Lens assembly including six lenses of +−+++−, +−+−+−, or ++−++−; or seven lenses of+−++−+−, or +−+++−− refractive powers

Information

  • Patent Grant
  • 11921260
  • Patent Number
    11,921,260
  • Date Filed
    Friday, August 23, 2019
    5 years ago
  • Date Issued
    Tuesday, March 5, 2024
    10 months ago
Abstract
A lens assembly includes a first lens, a second lens, a third lens, a fourth lens, a fifth lens, and a sixth lens, wherein the first, second, third, fourth, fifth, and sixth lenses are arranged in order from an object side to an image side along an optical axis. The first lens is a meniscus lens with positive refractive power and includes a convex surface facing the object side and a concave surface facing the image side. The second, third, and fourth lenses are with refractive power. The fifth lens is with positive refractive power and includes a convex surface facing the image side. The sixth lens is with negative refractive power and includes a concave surface facing the image side. The lens assembly satisfies: 3
Description

This application is a Divisional of U.S. patent application Ser. No. 16/242,228, filed Jan. 8, 2019 and entitled “Display devices and methods for manufacturing the same”, now U.S. Pat. No. 11,018,089, the entirety of which is incorporated by reference herein.


BACKGROUND OF THE INVENTION
Field of the Invention
Description of the Related Art

The current development trend of a lens assembly is toward small F-number. Additionally, the lens assembly is developed to have miniaturization and high resolution capability in accordance with different application requirements. However, the known lens assembly can't satisfy such requirements. Therefore, the lens assembly needs a new structure in order to meet the requirements of small F-number, miniaturization, and high resolution at the same time.


BRIEF SUMMARY OF THE INVENTION

The invention provides a lens assembly to solve the above problems. The lens assembly of the invention is provided with characteristics of a smaller F-number, a shortened total lens length, a higher resolution, and still has a good optical performance.


The lens assembly in accordance with an exemplary embodiment of the invention includes a first lens, a second lens, a third lens, a fourth lens, a fifth lens, and a sixth lens, wherein the first, second, third, fourth, fifth, and sixth lenses are arranged in order from an object side to an image side along an optical axis. The first lens is a meniscus lens with positive refractive power and includes a convex surface facing the object side and a concave surface facing the image side. The second, third, and fourth lenses are with refractive power. The fifth lens is with positive refractive power and includes a convex surface facing the image side. The sixth lens is with negative refractive power and includes a concave surface facing the image side. The lens assembly satisfies: 3<D1/T6<9; wherein D1 is an effective optical diameter of the convex surface of the first lens and T6 is a thickness of the sixth lens along the optical axis.


In another exemplary embodiment, the second lens is a meniscus lens and the third lens is with positive refractive power and includes a convex surface facing the object side.


In yet another exemplary embodiment, the second lens is with negative refractive power and includes a convex surface facing the object side and a concave surface facing the image side.


In another exemplary embodiment, the lens assembly further includes a seventh lens disposed between the fourth lens and the fifth lens, wherein the seventh lens is with negative refractive power, the fourth lens includes a convex surface facing the object side, the fifth lens further includes a concave surface facing the object side, and the sixth lens further includes a convex surface facing the object side.


In yet another exemplary embodiment, the lens assembly satisfies: 1.2<f/D1<2.5; wherein D1 is an effective optical diameter of the convex surface of the first lens and f is an effective focal length of the lens assembly.


In another exemplary embodiment, the lens assembly satisfies: 10 mm<(R11+R12+R52+R62)×((T5+T6)/G5)<29 mm; wherein T5 is a thickness of the fifth lens along the optical axis, T6 is a thickness of the sixth lens along the optical axis, R11 is a radius of curvature of the convex surface of the first lens, R12 is a radius of curvature of the concave surface of the first lens, R52 is a radius of curvature of the convex surface of the fifth lens, R62 is a radius of curvature of the concave surface of the sixth lens, and G5 is an air interval from the convex surface of the fifth lens to an object side surface of the sixth lens along the optical axis.


In yet another exemplary embodiment, the lens assembly satisfies: −5<(f1−f6)/(T5+T6−R62+R52)<−1; −20 mm<f×((f1−f6)/(T5+T6−R62+R52))<−5 mm; wherein f is an effective focal length of the lens assembly, f1 is an effective focal length of the first lens, f6 is an effective focal length of the sixth lens, T5 is a thickness of the fifth lens along the optical axis, T6 is a thickness of the sixth lens along the optical axis, R52 is a radius of curvature of the convex surface of the fifth lens, and R62 is a radius of curvature of the concave surface of the sixth lens.


In another exemplary embodiment, the lens assembly satisfies: −3.5<(f1+f5+f6)/(T5+T6−R62+R52)<−1.5; wherein f1 is an effective focal length of the first lens, f5 is an effective focal length of the fifth lens, f6 is an effective focal length of the sixth lens, T5 is a thickness of the fifth lens along the optical axis, T6 is a thickness of the sixth lens along the optical axis, R52 is a radius of curvature of the convex surface of the fifth lens, and R62 is a radius of curvature of the concave surface of the sixth lens.


In yet another exemplary embodiment, the lens assembly satisfies: −10<F×((f1−f6)/(T5+T6−R62+R52))<−3; wherein F is a F-number of the lens assembly, f1 is an effective focal length of the first lens, f6 is an effective focal length of the sixth lens, T5 is a thickness of the fifth lens along the optical axis, T6 is a thickness of the sixth lens along the optical axis, R52 is a radius of curvature of the convex surface of the fifth lens, and R62 is a radius of curvature of the concave surface of the sixth lens.


In another exemplary embodiment, the lens assembly satisfies: 1.3 mm<(f1−f6)/((T5+T6)/G5)<5 mm; wherein f1 is an effective focal length of the first lens, f6 is an effective focal length of the sixth lens, T5 is a thickness of the fifth lens along the optical axis, T6 is a thickness of the sixth lens along the optical axis, and G5 is an air interval from the convex surface of the fifth lens to an object side surface of the sixth lens along the optical axis.


In yet another exemplary embodiment, the lens assembly satisfies: 10 mm<|AAG×(R21+R22)/(R21−R22)|<20 mm; wherein AAG is a total air interval from the concave surface of the first lens to an object side surface of a lens which is closest to the image side along the optical axis, R21 is a radius of curvature of an object side surface of the second lens, and R22 is a radius of curvature of an image side surface of the second lens.


In another exemplary embodiment, the lens assembly satisfies: −1.8 mm<(R52+R62)×(R31/f1)<0 mm; wherein f1 is an effective focal length of the first lens, R31 is a radius of curvature of the convex surface of the third lens, R52 is a radius of curvature of the convex surface of the fifth lens, and R62 is a radius of curvature of the concave surface of the sixth lens.


In yet another exemplary embodiment, the lens assembly satisfies: 37 mm<|f×(R21+R22)/(R21−R22)|<55 mm; 16<|F×(R21+R22)/(R21−R22)|<25; wherein f is an effective focal length of the lens assembly, F is a F-number of the lens assembly, R21 is a radius of curvature of an object side surface of the second lens, and R22 is a radius of curvature of an image side surface of the second lens.


In another exemplary embodiment, the lens assembly satisfies: 0 mm<|f234|<50 mm; −35 mm<(f1×f6)/(T1+T2+T6)<−6 mm; −3.5<(R11+R12)/(R52−R62)<−1; 0.5<TTL/(R62−R52)<1.9; wherein f234 is an effective focal length of a combination of the second lens, the third lens, and the fourth lens, f1 is an effective focal length of the first lens, f6 is an effective focal length of the sixth lens, T1 is a thickness of the first lens along the optical axis, T2 is a thickness of the second lens along the optical axis, T6 is a thickness of the sixth lens along the optical axis, R11 is a radius of curvature of the convex surface of the first lens, R12 is a radius of curvature of the concave surface of the first lens, R52 is a radius of curvature of the convex surface of the fifth lens, R62 is a radius of curvature of the concave surface of the sixth lens, and TTL is an interval from the convex surface of the first lens to an image plane along the optical axis.


In yet another exemplary embodiment, the second lens is a meniscus lens with negative refractive power and includes a convex surface facing the object side and a concave surface facing the image side, the third lens is a meniscus lens with positive refractive power and includes a convex surface facing the object side and a concave surface facing the image side, the lens assembly further includes a seventh lens disposed between the sixth lens and the image side, wherein the seventh lens is a meniscus lens with negative refractive power and includes a convex surface facing the object side and a concave surface facing the image side.


In another exemplary embodiment, the fourth lens is a meniscus lens with negative refractive power and includes a convex surface facing the object side and a concave surface facing the image side, the fifth lens further includes a concave surface facing the object side, and the sixth lens further includes a concave surface facing the object side.


In yet another exemplary embodiment, the fourth lens is a meniscus lens with positive refractive power and includes a concave surface facing the object side and a convex surface facing the image side, the fifth lens further includes a concave surface facing the object side, and the sixth lens further includes a convex surface facing the object side.


In another exemplary embodiment, the lens assembly satisfies: 4.5 mm<TTL/F<6 mm; 0<D1/TTL<1; wherein TTL is an interval from the convex surface of the first lens to an image plane along the optical axis, F is a F-number of the lens assembly, and D1 is an effective optical diameter of the convex surface of the first lens.


In yet another exemplary embodiment, the lens assembly satisfies: 2<(R71−R12)/T7<6; 8<f1/T7<13; 2<f3/f<3.5; wherein f is an effective focal length of the lens assembly, f1 is an effective focal length of the first lens, f3 is an effective focal length of the third lens, T7 is a thickness of the seventh lens along the optical axis, R12 is a radius of curvature of the concave surface of the first lens, and R71 is a radius of curvature of the convex surface of the seventh lens.


In another exemplary embodiment, the lens assembly satisfies: −20 mm<f×((f1−f6)/(T5+T6−R62+R52))<−5 mm; 10 mm<|AAG×(R21+R22)/(R21−R22)|<20 mm; 1.3 mm<(f1−f6)/((T5+T6)/G5)<5 mm; −5<(f1−f6)/(T5+T6−R62+R52)<−1; wherein f is an effective focal length of the lens assembly, f1 is an effective focal length of the first lens, f6 is an effective focal length of the sixth lens, T5 is a thickness of the fifth lens along the optical axis, T6 is a thickness of the sixth lens along the optical axis, AAG is a total air interval from the concave surface of the first lens to an object side surface of a lens which is closest to the image side along the optical axis, G5 is an air interval from the convex surface of the fifth lens to an object side surface of the sixth lens along the optical axis, R21 is a radius of curvature of the convex surface of the second lens, R22 is a radius of curvature of the concave surface of the second lens, R52 is a radius of curvature of the convex surface of the fifth lens, and R62 is a radius of curvature of the concave surface of the sixth lens.


A detailed description is given in the following embodiments with reference to the accompanying drawings.





