens L5 can be formed in a shape such that the paraxial curvature radius r9 is negative and the paraxial curvature radius r10 is positive, so as to have a shape of a biconcave lens 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 4 through 6 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 paraxial curvature radius r11 of a surface thereof on the object-side and a paraxial curvature radius r12 of a surface thereof on the image plane side are both negative. The sixth lens L6 has a shape of a meniscus lens directing a concave surface thereof to the object side near the optical axis. The shape of the sixth lens L6 may not be limited to the one in Numerical Data Example 1. For example, the sixth lens L6 can be formed in a shape such that the paraxial curvature radius r11 is positive and the paraxial curvature radius r12 is negative, so as to have a shape of a biconvex lens near the optical axis. Alternatively, the sixth lens L6 can be formed in a shape such that the both paraxial curvature radii r11 and r12 are positive, so as to have a shape of a meniscus lens directing the convex surface thereof to the object side near the optical axis. Furthermore, the sixth lens L6 can be formed in a shape such that the paraxial curvature radius r11 is negative and the paraxial curvature radius r12 is positive, so as to have a shape of a biconcave lens near the optical axis.
The seventh lens L7 has positive refractive power. The refractive power of the seventh lens L7 is not limited to positive refractive power. Numerical Data Examples 2, 3, 6, 9 and 10 are examples of lens configurations, in which the seventh lens L7 has negative refractive power.
The seventh lens L7 is formed in a shape, such that a paraxial curvature radius r13 of a surface thereof on the object-side and a paraxial curvature radius r14 of a surface thereof on the image plane side 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. In addition, according to the imaging lens of the embodiment, the seventh lens L7 is formed in a shape such that an object-side surface thereof directs a concave surface thereof to the object side at the periphery of the lens and has a shape such that an image plane-side surface thereof directs a convex surface thereof to the image plane side at the periphery of the lens. With such shape of the seventh lens L7, it is achievable 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, while satisfactorily correcting the chromatic aberration of magnification and the field curvature. Here, the shape of the seventh lens L7 may not be limited to the one in Numerical Data Example 1. The Numerical Data Examples 4, 5, 7 and 8 are examples of shapes, in which the paraxial curvature radius r13 is positive and the paraxial curvature radius r14 is negative, so as to have a shape of a biconvex lens near the optical axis. Other than the shapes described above, the seventh lens L7 can be formed in a shape such that the paraxial curvature radii r13 and r14 are both positive and so as to have a shape of a meniscus lens directing a convex surface thereof to the object side near an optical axis. Alternatively, the seventh lens L7 can be formed in a shape such that the paraxial curvature radius r13 is negative and the paraxial curvature radius r14 is positive, so as to have a shape of a biconcave lens near the optical axis.
The eighth lens L8 has negative refractive power. The refractive power of the eighth lens L8 is not limited to negative refractive power. Numerical Data Examples 2, 4, 6, 7 and 9 are examples of lens configurations, in which the eighth lens L8 has positive refractive power.
The eighth lens L8 is formed in a shape such that a paraxial curvature radius r15 (=R8f) of a surface thereof on the object-side and a paraxial curvature radius r16 (=R8r) of a surface thereof on the image plane side 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. In addition, according to the imaging lens of the invention, the eighth lens L8 is formed in a shape, such that an object-side surface thereof directs its concave surface to the object side at the periphery of the lens, and such that an image plane-side surface thereof directs its convex surface to the image plane side at the periphery of the lens. Both surfaces of the eighth lens L8 are formed as aspheric shapes having inflection points. Accordingly, the eighth lens L8 of the embodiment has a shape of a meniscus lens directing the convex surface thereof to the object side near the optical axis, and has a shape of a meniscus lens directing a concave surface thereof to the object side at the periphery of the lens. With such shape of the eighth lens L8, it is achievable 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, while satisfactorily correcting the chromatic aberration of magnification and the field curvature. 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 paraxial curvature radii r15 and r16 are both negative, so as to have a shape of a meniscus lens directing a concave surface thereof to the object side near an optical axis. Other than those shapes described above, the eighth lens L8 can be formed in a shape such that the paraxial curvature radius r15 is positive and the paraxial curvature radius r16 is negative, so as to have a shape of a biconvex lens near the optical axis. Alternatively, the eighth lens L8 can be formed in a shape such that the paraxial curvature radius r15 is negative and the paraxial curvature radius r16 is positive, so as to have a shape of a biconcave lens near the optical axis.
The ninth lens L9 is formed in a shape such that a paraxial curvature radius r17 of a surface thereof on the object-side and a paraxial curvature radius r18 (=R9r) of a surface thereof on the image plane side are both positive. The ninth lens L9 has a shape of a meniscus lens directing a convex surface thereof to the object side near the optical axis. The shape of the ninth lens L9 may not be limited to the one in Numerical Data Example 1. For example, the ninth lens L9 can be formed in a shape such that the paraxial curvature radius r17 is negative and the paraxial curvature radius r18 is positive, so as to have a shape of a biconcave lens near the optical axis. Alternatively, the ninth lens L9 can be formed in a shape such that the both paraxial curvature radii r17 and r18 are negative, so as to have a shape of a meniscus lens directing the concave surface thereof to the object side near the optical axis. The ninth lens L9 can be formed in any shape as long as the refractive power thereof is negative.
Furthermore, the image plane-side surface of the ninth lens L9 is formed as an aspheric shape having an inflection point. Here, the “inflection point” means a point where the positive/negative sign of a curvature radius 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, the both surfaces of the eighth lens L8 and the ninth lens L9 are formed as aspheric shapes having inflection points. Therefore, it is achievable to more satisfactorily correct the aberrations at the periphery of an image, while restraining an incident angle of a light beam emitted from the imaging lens to the image plane IM 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 aspheric shapes without inflection points or as spherical surfaces.
According to the embodiment, the imaging lens satisfied the following conditional expressions (1) through (28):

0<f123/f  (1)

0<f456/f  (2)

f789/f<0  (3)

4<f1/f<20  (4)

5<f1/f<15  (4a)

0.3<f2/f<1.2  (5)

0.5<f2/f<1.2  (5a)

5<f1/f2<20  (6)

7<f1/f2<18  (6a)

0.3<f12/f<2.0  (7)

0.5<f12/f<1.2  (7a)

−3.5<f3/f<−1.0  (8)

0.8<R3f/R3r<3.5  (9)

−5.0<f3/f2<−1.0  (10)

−3.0<f3/f2<−1.5  (10a)

4<f4/f3<20  (11)

6<f4/f3<15  (11a)

−3<f34/f<−1  (12)

−4.0<f34/f12<−0.5  (13)

−3.0<f34/f12<−1.0  (13a)

1.2<f5*f6/{f*(f5+f6)}<6.0  (14)

1.4<f5*f6/{f*(f5+f6)}<5.6  (14a)

0.2<R8f/R8r<3.0  (15)

0.3<T8/T7<3.0  (16)

0.4<T8/T7<2.0  (16a)

0.01<D89/f<0.20  (17)

0.03<D89/f<0.15  (17a)

2<|f8/f9|<50  (18)

3<|f8/f9|<30  (18a)

−5.0<f89/f<−0.1  (19)

−3.5<f89/f<−0.3  (19a)

0.2<R9r/f<1.0  (20)

−4.0<f9/f<−0.5  (21)

35<νd1<75  (22)

35<νd2<75  (23)

15<νd3<35  (24)

35<νd9<75  (25)

1.0<TL/f<1.4  (26)

1.0<TL/Hmax<1.8  (27)

f/Dep<2.4  (28)

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
f4: Focal length of the fourth lens L4
f5: Focal length of the fifth lens L5
f6: Focal length of the sixth lens L6
f8: Focal length of the eighth lens L8
f9: Focal length of the ninth lens L9
f12: Composite focal length of the first lens L1 and the second lens L2
f34: Composite focal length of the third lens L3 and the fourth lens L4.
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
νd3: Abbe's number of the third lens L3
νd9: Abbe's number of the ninth lens L9
R3f: Paraxial curvature radius of an object-side surface of the third lens L3
R3r: Paraxial curvature radius of an image plane-side surface of the third lens L3
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
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
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 = 5.69 mm Fno = 1.9 ω = 39.3°






















i
r
d
n d
ν d
[mm]







