An imaging lens includes a first lens having positive refractive power; a second lens having negative refractive power; a third lens having positive refractive power; and a fourth and a fifth lens having negative refractive power. The first lens is formed so that a curvature radius of an object-side surface is positive and the second lens is formed so that a curvature radius of an object-side surface and a curvature radius of an image plane-side surface are positive. The third lens is formed so that a curvature radius of an object-side surface is positive, and the fifth lens is formed so that a curvature radius of an object-side surface and a curvature radius of an image plane-side surface are both positive. An Abbe's number from the first and the third to the fifth lens is greater than 45, and an Abbe's number of the second lens is less than 35.
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0. 10. An imaging lens comprising:
a first lens having positive refractive power;
a second lens having negative refractive power;
a third lens having positive refractive power;
a fourth lens having negative refractive power; and
a fifth lens having negative refractive power, arranged in this order from an object side to an image plane side,
wherein said first lens is formed in a shape so that a curvature radius of a surface thereof on the object side is positive,
said second lens is formed in a shape so that a curvature radius of a surface thereof on the object side and a curvature radius of a surface thereof on the image plane side are both positive,
said third lens is formed in a shape so that a curvature radius of a surface thereof on the object side is positive,
said fifth lens is formed in a shape so that a curvature radius of a surface thereof on the object side and a curvature radius of a surface thereof on the image plane side are both positive,
each of said first lens, said third lens, said fourth lens, and said fifth lens has an Abbe's number greater than 45,
said second lens has an Abbe's number less than 35,
said first lens has a focal length f1, said second lens has a focal length f2, said third lens has a focal length f3, said fourth lens has a focal length f4, and said fifth lens has a focal length f5 so that the following conditional expressions are satisfied:
f1<f3 and |f2|<f3 f3<|f4| and |f2|<f5|, and a whole lens system has a focal length f so that the following conditional expression is satisfied:
5.0<f3/f<20.0. 0. 1. An imaging lens comprising:
a first lens having positive refractive power;
a second lens having negative refractive power;
a third lens having positive refractive power;
a fourth lens having negative refractive power; and
a fifth lens having negative refractive power, arranged in this order from an object side to an image plane side,
wherein said first lens is formed in a shape so that a curvature radius of a surface thereof on the object side is positive,
said second lens is formed in a shape so that a curvature radius of a surface thereof on the object side and a curvature radius of a surface thereof on the image plane side are both positive,
said third lens is formed in a shape so that a curvature radius of a surface thereof on the object side is positive,
said fifth lens is formed in a shape so that a curvature radius of a surface thereof on the object side and a curvature radius of a surface thereof on the image plane side are both positive,
each of said first lens, said third lens, said fourth lens, and said fifth lens has an Abbe's number greater than 45,
said second lens has an Abbe's number less than 35, and
said third lens and said fourth lens have a composite focal length f34 and a whole lens system has a focal length f so that the following conditional expression is satisfied:
5.0<f34/f<25.0. 0. 18. An imaging lens comprising:
a first lens;
a second lens;
a third lens having positive refractive power;
a fourth lens; and
a fifth lens having negative refractive power, arranged in this order from an object side to an image plane side,
wherein said second lens is formed in a shape so that a surface thereof on the image plane side is aspherical,
said fourth lens is formed in a shape so that a curvature radius of a surface thereof on the object side is negative,
said third lens has an Abbe's number greater than 45,
said second lens has a focal length f2, said third lens has a focal length f3, said fourth lens has a focal length f4, and said fifth lens has a focal length f5 so that the following conditional expressions are satisfied:
5.0<f3/f<20.0 f3<|f4| and |f2|<|f5|, where f is a focal length of a whole lens system, and
said second lens and said third lens are arranged so that the surface of the second lens on the image plane side is situated away from a surface of the third lens on the object side by a distance da on an optical axis thereof, and said third lens and said fourth lens are arranged so that a surface of the third lens on the image plane side is situated away from a surface of the fourth lens on the object side by a distance db on an optical axis thereof so that the following conditional expression is satisfied:
0.3<da/dB≤0.88. 0. 27. An imaging lens comprising:
a first lens;
a second lens;
a third lens;
a fourth lens; and
a fifth lens, arranged in this order from an object side to an image plane side,
wherein said first lens is formed in a shape so that a curvature radius of a surface thereof on the object side and a curvature radius of a surface thereof on the image plane side are both positive,
said second lens is formed in a shape so that a surface thereof on the image plane side is aspherical,
said fifth lens is formed in a shape so that a curvature radius of a surface thereof on the object side is positive,
said third lens has a focal length f3 and said fourth lens has a focal length f4 so that the following conditional expressions are satisfied:
f3<|f4|, 5.0<|f3|/f<20.0 where f is a focal length of a whole lens system,
said second lens is formed in the shape so that a surface thereof on the object side has a curvature radius r2f and the surface thereof on the image plane side has a curvature radius r2r so that the following conditional expression is satisfied:
1.5<r2f/R2r<6.0, and said second lens and said third lens are arranged so that the surface of the second lens on the image plane side is situated away from a surface of the third lens on the object side by a distance da on an optical axis thereof, and said third lens and said fourth lens are arranged so that a surface of the third lens on the image plane side is situated away from a surface of the fourth lens on the object side by a distance db on an optical axis thereof so that the following conditional expression is satisfied:
0.3<da/dB<1.5. 0. 2. The imaging lens according to
said second lens has a focal length f2,
said third lens has a focal length f3,
said fourth lens has a focal length f4, and
said fifth lens has a focal length f5 so that the following conditional expressions are satisfied:
f1<f3 and |f2|<f3 f3<|f4| and |f2|<|f5|. 0. 3. The imaging lens according to
0. 4. The imaging lens according to
−1.8<f2/f<−0.8. 0. 5. The imaging lens according to
said second lens has a focal length f2 so that the following conditional expression is satisfied:
−1.0<f1/f2<−0.4. 0. 6. The imaging lens according to
1.5<r2f/R2r<6.0. 0. 7. The imaging lens according to
5.0<f3/f<20.0. 0. 8. The imaging lens according to
said fourth lens is formed in the shape so that a surface thereof on the object side has a maximum effective diameter Φ4A and a surface thereof on the image plane side has a maximum effective diameter Φ4B,
a sag at up to 70% of the maximum effective diameters Φ3A to Φ4B has a maximum absolute value Z0.7, and
a whole lens system has a focal length f so that the following conditional expression is satisfied:
Z0.7/f<0.1. 0. 9. The imaging lens according to
said third lens and said fourth lens are arranged so that the surface of the third lens on the image plane side is situated away from the surface of the fourth lens on the object side by a distance db on the optical axis so that the following conditional expression is satisfied:
0.3<da/dB<1.5. 0. 11. The imaging lens according to
0. 12. The imaging lens according to
−1.8<f2/f<−0.8. 0. 13. The imaging lens according to
said second lens has a focal length f2 so that the following conditional expression is satisfied:
−1.0<f1/f2<−0.4. 0. 14. The imaging lens according to
1.5<r2f/R2r<6.0. 0. 15. The imaging lens according to
said fourth lens is formed in the shape so that a surface thereof on the object side has a maximum effective diameter Φ4A and a surface thereof on the image plane side has a maximum effective diameter Φ4B,
a sag at up to 70% of the maximum effective diameters Φ3A to Φ4B has a maximum absolute value Z0.7, and
a whole lens system has a focal length f so that the following conditional expression is satisfied:
Z0.7/f<0.1. 0. 16. The imaging lens according to
5.0<f34/f<25.0. 0. 17. The imaging lens according to
said third lens and said fourth lens are arranged so that the surface of the third lens on the image plane side is situated away from the surface of the fourth lens on the object side by a distance db on the optical axis so that the following conditional expression is satisfied:
0.3<da/dB<1.5. 0. 19. The imaging lens according to claim 18, wherein said fourth lens has negative refractive power.