BRIEF DESCRIPTION OF THE DRAWINGS

The invention can be more fully understood by reading the subsequent detailed description and examples with references made to the accompanying drawings, wherein:



FIG. 1 is a lens layout diagram of a lens assembly in accordance with a first embodiment of the invention;



FIG. 2A depicts a field curvature diagram of the lens assembly in accordance with the first embodiment of the invention;



FIG. 2B is a distortion diagram of the lens assembly in accordance with the first embodiment of the invention;



FIG. 2C is a modulation transfer function diagram of the lens assembly in accordance with the first embodiment of the invention;



FIG. 3 is a lens layout diagram of a lens assembly in accordance with a second embodiment of the invention;



FIG. 4A depicts a field curvature diagram of the lens assembly in accordance with the second embodiment of the invention;



FIG. 4B is a distortion diagram of the lens assembly in accordance with the second embodiment of the invention;



FIG. 4C is a modulation transfer function diagram of the lens assembly in accordance with the second embodiment of the invention;



FIG. 5 is a lens layout diagram of a lens assembly in accordance with a third embodiment of the invention;



FIG. 6A depicts a field curvature diagram of the lens assembly in accordance with the third embodiment of the invention;



FIG. 6B is a distortion diagram of the lens assembly in accordance with the third embodiment of the invention;



FIG. 6C is a modulation transfer function diagram of the lens assembly in accordance with the third embodiment of the invention;



FIG. 7 is a lens layout diagram of a lens assembly in accordance with a fourth embodiment of the invention;



FIG. 8A depicts a field curvature diagram of the lens assembly in accordance with the fourth embodiment of the invention;



FIG. 8B is a distortion diagram of the lens assembly in accordance with the fourth embodiment of the invention;



FIG. 8C is a modulation transfer function diagram of the lens assembly in accordance with the fourth embodiment of the invention;



FIG. 9 is a lens layout diagram of a lens assembly in accordance with a fifth embodiment of the invention;



FIG. 10A depicts a field curvature diagram of the lens assembly in accordance with the fifth embodiment of the invention;



FIG. 10B is a distortion diagram of the lens assembly in accordance with the fifth embodiment of the invention;



FIG. 10C is a modulation transfer function diagram of the lens assembly in accordance with the fifth embodiment of the invention;



FIG. 11 is a lens layout diagram of a lens assembly in accordance with a sixth embodiment of the invention;



FIG. 12A depicts a field curvature diagram of the lens assembly in accordance with the sixth embodiment of the invention;



FIG. 12B is a distortion diagram of the lens assembly in accordance with the sixth embodiment of the invention;



FIG. 12C is a modulation transfer function diagram of the lens assembly in accordance with the sixth embodiment of the invention;



FIG. 13 is a lens layout diagram of a lens assembly in accordance with a ninth embodiment of the invention;



FIG. 14A depicts a field curvature diagram of the lens assembly in accordance with the ninth embodiment of the invention;



FIG. 14B is a distortion diagram of the lens assembly in accordance with the ninth embodiment of the invention;



FIG. 14C is a modulation transfer function diagram of the lens assembly in accordance with the ninth embodiment of the invention;



FIG. 15 is a lens layout diagram of a lens assembly in accordance with a tenth embodiment of the invention;



FIG. 16A depicts a field curvature diagram of the lens assembly in accordance with the tenth embodiment of the invention;



FIG. 16B is a distortion diagram of the lens assembly in accordance with the tenth embodiment of the invention; and



FIG. 16C is a modulation transfer function diagram of the lens assembly in accordance with the tenth embodiment of the invention.





DETAILED DESCRIPTION OF THE INVENTION

The following description is made for the purpose of illustrating the general principles of the invention and should not be taken in a limiting sense. The scope of the invention is best determined by reference to the appended claims.


Referring to FIG. 1, FIG. 1 is a lens layout diagram of a lens assembly in accordance with a first embodiment of the invention. The lens assembly 1 includes a stop ST1, a first lens L11, a second lens L12, a third lens L13, a fourth lens L14, a fifth lens L15, a sixth lens L16, and an optical filter OF1, all of which are arranged in order from an object side to an image side along an optical axis OA1. In operation, an image of light rays from the object side is formed at an image plane IMA1.


The first lens L11 is a meniscus lens with positive refractive power, wherein the object side surface S12 is a convex surface, the image side surface S13 is a concave surface, and both of the object side surface S12 and image side surface S13 are aspheric surfaces.


The second lens L12 is a meniscus lens with negative refractive power, wherein the object side surface S14 is a convex surface, the image side surface S15 is a concave surface, and both of the object side surface S14 and image side surface S15 are aspheric surfaces.


The third lens L13 is a meniscus lens with positive refractive power, wherein the object side surface S16 is a convex surface, the image side surface S17 is a concave surface, and both of the object side surface S16 and image side surface S17 are aspheric surfaces.


The fourth lens L14 is a meniscus lens with positive refractive power, wherein the object side surface S18 is a convex surface, the image side surface S19 is a concave surface, and both of the object side surface S18 and image side surface S19 are aspheric surfaces.


The fifth lens L15 is a meniscus lens with positive refractive power, wherein the object side surface S110 is a concave surface, the image side surface S111 is a convex surface, and both of the object side surface S110 and image side surface S111 are aspheric surfaces.


The sixth lens L16 is a meniscus lens with negative refractive power, wherein the object side surface S112 is a convex surface, the image side surface S113 is a concave surface, and both of the object side surface S112 and image side surface S113 are aspheric surfaces.


Both of the object side surface S114 and image side surface S115 of the optical filter OF1 are plane surfaces.


In order to maintain excellent optical performance of the lens assembly in accordance with the first embodiment of the invention, the lens assembly 1 satisfies any of the following conditions:

3<D11/T16<9  (1)
−20 mm<f1×((f11−f16)/(T15+T16−R162+R152))<−5 mm  (2)
37 mm<|f1×(R121+R122)/(R121−R122)|<55 mm  (3)
10 mm<|AAG1×(R121+R122)/(R121−R122)|<20 mm  (4)
16<|F1×(R121+R122)/(R121−R122)|<25  (5)
−1.8 mm<(R152+R162)×(R131/f11)<0 mm  (6)
0 mm<|f1234|<50 mm  (7)
1.2<f1/D11<2.5  (8)
−35 mm<(f11×f16)/(T11+T12+T16)<−6 mm  (9)
1.3 mm<(f11−f16)/((T15+T16)/G15)<5 mm  (10)
10 mm<(R111+R112+R152+R162)×((T15+T16)/G15)<29 mm  (11)
−3.5<(R111+R112)/(R152−R162)<−1  (12)
0.5<TTL1/(R162−R152)<1.9  (13)
−3.5<(f11+f15+f16)/(T15+T16−R162+R152)<−1.5  (14)
−5<(f11−f6)/(T15+T16−R162+R152)<−1  (15)
−10<F1×((f11−f16)/(T15+T16−R162+R152))<−3  (16)


wherein f11 is an effective focal length of the first lens L11, f15 is an effective focal length of the fifth lens L15, f16 is an effective focal length of the sixth lens L16, f1234 is an effective focal length of an combination of the second lens L12, the third lens L13, and the fourth lens L14, f1 is an effective focal length of the lens assembly 1, R111 is a radius of curvature of the object side surface S12 of the first lens L11, R112 is a radius of curvature of the image side surface S13 of the first lens L11, R121 is a radius of curvature of the object side surface S14 of the second lens L12, R122 is a radius of curvature of the image side surface S15 of the second lens L12, R131 is a radius of curvature of the object side surface S16 of the third lens L13, R152 is a radius of curvature of the image side surface S111 of the fifth lens L15, R162 is a radius of curvature of the image side surface S113 of the sixth lens L16, D11 is an effective optical diameter of the object side surface S12 of the first lens L11, AAG1 is a total air interval from the image side surface S13 of the first lens L11 to the object side surface S112 of the lens which is closest to the image side along the optical axis OA1, F1 is a F-number of the lens assembly 1, T11 is a thickness of the first lens L11 along the optical axis OA1, T12 is a thickness of the second lens L12 along the optical axis OA1, T15 is a thickness of the fifth lens L15 along the optical axis OA1, T16 is a thickness of the sixth lens L16 along the optical axis OA1, G15 is an air interval from the image side surface S111 of the fifth lens L15 to the object side surface S112 of the sixth lens L16 along the optical axis OA1, and TTL is an interval from the object side surface S12 of the first lens L11 to the image plane IMA1 along the optical axis OA1.


By the above design of the lenses, stop ST1, and satisfies any one of the conditions (1)-(16), the lens assembly 1 is provided with an effective shortened total lens length, an effective decreased F-number, an effective decreased weight, an effective increased resolution, an effective corrected chromatic aberration, and an effective corrected aberration.


In order to achieve the above purposes and effectively enhance the optical performance, the lens assembly 1 in accordance with the first embodiment of the invention is provided with the optical specifications shown in Table 1, which include the effective focal length, F-number, total lens length, field of view, radius of curvature of each lens surface, thickness between adjacent surface, refractive index of each lens, and Abbe number of each lens.









TABLE 1







Effective Focal Length = 4.2 mm F-number = 1.75


Total Lens Length = 4.67 mm Field of View = 74.55 Degrees













Radius of






Surface
Curvature
Thickness





Number
(mm)
(mm)
Nd
Vd
Remark















S11

−0.52294


Stop ST1


S12
1.563816
0.675953
1.543915
55.9512
The First Lens L11


S13
3.365206
0.046823





S14
3.142057
0.23263
2.00178
19.31
The Second Lens L12


S15
2.623577
0.256374





S16
5.850165
0.379348
1.543915
55.9512
The Third Lens L13


S17
186.9579
0.442625





S18
198.5873
0.335275
1.66059
20.40123
The Fourth Lens L14


S19
200.2454
0.323511





S110
−10.8852
0.406006
1.543915
55.9512
The Fifth Lens L15


S111
−2.09262
0.186813





S112
21.30867
0.483992
1.543915
55.9512
The Sixth Lens L16


S113
1.247064
0.65





S114

0.11
1.5168
64.16734
Optical Filter OF1


S115

0.14592









The aspheric surface sag z of each lens in table 1 can be calculated by the following formula:

z=ch2/{1+[1−(k+1)c2h2]1/2}+Ah4+Bh6+Ch8+Dh10+Eh12+Fh14+Gh16+Hh18+Ih20+Jh3+Kh5+Lh7+Mh9

where c is curvature, h is the vertical distance from the lens surface to the optical axis, k is conic constant and A, B, C, D, E, F, G, H, I, J, K, L and M are aspheric coefficients.


In the first embodiment, the conic constant k, the aspheric coefficients A, B, C, D, E, F, G of each surface are shown in Table 2, and the other aspheric coefficients H, I, J, K, L, M are equal to 0.