∞
∞

















L1
1
* (ST)
 2.388
0.554
1.5443
55.9
f1 = 51.100 



2
*
 2.399
0.076





L2
3
*
 2.511
0.601
1 5443
55.9
f2 = 4.650



4
*
294.151
0.030





L3
5
*
 8.344
0.250
1.6707
19.2
f3 = −9.465



6
*
 3.562
0.417





L4
7
*
 14.575
0.405
1.5443
55.9
f4 = −100.497



8
*
 11.396
0.028





L5
9
*
 11.354
0.321
1.5443
55.9
f5 = 16.295



10
*
−40.134
0.415





L6
11
*
 −4.680
0.251
1.5443
55.9
f6 = 100.651



12
*
 −4.393
0.036





L7
13
*
−24.707
0.695
1.5443
55.9
f7 = 48.322



14
*
−12.866
0.068





L8
15
*
 6.587
0.574
1.6707
19.2
f8 = −99.441



16
*
 5.785
0.355





L9
17
*
 4.035
0.840
1.5443
55.9
f9 = −9.262 



18
*
 2.077
0.350






19

∞
0.210
1.5168
64.2




20

∞
0.639





(1M)


∞











f12 = 4.614 mm


f34 = −8.530 mm


f89 = −8.616 mm 


f123 = 7.372 mm 


f456 = 16.838 mm 


f789 = −11.004 mm


D89 = 0.355 mm 


T7 = 0.695 mm 


T8 = 0.574 mm 


TL = 7.045 mm 


Hmax = 4.65 mm 


Dep = 2.992 mm
















TABLE 2





Aspherical surface data























i
k
A4
A6
A8
A10
A12
A14
A16





1
−8.580E−01  
−3.518E−04
  5.357E−03
−8.415E−03  
7 084E−03
−3.536E−03
8.294E−04
−7.908E−05


2
−2.513E+00  
−2.905E−02
−9.248E−03
−3.148E−04  
1.284E−03
−3.373E−04
6.355E−04
−1.993E−04


3
−3.290E−02  
−4.683E−02
−1.436E−02
2.375E−03
4.139E−04
  1.750E−03
−3.137E−04  
−4.230E−05


4
0.000E+00
  4.346E−03
−9.670E−03
8.995E−04
3.687E−03
−1.994E−03
3.224E−04
  8.024E−05


5
−3.969E+00  
  1.964E−03
  7.119E−03
−8.826E−03  
4.713E−03
−3.559E−03
1.754E−03
−2.778E−04


6
−1.779E+00  
−9.027E−04
  1.295E−02
−6.907E−03  
−2.148E−04  
  1.013E−03
2.033E−04 
−1.436E−04


7
8.670E+01
−1.873E−02
−1.602E−02
8.495E−03
−3.887E−03  
−1.424E−03
1.413E−03 
−3.398E−04


8
0.000E+00
−5.059E−02
−1.205E−02
7.001E−05
−2.769E−04  
  8.708E−04
−1.910E−04   
−2.040E−05


9
0.000E+00
−6.643E−02
  2.744E−03
1.071E−03
2.250E−03
−4.302E−04
7.610E−05 
−2.324E−05


10
0.000E+00
−4.256E−02
−1.161E−02
1.771E−02
−7.742E−03  
  1.982E−03
−2.444E−04  
  2.178E−05


11
0.000E+00
−5.454E−02
  3.482E−03
−4.833E−04  
2.001E−03
−3.671E−04
5.057E−05 
−4.572E−06


12
0.000E+00
−3.667E−02
−1.245E−02
1.872E−02
−7.842E−03  
  1.798E−03
−2.325E−04  
  1.822E−05


13
0.000E+00
  8.924E−03
−1.704E−02
6.582E−03
−2.247E−03  
  4.652E−04
−7.332E−05   
  3.394E−06


14
0.000E+00
  1.704E−04
−1.296E−02
1.963E−04
1.148E−03
−2.707E−04
2.135E−05 
−4.977E−07


15
0.000E+00
  2.915E−03
−2.315E−02
8.644E−03
−1.954E−03  
  2.827E−04
2.236E−05
  5.335E−07


16 
−1.588E+00  
−1.030E−02
−1.142E−02
4.320E−03
−8.310E−04  
  9.125E−05
−5.265E−08  
  1.133E−07


17
−2.617E+01  
−5.193E−02
−3.508E−03
3.717E−03
−6.159E−04  
  4.592E−05
−1.625E−08  
  2.185E−08


18
−5.799E+00  
−3.438E−02
  5 801E−03
−6.711E−01  
5.200E−05
−2.473E−06
6.272E−08 
−6.291E−10







The values of the respective conditional expressions are as follows: 


f123/f = 1.30 


f456/f = 2.96 


f789/f = −1.94 


f1/f = 8.99


f2/f = 0.82 


f1/f2 = 10.99 


f12/f = 0.81


f3/f = −1.66


R3f/R3r = 2.34 


f3/f2 = −2.04 


f4/f3 = 10.62 


f34/f = −1.50 


f34/f12 = −1.85 


f5*f6/(f*(f5 + f6)) = 2.47 


R8f/R8r = 1.14 


T8/T7 = 0.83


D89/f = 0.06 


|f8/f9| = 10.74 


f89/f = −1.52 


R9r/f = 0.37 


f9/f = −1.63 


TL/f = 1.24 


TL/Hmax = 1.51


f/Dep = 1.90









Accordingly, the imaging lens of Numerical Data Example 1 satisfies the above-described conditional expressions.
FIG. 2 shows a spherical aberration (mm), astigmatism (mm), and a distortion (%), respectively. The aberration diagrams of the astigmatism and the distortion show aberrations at the reference wavelength (588 nm). Furthermore, in the aberration diagrams of the astigmatism shows sagittal image planes (S) and tangential image planes (T), respectively (The same is true for FIGS. 5, 8, 11, 14, 17, 20, 23, 26 and 29). FIG. 3 shows a lateral aberration that corresponds to ratios H of the respective image heights 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. 6, 9, 12, 15, 18, 21, 24, 27 and 30). 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 = 5.71 mm Fno = 1.9 ω = 39.3°






















i
r
d
n d
ν d
[mm]







∞
∞

















L1
1
* (ST)
2.387
0.539
1.5443
55.9
f1 = 53.444 



2
*
2.394
0.075





L2
3
*
2.528
0.620
1.5443
55.9
f2 = 4.724 



4
*
138.158
0.030





L3
5
*
7.496
0.250
1.6701
19.2
f3 = −9.663 



6
*
3.427
0.434





L4
7
*
15.336
0.404
1.5443
55.9
f4 = −100.324 



8
*
11.862
0.027





L5
9
*
9.533
0.291
1.5443
55.9
f5 = 16.102 



10
*
−107.642
0.479





L6
11
*
−5.261
0.259
1.5443
55.9
f6 = 38.025 



12
*
−4.267
0.029





L7
13
*
−12.718
0.651
1.5443
55.9
f7 = −100.322 



14
* 
−16.879
0.036





18
15
*
5.313
0.570
1.6707
19.2
f8 = 101.288 



16
*
5.586
0.390





L9
17
*
4.245
0.820
1.5443
55.9
f9 = −8.863



18
*
2.104
0.350






19

∞
0.210
1.5168
64.2




20

∞
0.638





(1M)