0. 20. The imaging lens according to claim 18, wherein said first lens is formed in a shape so that a curvature radius of a surface thereof on the object side is positive, and
said second lens is formed in the shape so that a curvature radius of a surface thereof on the object side and a curvature radius of the surface thereof on the image plane side are both positive.
0. 21. The imaging lens according to claim 18, wherein said third lens is formed in a shape so that a curvature radius of the surface thereof on the object side is positive, and
said fifth lens is formed in a shape so that a curvature radius of a surface thereof on the object side and a curvature radius of a surface thereof on the image plane side are both positive.
0. 22. The imaging lens according to claim 18, wherein each of said first lens, said fourth lens, and said fifth lens has an Abbe's number greater than 45, and
said second lens has an Abbe's number less than 35.
0. 23. The imaging lens according to claim 18, wherein said first lens has a focal length f1 and said second lens has a focal length f2 so that the following conditional expressions are satisfied:
f1<f3 and |f2|<f3. 0. 24. The imaging lens according to claim 18, wherein said second lens has a focal length f2 so that the following conditional expression is satisfied:
−1.8<f2/f<−0.8. 0. 25. The imaging lens according to claim 18, wherein said first lens has a focal length f1 and said second lens has a focal length f2 so that the following conditional expression is satisfied:
−1.0<f1/f2<−0.4. 0. 26. The imaging lens according to claim 18, wherein said second lens is formed in the shape so that a surface thereof on the object side has the curvature radius r2f and the surface thereof on the image plane side has the curvature radius r2r so that the following conditional expression is satisfied:
1.5<r2f/R2r<6.0. 0. 28. The imaging lens according to claim 27, wherein said fourth lens and said fifth lens each have negative refractive power.
0. 29. The imaging lens according to claim 27, wherein said second lens is formed in the shape so that the curvature radius of the surface thereof on the object side and the curvature radius of the surface thereof on the image plane side are both positive.
0. 30. The imaging lens according to claim 27, wherein said third lens is formed in a shape so that a curvature radius of the surface thereof on the object side is positive, and
said fifth lens is formed in the shape so that a curvature radius of a surface thereof on the image plane side is positive.
0. 31. The imaging lens according to claim 27, wherein said fourth lens is formed in a shape so that a curvature radius of the surface thereof on the object side and a curvature radius of a surface thereof on the image plane side are both negative.
0. 32. The imaging lens according to claim 27, wherein each of said first lens, said third lens, said fourth lens, and said fifth lens has an Abbe's number greater than 45, and
said second lens has an Abbe's number less than 35.
0. 33. The imaging lens according to claim 27, wherein said first lens has a focal length f1 and said second lens has a focal length f2 so that the following conditional expressions are satisfied:
f1<f3 and |f2|<f3. 0. 34. The imaging lens according to claim 27, wherein said second lens has a focal length f2 so that the following conditional expression is satisfied:
−1.8<f2/f<−0.8 where f is a focal length of a whole lens system.
0. 35. The imaging lens according to claim 27, wherein said first lens has a focal length f1 and said second lens has a focal length f2 so that the following conditional expression is satisfied:
−1.0<f1/f2<−0.4. |
f3<|f4| and |f2|<|f5| (2)
When the imaging lens satisfies the conditional expressions (1) and (2), it is possible to satisfactorily correct aberrations while attaining miniaturization of the imaging lens. When the imaging lens satisfies the conditional expressions (1) and (2), the first lens and the second lens, which are arranged on the object side, have stronger refractive power than other three lenses. With the configuration, it is possible to shorten a total optical length of the imaging lens while securing certain angle of view, and it is possible to suitably attain miniaturization of the imaging lens. In addition, according to the invention, each lens from the third lens to the fifth lens has relatively weak refractive power. Aberrations occurred in the first lens and the second lens, which have strong refractive powers, are suitably corrected through each lens from the third lens to the fifth lens, which have weak refractive powers.
In the imaging lens having the above-described configuration, the fourth lens is preferably formed in a shape so that a curvature radius of an object-side surface thereof and a curvature radius of an image plane-side surface thereof are both negative.
As described above, the second lens is formed in a shape so that a curvature radius of the object-side surface thereof and a curvature radius of the image plane-side surface thereof are both positive, i.e. a shape of a meniscus lens directing a convex surface thereof to the object side. Furthermore, the fourth lens is formed in a shape so that a curvature radius of the object-side surface thereof and a curvature radius of the image plane-side surface thereof are both negative, i.e. a shape of a meniscus lens directing a concave surface thereof to the object side. Therefore, the second lens and the fourth lens are arranged disposing their concave surfaces to the third lens. With this configuration, aberrations occurred in the first lens are suitably corrected also by the negative-positive-negative refractive power arrangement of the lenses from the second to the fourth lenses and the shapes of the respective lenses of the second lens and the fourth lens.