TABLE 2





Surface

A
B
C



Number
k
E
F
G
D




















S12
−4.97001
0.15369838
−0.074385811
0.043195945
−0.016805873




0.004995695
−0.000757271
−0.000858983



S13
−31.6477
−0.10064785
0.23399098
−0.27208014
0.16123458




−0.045325381
0.002793569
0.000272295



S14
−13.2031
−0.11719647
0.30118067
−0.34364279
0.20561232




−0.05228702
0.006672719
−0.002839692



S15
0.557025
−0.063224648
0.20285807
−0.24185234
0.17078357




−0.054655375
0.016179998
0.001416727



S16
3.170478
−0.03096829
0.056174132
−0.11939153
0.16881894




−0.14900069
0.053540513
0.018751924



S17
7987.518
−0.038768648
−0.005844849
0.030193654
−0.092493516




0.10769043
−0.089656968
0.043850952



S18
27744.22
0.15004574
−0.030394027
−0.011577591
−0.10923485




−0.002640372
0.088060362
−0.20534379



S19
16413.82
−0.091107797
−0.026295122
0.045421882
−0.035705859




0.01381037
−0.000676153
−0.000545724



S110
−4270.48
0.12629012
−0.22372003
0.16762013
−0.10573508




0.39369773
−7.42E−03
0.000593527



S111
−26.194
0.075790498
−0.061728191
0.007926949
−0.000814489




  8.12E−04
−2.08E−04
  1.69628E−05



S112
−664.314
−0.26336188
0.12416449
−0.03317444
0.006441507




−0.000924982
  8.74E−05
  −4.15E−06



S113
−8.70199
−0.12006548
0.057510197
−0.020212968
0.004389072




−5.64E−04
  3.77E−05
  −9.65E−07










Table 3 shows the parameters and condition values for conditions (1)-(16) in accordance with the first embodiment of the invention. As can be seen from Table 3, the lens assembly 1 of the first embodiment satisfies the conditions (1)-(16).














TABLE 3







f11
4.7245 mm
f15
  4.6687 mm
f16
 −2.4469 mm


f1234
25.672 mm
f1
    4.2 mm
R111
  1.563816 mm


R112
3.3652 mm
R121
  3.1421 mm
R122
  2.623577 mm


R131
5.8502 mm
R152
−2.0925 mm
R162
  1.247064 mm


D11
  2.4 mm
AAG1
  1.2561 mm
F1
1.75


T11
 0.676 mm
T12
  0.2326 mm
T15
  0.406006 mm


T16
 0.484 mm
G15
  0.1868 mm
TTL1
    4.67 mm


D11/T16
4.96
f1/D11
1.75










f1 × ((f11 − f16)/(T15 + T16 − R162 + R152))
  −12.30 mm


|f1 × (R121 + R122)/(R121 − R122)|
    46.71 mm


|AAG1 × (R121 + R122)/(R121 − R122)|
    13.97 mm


|F1 × (R121 + R122 )/(R121 − R122)|
19.46


(R152 + R162) × (R131/f11)
  −1.05 mm


(f11 × f16)/(T11 + T12 + T16)
  −8.30 mm


(f11 − f16)/((T15 + T16)/G15)
     1.51 mm


(R111 + R112 + R152 + R162) × ((T15 + T16)/G15)
    19.45 mm


(R111 + R112)/(R152 − R162)
−1.48


TTL1/(R162 − R152)
1.40


(f11 + f15 + f16)/(T15 + T16 − R162 + R152)
−2.84


(f11 − f16)/(T15 + T16 − R162 + R152)
−2.93


F1 × ((f11 − f16)/(T15 + T16 − R162 + R152))
−5.12









By the above arrangements of the lenses and stop ST1, the lens assembly 1 of the first embodiment can meet the requirements of optical performance as seen in FIGS. 2A-2C, wherein FIG. 2A shows a field curvature diagram of the lens assembly 1 in accordance with the first embodiment of the invention, FIG. 2B shows a distortion diagram of the lens assembly 1 in accordance with the first embodiment of the invention, and FIG. 2C shows a modulation transfer function diagram of the lens assembly 1 in accordance with the first embodiment of the invention.


It can be seen from FIG. 2A that the field curvature of tangential direction and sagittal direction in the lens assembly 1 of the first embodiment ranges from −0.06 mm to 0.06 mm for the wavelength of 0.470 μm, 0.510 μm, 0.550 μm, 0.610 μm, and 0.650 μm.


It can be seen from FIG. 2B (the five lines in the figure almost coincide to appear as if a signal line) that the distortion in the lens assembly 1 of the first embodiment ranges from −1.0% to 2.5% for the wavelength of 0.470 μm, 0.510 μm, 0.550 μm, 0.610 μm, and 0.650 μm.


It can be seen from FIG. 2C that the modulation transfer function of tangential direction and sagittal direction in the lens assembly 1 of the first embodiment ranges from 0.07 to 1.0 wherein the wavelength ranges from 0.4700 μm to 0.6500 μm, the fields respectively are 0.0000 mm, 1.4208 mm, 2.4864 mm, and 3.1968 mm, and the spatial frequency ranges from 0 lp/mm to 360 lp/mm.


It is obvious that the field curvature and the distortion of the lens assembly 1 of the first embodiment can be corrected effectively, and the resolution of the lens assembly 1 of the first embodiment can meet the requirement. Therefore, the lens assembly 1 of the first embodiment is capable of good optical performance.


Referring to FIG. 3, FIG. 3 is a lens layout diagram of a lens assembly in accordance with a second embodiment of the invention. The lens assembly 2 includes a stop ST2, a first lens L21, a second lens L22, a third lens L23, a fourth lens L24, a fifth lens L25, a sixth lens L26, and an optical filter OF2, all of which are arranged in order from an object side to an image side along an optical axis OA2. In operation, an image of light rays from the object side is formed at an image plane IMA2.


The first lens L21 is a meniscus lens with positive refractive power, wherein the object side surface S22 is a convex surface, the image side surface S23 is a concave surface, and both of the object side surface S22 and image side surface S23 are aspheric surfaces.


The second lens L22 is a meniscus lens with negative refractive power, wherein the object side surface S24 is a convex surface, the image side surface S25 is a concave surface, and both of the object side surface S24 and image side surface S25 are aspheric surfaces.


The third lens L23 is a biconvex lens with positive refractive power, wherein the object side surface S26 is a convex surface, the image side surface S27 is a convex surface, and both of the object side surface S26 and image side surface S27 are aspheric surfaces.


The fourth lens L24 is a meniscus lens with negative refractive power, wherein the object side surface S28 is a concave surface, the image side surface S29 is a convex surface, and both of the object side surface S28 and image side surface S29 are aspheric surfaces.


The fifth lens L25 is a biconvex lens with positive refractive power, wherein the object side surface S210 is a convex surface, the image side surface S211 is a convex surface, and both of the object side surface S210 and image side surface S211 are aspheric surfaces.


The sixth lens L26 is a biconcave lens with negative refractive power, wherein the object side surface S212 is a concave surface, the image side surface S213 is a concave surface, and both of the object side surface S212 and image side surface S213 are aspheric surfaces.


Both of the object side surface S214 and image side surface S215 of the optical filter OF2 are plane surfaces.


In order to maintain excellent optical performance of the lens assembly in accordance with the second embodiment of the invention, the lens assembly 2 satisfies any one of the conditions (1)-(16), wherein the definition for all of the parameters in the second embodiment is the same as that of in the first embodiment, and is not described here again.


By the above design of the lenses, stop ST2, and satisfies any one of the conditions (1)-(16), the lens assembly 2 is provided with an effective shortened total lens length, an effective decreased F-number, an effective decreased weight, an effective increased resolution, an effective corrected chromatic aberration, and an effective corrected aberration.


In order to achieve the above purposes and effectively enhance the optical performance, the lens assembly 2 in accordance with the second embodiment of the invention is provided with the optical specifications shown in Table 4, which include the effective focal length, F-number, total lens length, field of view, radius of curvature of each lens surface, thickness between adjacent surface, refractive index of each lens, and Abbe number of each lens.









TABLE 4







Effective Focal Length = 3.62 mm F-number = 1.75


Total Lens Length = 4.98 mm Field of View = 83.98 Degrees













Radius of






Surface
Curvature
Thickness





Number
(mm)
(mm)
Nd
Vd
Remark















S21

−0.3359


Stop ST2


S22
1.920542
0.488408
1.543915
55.9512
The First Lens L21


S23
4.274104
0.132819





S24
2.07469
0.159749
1.66059
20.40123
The Second Lens L22


S25
1.792898
0.356171





S26
20.68135
0.74306
1.543915
55.9512
The Third Lens L23


S27
−2.83887
0.315431





S28
−1.45191
0.398051
2.00178
19.32
The Fourth Lens L24


S29
−2.38764
0.073708





S210
2.176731
0.539143
1.543915
55.9512
The Fifth Lens L25


S211
−2.31732
0.445523





S212
−2.65301
0.255841
1.543915
55.9512
The Sixth Lens L26


S213
1.986388
0.9





S214

0.11
1.5168
64.16734
Optical Filter OF2


S215

0.071032












The definition of aspheric surface sag z of each lens in table 4 is the same as that of in Table 1.


In the second embodiment, the conic constant k and the aspheric coefficients A, B, C, D, E, F, G of each surface are shown in Table 5, and the other aspheric coefficients H, I, J, K, L, M are equal to 0.














TABLE 5





Surface

A
B
C



Number
k
E
F
G
D




















S22
0
0.003580146
0.034970556
−0.085002583
0.16927152




−0.16330368
0.085618736
−0.018718433



S23
0
−0.19873322
0.46910847
−0.75692886
0.76811177




−0.35787177
0.00788197
0.014640282



S24
0
−0.51882584
0.70118687
−0.78144789
0.65653672




−0.34977511
0.040310318
0.002792297



S25
−10.4304
−0.19020316
0.2340826
−0.13911807
0.069376414




−0.049610226
−0.027817133
0.030272205



S26
0
−0.074796467
−0.079908635
0.025760841
0.01962782




−0.084169925
0.077005883
−0.036097769



S27
0
0.042479211
−0.31654219
0.28532777
−0.14223394




0.046799286
−0.013602644
0.001317115



S28
0
0.38858205
−0.65680929
0.65281795
−0.32147688




0.086918083
−0.014599115
0.001951501



S29
−0.09465
0.10362476
−0.17747735
0.15153189
−0.061921546




0.013318731
−0.001416595
  4.54397E−05



S210
−17.0307
−0.097901977
0.032492457
−0.000401072
−0.004394774




0.00067359
  2.25E−04
−4.44267E−05



S211
0
0.008633402
0.008207492
0.001085566
−0.000166415




  −3.09E−05
−1.38E−06
   1.1745E−06



S212
0
−0.03955554
0.015582281
0.000139515
−0.000180389




−6.09639E−06
  7.89E−08
    2.73E−07



S213
−7.854
−0.048402329
0.013831356
−0.002546696
0.000219393




  −2.59E−06
−1.24E−06
    8.33E−08










Table 6 shows the parameters and condition values for conditions (1)-(16) in accordance with the second embodiment of the invention. As can be seen from Table 6, the lens assembly 2 of the second embodiment satisfies the conditions (1)-(16).