∞











f12 = 4.689 mm


f34 = −8.686 mm 


f89 = −10.378 mm


f123 = 7.464 mm


f456 = 13.217 mm


f789 = −9.027 mm


D89 = 0.390 mm 


T7 = 0.651 mm


T8 = 0.570 mm


TL = 7.031 mm


Hmax = 4.67 mm


Dep = 3.020 mm
















TABLE 4





Aspherical surface data























i
k
A4
A6
A8
A10
A12
A14
A16





1
−8.887E−01  
−6.951E−04  
5.329E−03
−8.334E−03  
7.022E−03
−3.522E−03  
  8.384E−04
−8.126E−05


2
−2.373E+00  
−2.928E−02   
−9.253E−03  
−2.162E−04  
1.338E−03
−4.059E−04  
  6.240E−04 
−1.882E−04


3
1.933E−02
−4.535E−02  
−1.424E−02  
2.074E−03
3.532E−04
1.719E-03
−3.240E−04
−3.668E−05


4
0.000E+00
3.095E−03
−9.299E−03  
6.772E−04
3.730E−03
−1.970E−03  
  3.292E−04
  5.969E−05


5
−9.701E+00  
5.011E−04
7.437E−03
−8.139E−03  
4.748E−03
−3.612E−03  
  1.725E−03
−2.729E−04


6
−2.335E+00  
−1.206E−03  
1.405E−02
−6.842E−03  
−2.004E−04  
9.560E−04
  1.844E−04
−1.301E−04


7
9.260E+01
−1.582E−02  
−1.673E−02  
8.970E−03
−3.561E−03  
−1.537E−03  
  1.349E−03
−3.207E−04


8
0.000E+00
−5.259E−02  
−1.058E−02  
−3.889E−04  
−1.756E−04  
8.581E−04
−2.257E−04
−2.328E−05


9
0.000E+00
−6.943E−02  
2.272E−03
1.527E−03
2.115E−03
−5.153E−04  
  8.005E−05
−1.550E−05


10
0.000E+00
−3.951E−02  
−1.117E−02  
1.737E−02
−7.704E−03  
1.993E−03
−2.552E−04
  1.922E−05


11
0.000E+00
−5.153E−02  
3.420E−03
−4.022E−04  
1.813E−03
−4.306E−04  
  4.532E−05
  9.698E−10


12
0.000E+00
−3.008E−02  
−1.351E−02  
1.875E−02
−7.803E−03  
1.791E−03
−2.383E−04
  1.737E−05


13
0.000E+00
1.729E−02
−1.783E−02  
6.717E−03
−2.241E−03  
4.697E−04
−6.827E−05
  2.261E−06


14
0.000E+00
1.611E−02
−1.361E−02  
3.816E−04
1.124E−03
−2.721E−04  
  2.181E−05
−5.023E−07


15
0.000E+00
8.983E−04
−2.226E−02  
8.354E−03
−1.916E−03  
2.834E−04
−2.305E−05
  6.264E−07


16
1.255E−01
−8.237E−03  
−1.214E−02  
4.381E−03
−8.348E−04  
9.170E−05
−5.294E−06
  1.145E−07


17
−3.163E+01  
−5.040E−02  
−3.475E−03  
3.688E−03
−6.145E−04  
4.607E−05
−1.625E−06
  2.110E−08


18
−6.073E+00  
−3.431E−02  
5.714E−03
−6.526E−04  
5.089E−05
−2.468E−06  
  6.434E−08
−6.639E−10







The values of the respective conditional expressions are as follows: 


f123/f = 1.31 


f456/f = 2.32


f789/f = −1.58


f1/f = 9.36 


f2/f = 0.83 


f1/f2 = 11.31 


f12/f = 0.82


f3/f = −1.69


R3f/R3r = 2.19


f3/f2 = −2.04


f4/f3 = 10.39


f34/f = −1.52


f34/f12 = −1.85


f5*f6/(f* (f5 + f6)) = 1.98 


R8f/R8r = 0.96 


T8/T7 = 0.88


D89/f = 0.07


|f8/f9| = 11.43


f89/f = −1.82


R9r/f = 0.37 


f9/f = −1.55


TL/f = 1.23 


TL/Hmax = 1.51


f/Dep = 1.89









Accordingly, the imaging lens of Numerical Data Example 2 satisfies the above-described conditional expressions.
FIG. 5 shows a spherical aberration (mm), astigmatism (mm), and a distortion (%), and FIG. 6 shows a lateral aberration that corresponds to an image height H, 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 = 5.70 mm Fno = 1.9 ω =39.4°






















i
r
d
n d
ν d
[mm]







∞
∞

















L1
1
*(ST)
2.393
0.547
1.5443
55.9
f1 = 53.000



2
*
2.400
0.074





L2
3
*
2.506
0.603
1 5443
55.9
f2 = 4.651



4
*
229.755
0.030





L3
5
*
8.072
0.250
1.6707
19.2
f3 = −9.502



6
*
3.517
0.421





L4
7
*
15.611
0.395
1.5443
55.9
f4 = −100.326



8
*
12.032
0 026





L5
9
*
10.129
0.303
1.5443
55.9
f5 = 16.393



10
*
−74.124
0.439





L6
11
*
−5.185
0.295
1.5443
55.9
f6 = 27.386



12
*
−3.924
0.029





L7
13
*
−13.151
0.670
1.5443
55.9
f7 = −100.324



14
*
−17.644
0.083





L8
15
*
6.465
0.556
1.6707
19.2
f8 = −101.062



16
*
5.699
0.340





L9
17
*
3.848
0.845
1.5443
55.9
f9 = −9.777



18
*
2.060
0.350






19

∞
0.210
1.5168
64.2




20

∞
0.645





(1M)


∞











f12 = 4.624 mm


f34 = −8.566 mm


f89 = −9.056 mm


f123= 7.381 mm 


f456 = 11.868 mm


f789 = −7.997 mm


D89 = 0.340 mm 


T7 = 0.670 mm 


T8 = 0.556 mm


TL = 7.040 mm


Hmax = 4.69 mm


Dep = 2.969 mm
















TABLE 6





Aspherical surface data























i
k
A4
A6
A8
A10
A12
A14
A16





1
−8.618E−01  
−4.189E−04   
5.295E−03
−8.357E−03  
7.048E−03
−3.529E−03  
8.344E−04
−8.041E−05  


2
−2.414E+00  
−2.943E−02  
−9.252E−03  
−2.171E−04  
1.344E−03
−3.901E−04  
6.282E−04
−1.933E−04  


3
−1.570E−02  
−4.603E−02  
−1.437E−02  
2.224E−03
4.059E−04
1.738E−03
−3.201E−04  
−3.911E−05  


4
0.000E+00
3.951E−03
−9.421E−03  
8.008E−04
3.680E−03
−1.985E−03  
3.354E−04
6.987E−05


5
−7.574E+00  
8.357E−04
7.426E−03
−8.421E−03  
4.739E−03
−3.597E−03  
1.730E−03
−2.134E−04  


6
−2.1831+00  
−1.203E−03  
1.336E−02
−6.833E−03  
−1.870E−04  
9.795E−04
1.929E−04
−1.399E−04  


7
9.787E+01
−1.686E−02  
−1.655E−02  
8 455E−03
−3.661E−03  
−1.466E−03  
1.384E−03 
−3.286E−04  


8
0.000E+00
−5.158E−02  
−1.132E−02  
−8.163E−05  
−1.977E−04  
8.514E−04
−2.168E−04   
−1.763E−05  


9
0.000E+00
−6.807E−02  
2.766E−03
1.389E−03
2.187E−03
−4.852E−04  
8.161E−05
−2.000E−05  


10
0.000E+00
−4.083E−02  
−1.120E−02  
1.756E−02
−7.714E−03  
1.988E−03
−2.526E−04  
2.202E−05


11
0.000E+00
−5.426E−02  
3.656E−03
−3.013E−04  
1.922E−03
−3.981E−04  
4.379E−05 
−1.618E−06  


12 
0.000E+00
−3.164E−02  
−1.317E−02  
1.873E−02
−7.820E−03  
1.799E−03
−2.342E−04  
1.793E−05


13
0.000E+00
1.242E−02
−1.775E−02  
6.759E−03
−2.278E−03  
4.615E−04
−7.003E−05  
2.769E−06


14
0.0001+00
1.553E−02
−1.316E−02  
2.589E−04
1.138E−03
−2.714E−04  
2.172E−05
−5.082E−07  


15
0.000E+00
3.876E−03
−2.306E−02  
8.479E−03
−1.923E−03  
2.828E−04 
−2.309E−05  
6.085E−07


16
−1.390E+00  
−9.947E−03  
−1.167E−02  
4.357E−03
−8.337E−04  
9.137E−05 
−5.281E−06  
1.141E−07


17
−2.420E+01  
−5.139E−02  
−3.539E−03  
3.703E−03
−6.151E−04  
4.601E−05
−1.623E−06  
2.131E−08


18
−5.836E+00  
−3.417E−02  
5.736E−03
−6.590E−04  
5.109E−05
−2.463E−06  
6.423E−08
−6.701E−10  







The values of the respective conditional expressions are as follows: 


f123/f = 1.29 


f456/f = 2.08 


f789/f = −1.40 


f1/f = 9.30 


f2/f = 0.82 


f1/f2 = 11.40 


f12/f = 0.81 


f3/f = −1.67 


R3f/R3r = 2.30


f3/f2 = −2.04 


f4/f3 = 10.56 


f34/f = −1.50


f34/f12 = −1.85


f5*f6/(f* (f5 + f6)) = 1.80


R8f/R8r = 1.13


T8/T7 = 0.83 


D89/f = 0.06 


|f8/f9| = 10.34 


f89/f = −1.59 


R9r/f = 0.36 


f9/f = −1.71 


TL/f = 1.23


TL/Hmax = 1.50


f/Dep = 1.92









Accordingly, the imaging lens of Numerical Data Example 3 satisfies the above-described conditional expressions.
FIG. 8 shows a spherical aberration (mm), astigmatism (mm), and a distortion (%), and FIG. 9 shows a lateral aberration that corresponds to the image height H, 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 = 5.74 mm Fno = 1.9 ω = 39.3°






















i
r
d
n d
ν d
[mm]





