When the whole lens system has a focal length f and the second lens has the focal length f2, the imaging lens having the above-described configuration preferably satisfies the following conditional expression (3):
−1.8<f2/f<−0.8 (3)
When the imaging lens satisfies the conditional expression (3), it is possible to restrain a chromatic aberration and a field curvature within preferred ranges. When the value exceeds the upper limit “−0.8”, since the second lens has strong refractive power in relative to the whole lens system, an axial chromatic aberration is excessively corrected (a focal position at a short wavelength moves towards the image plane side in relative to a focal position at a reference wavelength), and at the same time, an off-axis chromatic aberration of magnification is excessively corrected (an image-forming point at a short wavelength moves in a direction to be away from the optical axis in relative to an image-forming point at a reference wavelength). In addition, an image-forming surface curves to the image plane side and it is difficult to obtain satisfactory image-forming performance. On the other hand, when the value is below the lower limit “−1.8”, the second lens has weak refractive power in relative to the whole lens system, so that an axial chromatic aberration is insufficiently corrected (a focal position at a short wavelength moves towards the object side in relative to a focal position at a reference wavelength) and an off-axis chromatic aberration of magnification is insufficiently corrected (an image-forming point at a short wavelength moves in a direction to approach the optical axis in relative to an image-forming point at a reference wavelength). Moreover, an image-forming surface curves to the object side, so that it is difficult to obtain satisfactory image-forming performance also in this case.
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 (4):
−1.0<f1/f2<−0.4 (4)
When the imaging lens satisfies the conditional expression (4), it is possible to restrain an astigmatism, a field curvature, and a chromatic aberration within preferred ranges in a well-balanced manner, while restraining Petzval sum near zero. When the value exceeds the upper limit “−0.4”, the first lens has strong refractive power in relative to the second lens, an axial and an off-axis chromatic aberrations are insufficiently corrected. As for the astigmatism, a tangential image surface tilts to the object side and an astigmatic difference increases. For this reason, it is difficult to obtain satisfactory image-forming performance. On the other hand, when the value is below the lower limit “−1.0”, the first lens has weak refractive power in relative to the second lens, so that negative refractive power is strong and an axial and an off-axial chromatic aberrations are excessively corrected. In addition, an image-forming surface curves to the image plane side. As for the astigmatism, a tangential image surface tilts to an image plane side and the astigmatic difference increases. Therefore, also in this case, it is difficult to obtain satisfactory image-forming performance.
When a curvature radius of the object-side surface of the second lens is R2f and a curvature radius of the image plane-side surface thereof is R2r, the imaging lens having the above-described configuration preferably satisfies the following conditional expression (5):
1.5<R2f/R2r<6.0 (5)
When the imaging lens satisfies the conditional expression (5), it is possible to restrain a coma aberration, a field curvature, and a chromatic aberration within preferred ranges, respectively. When the value exceeds the upper limit “6.0”, the second lens has relatively strong refractive power, an outer coma aberration of an off-axis light beam increases, and an axial and an off-axis chromatic aberrations are excessively corrected. In addition, since an image-forming surface curves to the image plane side, it is difficult to obtain satisfactory image forming performance. On the other hand, when the value is below the lower limit “1.5”, the second lens has relatively weak refractive power, and the axial and the off-axis chromatic aberrations are insufficiently corrected. Moreover, the image forming surface curves to the object side, and also in this case, it is difficult to obtain satisfactory image forming performance.
When the whole lens system has the focal length f and the third lens has the focal length f3, the imaging lens having the above-described configuration preferably satisfies the following conditional expression (6):
5.0<f3/f<20.0 (6)
According to the imaging lens of the invention, the third lens mainly serves for correcting aberrations. When the imaging lens satisfies the conditional expression (6), it is possible to more satisfactorily correct aberrations while attaining miniaturization of the imaging lens. When the value exceeds the upper limit “20.0”, since the third lens has weak refractive power in relative to the whole lens system, it is difficult to attain miniaturization of the imaging lens. Here, when the third lens has weak refractive power, it is possible to attain miniaturization of the imaging lens by increasing the refractive power of the fourth lens or the fifth lens. In this case, however, it is difficult to correct aberrations (especially coma aberration), and it is difficult to obtain satisfactory image forming performance. On the other hand, when the value is below the lower limit “5.0”, although it is advantageous for attaining miniaturization of the imaging lens, the coma aberration increases and the astigmatic difference also increases. Therefore, also in this case, it is difficult to obtain satisfactory image forming performance.
When the maximum effective diameter of the object-side surface of the third lens is Φ3A, the maximum effective diameter of the image plane-side surface thereof is Φ3B, the maximum effective diameter of the object-side surface of the fourth lens is Φ4A, the maximum effective diameter of the image plane-side surface thereof is Φ4B, and the maximum absolute value of a sag (sagittal height) at up to 70% of the maximum effective diameters Φ3A to Φ4B is Z0.7, the imaging lens having the above-described configuration preferably satisfies the following conditional expression (7):
Z0.7/f<0.1 (7)
Therefore, restraining the maximum sag within certain range, the third lens and the fourth lens are formed in shapes that have substantially uniform thickness in the optical axis direction and are less curved. With such shapes of the third and the fourth lenses, generation of complicated aberrations is restrained and aberrations occurred in the first and the second lenses are satisfactorily corrected. Furthermore, sensitivity to deterioration of the image-forming performance due to decentering (axial displacement), tilting, or the like upon manufacturing the imaging lens, i.e., so-called “production error sensitivity” decreases. In addition, because of the substantially uniform thickness in the optical axis direction, fabrication properties upon production are improved and manufacturing cost of the imaging lens is restrained. Here, “sag” means, in each surface, a distance in a direction parallel to the optical axis from a tangential plane that is orthogonal to the optical axis to the surface.
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 (8):
5.0<f34/f<25.0 (8)
Restraining a ratio of the composite focal length of the third lens and the fourth lens to the focal length of the whole lens system within the range defined by the conditional expression (8), it is possible to more satisfactorily correct aberrations. When the value exceeds the upper limit “25.0”, the composite refractive power of the third lens and the fourth lens is relatively weak and it is difficult to restrain aberrations within preferred ranges in a well-balanced manner. On the other hand, when the value is below the lower limit “5.0”, composite refractive power of the third lens and the fourth lens is relatively strong, so although it is advantageous for correction of a distortion, the astigmatic difference increases. Therefore it is difficult to obtain satisfactory image-forming performance.
When a distance on the optical axis from the image plane-side surface of the second lens to the object-side surface of the third lens is dA and a distance on the optical axis from the image plane-side surface of the third lens to the object-side surface of the fourth lens is dB, the imaging lens having the above-described configuration preferably satisfies the following conditional expression (9):
0.3<dA/dB<1.5 (9)
In case of an imaging element such as a CCD sensor and a CMOS sensor, there is a limited range in an angle to take an incident light beam due to its structure. When an emitting angle of an off-axis light beam is outside the limited range above, it is difficult for a sensor to take therein light beams outside the limited range, which results in a so-called shading phenomenon. More specifically, an image obtained through the imaging lens has a dark periphery that is darker than the center part.