TABLE 6







f21
   5.9531 mm
f25
   2.1478 mm
f26
 −2.0418 mm


f2234
 −26.2793 mm
f2
    3.62 mm
R211
  1.920542 mm


R212
  4.274104 mm
R221
   2.07469 mm
R222
  1.792898 mm


R231
  20.68135 mm
R252
 −2.31732 mm
R262
  1.986388 mm


D21
    2.068 mm
AAG2
  1.323652 mm
F2
1.75


T21
  0.488408 mm
T22
  0.159749 mm
T25
  0.539143 mm


T26
  0.255841 mm
G25
  0.445523 mm
TTL2
    4.98 mm


D21/T26
8.08
f2/D21
1.75










f2 × ((f21 − f26)/(T25 + T26 − R262 + R252))
  −8.25 mm


|f2 × (R221 + R222)/(R221 − R222)|
    49.68 mm


|AAG2 × (R221 + R222)/(R221 − R222)|
    18.17 mm


|F2 × (R221 + R222 )/(R221 − R222)|
24.02


(R252 + R262) × (R231/f21)
  −1.15 mm


(f21 × f26)/(T21 + T22 + T26)
  −13.45 mm


(f21 − f26)/((T25 + T26)/G25)
     4.48 mm


(R211 + R212 + R252 + R262) × ((T25 + T26)/G25)
    10.46 mm


(R211 + R212)/(R252 − R262)
−1.44


TTL2/(R262 − R252)
1.16


(f21 + f25 + f26)/(T25 + T26 − R262 + R252)
−1.73


(f21 − f26)/(T25 + T26 − R262 + R252)
−2.28


F2 × ((f21 − f26)/(T25 + T26 − R262 + R252))
−3.99









By the above arrangements of the lenses and stop ST2, the lens assembly 2 of the second embodiment can meet the requirements of optical performance as seen in FIGS. 4A-4C, wherein FIG. 4A shows a field curvature diagram of the lens assembly 2 in accordance with the second embodiment of the invention, FIG. 4B shows a distortion diagram of the lens assembly 2 in accordance with the second embodiment of the invention, and FIG. 4C shows a modulation transfer function diagram of the lens assembly 2 in accordance with the second embodiment of the invention.


It can be seen from FIG. 4A that the field curvature of tangential direction and sagittal direction in the lens assembly 2 of the second embodiment ranges from −0.13 mm to 0.06 mm for the wavelength of 0.470 μm, 0.510 μm, 0.555 μm, 0.610 μm, and 0.650 μm.


It can be seen from FIG. 4B that the distortion in the lens assembly 2 of the second embodiment ranges from 0.0% to 2.1% for the wavelength of 0.470 μm, 0.510 μm, 0.555 μm, 0.610 μm, and 0.650 μm.


It can be seen from FIG. 4C that the modulation transfer function of tangential direction and sagittal direction in the lens assembly 2 of the second embodiment ranges from 0.01 to 1.0 wherein the wavelength ranges from 0.4700 μm to 0.6500 μm, the fields respectively are 0.0000 mm, 0.9780 mm, 2.6080 mm, and 3.2600 mm, and the spatial frequency ranges from 0 lp/mm to 360 lp/mm.


It is obvious that the field curvature and the distortion of the lens assembly 2 of the second embodiment can be corrected effectively, and the resolution of the lens assembly 2 of the second embodiment can meet the requirement. Therefore, the lens assembly 2 of the second embodiment is capable of good optical performance


Referring to FIG. 5, FIG. 5 is a lens layout diagram of a lens assembly in accordance with a third embodiment of the invention. The lens assembly 3 includes a stop ST3, a first lens L31, a second lens L32, a third lens L33, a fourth lens L34, a seventh lens L37, a fifth lens L35, a sixth lens L36, and an optical filter OF3, all of which are arranged in order from an object side to an image side along an optical axis OA3. In operation, an image of light rays from the object side is formed at an image plane IMA3.


The first lens L31 is a meniscus lens with positive refractive power, wherein the object side surface S32 is a convex surface, the image side surface S33 is a concave surface, and both of the object side surface S32 and image side surface S33 are aspheric surfaces.


The second lens L32 is a meniscus lens with negative refractive power, wherein the object side surface S34 is a convex surface, the image side surface S35 is a concave surface, and both of the object side surface S34 and image side surface S35 are aspheric surfaces.


The third lens L33 is a meniscus lens with positive refractive power, wherein the object side surface S36 is a convex surface, the image side surface S37 is a concave surface, and both of the object side surface S36 and image side surface S37 are aspheric surfaces.


The fourth lens L34 is a biconvex lens with positive refractive power, wherein the object side surface S38 is a convex surface, the image side surface S39 is a convex surface, and both of the object side surface S38 and image side surface S39 are aspheric surfaces.


The seventh lens L37 is a meniscus lens with negative refractive power, wherein the object side surface S310 is a convex surface, the image side surface S311 is a concave surface, and both of the object side surface S310 and image side surface S311 are aspheric surfaces.


The fifth lens L35 is a meniscus lens with positive refractive power, wherein the object side surface S312 is a concave surface, the image side surface S313 is a convex surface, and both of the object side surface S312 and image side surface S313 are aspheric surfaces.


The sixth lens L36 is a meniscus lens with negative refractive power, wherein the object side surface S314 is a convex surface, the image side surface S315 is a concave surface, and both of the object side surface S314 and image side surface S315 are aspheric surfaces.


Both of the object side surface S316 and image side surface S317 of the optical filter OF3 are plane surfaces.


In order to maintain excellent optical performance of the lens assembly in accordance with the third embodiment of the invention, the lens assembly 3 satisfies any one of the conditions (1)-(16), wherein the definition for all of the parameters in the third embodiment is the same as that of in the first embodiment, and is not described here again.


By the above design of the lenses, stop ST3, and satisfies any one of the conditions (1)-(16), the lens assembly 3 is provided with an effective shortened total lens length, an effective decreased F-number, an effective decreased weight, an effective increased resolution, an effective corrected chromatic aberration, and an effective corrected aberration.


In order to achieve the above purposes and effectively enhance the optical performance, the lens assembly 3 in accordance with the third embodiment of the invention is provided with the optical specifications shown in Table 7, which include the effective focal length, F-number, total lens length, field of view, radius of curvature of each lens surface, thickness between adjacent surface, refractive index of each lens, and Abbe number of each lens.









TABLE 7







Effective Focal Length = 4.607 mm F-number = 1.75


Total Lens Length = 5.32 mm Field of View = 79.07 Degrees













Radius of






Surface
Curvature
Thickness





Number
(mm)
(mm)
Nd
Vd
Remark















S31

−0.52373


Stop ST3


S32
1.745424
0.660154
1.543915
55.9512
The First Lens L31


S33
3.505787
0.047158





S34
3.231158
0.244762
2.00178
19.32
The Second Lens L32


S35
2.712958
0.180239





S36
2.669923
0.264321
1.543915
55.9512
The Third Lens L33


S37
2.937868
0.146977





S38
20.60798
0.372803
1.543915
55.9512
The Fourth Lens L34


S39
−14.1978
0.38439





S310
15.69618
0.315331
1.66059
20.40123
The Seventh Lens L37


S311
9.932442
0.27571





S312
−145.129
0.511896
1.543915
55.9512
The Fifth Lens L35


S313
−2.72256
0.191005





S314
15.57393
0.70513
1.543915
55.9512
The Sixth Lens L36


S315
1.505153
0.8





S316

0.11
1.5168
64.16734
Optical Filter OF3


S317

0.109341









The definition of aspheric surface sag z of each lens in table 7 is the same as that of in Table 1.


In the third embodiment, the conic constant k and the aspheric coefficients A, B, C, D, E, F, G of each surface are shown in Table 8, and the other aspheric coefficients H, I, J, K, L, M are equal to 0.














TABLE 8





Surface

A
B
C



Number
k
E
F
G
D




















S32
0
0.116448
−0.0475452
0.02295312
−0.007564445




0.001869846
−0.000287356
−0.000331834



S33
0
−0.08271992
0.14862196
−0.14466178
0.07258406




−0.016663758
0.000863346
−0.000109297



S34
0
−0.089681301
0.19255293
−0.18326385
0.092285067




−0.019039327
0.002159805
−0.000578909



S35
−10.4304
−0.05572392
0.12689755
−0.12736977
0.076035082




−0.022863814
0.003101442
0.002288972



S36
0
−0.042508157
0.027905424
−0.079446469
0.067552115




−0.055236199
0.018417326
−0.000197732



S37
0
−0.037918671
0.017967542
−0.070224987
0.070902693




−0.059389388
0.014275321
0.003568861



S38
0
−0.032219182
0.029237603
−0.064008467
0.07741453




−0.055090837
0.015810888
0.003827928



S39
−0.09465
−0.045933585
−0.003777886
0.009368141
−0.038438945




0.04524895
−0.026213969
0.009776153



S310
−17.0307
−0.094448688
−0.00712757
0.055128543
−0.093329176




0.053213222
−1.04E−02
−0.001352676



S311
0
−0.073230224
−0.024815555
0.027063341
−0.015815785




  4.78E−03
−3.36E−04
−6.5366E−05



S312
0
0.1323955
−0.16738347
0.098936868
−0.047966252




0.014380444
−2.29E−03
   1.64E−04



S313
−7.854
0.10108584
−0.054597884
0.007329516
−0.000326662




  2.37E−04
−7.54E−05
   6.73E−06



S314
0
−0.17994384
0.07887635
−0.018478415
0.002875373




−0.000336196
  2.81E−05
 −1.18E−06



S315
0
−0.085149342
0.035711454
−0.010573808
0.001935381




−2.09E−04
  1.23E−05
 −2.98E−07










Table 9 shows the parameters and condition values for conditions (1)-(16) in accordance with the third embodiment of the invention. As can be seen from Table 9, the lens assembly 3 of the third embodiment satisfies the conditions (1)-(16).














TABLE 9







f31
 5.6219 mm
f35
   5.0754 mm
f36
 −3.1067 mm


f3234
 25.7632 mm
f3
    4.607 mm
R311
  1.745424 mm


R312
3.505787 mm
R321
  3.231158 mm
R322
  2.712958 mm


R331
2.669923 mm
R352
 −2.72256 mm
R362
  1.505153 mm


D31
  2.559 mm
AAG3
  1.225479 mm
F3
1.75


T31
0.660154 mm
T32
  0.244762 mm
T35
  0.511896 mm


T36
 0.70513 mm
G35
  0.191005 mm
TTL3
    5.32 mm


D31/T36
3.63
f3/D31
1.80










f3 × ((f31 − f36)/(T35 + T36 − R362 + R352))
  −13.36 mm


|f3 × (R321 + R322)/(R321 − R322)|
    52.85 mm


|AAG3 × (R321 + R322)/(R321 − R322)|
    14.06 mm


|F3 × (R321 + R322 )/(R321 − R322)|
20.07


(R352 + R362) × (R331/f31)
  −0.58 mm


(f31 × f36)/(T31 + T32 + T36)
  −10.85 mm


(f31 − f36)/((T35 + T36)/G35)
     1.37 mm


(R311 + R312 + R352 + R362) × ((T35 + T36)/G35)
    25.70 mm


(R311 + R312)/(R352 − R362)
−1.24


TTL3/(R362 − R352)
1.26


(f31 + f35 + f36)/(T35 + T36 − R362 + R352)
−2.52


(f31 − f36)/(T35 + T36 − R362 + R352)
−2.90


F3 × ((f31 − f36)/(T35 + T36 − R362 + R352))
−5.07









By the above arrangements of the lenses and stop ST3, the lens assembly 3 of the third embodiment can meet the requirements of optical performance as seen in FIGS. 6A-6C, wherein FIG. 6A shows a field curvature diagram of the lens assembly 3 in accordance with the third embodiment of the invention, FIG. 6B shows a distortion diagram of the lens assembly 3 in accordance with the third embodiment of the invention, and FIG. 6C shows a modulation transfer function diagram of the lens assembly 3 in accordance with the third embodiment of the invention.