∞
∞


















L1
1
* (ST)
 2.402
0 516
1.5443
55.9
f1 = 66.258 



2
*
 2.378
0.074





L2
3
*
 2.520
0.653
1.5443
55.9
f2 = 4.804



4
*
 63.185
0.030





L3
5
*
 6.775
0.250
1.6707
19.2
f3 = −9.883



6
*
 3.301
0.452





L4
7
*
 15.404
0.415
1.5443
55.9
f4 = −100.320



8
*
 11.901
0.027





L5
9
*
 8.599
0.279
1.5443
55.9
f5 = 16.544



10
*
188.778
0.439





L6
11
*
 −6.334
0.250
1.5443
55.9
f6 = −59.084



12
*
 −7.997
0.036





L7
13
*
392.034
0.668
1.5443
55.9
f7 = 21.359 



14
*
 −11.974
0.078





L8
15
*
 4.802
0.537
1.6707
19.2
f8 = 101.360 



16
*
 4.935
0.453





L9
17
*
 5.775
0.844
1.5443
56.9
f9 = −7.904 



18
*
 2.339
0.350






19

∞
0.210
1.5168
64.2




20

∞
0.588





(1M)


∞











f12 = 4.824 mm


f34 = −8.872 mm 


f89 = −9.162 mm


f123 = 7.692 mm 


f456 = 30.186 mm 


f789 = −20.448 mm 


D89 = 0.453 mm 


T7 = 0.668 mm 


T8 = 0.537 mm


TL = 7.086 mm 


Hmax = 4.70 mm


Dep = 3.037 mm
















TABLE 8





Aspherical surface data























i 
k
A4
A6
A8
A10
A12
A14
A16





1
−9.012E−01 
−7.994E−04
 5.419E−03
−8.271E−03 
 6.971E−03
−3.507E−03
8.499E−04
−8.421E−05


2
−2.147E+00 
−2.861E−02
−9.334E−03
1.345E−04
 1.399E−03
−4.728E−04
6.082E-04
−1.760E−04


3
8.904E−02
−4.306E−02
−1.14E−02
1.832E−03
 2.302E−04
 1.697E−03
−3.328E−04 
−3.047E−05


4
0.000E+00
 2.292E−03
−8.723E03
6.868E−04
 3.654E−03
−1.973E−03
3.245E−04
 5.633E−05


5
−1.241E+01 
 5.310E−04
 7.789E−03
−7.753E−03 
 4.743E−03
−3.698E−03
1.707E−03
−2.556E−04


6
−2.497E+00 
−8.075E−04
 1.502E−02
−6.920E−03 
−2.357E−04
 8.834E−04
1.593E−04
−9.905E−05


7
9.245E+01
−1.700E−02
−1.655E−01
9.043E−03
−3.338E−03
−1.586E−03
1.319E−03
−3.019E−04


8
0.000E+00
−5.718E−02
−8.949E−03
−5.915E−04 
−5.804E−05
 8.364E−04
−2.487E−04 
−1.447E−05


9
0.000E+00
−7.128E−02
 2.415E−03
1.567E−03
 1.756E−03
−5.386E−04
8.943E−05
−8.170E−06


10
0.000E+00
−3.951E−02
−1.112E−02
1.708E−02
−7.620E−03 
 1.997E−03
−2.670E−04 
 1.648E−05


11
0.000E+00
−4.469E−02
 3.964E−03
−3.076E−04 
 1.748E−03
−5.094E−04
4.697E−05
 5.914E−07


12
0.000E+00
−3.232E−02
−1.410E−02
1.864E−02
−7.813E−03
 1.776E−03
−2.437E−04 
 1.777E−05


13
0.000E+00
 1.437E−02
−1.873E−02
7.210E−03
−2.245E−03
 4.654E−04
−6.771E−05 
 2.210E−06


14
0.000E+00
 2.501E−02
−1.397E−02
3.755E−04
 1.118E−03
−2.722E−04
2.208E−05 
−4.743E−07


15
0.000E+00
−6.329E−04
−2.159E−02 
−8.081E−03 
−1.884E−03
 2.842E−04
−2.338E−05 
 6.700E−07


16
−6.897E−01 
−9.017E−03
−1.229E−02
4.416E−03
−8.350E−04
 9.158E−05
−5.301E−06  
 1.156E−07


17
−5.188E+01 
−4.852E−02
−3.546E−03
3.675E−03
−6.144E−04
 4.620E−05
−1.623E−06 
 2.065E−08


18 
−5.901E+00 
−3.395E−02 
 5.670E−03
−6.476E−04 
 5.064E−05
−2.473E−06
6.487E−08
−6.571E−10







The values of the respective conditional expressions are as follows: 


f123/f = 1.34 


f456/f = 5.26 


f789/f = −3.56 


f1/f = 11.54 


f2/f = 0.84


f1/f2 = 13.79 


f12/f = 0.84


f3/f = −1.72


R3f/R3r = 2.05 


f3/f2 = −2.06 


f4/f3 = 10.15 


f34/f = −1.55 


f34/f12 = −1.84


f5*f6/(f* (f5 + f6)) = 4.00


R8f/R8r = 0.97 


T8/T7 = 0.80 


D89/f = 0.08


|f8/f9| = 12.82


f89/f = −1.60 


R9r/f = 0.41 


f9/f = −1.38


TL/f = 1.23


TL/Hmax = 1.51 


f/Dep = 1.89









Accordingly, the imaging lens of Numerical Data Example 4 satisfies the above-described conditional expressions.
FIG. 11 shows a spherical aberration (mm), astigmatism (mm), and a distortion (%), and FIG. 12 shows a lateral aberration that corresponds to the image height H, 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 = 5.74 mm Fno = 1.9 ω = 39.3°






















i
r
d
n d
ν d
[mm]







∞
∞





L1
 1*(ST)
2.413
0.511
1.5443
55.9
f1 = 66.664



 2*
2.392
0.073





L2
 3*
2.529
0.647
1.5443
55.9
f2 = 4.822



 4*
62.755
0.030





L3
 5*
6.905
0.250
1.6707
19.2
f3 = −9.888



 6*
3.334
0.463





L4
 7*
15.786
0.413
1.5443
55.9
f4 = −97.245



 8*
12.047
0.026





L5
 9*
8.530
0.280
1.5443
55.9
f5 = 16.448



10*
178.610
0.440





L6
11*
−6.131
0.269
1.5443
55.9
f6 = −100.343



12*
−7.013
0.029





L7
13*
79.830
0.677
1.5443
55.9
f7 = 17.402



14*
−10.715
0.138





L8
15*
5.526
0.510
1.6707
19.2
f8 = −102.687



16*
4.926
0.417





L9
17*
5.699
0.860
1.5443
55.9
f9 = −7.920



18*
2.324
0.350






19
∞
0.210
1.5168
64.2




20
∞
0.574





(1M)