When the imaging lens satisfies the conditional expression (9), it is possible to keep the maximum emitting angle of an off-axis light beam small, while attaining miniaturization of the imaging lens. When the value exceeds the upper limit “1.5”, although it is easy to keep the maximum emitting angle of the off-axis light beam small, it is difficult to attain miniaturization of the imaging lens. On the other hand, when the value is below the lower limit “0.3”, although it is advantageous for miniaturization of the imaging lens, a chromatic aberration is insufficiently corrected and it is difficult to obtain satisfactory image-forming performance. In addition, since the maximum emitting angle of an off-axis light beam is large, the shading phenomenon easily occurs.
According to the imaging lens of the invention, it is possible to attain both miniaturization and satisfactory aberration correction of the imaging lens and provide a small-sized imaging lens with satisfactorily corrected aberrations.
Hereunder, referring to the accompanying drawings, an embodiment of the present invention will be fully described.
As shown in
According to the imaging lens of the embodiment, Abbe's numbers νd1 and νd3 to νd5 of the first lens and the lenses from the third lens L3 to the fifth lens L5 are respectively larger than 45, and an Abbe's number νd2 of the second lens L2 is smaller than 35. More specifically, the first lens L1 and the second lens L2 are made from a combination of low-dispersion material and a high-dispersion material, and each of the lenses from the third lens L3 to the fifth lens L5 is made of a low-dispersion material. With this arrangement of the Abbe's numbers, a chromatic aberration occurred in the first lens L1 is corrected by the second lens L2 and also satisfactorily corrected through each of the lenses from the third lens L3 to the fifth lens L5. In addition, since four of the five lenses from the first lens L1 to the fifth lens L5 are made of low-dispersion materials, generation of a chromatic aberration itself is suitably restrained. Here, more specifically, the Abbe's numbers νd1 to νd5 of the lenses from the first lens L1 to the fifth lens L5 are preferably restrained within ranges defined by the following conditional expressions, respectively. The imaging lenses of Numerical Data Examples 1 to 5 satisfy the following conditional expressions:
45<νd1<85
νd2<35
45<νd3<85
45<νd4<85
45<νd5<85
According to the imaging lenses in Numerical Data Examples 1 to 5 of this embodiment, the first lens L1 and each of the lenses from the third lens L3 to the fifth lens L5 have the same Abbe's number, and each lens is made of a same plastic material. For this reason, it is possible to suitably attain productivity improvement and manufacturing cost reduction of the imaging lens.
Furthermore, each of the lenses from the first lens L1 to the fifth lens L5 satisfies the following conditional expressions (1) and (2):
f1<f3 and |f2|<f3 (1)
f3<|f4| and |f2|<|f5| (2)
In the above conditional expressions:
f1: Focal length of a first lens L1
f2: Focal length of a second lens L2
f3: Focal length of a third lens L3
f4: Focal length of a fourth lens L4
f5: Focal length of a fifth lens L5
As described above, according to the imaging lens of this embodiment, the first lens L1 and the second lens L2, which are arranged on the object side in the imaging lens, have refractive powers that are stronger than those of other three lenses. Because of this, it is possible to attain miniaturization of the imaging lens and also suitably correct aberrations occurred in the first lens L1 and the second lens L2 through the respective lenses from the third lens L3 to the fifth lens L5, which have weak refractive powers.
According to the imaging lens having the above-described configuration, the first lens L1 is formed in a shape so that a curvature radius of an object-side surface thereof R1 and a curvature radius of an image plane-side surface thereof R2 are both positive, i.e. a shape of a meniscus lens directing a convex surface thereof to the object side near an optical axis X. Here, the shape of the first lens L1 is not limited to a shape of the meniscus lens directing a convex surface thereof to the object side near the optical axis X, and can be any as long as the curvature radius of the object-side surface thereof R1 is positive. More specifically, as a shape of the first lens L1, it is possible to form in a shape so that the curvature radius R1 is positive and the curvature radius R2 is negative, i.e. a shape of a biconvex lens near the optical axis X.
The second lens L2 is formed in a shape of a meniscus lens so that a curvature radius of an object-side surface thereof R3 and a curvature radius of an image plane-side surface thereof R4 are both positive and directs a convex surface thereof to the object side near the optical axis X. In addition, as described above, the second lens L2 is formed to satisfy the following conditional expressions (3) and (5). The second lens L2 and the first lens L1 are lenses having strong refractive powers among the lenses in the lens system. According to the embodiment, the first lens L1 and the second lens L2 satisfy the following conditional expression (4). When the imaging lens satisfies the conditional expression (4), it is possible to restrain Petzval sum of the whole lens system near zero and restrain an astigmatism, a field curvature, and a chromatic aberration within preferred ranges in a well-balanced manner.
−1.8<f2/f<−0.8 (3)
−1.0<f1/f2<−0.4 (4)
1.5<R2f/R2r<6.0 (5)
In the above conditional expressions:
In order to more satisfactorily correct aberrations, the imaging lens preferably satisfies the following conditional expression (4A). The imaging lenses in Numerical Data Examples 1 to 5 satisfy the following conditional expression (4A):
−0.7<f1/f2<−0.4 (4A)
On the other hand, the third lens L3 is formed in a shape so that a curvature radius of an object-side surface thereof R5 is positive and a curvature radius of an image plane-side surface R6 is negative, so as to have a shape of a biconvex lens near the optical axis X. Here, the shape of the third lens L3 is not limited to a shape of a biconvex lens near the optical axis X and can be any as long as it is formed in a shape so that the curvature radius of the object surface thereof R5 is positive. Numerical Data Examples 1 to 3 are examples in which the third lens L3 has a shape of a biconvex lens near the optical axis X. Numerical Data Examples 4 and 5 are examples in which the third lens L3 has a shape of a meniscus lens directing a convex surface thereof to the object side near the optical axis X.
The third lens L3 satisfies the following conditional expression (6). With this configuration, it is possible to more satisfactorily correct aberrations. The imaging lenses in Numerical Data Examples 1 to 5 satisfy the following conditional expression (6):
5.0<f3/f<20.0 (6)
The fourth lens L4 is formed in a shape so that a curvature radius of an object-side surface thereof R7 and a curvature radius of an image plane-side surface thereof R8 are both negative, i.e. a shape of a meniscus lens directing a concave surface thereof to the object side near the optical axis X. As described above, the second lens L2 is formed in a shape of a meniscus lens directing a convex surface thereof to the object side near the optical axis X. Forming the fourth lens L4 in a shape of a meniscus lens directing a concave surface thereof to the object side near the optical axis X, the second lens L2 and the fourth lens L4 are arranged directing their concave surfaces to the third lens L3. Therefore, aberrations occurred in the first lens L1 are suitably corrected by the negative-positive-negative refractive power arrangement of the lenses from the second lens L2 to the fourth lens L4 and the shapes of the respective lens surfaces of the second lens L2 and the fourth lens L4.