It can be seen from FIG. 6A that the field curvature of tangential direction and sagittal direction in the lens assembly 3 of the third embodiment ranges from −0.05 mm to 0.06 mm for the wavelength of 0.470 μm, 0.510 μm, 0.550 μm, 0.610 μm, and 0.650 μm.


It can be seen from FIG. 6B that the distortion in the lens assembly 3 of the third embodiment ranges from −0.1% to 1.4% for the wavelength of 0.470 μm, 0.510 μm, 0.550 μm, 0.610 μm, and 0.650 μm.


It can be seen from FIG. 6C that the modulation transfer function of tangential direction and sagittal direction in the lens assembly 3 of the third embodiment ranges from 0.05 to 1.0 wherein the wavelength ranges from 0.4700 μm to 0.6500 μm, the fields respectively are 0.0000 mm, 1.4208 mm, 2.4864 mm, and 3.5520 mm, and the spatial frequency ranges from 0 lp/mm to 360 lp/mm.


It is obvious that the field curvature and the distortion of the lens assembly 3 of the third embodiment can be corrected effectively, and the resolution of the lens assembly 3 of the third embodiment can meet the requirement. Therefore, the lens assembly 3 of the third embodiment is capable of good optical performance.


Referring to FIG. 7, FIG. 7 is a lens layout diagram of a lens assembly in accordance with a fourth embodiment of the invention. The lens assembly 4 includes a first lens L41, a stop ST4, a second lens L42, a third lens L43, a fourth lens L44, a seventh lens L47, a fifth lens L45, a sixth lens L46, and an optical filter OF4, all of which are arranged in order from an object side to an image side along an optical axis OA4. In operation, an image of light rays from the object side is formed at an image plane IMA4.


The first lens L41 is a meniscus lens with positive refractive power, wherein the object side surface S41 is a convex surface, the image side surface S42 is a concave surface, and both of the object side surface S41 and image side surface S42 are aspheric surfaces.


The second lens L42 is a meniscus lens with positive refractive power, wherein the object side surface S44 is a convex surface, the image side surface S45 is a concave surface, and both of the object side surface S44 and image side surface S45 are aspheric surfaces.


The third lens L43 is a biconvex lens with positive refractive power, wherein the object side surface S46 is a convex surface, the image side surface S47 is a convex surface, and both of the object side surface S46 and image side surface S47 are aspheric surfaces.


The fourth lens L44 is a meniscus lens with negative refractive power, wherein the object side surface S48 is a convex surface, the image side surface S49 is a concave surface, and both of the object side surface S48 and image side surface S49 are aspheric surfaces.


The seventh lens L47 is a meniscus lens with negative refractive power, wherein the object side surface S410 is a concave surface, the image side surface S411 is a convex surface, and both of the object side surface S410 and image side surface S411 are aspheric surfaces.


The fifth lens L45 is a meniscus lens with positive refractive power, wherein the object side surface S412 is a concave surface, the image side surface S413 is a convex surface, and both of the object side surface S412 and image side surface S413 are aspheric surfaces.


The sixth lens L46 is a meniscus lens with negative refractive power, wherein the object side surface S414 is a convex surface, the image side surface S415 is a concave surface, and both of the object side surface S414 and image side surface S415 are aspheric surfaces.


Both of the object side surface S416 and image side surface S417 of the optical filter OF4 are plane surfaces.


In order to maintain excellent optical performance of the lens assembly in accordance with the fourth embodiment of the invention, the lens assembly 4 satisfies any one of the conditions (1)-(16), wherein the definition for all of the parameters in the fourth embodiment is the same as that of in the first embodiment, and is not described here again.


By the above design of the lenses, stop ST4, and satisfies any one of the conditions (1)-(16), the lens assembly 4 is provided with an effective shortened total lens length, an effective decreased F-number, an effective decreased weight, an effective increased resolution, an effective corrected chromatic aberration, and an effective corrected aberration.


In order to achieve the above purposes and effectively enhance the optical performance, the lens assembly 4 in accordance with the fourth embodiment of the invention is provided with the optical specifications shown in Table 10, which include the effective focal length, F-number, total lens length, field of view, radius of curvature of each lens surface, thickness between adjacent surface, refractive index of each lens, and Abbe number of each lens.









TABLE 10







Effective Focal Length = 3.732 mm F-number = 1.9


Total Lens Length = 5.0 mm Field of View = 82.87 Degrees













Radius of






Surface
Curvature
Thickness





Number
(mm)
(mm)
Nd
Vd
Remark















S41
1.828298
0.429146
1.543915
55.9512
The First Lens L41


S42
2.862541
0.132939





S43

0.08176


Stop ST4


S44
82.93174
0.290062
1.66059
20.40123
The Second Lens L42


S45
100.0057
0.051148





S46
9.245604
0.415985
1.864
40.58
The Third Lens L43


S47
−4.37481
0.049784





S48
20.99349
0.325851
1.66059
20.40123
The Fourth Lens L44


S49
2.850964
0.459781





S410
−4.34185
0.316623
1.66059
20.40123
The Seventh Lens L47


S411
−5.18461
0.144665





S412
−61.8552
0.395644
1.543915
55.9512
The Fifth Lens L45


S413
−2.59318
0.148724





S414
2.45241
0.562959
1.543915
55.9512
The Sixth Lens L46


S415
1.192595
0.8





S416

0.11
1.5168
64.16734
Optical Filter OF4


S417

0.287396









The definition of aspheric surface sag z of each lens in table 10 is the same as that of in Table 1.


In the fourth embodiment, the conic constant k and the aspheric coefficients A, B, C, D, E, F, G of each surface are shown in Table 11, and the other aspheric coefficients H, I, J, K, L, M are equal to 0.














TABLE 11





Surface

A
B
C



Number
k
E
F
G
D




















S41
0
−0.036124422
0.012481307
−0.082596275
0.049378221




−0.00152576
−0.031294542
0.010931793



S42
0
−0.027829859
−0.078947051
0.045755646
−0.11688576




0.067139152
−0.03150198
0.024248931



S44
0
−0.024314118
−0.042671431
0.027690975
−0.006251157




−0.079907848
0.085817312
−0.02312828



S45
−10.4304
−0.013759313
−0.036730692
0.026927291
−0.000243194




−0.069887839
0.089738933
−0.041250398



S46
0
−0.005554983
−0.052178344
0.019538705
−0.00100331




−0.064586294
0.097423313
−0.036638057



S47
0
−0.11570724
0.076607421
−0.035328191
−0.001716418




0.009216342
0.005642058
−0.001976596



S48
0
−0.22502099
0.12637609
0.029755882
−0.042521426




−0.020900953
0.034586066
−0.01574619



S49
−0.09465
−0.095030683
0.03168583
0.02592588
−0.041753785




0.026431248
−0.011950914
0.002514189



S410
−17.0307
0.05766283
−0.039762523
0.010101785
0.000872927




0.001444966
−9.24E−04
−0.000102293



S411
0
−0.007254032
−0.015455188
0.003040548
0.003051536




    1.61E−03
−1.15E−03
0.000130511



S412
0
0.084006889
−0.055305303
0.004150345
0.002290572




−0.000643663
  4.95E−05
  4.55E−06



S413
−7.854
0.17312044
−0.051444905
−0.003801731
0.005067177




  −7.49E−04
−3.79E−05
  1.15E−05



S414
0
−0.15254392
0.043111521
−0.00463619
7.8769E−05




−3.70621E−06
  3.58E−06
−2.06E−07



S415
0
−0.071749208
0.020513147
−0.003944948
0.000346365




    2.05E−06
−2.44E−06
  1.12E−07










Table 12 shows the parameters and condition values for conditions (1)-(16) in accordance with the fourth embodiment of the invention. As can be seen from Table 12, the lens assembly 4 of the fourth embodiment satisfies the conditions (1)-(16).














TABLE 12







f41
 8.0883 mm
f45
   4.9484 mm
f46
 −5.5012 mm


f4234
  9.168 mm
f4
    3.732 mm
R411
  1.828298 mm


R412
2.862541 mm
R421
  82.93174 mm
R422
  100.0057 mm


R431
9.245604 mm
R452
 −2.59318 mm
R462
  1.192595 mm


D41
  1.964 mm
AAG4
  1.068801 mm
F4
1.9


T41
0.429146 mm
T42
  0.290062 mm
T45
  0.395644 mm


T46
0.562959 mm
G45
  0.148724 mm
TTL4
     5 mm


D41/T46
3.49
f4/D41
1.90










f4 × ((f41 − f46)/(T45 + T46 − R462 + R452))
  −17.94 mm


|f4 × (R421 + R422)/(R421 − R422)|
    39.99 mm


|AAG4 × (R421 + R422)/(R421 − R422)|
    11.45 mm


|F4 × (R421 + R422 )/(R421 − R422)|
20.36


(R452 + R462) × (R431/f41)
  −1.60 mm


(f41 × f46)/(T41 + T42 + T46)
  −34.70 mm


(f41 − f46)/((T45 + T46)/G45)
     2.11 mm


(R411 + R412 + R452 + R462) × ((T45 + T46)/G45)
    21.21 mm


(R411 + R412)/(R452 − R462)
−1.24


TTL4/(R462 − R452)
1.32


(f41 + f45 + f46)/(T45 + T46 − R462 + R452)
−2.67


(f41 − f46)/(T45 + T46 − R462 + R452)
−4.81


F4 × ((f41 − f46)/(T45 + T46 − R462 + R452))
−9.13









By the above arrangements of the lenses and stop ST4, the lens assembly 4 of the fourth embodiment can meet the requirements of optical performance as seen in FIGS. 8A-8C, wherein FIG. 8A shows a field curvature diagram of the lens assembly 4 in accordance with the fourth embodiment of the invention, FIG. 8B shows a distortion diagram of the lens assembly 4 in accordance with the fourth embodiment of the invention, and FIG. 8C shows a modulation transfer function diagram of the lens assembly 4 in accordance with the fourth embodiment of the invention.


It can be seen from FIG. 8A that the field curvature of tangential direction and sagittal direction in the lens assembly 4 of the fourth embodiment ranges from −0.03 mm to 0.07 mm for the wavelength of 0.460 μm, 0.510 μm, 0.555 μm, 0.610 μm, and 0.650 μm.