∞











f12 = 4.838 mm


f34 = −8.852 mm


f89 = −7.513 mm


f123 = 7.742 mm


f456 = 25.174 mm


f789 = −17.057 mm


D89 = 0.417 mm


T7 = 0.677 mm


T8 = 0.510 mm


TL = 7.095 mm


Hmax = 4.70 mm


Dep = 3.037 mm
















TABLE 10





Aspherical surface data























i
k
A4
A6
A8
A10
A12
A14
A16





 1
−8.988E−01
−7.729E−04
5.368E−03
−8.221E−03
6.934E−03
−3.496E−03
8.518E−04
−8.515E−05


 2
−2.090E+00
−2.829E−02
−9.306E−03
−1.010E−04
1.410E−03
−4.909E−04
6.015E−04
−1.732E−04


 3
1.354E−01
−4.229E−02
−1.405E−02
1.741E−03
2.068E−04
1.691E−03
−3.345E−04
−2.892E−05


 4
0.000E+00
2.360E−03
−8.487E−03
6.017E−04
3.619E−03
−1.957E−03
3.270E−04
5.523E−05


 5
−1.353E+01
3.681E−04
7.828E−03
−7.549E−03
4.736E−03
−3.709E−03
1.690E−03
−2.501E−04


 6
−2.563E+00
−9.943E−04
1.494E−02
−6.730E−03
−2.333E−04
8.559E−04
1.531E−04
−9.568E−05


 7
9.718E+01
−1.700E−02
−1.662E−02
8.868E−03
−3.254E−03
−1.576E−03
1.300E−03
−2.969E−04


 8
0.000E+00
−5.768E−02
−8.566E−03
−5.521E−04
−3.817E−05
8.088E−04
−2.557E−04
−9.936E−06


 9
0.000E+00
−7.180E−02
2.453E−03
1.601E−03
1.739E−03
−5.335E−04
8.842E−05
−8.434E−06


10
0.000E+00
−3.978E−02
−1.140E−02
1.693E−02
−7.533E−03
1.997E−03
−2.676E−04
1.535E−05


11
0.000E+00
−4.411E−02
3.984E−03
−2.442E−04
1.740E−03
−5.124E−04
4.619E−05
6.440E−07


12
0.000E+00
−3.138E−02
−1.409E−02
1.856E−02
−7.785E−03
1.773E−03
−2.450E−04
1.802E−05


13
0.000E+00
1.268E−02
−1.889E−02
7.431E−03
−2.314E−03
4.679E−04
−6.541E−05
1.971E−06


14
0.000E+00
2.780E−02
−1.448E−02
3.713E−04
1.117E−03
−2.713E−04
2.218E−05
−4.874E−07


15
0.000E+00
1.549E−03
−2.174E−02
8.001E−03
−1.870E−03
2.841E−04
−2.345E−05
6.762E−07


16
−1.634E+00
−1.006E−02
−1.215E−02
4.417E−03
−8.364E−04
9.185E−05
−5.315E−06
1.151E−07


17
−4.909E+01
−4.833E−02
−3.564E−03
3.664E−03
−6.138E−04
4.624E−05
−1.625E−06
2.058E−08


18
−5.837E+00
−3.330E−02
5.644E−03
−6.459E−04
5.035E−05
−2.467E−06
6.532E−08
−6.706E−10







The values of the respective conditional expressions are as follows:


f123/f = 1.35


f456/f = 4.39


f789/f = −2.97


f1/f = 11.62


f2/f = 0.84


f1/f2 = 13.82


f12/f = 0.84


f3/f = −1.72


R3f/R3r = 2.07


f3/f2 = −2.05


f4/f3 = 9.83


f34/f = −1.54


f34/f12 = −1.83


f5*f6/(f*(f5 + f6)) = 3.43


R8f/R8r = 1.12


T8/T7 = 0.75


D89/f = 0.07


|f8/f9| = 12.97


f89/f = −1.31


R9r/f = 0.40


f9/f = −1.38


TL/f = 1.24


TL/Hmax = 1.51


f/Dep = 1.89









Accordingly, the imaging lens of Numerical Data Example 5 satisfies the above-described conditional expressions.
FIG. 14 shows a spherical aberration (mm), astigmatism (mm), and a distortion (%), and FIG. 15 shows a lateral aberration that corresponds to the image height H, 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 = 5.76 mm Fno = 2.0 ω = 38.9°






















i
r
d
n d
ν d
[mm]







∞
∞





L1
 1*(ST)
2.368
0.554
1.5443
55.9
f1 = 48.109



 2*
2.389
0.078





L2
 3*
2.530
0.619
1.5443
55.9
f2 = 4.711



 4*
172.959
0.030





L3
 5*
7.230
0.250
1.6707
19.2
f3 = −9.648



 6*
3.367
0.423





L4
 7*
15.244
0.414
1.5443
55.9
f4 = −100.326



 8*
11.803
0.022





L5
 9*
10.373
0.301
1.5443
55.9
f5 = 14.119



10*
−29.351
0.500





L6
11*
−4.248
0.257
1.5443
55.9
f6 = −100.518



12*
−4.704
0.029





L7
13*
−18.704
0.565
1.5443
55.9
f7 = −100.347



14*
−28.748
0.030





L8
15*
5.255
0.634
1.6707
19.2
f8 = 64.260



16*
5.694
0.334





L9
17*
3.976
0.901
1.5443
55.9
f9 = −11.065



18*
2.204
0.350






19
∞
0.210
1.5168
64.2




20
∞
0.640





(1M)

∞











f12 = 4.646 mm


f34 = −8.681 mm


f89 = −14.768 mm


f123 = 7.330 mm


f456 = 20.161 mm


f789 = −12.343 mm


D89 = 0.334 mm


T7 = 0.565 mm


T8 = 0.634 mm


TL = 7.069 mm


Hmax = 4.65 mm


Dep = 2.881 mm
















TABLE 12





Aspherical surface data























i
k
A4
A6
A8
A10
A12
A14
A16





 1
−8.817E−01
−6.242E−04
5.330E−03
−8.344E−03
7.019E−03
−3.521E−03
8.395E−04
−8.098E−05


 2
−2.342E+00
−2.922E−02
−9.312E−03
−2.478E−04
1.329E−03
−4.069E−04
6.253E−04
−1.864E−04


 3
1.945E−02
−4.534E−02
−1.423E−02
2.064E−03
3.453E−04
1.716E−03
−3.240E−04
−3.607E−05


 4
0.000E+00
3.043E−03
−9.279E−03
6.827E−04
3.727E−03
−1.976E−03
3.263E−04
5.929E−05


 5
−1.028E+01
4.109E−04
7.465E−03
−8.108E−03
4.757E−03
−3.610E−03
1.726E−03
−2.714E−04


 6
−2.430E+00
−1.398E−03
1.406E−02
−6.806E−03
−1.639E−04
9.743E−04
1.910E−04
−1.275E−04


 7
9.525E+01
−1.510E−02
−1.658E−02
9.071E−03
−3.547E−03
−1.543E−03
1.346E−03
−3.182E−04


 8
0.000E+00
−5.359E−02
−1.045E−02
−3.971E−04
−1.654E−04
8.658E−04
−2.243E−04
−2.451E−05


 9
0.000E+00
−6.935E−02
2.170E−03
1.516E−03
2.105E−03
−5.185E−04
8.028E−05
−1.421E−05


10
0.000E+00
−3.895E−02
−1.111E−02
1.739E−02
−7.687E−03
1.999E−03
−2.540E−04
1.913E−05


11
0.000E+00
−5.083E−02
3.567E−03
−3.662E−04
1.816E−03
−4.298E−04
4.629E−05
6.880E−07


12
0.000E+00
−3.102E−02
−1.361E−02
1.873E−02
−7.808E−03
1.790E−03
−2.391E−04
1.714E−05


13
0.000E+00
1.671E−02
−1.836E−02
6.760E−03
−2.218E−03
4.726E−04
−6.870E−05
1.956E−06


14
0.000E+00
1.292E−02
−1.315E−02
3.837E−04
1.122E−03
−2.728E−04
2.170E−05
−5.212E−07


15
0.000E+00
−6.657E−04
−2.246E−02
8.342E−03
−1.914E−03
2.836E−04
−2.311E−05
5.997E−07


16
−2.192E+02
−8.277E−03
−1.217E−02
4.378E−03
−8.351E−04
9.170E−05
−5.289E−06
1.152E−07


17
−1.912E+01
−5.111E−02
−3.532E−03
3.686E−03
−6.144E−04
4.608E−05
−1.625E−06
2.101E−08


18
−5.373E+00
−3.492E−02
5.734E−03
−6.524E−04
5.083E−05
−2.471E−06
6.423E−08
−6.607E−10







The values of the respective conditional expressions are as follows:


f123/f = 1.27


f456/f = 3.50


f789/f = −2.14


f1/f = 8.35


f2/f = 0.82


f1/f2 = 10.21


f12/f = 0.81


f3/f = −1.67


R3f/R3r = 2.15


f3/f2 = −2.05


f4/f3 = 10.40


f34/f = −1.51


f34/f12 = −1.87


f5*f6/(f*(f5 + f6)) = 2.85


R8f/R8r = 0.92


T8/T7 = 1.12


D89/f = 0.06


|f8/f9| = 5.81


f89/f = −2.56


R9r/f = 0.38


f9/f = −1.92


TL/f = 1.23


TL/Hmax = 1.52


f/Dep = 2.00









Accordingly, the imaging lens of Numerical Data Example 6 satisfies the above-described conditional expressions.
FIG. 17 shows a spherical aberration (mm), astigmatism (mm) and a distortion (%), and FIG. 18 shows a lateral aberration that corresponds to the image height H, 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 = 5.54 mm Fno = 1.9 ω = 39.1°






















i
r
d
n d
ν d
[mm]







∞
∞





L1
 1*(ST)
2.471
0.531
1.5443
55.9
f1 = 72.383



 2*
2.437
0.071





L2
 3*
2.518
0.617
1.5443
55.9
f2 = 4.573



 4*
−201.144
0.030





L3
 5*
7.811
0.250
1.6707
19.2
f3 = −9.385



 6*
3.441
0.467





L4
 7*
21.170
0.364
1.5443
55.9
f4 = −96.621



 8*
15.003
0.056





L5
 9*
29.389
0.409
1.5443
55.9
f5 = −94.446



10*
18.607
0.205





L6
11*
−13.419
0.306
1.5443
55.9
f6 = 21.214



12*
−6.256
0.048





L7
13*
1578.862
0.532
1.5443
55.9
f7 = 19.697



14*
−10.793
0.236





L8
15*
4.631
0.449
1.6707
19.2
f8 = 101.528



16*
4.775
0.387





L9
17*
4.181
0.981
1.5443
55.9
f9 = −9.965



18*
2.166
0.350






19
∞
0.210
1.5168
64.2




20
∞
0.702





(1M)

∞











f12 = 4.636 mm


f34 = −8.461 mm


f89 = −11.815 mm


f123 = 7.497 mm


f456 = 37.901 mm


f789 = −52.326 mm


D89 = 0.387 mm


T7 = 0.532 mm


T8 = 0.449 mm


TL = 7.128 mm


Hmax = 4.50 mm


Dep = 2.914 mm
















TABLE 14





Aspherical surface data























i
k
A4
A6
A8
A10
A12
A14
A16





 1
−7.418E−01
6.963E−04
5.293E−03
−7.942E−03
6.889E−03
−3.466E−03
8.377E−04
−8.642E−05


 2
−2.450E+00
−2.889E−02
−8.379E−03
4.542E−05
1.236E−03
−3.937E−04
6.135E−04
−1.806E−04


 3
−2.690E−02
−4.556E−02
−1.392E−02
2.233E−03
4.614E−04
1.815E−03
−3.249E−04
−2.937E−05


 4
0.000E+00
4.538E−03
−8.326E−03
1.217E−03
3.783E−03
−2.064E−03
3.860E−04
5.605E−05


 5
−1.532E+01
2.754E−04
6.856E−03
−8.328E−03
4.641E−03
−3.729E−03
1.737E−03
−2.930E−04


 6
−1.903E+00
−1.648E−03
1.176E−02
−7.317E−03
−9.970E−06
7.541E−04
2.260E−04
−1.650E−04


 7
1.295E+02
−2.022E−02
−1.586E−02
9.078E−03
−3.791E−03
−1.433E−03
1.354E−03
−3.227E−04


 8
0.000E+00
−4.709E−02
−1.259E−02
1.553E−06
2.229E−04
7.393E−04
−1.781E−04
−1.093E−05


 9
0.000E+00
−6.289E−02
2.449E−03
9.455E−04
2.136E−03
−4.668E−04
6.957E−05
−2.608E−05


10
0.000E+00
−4.838E−02
−1.222E−02
1.664E−02
−7.757E−03
1.979E−03
−2.557E−04
1.656E−05


11
0.000E+00
−5.086E−02
2.770E−03
−4.523E−04
1.859E−03
−4.672E−04
5.513E−05
−2.489E−06


12
0.000E+00
−3.423E−02
−1.134E−02
1.832E−02
−7.727E−03
1.775E−03
−2.401E−04
1.812E−05


13
0.000E+00
1.718E−02
−1.921E−02
7.921E−03
−2.452E−03
4.826E−04
−6.310E−05
2.320E−06


14
0.000E+00
2.101E−02
−1.302E−02
3.754E−04
1.125E−03
−2.792E−04
2.231E−05
−4.127E−07


15
0.000E+00
3.190E−03
−2.184E−02
7.977E−03
−1.855E−03
2.748E−04
−2.218E−05
6.684E−07


16
−6.934E−01
−9.917E−03
−1.222E−02
4.382E−03
−8.289E−04
9.128E−05
−5.331E−06
1.197E−07


17
−2.161E+01
−5.232E−02
−3.100E−03
3.664E−03
−6.162E−04
4.657E−05
−1.649E−06
2.099E−08


18
−4.577E+00
−3.304E−02
5.539E−03
−6.445E−04
5.038E−05
−2.448E−06
6.408E−08
−6.651E−10







The values of the respective conditional expressions are as follows:


f123/f = 1.35


f456/f = 6.84


f789/f = −9.45


f1/f = 13.07


f2/f = 0.83


f1/f2 = 15.83


f12/f = 0.84


f3/f = −1.69


R3f/R3r = 2.27


f3/f2 = −2.05


f4/f3 = 10.30


f34/f = −1.53


f34/f12 = −1.82


f5*f6/(f*(f5 + f6)) = 4.94


R8f/R8r = 0.97


T8/T7 = 0.84


D89/f = 0.07


|f8/f9| = 10.19


f89/f = −2.13


R9r/f = 0.39


f9/f = −1.80


TL/f = 1.29


TL/Hmax = 1.58


f/Dep = 1.90









Accordingly, the imaging lens of Numerical Data Example 7 satisfies the above-described conditional expressions.
FIG. 20 shows a spherical aberration (mm), astigmatism (mm), and a distortion (%), and FIG. 21 shows a lateral aberration that corresponds to the image height H, 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 = 5.72 mm Fno = 1.9 ω = 39.5°






















i
r
d
n d
ν d
[mm]







∞
∞





L1
 1*(ST)
2.466
0.533
1.5443
55.9
f1 = 67.022



 2*
2.443
0.072





L2
 3*
2.511
0.619
1.5443
55.9
f2 = 4.558



 4*
−189.939
0.030





L3
 5*
7.760
0.250
1.6707
19.2
f3 = −9.511



 6*
3.456
0.468





L4
 7*
20.880
0.365
1.5443
55.9
f4 = −100.383



 8*
15.014
0.056





L5
 9*
28.658
0.413
1.5443
55.9
f5 = −100.382



10*
18.703
0.208





L6
11*
−13.558
0.307
1.5443
55.9
f6 = 20.698



12*
−6.202
0.048





L7
13*
1021.460
0.532
1.5443
55.9
f7 = 19.378



14*
−10.655
0.239





L8
15*
5.249
0.423
1.6707
19.2
f8 = −100.688



16*
4.713
0.391





L9
17*
4.156
0.987
1.5443
55.9
f9 = −10.086



18*
2.167
0.350






19
∞
0.210
1.5168
64.2




20
∞
0.735





(1M)