The third lens L3 and the fourth lens L4 mainly serve for correcting aberrations. According to the imaging lens of this embodiment, restraining the sag (sagittal height) of each lens surface of the third lens L3 and the fourth lens L4 within certain range, aberrations are satisfactorily corrected. More specifically, when the maximum effective diameter of the object-side surface of the third lens L3 is Φ3A, the maximum effective diameter of the image plane-side surface thereof is Φ3B, the maximum effective diameter of the object-side surface of the fourth lens L4 is Φ4A, the maximum effective diameter of the image plane-side surface thereof is Φ4B, and the maximum absolute value of a sag at up to 70% of the maximum effective diameters Φ3A to Φ4B is Z0.7, the imaging lens having the above-described configuration preferably satisfies the following conditional expression (7). The imaging lenses of Numerical Data Examples 1 to 5 satisfy the conditional expression (7):
Z0.7/f<0.1 (7)
With the maximum sags being restrained below the upper limit of the conditional expression (7), the third lens L3 and the fourth lens L4 have substantially uniform thicknesses in a direction of the optical axis X, and thereby have less curved shapes. With such lens shapes, aberrations are more satisfactorily corrected. Furthermore, sensitivity to deterioration of the image-forming performance due to decentering (axial displacement), tilting, or the like upon manufacturing the imaging lens, i.e. so-called “production error sensitivity” decreases. In addition, because of the substantially uniform thickness in the optical axis direction, fabrication properties upon production are improved and manufacturing cost of the imaging lens can be restrained. Here, “sag” means, in each surface, a distance in a direction parallel to the optical axis X from a tangential plane that is orthogonal to the optical axis X to the surface.
Here, each of lenses from the second lens L2 to the fourth lens L4 satisfies the following conditional expressions (8) and (9). With this configuration, aberrations are more satisfactorily corrected. In addition, since the maximum emitting angle of an off-axis light beam is kept small, generation of the shading phenomenon is restrained.
5.0<f34/f<25.0 (8)
0.3<dA/dB<1.5 (9)
In the above conditional expressions:
The fifth lens L5 is formed in a shape so that a curvature radius of an object-side surface thereof R9 and a curvature radius of an image plane-side surface thereof R10 are both positive, so as to have a shape of a meniscus lens directing a convex surface thereof to the object side near the optical axis X. In addition, an image plane-side surface of the fifth lens L5 is formed as an aspheric shape so as to be convex to the object side near the optical axis X and concave to the object side at the periphery. With such shape of the fifth lens L5, it is possible to suitably restrain an incident angle of a light beam emitted from the imaging lens to the image plane IM.
Here, it is not necessary to satisfy all of the conditional expressions (1) to (9) and (4A), and it is possible to obtain an effect corresponding to the respective conditional expression when any single one of the conditional expressions is individually satisfied.
In the embodiment, each lens has lens surfaces that are formed to be an aspheric surface. When the aspheric surfaces applied to the lens surfaces have an axis Z in the optical axis direction, a height H in a direction perpendicular to the optical axis, a conical coefficient k, and aspheric coefficients A4, A6, A8, A10, A12, A14, and A16, a shape of the aspheric surfaces of the lens surfaces may be expressed as follows:
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 curvature radius, d represents a distance between lens surfaces (surface spacing) on the optical axis, Nd represents a refractive index for a d line (a reference wavelength in this embodiment), and νd represents the Abbe's number for the d line, respectively. Here, aspheric surfaces are indicated with surface numbers i affixed with * (asterisk).
NUMERICAL DATA EXAMPLE 1
Basic lens data are shown below.
f = 3.75 mm, Fno = 2.4, ω = 34.2°
Unit: mm
Surface Data
Surface
Number i
R
d
Nd
νd
(Object)
∞
∞
1* (Stop)
1.494
0.554
1.5346
56.0(=νd1)
2*
15.307
0.055
3*
4.867(=R2f)
0.295
1.6354
23.9(=νd2)
4*
2.081(=R2r)
0.395(=dA)
5*
199.951
0.443
1.5346
56.0(=νd3)
6*
−13.687
0.479(=dB)
7*
−5.445
0.352
1.5346
56.0(=νd4)
8*
−5.735
0.050
9*
1.429
0.690
1.5346
56.0(=νd5)
10*
1.179
0.230
11
∞
0.300
1.5163
64.1
12
∞
0.671
(Image
∞
plane)
Aspheric Surface Data
First Surface
k = 0.000, A4 = −2.232E−03, A6 = −4.156E−02, A8 = 1.146E−01, A10 =
−1.020E−01
Second Surface
k = 0.000, A4 = −2.852E−01, A6 = 7.759E−01, A8 = −9.391E−01, A10 =
3.755E−01
Third Surface
k = 0.000, A4 = −3.709E−01, A6 = 1.044, A8 = −1.322, A10 = 6.076E−01
Fourth Surface
k = 0.000, A4 = −1.733E−01, A6 = 5.688E−01, A8 = −7.018E−01, A10 =
3.827E−01
Fifth Surface
k = 0.000, A4 = −2.063E−01, A6 = 1.702E−01, A8 = −1.919E−01, A10 =
1.962E−01,
A12 = −3.889E−02, A14 = −7.757E−02, A16 = 7.712E−02
Sixth Surface
k = 0.000, A4 = −1.502E−01, A6 = 7.633E−02, A8 = −2.745E−01, A10 =
4.997E−01,
A12 = −4.127E−01, A14 = 1.599E−01, A16 = −1.374E−02
Seventh Surface
k = 0.000, A4 = 3.640E−01, A6 = −4.621E−01, A8 = 3.053E−01, A10 =
−1.135E−01,
A12 = −4.504E−03, A14 = 1.468E−02, A16 = −2.511E−03
Eighth Surface
k = 0.000, A4 = 7.839E−02, A6 = 3.330E−02, A8 = −7.131E−02, A10 =
3.114E−02,
A12 = −7.637E−03, A14 = 1.613E−03, A16 = −2.096E−04
Ninth Surface
k = −1.189, A4 = −4.505E−01, A6 = 2.283E−01, A8 = −5.421E−02,
A10 = 2.224E−03, A12 = 1.448E−03, A14 = −1.660E−04, A16 = −1.344E−05
Tenth Surface
k = −2.993, A4 = −2.108E−01, A6 = 1.146E−01, A8 = −4.590E−02,
A10 = 1.134E−02, A12 = −1.666E−03, A14 = 1.401E−04, A16 = −6.057E−06
f1 = 3.06 mm
f2 = −5.97 mm
f3 = 23.98 mm
f4 = −349.61 mm
f5 = −319.33 mm
f34 = 26.31 mm
Z0.7 = 0.064 mm
The values of the respective conditional expressions are as follows:
f2/f=−1.59
f1/f2=−0.51
R2f/R2r=2.34
f3/f=6.39
Z0.7/f=0.017
f34/f=7.02
dA/dB=0.82
Accordingly, the imaging lens of Numerical Data Example 1 satisfies the above-described conditional expressions. A distance on the optical axis from an object-side surface of the first lens L1 to an image plane IM (the thickness of the filter 10 is a length in air, which is hereinafter the same) is 4.41 mm, and miniaturization of the imaging lens is suitably attained.