It can be seen from FIG. 8B that the distortion in the lens assembly 4 of the fourth embodiment ranges from 0.0% to 2.1% for the wavelength of 0.460 μm, 0.510 μm, 0.555 μm, 0.610 μm, and 0.650 μm.


It can be seen from FIG. 8C that the modulation transfer function of tangential direction and sagittal direction in the lens assembly 4 of the fourth embodiment ranges from 0.01 to 1.0 wherein the wavelength ranges from 0.4600 μm to 0.6500 μm, the fields respectively are 0.0000 mm, 1.3040 mm, 2.2820 mm, and 3.2600 mm, and the spatial frequency ranges from 0 lp/mm to 360 lp/mm.


It is obvious that the field curvature and the distortion of the lens assembly 4 of the fourth embodiment can be corrected effectively, and the resolution of the lens assembly 4 of the fourth embodiment can meet the requirement. Therefore, the lens assembly 4 of the fourth embodiment is capable of good optical performance.


Referring to FIG. 9, FIG. 9 is a lens layout diagram of a lens assembly in accordance with a fifth embodiment of the invention. The lens assembly 5 includes a stop ST5, a first lens L51, a second lens L52, a third lens L53, a fourth lens L54, a fifth lens L55, a sixth lens L56, and an optical filter OF5, all of which are arranged in order from an object side to an image side along an optical axis OA5. In operation, an image of light rays from the object side is formed at an image plane IMA5.


The first lens L51 is a meniscus lens with positive refractive power, wherein the object side surface S52 is a convex surface, the image side surface S53 is a concave surface, and both of the object side surface S52 and image side surface S53 are aspheric surfaces.


The second lens L52 is a meniscus lens with negative refractive power, wherein the object side surface S54 is a convex surface, the image side surface S55 is a concave surface, and both of the object side surface S54 and image side surface S55 are aspheric surfaces.


The third lens L53 is a biconvex lens with positive refractive power, wherein the object side surface S56 is a convex surface, the image side surface S57 is a convex surface, and both of the object side surface S56 and image side surface S57 are aspheric surfaces.


The fourth lens L54 is a biconcave lens with negative refractive power, wherein the object side surface S58 is a concave surface, the image side surface S59 is a concave surface, and both of the object side surface S58 and image side surface S59 are aspheric surfaces.


The fifth lens L55 is a meniscus lens with positive refractive power, wherein the object side surface S510 is a concave surface, the image side surface S511 is a convex surface, and both of the object side surface S510 and image side surface S511 are aspheric surfaces.


The sixth lens L56 is a biconcave lens with negative refractive power, wherein the object side surface S512 is a concave surface, the image side surface S513 is a concave surface, and both of the object side surface S512 and image side surface S513 are aspheric surfaces.


Both of the object side surface S514 and image side surface S515 of the optical filter OF5 are plane surfaces.


In order to maintain excellent optical performance of the lens assembly in accordance with the fifth embodiment of the invention, the lens assembly 5 satisfies any one of the conditions (1)-(5) and (7)-(16), wherein the definition for all of the parameters in the fifth embodiment is the same as that of in the first embodiment, and is not described here again.


By the above design of the lenses, stop ST5, and satisfies any one of the conditions (1)-(5) and (7)-(16), the lens assembly 5 is provided with an effective shortened total lens length, an effective decreased F-number, an effective decreased weight, an effective increased resolution, an effective corrected chromatic aberration, and an effective corrected aberration.


In order to achieve the above purposes and effectively enhance the optical performance, the lens assembly 5 in accordance with the fifth embodiment of the invention is provided with the optical specifications shown in Table 13, which include the effective focal length, F-number, total lens length, field of view, radius of curvature of each lens surface, thickness between adjacent surface, refractive index of each lens, and Abbe number of each lens.









TABLE 13







Effective Focal Length = 4.23 mm F-number = 1.65


Total Lens Length = 4.99 mm Field of View = 82.8 Degrees












Radius of















Surface
Curvature
Thickness





Number
(mm)
(mm)
Nd
Vd
Remark















S51

−0.57181


Stop STS


S52
1.750584
0.697334
1.58999
67.81
The First Lens L51


S53
3.672437
0.099595





S54
3.170552
0.25218
1.66059
20.40123
The Second Lens L52


S55
2.681956
0.292644





S56
37.442
0.483343
1.543915
55.9512
The Third Lens L53


S57
−9.90774
0.258498





S58
−12.1396
0.234066
1.66059
20.40123
The Fourth Lens L54


S59
64.56854
0.277409





S510
−16.4861
0.702394
1.543915
55.9512
The Fifth Lens L55


S511
−1.3491
0.314822





S512
−9.90673
0.408698
1.543915
55.9512
The Sixth Lens L56


S513
1.353292
0.65





S514

0.11
1.5168
64.16734
Optical Filter OF5


S515

0.216634









The definition of aspheric surface sag z of each lens in table 13 is the same as that of in Table 1.


In the fifth embodiment, the conic constant k and the aspheric coefficients A, B, C, D, E, F, G, J, K, L of each surface are shown in Table 14, and the other aspheric coefficients H, I, M are equal to 0.














TABLE 14







A
B
C



Surface

E
F
G



Number
k
J
K
L
D




















S52
−0.00138
0.000547397
  6.41E−03
  −3.55E−03
4.92E−03




−4.54E−03
  2.64E−03
−0.000510926





0
0
0



S53
−9.52848
−0.046487266
0.021649752
0.02353237
−0.029161732




0.007656058
0.003714658
−0.001656847





0
0
0



S54
−22.3466
−0.048874504
0.02460491
0.04515919
−0.038395071




0.009454114
−0.000180934
0.000910342





0.002340264
−0.017387152
0.003101524



S55
−0.62953
−0.04926931
−0.052808055
0.10701683
−0.028077459




−0.073357332
0.072281918
−0.016145958





−0.011340252
0.051126173
−0.001097347



S56
−13937.8
−0.064604326
−0.13076309
0.12330523
−0.14101957




0.03402293
0.042728722
−0.02951469





0.014707298
0.070815302
−0.001610433



S57
69.22626
0.088085257
  7.72E−01
−0.7152203
4.98E−01




−0.17288526
  4.25E−04
    1.38E−02





−1.55E−02
−5.70E−01
    9.99E−03



S58
85.33349
0.32008127
  1.85E+00
−1.1001417
5.21E−01




−0.10800028
  1.77E−02
  −7.59E−03





−3.91E−02
−1.61E+00
    1.22E−02



S59
−10
0.22967482
1.0771341
−0.47745012
0.18097404




−0.024535034
−0.002712774
0.000485695





−0.038854174
−1.0804303
0.003278037



S510
111.1392
0.35194806
0.72187496
−0.36180154
0.20223762




−0.070224737
  1.10E−02
−0.000201741





−0.043286483
−0.85927677
−0.002467159



S511
−0.53404
0.33855424
0.14219959
0.009195001
−0.026731123




1.77E−02
−4.79E−03
0.000465429





−0.037244636
−0.36744085
−0.000578835



S512
−679.587
−0.51369736
−0.14906951
0.022876746
−0.005535932




0.000823181
−6.45E−05
    2.09E−06





0.038235912
0.44191222
−9.68253E−05



S513
−8.76502
−0.38789623
−0.11523462
0.007668864
−0.000456164




−2.88E−06
  2.42E−06
  −9.74E−08





0.089388226
0.33818595
−0.000135247










Table 15 shows the parameters and condition values for conditions (1)-(5) and (7)-(16) in accordance with the fifth embodiment of the invention. As can be seen from Table 15, the lens assembly 5 of the fifth embodiment satisfies the conditions (1)-(5) and (7)-(16).














TABLE 15







f51
 4.9826 mm
f55
   2.64923 mm
f56
 −2.1543 mm


f5234
39.2478 mm
f5
     4.23 mm
R511
  1.75058 mm


R512
3.67244 mm
R521
   3.17055 mm
R522
  2.68196 mm




R552
  −1.3491 mm
R562
  1.35329 mm


D51
 2.534 mm
AAG5
  1.242967 mm
F5
1.65


T51
0.69733 mm
T52
   0.25218 mm
T55
  0.70239 mm


T56
 0.4087 mm
G55
   0.31482 mm
TTL5
    4.99 mm


D51/T56
6.20
f5/D51
1.67










f5 × ((f51 − f56)/(T55 + T56 − R562 + R552))
 −18.97 mm


|f5 × (R521 + R522)/(R521 − R522)|
   50.67 mm


|AAG5 × (R521 + R522)/(R521 − R522)|
   14.89 mm


|F5 × (R521 + R522 )/(R521 − R522)|
19.76


(f51 × f56)/(T51 + T52 + T56)
  −7.90 mm


(f51 − f56)/((T55 + T56)/G55)
    2.02 mm


(R511 + R512 + R552 + R562) × ((T55 + T56)/G55)
   19.15 mm


(R511 + R512)/(R552 − R562)
−2.01


TTL5/(R562 − R552)
1.85


(f51 + f55 + f56)/(T55 + T56 − R562 + R552)
−3.44


(f51 − f56)/(T55 + T56 − R562 + R552)
−4.48


F5 × ((f51 − f56)/(T55 + T56 − R562 + R552))
−7.40









By the above arrangements of the lenses and stop ST5, the lens assembly 5 of the fifth embodiment can meet the requirements of optical performance as seen in FIGS. 10A-10C, wherein FIG. 10A shows a field curvature diagram of the lens assembly 5 in accordance with the fifth embodiment of the invention, FIG. 10B shows a distortion diagram of the lens assembly 5 in accordance with the fifth embodiment of the invention, and FIG. 10C shows a modulation transfer function diagram of the lens assembly 5 in accordance with the fifth embodiment of the invention.


It can be seen from FIG. 10A that the field curvature of tangential direction and sagittal direction in the lens assembly 5 of the fifth embodiment ranges from −0.2 mm to 0.2 mm for the wavelength of 0.470 μm, 0.510 μm, 0.555 μm, 0.610 μm, and 0.650 μm.


It can be seen from FIG. 10B (the five lines in the figure almost coincide to appear as if a signal line) that the distortion in the lens assembly 5 of the fifth embodiment ranges from 0.0% to 2.0% for the wavelength of 0.470 μm, 0.510 μm, 0.555 μm, 0.610 μm, and 0.650 μm.


It can be seen from FIG. 10C that the modulation transfer function of tangential direction and sagittal direction in the lens assembly 5 of the fifth embodiment ranges from 0.05 to 1.0 wherein the wavelength ranges from 0.4700 μm to 0.6500 μm, the fields respectively are 0.0000 mm, 0.3528 mm, 0.7056 mm, 1.4112 mm, 1.7640 mm, 2.4696 mm, 2.8224 mm, 3.5280 mm, and 3.7280 mm, and the spatial frequency ranges from 0 lp/mm to 357 lp/mm.