∞











f12 = 4.601 mm


f34 = −8.594 mm


f89 = −9.272 mm


f123 = 7.332 mm


f456 = 35.049 mm


f789 = −24.335 mm


D89 = 0.391 mm


T7 = 0.532 mm


T8 = 0.423 mm


TL = 7.164 mm


Hmax = 4.71 mm


Dep = 3.011 mm
















TABLE 16





Aspherical surface data























i
k
A4
A6
A8
A10
A12
A14
A16





 1
−8.414E−01
−1.407E−04
5.132E−03
−8.060E−03
6.846E−03
−3.475E−03
8.393E−04
−8.387E−05


 2
−2.468E+00
−2.931E−02
−8.856E−03
−7.704E−06
1.252E−03
−3.896E−04
6.083E−04
−1.857E−04


 3
−4.268E−02
−4.587E−02
−1.374E−02
2.129E−03
3.459E−04
1.760E−03
−3.426E−04
−2.996E−05


 4
0.000E+00
2.253E−03
−8.979E−03
8.862E−04
3.663E−03
−2.068E−03
4.010E−04
4.918E−05


 5
−1.134E+01
8.668E−04
6.867E−03
−8.134E−03
4.785E−03
−3.686E−03
1.746E−03
−2.766E−04


 6
−1.784E+00
−1.220E−03
1.254E−02
−7.046E−03
2.514E−05
7.466E−04
2.377E−04
−1.359E−04


 7
1.277E+02
−1.981E−02
−1.630E−02
8.683E−03
−3.888E−03
−1.421E−03
1.382E−03
−2.996E−04


 8
0.000E+00
−4.741E−02
−1.291E−02
1.093E−05
2.606E−04
7.518E−04
−1.786E−04
−1.369E−05


 9
0.000E+00
−6.336E−02
2.449E−03
9.074E−04
2.122E−03
−4.690E−04
6.983E−05
−2.573E−05


10
0.000E+00
−4.792E−02
−1.224E−02
1.666E−02
−7.745E−03
1.982E−03
−2.552E−04
1.660E−05


11
0.000E+00
−5.105E−02
2.813E−03
−4.393E−04
1.862E−03
−4.666E−04
5.530E−05
−2.443E−06


12
0.000E+00
−3.398E−02
−1.134E−02
1.832E−02
−7.726E−03
1.776E−03
−2.400E−04
1.815E−05


13
0.000E+00
1.575E−02
−1.928E−02
7.931E−03
−2.457E−03
4.840E−04
−6.294E−05
2.285E−06


14
0.000E+00
2.140E−02
−1.295E−02
3.854E−04
1.125E−03
−2.791E−04
2.233E−05
−4.112E−07


15
0.000E+00
3.612E−03
−2.183E−02
7.978E−03
−1.855E−03
2.749E−04
−2.217E−05
6.678E−07


16
−8.316E−01
−1.011E−02
−1.222E−02
4.382E−03
−8.290E−04
9.128E−05
−5.330E−06
1.201E−07


17
−2.249E+01
−5.238E−02
−3.107E−03
3.663E−03
−6.163E−04
4.657E−05
−1.649E−06
2.110E−08


18
−5.182E+00
−3.320E−02
5.539E−03
−6.437E−04
5.041E−05
−2.448E−06
6.410E−08
−6.654E−10







The values of the respective conditional expressions are as follows:


f123/f = 1.28


f456/f = 6.13


f789/f = −4.25


f1/f = 11.71


f2/f = 0.80


f1/f2 = 14.70


f12/f = 0.80


f3/f = −1.66


R3f/R3r = 2.25


f3/f2 = −2.09


f4/f3 = 10.55


f34/f = −1.50


f34/f12 = −1.87


f5*f6/(f*(f5 + f6)) = 4.56


R8f/R8r = 1.11


T8/T7 = 0.80


D89/f = 0.07


|f8/f9| = 9.98


f89/f = −1.62


R9r/f = 0.38


f9/f = −1.76


TL/f = 1.25


TL/Hmax = 1.52


f/Dep = 1.90









Accordingly, the imaging lens of Numerical Data Example 8 satisfies the above-described conditional expressions.
FIG. 23 shows a spherical aberration (mm), astigmatism (mm), and a distortion (%), and FIG. 24 shows a lateral aberration that corresponds to the image height H, 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 = 6.27 mm Fno = 2.1 ω = 35.7°






















i
r
d
n d
ν d
[mm]







∞
∞





L1
 1*(ST)
2.446
0.550
1.5443
55.9
f1 = 55.694



 2*
2.450
0.069





L2
 3*
2.504
0.641
1.5443
55.9
f2 = 4.549



 4*
−202.701
0.035





L3
 5*
7.346
0.247
1.6707
19.2
f3 = −9.764



 6*
3.416
0.500





L4
 7*
20.828
0.354
1.5443
55.9
f4 = −94.430



 8*
14.733
0.060





L5
 9*
29.485
0.425
1.5443
55.9
f5 = −101.483



10*
19.126
0.213





L6
11*
−14.973
0.293
1.5443
55.9
f6 = 18.630



12*
−6.087
0.044





L7
13*
−15.669
0.519
1.5443
55.9
f7 = −109.290



14*
−21.521
0.231





L8
15*
4.538
0.463
1.6707
19.2
f8 = 77.596



16*
4.768
0.413





L9
17*
4.100
0.994
1.5443
55.9
f9 = −10.696



18*
2.200
0.350






19
∞
0.210
1.5168
64.2




20
∞
0.859





(1M)

∞











f12 = 4.544 mm


f34 = −8.751 mm


f89 = −13.472 mm


f123 = 7.025 mm


f456 = 29.957 mm


f789 = −11.511 mm


D89 = 0.413 mm


T7 = 0.519 mm


T8 = 0.463 mm


TL = 7.397 mm


Hmax = 4.51 mm


Dep = 2.987 mm
















TABLE 18





Aspherical surface data























i
k
A4
A6
A8
A10
A12
A14
A16





 1
−8.149E−01
3.818E−04
4.117E−03
−7.573E−03
6.882E−03
−3.537E−03
8.210E−04
−7.362E−05


 2
−2.756E+00
−3.057E−02
−9.231E−03
−2.911E−04
1.290E−03
−3.617E−04
6.122E−04
−1.687E−04


 3
−2.272E−01
−4.826E−02
−1.488E−02
2.002E−03
3.445E−04
1.818E−03
−3.334E−04
−2.545E−05


 4
0.000E+00
−4.128E−04
−9.699E−03
5.904E−04
3.675E−03
−1.988E−03
4.036E−04
1.212E−05


 5
−1.055E+00
2.236E−03
6.977E−03
−8.360E−03
4.561E−03
−3.747E−03
1.713E−03
−2.507E−04


 6
−7.761E−01
1.759E−03
1.334E−02
−7.436E−03
−2.190E−04
5.626E−04
6.450E−05
−5.177E−05


 7
0.000E+00
−1.860E−02
−1.703E−02
9.110E−03
−3.921E−03
−1.396E−03
1.428E−03
−3.294E−04


 8
0.000E+00
−5.207E−02
−1.197E−02
−2.935E−05
9.569E−04
9.725E−04
−1.971E−04
−5.198E−05


 9
0.000E+00
−5.993E−02
3.454E−03
1.788E−03
2.240E−03
−5.125E−04
4.245E−05
−6.162E−05


10
0.000E+00
−4.720E−02
−1.167E−02
1.614E−02
−7.805E−03
1.980E−03
−2.577E−04
1.527E−05


11
0.000E+00
−5.921E−02
1.122E−03
−1.486E−05
2.112E−03
−4.371E−04
5.577E−05
−4.949E−06


12
0.000E+00
−2.968E−02
−9.784E−03
1.762E−02
−7.858E−03
1.772E−03
−2.335E−04
2.005E−05


13
0.000E+00
1.906E−02
−2.146E−02
8.498E−03
−2.485E−03
4.482E−04
−7.055E−05
2.039E−06


14
0.000E+00
6.705E−04
−1.054E−02
6.845E−04
1.131E−03
−2.791E−04
2.188E−05
−4.447E−07


15
0.000E+00
−1.126E−02
−2.052E−02
7.748E−03
−1.844E−03
2.798E−04
−2.187E−05
6.623E−07


16
−3.396E+00
−1.632E−02
−1.187E−02
4.440E−03
−8.388E−04
9.057E−05
−5.208E−06
1.533E−07


17
−4.214E+01
−5.567E−02
−2.716E−03
3.654E−03
−6.151E−04
4.683E−05
−1.635E−06
1.736E−08


18
−7.660E+00
−3.270E−02
5.384E−03
−6.203E−04
4.935E−05
−2.494E−06
6.540E−08
−5.812E−10







The values of the respective conditional expressions are as follows:


f123/f = 1.12


f456/f = 4.78


f789/f = −1.84


f1/f = 8.88


f2/f = 0.73


f1/f2 = 12.24


f12/f = 0.72


f3/f = −1.56


R3f/R3r = 2.15


f3/f2 = −2.15


f4/f3 = 9.67


f34/f = −1.40


f34/f12 = −1.93


f5*f6/(f*(f5 + f6)) = 3.64


R8f/R8r = 0.95


T8/T7 = 0.89


D89/f = 0.07


|f8/f9| = 7.25


f89/f = −2.15


R9r/f = 0.35


f9/f = −1.71


TL/f = 1.18


TL/Hmax = 1.64


f/Dep = 2.10









Accordingly, the imaging lens of Numerical Data Example 9 satisfies the above-described conditional expressions.
FIG. 26 shows a spherical aberration (mm), astigmatism (mm), and a distortion (%), and FIG. 27 shows a lateral aberration that corresponds to the image height H, 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 = 6.21 mm Fno = 2.1 ω = 35.9°






















i
r
d
n d
ν d
[mm]