NUMERICAL DATA EXAMPLE 2
Basic lens data are shown below.
f = 3.75 mm, Fno = 2.4, ω = 34.2°
Unit: mm
Surface Data
Surface
Number i
R
d
Nd
νd
(Object)
∞
∞
1* (Stop)
1.494
0.554
1.5346
56.0(=νd1)
2*
15.307
0.055
3*
4.867(=R2f)
0.295
1.6354
23.9(=νd2)
4*
2.081(=R2r)
0.395(=dA)
5*
199.951
0.443
1.5346
56.0(=νd3)
6*
−13.687
0.479(=dB)
7*
−5.445
0.352
1.5346
56.0(=νd4)
8*
−5.735
0.050
9*
1.429
0.690
1.5346
56.0(=νd5)
10*
1.179
0.230
11
∞
0.300
1.5163
64.1
12
∞
0.671
(Image
∞
plane)
Aspheric Surface Data
First Surface
k = 0.000, A4 = −2.232E−03, A6 = −4.156E−02, A8 = 1.146E−01, A10 =
−1.020E−01
Second Surface
k = 0.000, A4 = −2.852E−01, A6 = 7.759E−01, A8 = −9.391E−01, A10 =
3.755E−01
Third Surface
k = 0.000, A4 = −3.709E−01, A6 = 1.044, A8 = −1.322, A10 = 6.076E−01
Fourth Surface
k = 0.000, A4 = −1.733E−01, A6 = 5.688E−01, A8 = −7.018E−01, A10 =
3.827E−01
Fifth Surface
k = 0.000, A4 = −2.063E−01, A6 = 1.702E−01, A8 = −1.919E−01, A10 =
1.962E−01,
A12 = −3.889E−02, A14 = −7.757E−02, A16 = 7.712E−02
Sixth Surface
k = 0.000, A4 = −1.502E−01, A6 = 7.633E−02, A8 = −2.745E−01, A10 =
4.997E−01,
A12 = −4.127E−01, A14 = 1.599E−01, A16 = −1.374E−02
Seventh Surface
k = 0.000, A4 = 3.640E−01, A6 = −4.621E−01, A8 = 3.053E−01, A10 =
−1.135E−01,
A12 = −4.504E−03, A14 = 1.468E−02, A16 = −2.511E−03
Eighth Surface
k = 0.000, A4 = 7.839E−02, A6 = 3.330E−02, A8 = −7.131E−02, A10 =
3.114E−02,
A12 = −7.637E−03, A14 = 1.613E−03, A16 = −2.096E−04
Ninth Surface
k = −1.189, A4 = −4.505E−01, A6 = 2.283E−01, A8 = −5.421E−02,
A10 = 2.224E−03, A12 = 1.448E−03, A14 = −1.660E−04, A16 = −1.344E−05
Tenth Surface
k = −2.993, A4 = −2.108E−01, A6 = 1.146E−01, A8 = −4.590E−02,
A10 = 1.134E−02, A12 = −1.666E−03, A14 = 1.401E−04, A16 = −6.057E−06
f1 = 3.06 mm
f2 = −5.97 mm
f3 = 23.98 mm
f4 = −349.61 mm
f5 = −319.33 mm
f34 = 26.31 mm
Z0.7 = 0.064 mm
The values of the respective conditional expressions are as follows:
f2/f=−1.57
f1/f2=−0.52
R2f/R2r=2.36
f3/f=6.52
Z0.7/f=0.017
f34/f=7.20
dA/dB=0.83
Accordingly, the imaging lens of Numerical Data Example 2 satisfies the above-described conditional expressions. A distance on the optical axis from an object-side surface of the first lens L1 to the image plane IM is 4.42 mm, and miniaturization of the imaging lens is suitably attained.
NUMERICAL DATA EXAMPLE 3
Basic lens data are shown below.
f = 3.75 mm, Fno = 2.4, ω = 33.7°
Unit: mm
Surface Data
Surface
Number i
R
d
Nd
νd
(Object)
∞
∞
1* (Stop)
1.469
0.529
1.5346
56.0(=νd1)
2*
17.604
0.057
3*
5.107(=R2f)
0.311
1.6142
25.6(=νd2)
4*
1.967(=R2r)
0.416(=dA)
5*
17.450
0.397
1.5346
56.0(=νd3)
6*
−30.875
0.475(=dB)
7*
−4.948
0.355
1.5346
56.0(=νd4)
8*
−5.213
0.100
9*
1.293
0.600
1.5346
56.0(=νd5)
10*
1.078
0.230
11
∞
0.300
1.5163
64.1
12
∞
0.679
(Image
∞
plane)
Aspheric Surface Data
First Surface
k = 0.000, A4 = −8.828E−03, A6 = −3.600E−02, A8 = 9.073E−02, A10 =
−1.009E−01
Second Surface
k = 0.000, A4 = −3.033E−01, A6 = 7.653E−01, A8 = −9.313E−01, A10 =
4.154E−01
Third Surface
k = 0.000, A4 = −3.902E−01, A6 = 1.046, A8 = −1.308, A10 = 6.546E−01
Fourth Surface
k = 0.000, A4 = −1.685E−01, A6 = 5.385E−01, A8 = −6.571E−01, A10 =
3.751E−01
Fifth Surface
k = 0.000, A4 = −2.018E−01, A6 = 1.608E−01, A8 = −1.860E−01, A10 =
1.964E−01, A12 = −4.170E−02, A14 = −8.252E−02, A16 = 7.450E−02
Sixth Surface
k = 0.000, A4 = −1.444E−01, A6 = 7.709E−02, A8 = −2.736E−01, A10 =
5.001E−01, A12 = −4.125E−01, A14 = 1.604E−01, A16 = −1.293E−02
Seventh Surface
k = 0.000, A4 = 3.633E−01, A6 = −4.604E−01, A8 = 3.078E−01, A10 =
−1.143E−01, A12 = −4.492E−03, A14 = 1.475E−02, A16 = −2.511E−03
Eighth Surface
k = 0.000, A4 = 8.745E−02, A6 = 3.309E−02, A8 = −7.145E−02, A10 =
3.112E−02, A12 = −7.667E−03, A14 = 1.606E−03, A16 = −2.108E−04
Ninth Surface
k = −1.169, A4 = −4.523E−01, A6 = 2.282E−01, A8 = −5.435E−02,
A10 = 2.186E−03, A12 = 1.437E−03, A14 = −1.637E−04, A16 = −1.044E−05
Tenth Surface
k = −3.124, A4 = −2.106E−01, A6 = 1.146E−01, A8 = −4.588E−02,
A10 = 1.135E−02, A12 = −1.663E−03, A14 = 1.403E−04, A16 = −6.224E−06
f1 = 2.96 mm
f2 = −5.41 mm
f3 = 20.91 mm
f4 = −338.97 mm
f5 = −402.36 mm
f34 = 22.82 mm
Z0.7 = 0.050 mm
The values of the respective conditional expressions are as follows:
f2/f=−1.44
f1/f2=−0.55
R2f/R2r=2.60
f3/f=5.58
Z0.7/f=0.013
f34/f=6.09
dA/dB=0.88
Accordingly, the imaging lens of Numerical Data Example 3 satisfies the above-described conditional expressions. A distance on the optical axis from an object-side surface of the first lens L1 to the image plane IM is 4.35 mm, and miniaturization of the imaging lens is suitably attained.