It is obvious that the field curvature and the distortion of the lens assembly 5 of the fifth embodiment can be corrected effectively, and the resolution of the lens assembly 5 of the fifth embodiment can meet the requirement. Therefore, the lens assembly 5 of the fifth embodiment is capable of good optical performance.


Referring to FIG. 11, FIG. 11 is a lens layout diagram of a lens assembly in accordance with a sixth embodiment of the invention. The lens assembly 6 includes a stop ST6, a first lens L61, a second lens L62, a third lens L63, a fourth lens L64, a fifth lens L65, a sixth lens L66, and an optical filter OF6, all of which are arranged in order from an object side to an image side along an optical axis OA6. In operation, an image of light rays from the object side is formed at an image plane IMA6.


The first lens L61 is a meniscus lens with positive refractive power, wherein the object side surface S62 is a convex surface, the image side surface S63 is a concave surface, and both of the object side surface S62 and image side surface S63 are aspheric surfaces.


The second lens L62 is a meniscus lens with positive refractive power, wherein the object side surface S64 is a concave surface, the image side surface S65 is a convex surface, and both of the object side surface S64 and image side surface S65 are aspheric surfaces.


The third lens L63 is a meniscus lens with negative refractive power, wherein the object side surface S66 is a concave surface, the image side surface S67 is a convex surface, and both of the object side surface S66 and image side surface S67 are aspheric surfaces.


The fourth lens L64 is a meniscus lens with positive refractive power, wherein the object side surface S68 is a concave surface, the image side surface S69 is a convex surface, and both of the object side surface S68 and image side surface S69 are aspheric surfaces.


The fifth lens L65 is a meniscus lens with positive refractive power, wherein the object side surface S610 is a concave surface, the image side surface S611 is a convex surface, and both of the object side surface S610 and image side surface S611 are aspheric surfaces.


The sixth lens L66 is a meniscus lens with negative refractive power, wherein the object side surface S612 is a convex surface, the image side surface S613 is a concave surface, and both of the object side surface S612 and image side surface S613 are aspheric surfaces.


Both of the object side surface S614 and image side surface S615 of the optical filter OF6 are plane surfaces.


In order to maintain excellent optical performance of the lens assembly in accordance with the sixth embodiment of the invention, the lens assembly 6 satisfies any one of the conditions (1)-(2) and (7)-(16), wherein the definition for all of the parameters in the sixth embodiment is the same as that of in the first embodiment, and is not described here again.


By the above design of the lenses, stop ST6, and satisfies any one of the conditions (1)-(2) and (7)-(16), the lens assembly 6 is provided with an effective shortened total lens length, an effective decreased F-number, an effective decreased weight, an effective increased resolution, an effective corrected chromatic aberration, and an effective corrected aberration.


In order to achieve the above purposes and effectively enhance the optical performance, the lens assembly 6 in accordance with the sixth embodiment of the invention is provided with the optical specifications shown in Table 16, which include the effective focal length, F-number, total lens length, field of view, radius of curvature of each lens surface, thickness between adjacent surface, refractive index of each lens, and Abbe number of each lens.









TABLE 16







Effective Focal Length = 4.17 mm F-number = 2.0


Total Lens Length = 4.98 mm Field of View = 83.6 Degrees













Radius of






Surface
Curvature
Thickness





Number
(mm)
(mm)
Nd
Vd
Remark















S61

−0.30797


Stop ST6


S62
1.807819
0.606708
1.610351
57.92815
The First Lens L61


S63
5.957258
0.312381





S64
−9.09745
0.394916
1.544100
56.0936
The Second Lens L62


S65
−2.39484
0.076994





S66
−2.59999
0.383669
1.642830
22.43732
The Third Lens L63


S67
−12.9391
0.357447





S68
−8.02933
0.530706
1.544100
56.0936
The Fourth Lens L64


S69
−3.44785
0.104478





S610
−10.1302
0.50696
1.642830
22.43732
The Fifth Lens L65


S611
−5.14542
0.170237





S612
2.810076
0.49415
1.544100
56.0936
The Sixth Lens L66


S613
1.139288
0.92





S614

0.11
1.516800
64.16734
Optical Filter OF6


S615

0.015334









The definition of aspheric surface sag z of each lens in table 16 is the same as that of in Table 1.


In the sixth embodiment, the conic constant k and the aspheric coefficients A, B, C, D, E, F, G of each surface are shown in Table 17, and the other aspheric coefficients H, I, J, K, L, M are equal to 0.














TABLE 17





Surface

A
B
C
D


Number
k
E
F
G




















S62
0.30657
−0.00513074
−0.015803818
0.007198297
−0.007591283




−0.001588744
−0.000115824
−0.002172294



S63
0
−0.01381087
−0.0126376
−0.009364532
−0.009106053




−0.0049889
−0.002298279
0.005959455



S64
0
−0.015015139
−0.010867672
−0.032309626
0.001894107




0.004600697
0.001623895
−0.002559166



S65
0
0.03009948
−0.097592115
0.056449743
−0.024233896




−0.001042755
0.000328439
−0.001196807



S66
0
−0.04038323
−0.079606036
0.10082029
−0.022806028




−0.014231278
−0.000525263
0.001649621



S67
0
−0.057621011
−0.017195312
0.049807788
−0.011423448




0.001218668
−0.003207762
0.003173573
0.001218668


S68
−54.6299
0.01569255
−0.063632683
0.000895301
0.011770605




−0.004407208
0.000160786
−0.000807658



S69
−22.1618
0.022110213
−0.042752003
0.004983064
0.007943534




−0.00590646
0.001441162
−0.000105878



S610
−3142.47
0.025417812
−0.046544844
0.006546563
0.007745812




−0.005848673
0.001282659
−6.05981E−05



S611
−56.1747
0.027601957
−0.02610412
0.003446583
0.000460477




−0.0003743
  5.48761E−05
  3.70804E−07



S612
−94.9083
−0.11416688
0.030570992
−0.004324753
−0.000468362




0.000155697
  1.43475E−05
−3.43852E−06



S613
−7.68256
−0.052905843
0.010927835
−0.001524103
3.03716E−05




1.86915E−05
−2.50491E−06
  9.79937E−08










Table 18 shows the parameters and condition values for conditions (1)-(2) and (7)-(16) in accordance with the sixth embodiment of the invention. As can be seen from Table 18, the lens assembly 6 of the sixth embodiment satisfies the conditions (1)-(2) and (7)-(16).














TABLE 18







f61
 4.012 mm
f65
   15.479 mm
f66
 −3.9154 mm


f6234
 14.086 mm
f6
    4.17 mm
R611
  1.80782 mm


R612
5.95726 mm








R652
−5.14542 mm
R662
  1.13929 mm


D61
 2.083 mm


F6
2


T61
0.60671 mm
T62
  0.39492 mm
T65
  0.50696 mm


T66
0.49415 mm
G65
  0.17024 mm
TTL6
    4.98 mm


D61/T66
4.22
f6/D61
2.0019203










f6 × ((f61 − f66)/(T65 + T66 − R662 + R652))
  −6.26 mm


(f61 × f66)/(T61 + T62 + T66)
 −10.50 mm


(f61 − f66)/((T65 + T66)/G65)
    1.35 mm


(R611 + R612 + R652 + R662) × ((T65 + T66)/G65)
   22.10 mm


(R611 + R612)/(R652 − R662)
−1.24


TTL6/(R662 − R652)
0.79


(f61 + f65 + f66)/(T65 + T66 − R662 + R652)
−2.95


(f61 − f66)/(T65 + T66 − R662 + R652)
−1.50


F6 × ((f61 − f66)/(T65 + T66 − R662 + R652))
−3.0008









By the above arrangements of the lenses and stop ST6, the lens assembly 6 of the sixth embodiment can meet the requirements of optical performance as seen in FIGS. 12A-12C, wherein FIG. 12A shows a field curvature diagram of the lens assembly 6 in accordance with the sixth embodiment of the invention, FIG. 12B shows a distortion diagram of the lens assembly 6 in accordance with the sixth embodiment of the invention, and FIG. 12C shows a modulation transfer function diagram of the lens assembly 6 in accordance with the sixth embodiment of the invention.


It can be seen from FIG. 12A that the field curvature of tangential direction and sagittal direction in the lens assembly 6 of the sixth embodiment ranges from −0.2 mm to 0.2 mm for the wavelength of 0.436 μm, 0.486 μm, 0.546 μm, 0.588 μm, and 0.656 μm.


It can be seen from FIG. 12B that the distortion in the lens assembly 6 of the sixth embodiment ranges from −0.5% to 2.0% for the wavelength of 0.470 μm, 0.510 μm, 0.555 μm, 0.610 μm, and 0.650 μm.


It can be seen from FIG. 12C that the modulation transfer function of tangential direction and sagittal direction in the lens assembly 6 of the sixth embodiment ranges from 0.0 to 1.0 wherein the wavelength ranges from 0.470 μm to 0.650 μm, the fields respectively are 0.0000 mm, 0.3528 mm, 0.7056 mm, 1.4112 mm, 1.7640 mm, 2.4696 mm, 2.8224 mm, 3.5280 mm, and 3.7280 mm, and the spatial frequency ranges from 0 lp/mm to 357 lp/mm.


It is obvious that the field curvature and the distortion of the lens assembly 6 of the sixth embodiment can be corrected effectively, and the resolution of the lens assembly 6 of the sixth embodiment can meet the requirement. Therefore, the lens assembly 6 of the sixth embodiment is capable of good optical performance.


Referring to Table 19 and Table 20, Table 19 provides optical specifications in accordance with a seventh embodiment of the invention and Table 20 provides aspheric coefficients of each surface in Table 19.


The figure which depicts the lens layout diagram of the lens assembly in accordance with the seventh embodiment of the invention approximates to the figure which depicts the lens layout diagram of the lens assembly in accordance with the fifth embodiment of the invention, thus the figure which depicts the lens layout diagram of the lens assembly in accordance with the seventh embodiment of the invention is omitted.









TABLE 19







Effective Focal Length = 4.236 mm F-number = 1.65


Total Lens Length = 4.99 mm Field of View = 78.3 Degrees













Radius of






Surface
Curvature
Thickness





Number
(mm)
(mm)
Nd
Vd
Remark















S71

−0.62774


Stop ST7


S72
1.627722
0.756657
1.535218
56.11525
The First Lens L71


S73
4.080465
0.079865





S74
2.84657
0.278
2.001780
19.32
The Second Lens L72


S75
2.32436
0.262752





S76
12.66065
0.456
1.535218
56.11525
The Third Lens L73


S77
−13.7164
0.271033





S78
−16.9747
0.26
1.660590
20.40123
The Fourth Lens L74


S79
45.60124
0.253792





S710
−15.716
0.746372
1.535218
56.11525
The Fifth Lens L75


S711
−1.27719
0.243613





S712
−4.04454
0.42
1.535218
56.11525
The Sixth Lens L76


S713
1.447312
0.66





S714

0.11
1.516800
64.16734
Optical Filter OF7


S715

0.2









The definition of aspheric surface sag z of each lens in table 19 is the same as that of in Table 1.