∞
∞





L1
 1*(ST)
2.427
0.548
1.5443
55.9
f1 = 45.942



 2*
2.474
0.064





L2
 3*
2.476
0.641
1.5443
55.9
f2 = 4.501



 4*
−215.478
0.035





L3
 5*
7.287
0.251
1.6707
19.2
f3 = −9.997



 6*
3.444
0.500





L4
 7*
20.751
0.349
1.5443
55.9
f4 = −99.249



 8*
14.903
0.060





L5
 9*
29.748
0.428
1.5443
55.9
f5 = −100.413



10*
19.165
0.212





L6
11*
−15.066
0.277
1.5443
55.9
f6 = 17.372



12*
−5.847
0.042





L7
13*
−15.434
0.489
1.5443
55.9
f7 = −100.990



14*
−21.700
0.231





L8
15*
4.750
0.460
1.6707
19.2
f8 = −103.333



16*
4.272
0.413





L9
17*
4.148
0.986
1.5443
55.9
f9 = −10.495



18*
2.202
0.350






19
∞
0.210
1.5168
64.2




20
∞
0.740





(1M)

∞











f12 = 4.426 mm


f34 = −8.985 mm


f89 = −9.694 mm


f123 = 6.636 mm


f456 = 26.563 mm


f789 = −8.534 mm


D89 = 0.413 mm


T7 = 0.489 mm


T8 = 0.461 mm


TL = 7.215 mm


Hmax = 4.50 mm


Dep = 2.958 mm
















TABLE 20





Aspherical surface data























i
k
A4
A6
A8
A10
A12
A14
A16





 1
−1.018E+00
−4.268E−04
5.148E−03
−7.741E−03
6.436E−03
−3.489E−03
9.056E−04
−9.412E−05


 2
−3.114E+00
−3.402E−02
−9.737E−03
6.019E−04
1.385E−03
−3.609E−04
6.127E−04
−1.733E−04


 3
−4.823E−01
−5.021E−02
−1.596E−02
2.782E−03
3.658E−04
1.875E−03
−3.165E−04
−3.939E−05


 4
0.000E+00
−9.654E−03
−9.466E−03
6.526E−04
4.026E−03
−1.916E−03
2.964E−04
2.642E−05


 5
−6.591E+00
−7.958E−05
6.189E−03
−6.764E−03
4.756E−03
−3.713E−03
1.846E−03
−3.495E−04


 6
−1.226E+00
5.632E−03
1.345E−02
−1.072E−02
2.333E−03
6.445E−04
−2.637E−04
1.310E−05


 7
0.000E+00
−1.881E−02
−2.588E−02
1.071E−02
−2.878E−03
−1.266E−03
1.476E−03
−3.696E−04


 8
0.000E+00
−4.157E−02
−2.047E−02
−1.631E−03
3.638E−03
1.125E−03
−1.044E−03
5.770E−05


 9
0.000E+00
−4.886E−02
3.293E−03
1.483E−03
1.325E−03
−7.437E−04
−5.877E−06
−8.715E−05


10
0.000E+00
−5.838E−02
−8.703E−03
1.630E−02
−7.844E−03
1.967E−03
−2.399E−04
2.451E−05


11
0.000E+00
−6.429E−02
1.307E−03
1.479E−03
2.153E−03
−4.721E−04
4.844E−05
−1.033E−05


12
0.000E+00
−1.237E−02
−7.861E−03
1.640E−02
−7.614E−03
1.785E−03
−2.699E−04
1.904E−05


13
0.000E+00
3.227E−02
−2.744E−02
9.642E−03
−2.337E−03
4.394E−04
−7.584E−05
3.333E−06


14
0.000E+00
6.303E−03
−1.473E−02
1.789E−03
1.050E−03
−2.797E−04
2.159E−05
−3.684E−07


15
0.000E+00
−1.772E−02
−1.873E−02
7.862E−03
−1.900E−03
2.795E−04
−2.167E−05
6.104E−07


16
−1.506E+01
−1.659E−02
−1.080E−02
4.461E−03
−8.729E−04
9.316E−05
−5.393E−06
1.608E−07


17
−5.084E+01
−6.395E−02
−9.279E−04
3.468E−03
−6.145E−04
4.849E−05
−1.712E−06
1.064E−08


18
−9.014E+00
−3.262E−02
5.455E−03
−6.296E−04
4.663E−05
−2.237E−06
7.453E−08
−1.795E−09







The values of the respective conditional expressions are as follows:


f123/f = 1.07


f456/f = 4.28


f789/f = −1.37


f1/f = 7.39


f2/f = 0.72


f1/f2 = 10.21


f12/f = 0.71


f3/f = −1.61


R3f/R3r = 2.12


f3/f2 = −2.22


f4/f3 = 9.93


f34/f = −1.45


f34/f12 = −2.03


f5*f6/(f*(f5 + f6)) = 3.38


R8f/R8r = 1.11


T8/T7 = 0.94


D89/f = 0.07


|f8/f9| = 9.85


f89/f = −1.56


R9r/f = 0.35


f9/f = −1.69


TL/f = 1.16


TL/Hmax = 1.60


f/Dep = 2.10









Accordingly, the imaging lens of Numerical Data Example 10 satisfies the above-described conditional expressions.
FIG. 29 shows a spherical aberration (mm), astigmatism (mm), and a distortion (%), and FIG. 30 shows a lateral aberration that corresponds to the image height H, 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.
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 10 have angles of view (2ω) of 71.4° to 78.9°.
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 10, the Fnos are as small as 1.9 to 2.1. 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., smartphones, cellular phones 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.
Accordingly, 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., smartphones, cellular phones and mobile information terminals), digital still cameras, security cameras, onboard cameras, and network cameras.
The disclosure of Japanese Patent Application No. 2019-042526, filed on Mar. 8, 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 positive refractive power;
a third lens having negative refractive power;
a fourth lens having negative refractive power;
a fifth lens;
a sixth lens;
a seventh lens;
an eighth lens; and
a ninth lens having negative refractive power, arranged in this order from an object side to an image plane side,
wherein said eighth lens and said ninth lens are arranged at an air interval,
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, and
the following conditional expression is satisfied:


0.2<R9r/f<1.0,


where f is a focal length of a whole lens system, and R9r is a paraxial curvature radius of an image plane side surface of the ninth lens.

2. The imaging lens according to claim 1, wherein said second lens has a focal length f2 so that the following conditional expression is satisfied:


0.3<f2/f<1.2,

where f is a focal length of a whole lens system.

3. The imaging lens according to claim 1, wherein said third lens has a focal length f3 so that the following conditional expression is satisfied:


−3.5<f3/f<−1.0,

where f is a focal length of a whole lens system.

4. The imaging lens according to claim 1, wherein said third lens has a focal length f3 and said fourth lens has a focal length f4 so that the following conditional expression is satisfied:


4<f4/f3<20.

5. The imaging lens according to claim 1, wherein said ninth lens has a focal length f9 so that the following conditional expression is satisfied:


−4.0<f9/f<−0.5,

where f is a focal length of a whole lens system.