NUMERICAL DATA EXAMPLE 4
Basic lens data are shown below.
f = 3.85 mm, Fno = 2.4, ω = 33.0°
Unit: mm
Surface Data
Surface
Number i
R
d
Nd
νd
(Object)
∞
∞
1* (Stop)
1.496
0.563
1.5346
56.0(=νd1)
2*
11.052
0.054
3*
4.359(=R2f)
0.318
1.6354
23.9(=νd2)
4*
2.129(=R2r)
0.403(=dA)
5*
25.104
0.428
1.5346
56.0(=νd3)
6*
100.397
0.488(=dB)
7*
−5.675
0.357
1.5346
56.0(=νd4)
8*
−5.990
0.050
9*
1.432
0.706
1.5346
56.0(=νd5)
10*
1.176
0.230
11
∞
0.300
1.5163
64.1
12
∞
0.655
(Image
∞
plane)
Aspheric Surface Data
First Surface
k = 0.000, A4 = −2.168E−03, A6 = −4.526E−02, A8 = 1.120E−01, A10 =
−1.002E−01
Second Surface
k = 0.000, A4 = −2.877E−01, A6 = 7.705E−01, A8 = −9.423E−01, A10 =
3.788E−01
Third Surface
k = 0.000, A4 = −3.725E−01, A6 = 1.047, A8 = −1.321, A10 = 6.019E−01
Fourth Surface
k = 0.000, A4 = −1.760E−01, A6 = 5.612E−01, A8 = −7.063E−01, A10 =
3.859E−01
Fifth Surface
k = 0.000, A4 = −2.054E−01, A6 = 1.634E−01, A8 = −1.966E−01, A10 =
1.934E−01, A12 = −4.027E−02, A14 = −7.780E−02, A16 = 7.807E−02
Sixth Surface
k = 0.000, A4 = −1.488E−01, A6 = 8.112E−02, A8 = −2.722E−01, A10 =
5.006E−01, A12 = −4.126E−01, A14 = 1.597E−01, A16 = −1.423E−02
Seventh Surface
k = 0.000, A4 = 3.653E−01, A6 = −4.620E−01, A8 = 3.053E−01, A10 =
−1.135E−01, A12 = −4.476E−03, A14 = 1.471E−02, A16 = −2.496E−03
Eighth Surface
k = 0.000, A4 = 7.807E−02, A6 = 3.337E−02, A8 = −7.124E−02, A10 =
3.117E−02, A12 = −7.628E−03, A14 = 1.616E−03, A16 = −2.088E−04
Ninth Surface
k = −1.190, A4 = −4.506E−01, A6 = 2.282E−01, A8 = −5.418E−02,
A10 = 2.248E−03, A12 = 1.456E−03, A14 = −1.640E−04, A16 = −1.308E−05
Tenth Surface
k = −3.033, A4 = −2.109E−01, A6 = 1.145E−01, A8 = −4.591E−02,
A10 = 1.134E−02, A12 = −1.665E−03, A14 = 1.403E−04, A16 = −6.039E−06
f1 = 3.17 mm
f2 = −6.93 mm
f3 = 62.49 mm
f4 = −334.24 mm
f5 = −311.61 mm
f34 = 78.62 mm
Z0.7 = 0.039 mm
The values of the respective conditional expressions are as follows:
f2/f=−1.80
f1/f2=−0.46
R2f/R2r=2.05
f3/f=16.23
Z0.7/f=0.010
f34/f=20.42
dA/dB=0.83
Accordingly, the imaging lens of Numerical Data Example 4 satisfies the above-described conditional expressions. A distance on the optical axis from an object-side surface of the first lens L1 to the image plane IM is 4.45 mm, and miniaturization of the imaging lens is suitably attained.
NUMERICAL DATA EXAMPLE 5
Basic lens data are shown below.
f = 4.03 mm, Fno = 2.4, ω = 33.8°
Unit: mm
Surface Data
Surface
Number i
R
d
Nd
νd
(Object)
∞
∞
1* (Stop)
1.435
0.582
1.5346
56.0(=νd1)
2*
19.399
0.050
3*
12.591(=R2f)
0.300
1.6142
25.6(=νd2)
4*
2.327(=R2r)
0.427(=dA)
5*
2.533
0.317
1.5346
56.0(=νd3)
6*
2.867
0.496(=dB)
7*
−4.253
0.395
1.5346
56.0(=νd4)
8*
−4.460
0.050
9*
1.465
0.683
1.5346
56.0(=νd5)
10*
1.176
0.230
11
∞
0.300
1.5163
64.1
12
∞
0.758
(Image
∞
plane)
Aspheric Surface Data
First Surface
k = 0.000, A4 = −1.069E−02, A6 = −3.135E−02, A8 = 6.640E−02, A10 =
−7.875E−02
Second Surface
k = 0.000, A4 = −2.936E−01, A6 = 7.790E−01, A8 = −8.988E−01, A10 =
3.456E−01
Third Surface
k = 0.000, A4 = −3.251E−01, A6 = 1.044, A8 = −1.254, A10 = 5.701E−01
Fourth Surface
k = 0.000, A4 = −1.182E−01, A6 = 5.603E−01, A8 = −6.761E−01, A10 =
3.725E−01
Fifth Surface
k = 0.000, A4 = −2.166E−01, A6 = 1.845E−01, A8 = −2.115E−01, A10 =
2.047E−01, A12 = −5.521E−02, A14 = −9.370E−02, A16 = 5.066E−02
Sixth Surface
k = 0.000, A4 = −1.396E−01, A6 = 9.119E−02, A8 = −2.877E−01, A10 =
5.054E−01, A12 = −4.175E−01, A14 = 1.590E−01, A16 = −2.205E−02
Seventh Surface
k = 0.000, A4 = 3.837E−01, A6 = −4.522E−01, A8 = 2.893E−01, A10 =
−1.088E−01, A12 = −2.938E−03, A14 = 1.541E−02, A16 = −3.082E−03
Eighth Surface
k = 0.000, A4 = 6.462E−02, A6 = 4.386E−02, A8 = −7.139E−02, A10 =
3.095E−02, A12 = −7.683E−03, A14 = 1.586E−03, A16 = −1.918E−04
Ninth Surface
k = −1.584, A4 = −4.420E−01, A6 = 2.332E−01, A8 = −5.365E−02,
A10 = 1.387E−03, A12 = 1.454E−03, A14 = −1.265E−04, A16 = −1.213E−05
Tenth Surface
k = −3.311, A4 = −2.134E−01, A6 = 1.163E−01, A8 = −4.577E−02,
A10 = 1.136E−02, A12 = −1.717E−03, A14 = 1.438E−04, A16 = −5.312E−06
f1 = 2.87 mm
f2 = −4.70 mm
f3 = 30.60 mm
f4 = −515.28 mm
f5 = −411.21 mm
f34 = 33.51 mm
Z0.7 = 0.066 mm
The values of the respective conditional expressions are as follows:
f2/f=−1.17
f1/f2=−0.61
R2f/R2r=5.41
f3/f=7.59
Z0.7/f=0.016
f34/f=8.32
dA/dB=0.86
Accordingly, the imaging lens of Numerical Data Example 5 satisfies the above-described conditional expressions. A distance on the optical axis from an object-side surface of the first lens L1 to the image plane IM is 4.49 mm, and miniaturization of the imaging lens is suitably attained.
Accordingly, when the imaging lens of the embodiment is applied to an imaging optical system of a cellular phone, a digital still camera, a portable information terminal, a security camera, a vehicle onboard camera, a network camera, and the like, it is possible to achieve both the high performance and the small size for the camera or the like.
Here, the imaging lens of the invention is not limited to the above-described embodiment. In the above-described embodiment, any surfaces of the first lens L1 through the fifth lens L5 are formed as aspheric surfaces, but it is not necessary to form all the surfaces as aspheric surfaces. Alternatively, it is also possible to form one of or both surfaces of any lens from the first lens L1 through the fifth lens in a spherical surface(s).
The invention may be applicable to the imaging lens of a device that is required to have a small size and satisfactory aberration correction ability, e.g., the imaging lenses used in the cellular phones, the digital still cameras, and the like.
The disclosure of Japanese Patent Application No. 2011-190560, filed on Sep. 1, 2011, is incorporated in the application.
While the invention has been explained with reference to the specific embodiments of the invention, the explanation is illustrative and the invention is limited only by the appended claims.
Hirano, Hitoshi, Kubota, Kenichi, Kubota, Yoji, Kurihara, Ichiro, Ise, Yoshio, Yonezawa, Tomohiro
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Jul 10 2017 | ISE, YOSHIO | KANTATSU CO , LTD | ASSIGNMENT OF ASSIGNORS INTEREST SEE DOCUMENT FOR DETAILS | 043092 | /0820 | |
Jul 11 2017 | KUBOTA, YOJI | KANTATSU CO , LTD | ASSIGNMENT OF ASSIGNORS INTEREST SEE DOCUMENT FOR DETAILS | 043092 | /0820 | |
Jul 11 2017 | HIRANO, HITOSHI | Optical Logic INC | ASSIGNMENT OF ASSIGNORS INTEREST SEE DOCUMENT FOR DETAILS | 043092 | /0820 | |
Jul 11 2017 | KUBOTA, KENICHI | Optical Logic INC | ASSIGNMENT OF ASSIGNORS INTEREST SEE DOCUMENT FOR DETAILS | 043092 | /0820 | |
Jul 11 2017 | KUBOTA, YOJI | Optical Logic INC | ASSIGNMENT OF ASSIGNORS INTEREST SEE DOCUMENT FOR DETAILS | 043092 | /0820 | |
Jul 11 2017 | KUBOTA, KENICHI | KANTATSU CO , LTD | ASSIGNMENT OF ASSIGNORS INTEREST SEE DOCUMENT FOR DETAILS | 043092 | /0820 | |
Jul 11 2017 | HIRANO, HITOSHI | KANTATSU CO , LTD | ASSIGNMENT OF ASSIGNORS INTEREST SEE DOCUMENT FOR DETAILS | 043092 | /0820 | |
Jul 11 2017 | KURIHARA, ICHIRO | KANTATSU CO , LTD | ASSIGNMENT OF ASSIGNORS INTEREST SEE DOCUMENT FOR DETAILS | 043092 | /0820 | |
Jul 11 2017 | KURIHARA, ICHIRO | Optical Logic INC | ASSIGNMENT OF ASSIGNORS INTEREST SEE DOCUMENT FOR DETAILS | 043092 | /0820 | |
Jul 13 2017 | YONEZAWA, TOMOHIRO | Optical Logic INC | ASSIGNMENT OF ASSIGNORS INTEREST SEE DOCUMENT FOR DETAILS | 043092 | /0820 | |
Jul 13 2017 | YONEZAWA, TOMOHIRO | KANTATSU CO , LTD | ASSIGNMENT OF ASSIGNORS INTEREST SEE DOCUMENT FOR DETAILS | 043092 | /0820 | |
Jul 25 2017 | Kantatsu Co., Ltd. | (assignment on the face of the patent) | / | |||
Jul 04 2018 | KANTATSU CO , LTD | KANTATSU CO , LTD | ASSIGNMENT OF ASSIGNORS INTEREST SEE DOCUMENT FOR DETAILS | 047288 | /0456 | |
Jul 04 2018 | Optical Logic INC | KANTATSU CO , LTD | ASSIGNMENT OF ASSIGNORS INTEREST SEE DOCUMENT FOR DETAILS | 047288 | /0456 | |
Oct 01 2019 | KANTATSU CO , LTD | KANTATSU CO , LTD | CHANGE OF ADDRESS | 057061 | /0113 | |
Aug 06 2021 | KANTATSU CO , LTD | TOKYO VISIONARY OPTICS CO , LTD | ASSIGNMENT OF ASSIGNORS INTEREST SEE DOCUMENT FOR DETAILS | 057109 | /0379 |
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