In the seventh embodiment, the conic constant k and the aspheric coefficients A, B, C, D, E, F, G, J, K, L, M of each surface are shown in Table 20, and the other aspheric coefficients H, I are equal to 0.














TABLE 20







A
B
C
D


Surface

E
F
G



Number
k
J
K
L
M




















S72
0.045146
−0.001569882
0.005059525
−0.003807359
0.004122281




−0.004431468
0.002447748
−0.000372474





0
0
0
0


S73
−34.1485
−0.036791979
0.02809305
0.019252996
−0.031233713




0.008643353
0.006433429
−0.003273164





0
0
0
0


S74
−14.6507
−0.024625861
0.016103755
0.03079941
−0.035532323




0.015463873
0.001886283
−0.002920977





−0.002103206
−0.000349992
−4.40757E−05
0.000211429


S75
−0.19035
−0.050451903
−0.045852747
0.10211304
−0.047855933




−0.069401894
0.11136868
−0.040003986





0.001376548
0.051366519
0.00171169
0.00176841


S76
−403.065
−0.005121224
−0.15622378
0.14446055
−0.11913877




0.024156877
0.028524947
−0.016120786





−0.000978432
0.072361387
−0.002929743
−0.001354302


S77
126.0288
0.052475173
0.76707276
−0.72689625
0.52789726




−0.1783558
−0.021199159
0.023001029





0.016271979
−0.52341481
−0.001905314
−0.00117235


S78
185.7491
0.30766901
1.8521714
−1.1223837
0.53721312




−0.11502471
0.003387359
0.001105185





−0.006793819
−1.5850335
0.001695278
−0.000156364


S79
−69415.9
0.20121037
1.1009653
−0.49766536
0.17708524




−0.021759738
−0.00071026
−0.000320373





−0.005710663
−1.0712677
0.000150137
0.000401518


S710
41.00672
0.29593521
0.74623072
−0.36665154
0.20164721




−0.070891674
0.011250418
−0.000151578





−0.03205605
−0.8706028
−0.000588227
0.000452395


S711
−0.58978
0.32405263
0.14924314
0.017127488
−0.026966213




0.017318853
−0.004963155
0.000511527





−0.013334893
−0.39343155
−0.000483399
−1.03817E−05


S712
−142.06
−0.53466278
−0.14520916
0.022213654
−0.005777113




0.00083304
 −5.6926E−05
  1.40262E−06





0.01945302
0.45974015
−5.17069E−05
  2.50547E−06


S713
−7.72616
−0.32836017
−0.11800884
0.008505493
−0.00050586




−1.02677E−05
  3.47615E−06
−1.19786E−07





0.032162248
0.32168198
  3.24297E−05
−4.57375E−06









In order to maintain excellent optical performance of the lens assembly in accordance with the seventh embodiment of the invention, the lens assembly 7 satisfies any one of the conditions (1)-(5) and (7)-(16), wherein the definition for all of the parameters in the seventh embodiment is the same as that of in the first embodiment, and is not described here again.


By the above design of the lenses, stop ST7, and satisfies any one of the conditions (1)-(5) and (7)-(16), the lens assembly 7 is provided with an effective shortened total lens length, an effective decreased F-number, an effective decreased weight, an effective increased resolution, an effective corrected chromatic aberration, and an effective corrected aberration.


Table 21 shows the parameters and condition values for conditions (1)-(5) and (7)-(16) in accordance with the seventh embodiment of the invention. As can be seen from Table 21, the lens assembly 7 of the seventh embodiment satisfies the conditions (1)-(5) and (7)-(16).

















TABLE 21







f71
4.5525
mm
f75
2.54305
mm
f76
−1.93341
mm


f7234
−31.7432
mm
f7
4.236
mm
R711
1.62772
mm


R712
4.08047
mm
R721
2.84657
mm
R722
2.32436
mm





R752
−1.27719
mm
R762
1.44731
mm














D71
2.538
mm
AAG7
1.1110566
mm
F7
1.65















T71
0.75666
mm
T72
0.278
mm
T75
0.74637
mm


T76
0.42
mm
G75
0.24361
mm
TTL7
4.99
mm













D71/T76
6.04
f7/D71
1.67












f7 × ((f71 − f76)/(T75 + T76 − R762 + R752))
−17.633
mm


|f7 × (R721 + R722)/(R721 − R722)|
41.94
mm


|AAG7 × (R721 + R722)/(R721 − R722)|
11.00
mm








|F7 × (R721 + R722)/(R721 − R722)|
16.34









(f71 × f76)/(T71 + T72 + T76)
−6.05
mm


(f71 − f76)/((T75 + T76)/G75)
1.355
mm


(R711 + R712 + R752 + R762) × ((T75 + T76)/G75)
28.145
mm








(R711 + R712)/(R752 − R762)
−2.095


TTL7/(R762 − R752)
1.84


(f71 + f75 + f76)/(T75 + T76 − R762 + R752)
−3.313


(f71 − f76)/(T75 + T76 − R762 + R752)
−4.163


F7 × ((f71 − f76)/(T75 + T76 − R762 + R752))
−6.868









The above field curvature (figure is omitted) and distortion (figure is omitted) for the seventh embodiment of the lens assembly can be corrected effectively, and the resolution for the seventh embodiment of the lens assembly can meet the requirement. Therefore, the lens assembly of the seventh embodiment is capable of good optical performance.


Referring to Table 22 and Table 23, Table 22 provides optical specifications in accordance with an eighth embodiment of the invention and Table 23 provides aspheric coefficients of each surface in Table 22.


The refractive power of each lens for the lens assembly in accordance with the eighth embodiment of the invention is the same as the refractive power of each lens for the lens assembly in accordance with the first embodiment of the invention, thus the figure which depicts the lens layout diagram of the lens assembly in accordance with the eighth embodiment of the invention is omitted. The difference between the eighth embodiment of the lens assembly and the first embodiment of the lens assembly is that the image side surface of the third lens is a convex surface and the object side surface of the sixth lens is a concave surface for the eighth embodiment of the lens assembly, however, the image side surface of the third lens is a concave surface and the object side surface of the sixth lens is a convex surface for the first embodiment of the lens assembly.









TABLE 22







Effective Focal Length = 4.234 mm F-number = 1.65


Total Lens Length = 5.03 mm Field of View = 78.2 Degrees













Radius of






Surface
Curvature
Thickness





Number
(mm)
(mm)
Nd
Vd
Remark















S81

−0.58603


Stop ST8


S82
1.716609
0.793083
1.535218
56.11525
The First Lens L81


S83
9.444403
0.015072





S84
3.58435
0.2278
2.001780
19.32
The Second Lens L82


S85
2.363694
0.370055





S86
71.7662
0.389261
1.535218
56.11525
The Third Lens L83


S87
−30.1144
0.204263





S88
4.552548
0.222574
1.660590
20.40123
The Fourth Lens L84


S89
4.944316
0.39148





S810
−35.4559
0.625013
1.535218
56.11525
The Fifth Lens L85


S811
−1.58152
0.428692





S812
−4.50528
0.393613
1.535218
56.11525
The Sixth Lens L86


S813
1.720188
0.56





S814

0.11
1.516798
64.19826
Optical Filter OF8


S815

0.3









The definition of aspheric surface sag z of each lens in table 22 is the same as that of in Table 1.


In the eighth embodiment, the conic constant k and the aspheric coefficients A, B, C, D, E, F, G, J, K of each surface are shown in Table 23, and the other aspheric coefficients H, I, L, M are equal to 0.














TABLE 23







A
B
C
D


Surface

E
F
G



Number
k
J
K




















S82
0.040265
0.002065124
0.002023989
−7.49847E−05
0.000784326




−0.000549711
−0.000133617
0.00026632





0
0




S83
−6.70708
0.001221764
−0.010551014
0.017970315
−0.009960723




0.001563423
0.00307863
−0.001644655





0
0




S84
−2.80906
−0.016948053
−0.002607381
0.014187929
−0.004561274




0.003280275
−0.00031708
−0.000836915





−1.25435E−06
  7.56484E−07




S85
0.088508
−0.056508132
−0.088124235
0.054521758
−0.003913967




−0.00752146
0.000381412
0.004342868





0.009251782
0.10026269




S86
−217.01
−0.25097945
−0.47889133
0.207985
−0.11095735




0.024649163
−0.002149693
−0.005110856





0.035572397
0.48763936




S87
−74.2734
0.17580464
1.1748142
−0.89567073
0.53973924




−0.15881392
−0.000366384
0.005644253





−0.043663729
−0.93001553




S88
3.120861
0.38317809
2.0242467
−1.1605626
0.5499743




−0.11198235
−0.002149646
0.001883351





−0.10148793
−1.7797541




S89
−136.438
0.37911375
1.2097693
−0.50087467
0.17882263




−0.029188729
0.001713331
−0.000334046





−0.060965579
−1.2859398




S810
34.81258
0.42519741
0.79699066
−0.3648293
0.19306706




−0.071391364
0.014466521
−0.001122919





−0.090325561
−0.96698499




S811
−0.42132
0.29756349
0.16768515
0.002595709
−0.026979226




0.018455753
−0.005029961
0.000481209





−0.058711525
−0.37027444




S812
1.951797
−0.54801936
−0.15711312
0.02396086
−0.005677139




0.000840773
−6.98552E−05
  2.69762E−06





0.085122837
0.47026664




S813
−11.9529
−0.38834641
−0.1232843
0.009361805
−0.000649345




 −1.1217E−05
  5.88554E−06
−2.76004E−07





0.091392596
0.34619333











In order to maintain excellent optical performance of the lens assembly in accordance with the eighth embodiment of the invention, the lens assembly 8 satisfies any one of the conditions (1)-(2) and (7)-(16), wherein the definition for all of the parameters in the eighth embodiment is the same as that of in the first embodiment, and is not described here again.


By the above design of the lenses, stop ST8, and satisfies any one of the conditions (1)-(2) and (7)-(16), the lens assembly 8 is provided with an effective shortened total lens length, an effective decreased F-number, an effective decreased weight, an effective increased resolution, an effective corrected chromatic aberration, and an effective corrected aberration.


Table 24 shows the parameters and condition values for conditions (1)-(2) and (7)-(16) in accordance with the eighth embodiment of the invention. As can be seen from Table 24, the lens assembly 8 of the eighth embodiment satisfies the conditions (1)-(2) and (7)-(16).

















TABLE 24







f81
3.7719
mm
f85
3.0631
mm
f86
−2.2683
mm


f8234
−10.8248
mm
f8
4.234
mm
R811
1.71661
mm


R812
9.4444
mm











R852
−1.58152
mm
R862
1.72019
mm














D81
2.537
mm



F8
  1.65















T81
0.79308
mm
T82
0.2278
mm
T85
0.62501
mm


T86
0.39361
mm
G85
0.42869
mm
TTL8
5.03
mm













D81/T86
6.45
f8/D81
1.67












f8 × ((f81 − f86)/(T85 + T86 − R862 + R852))
−11.20
mm


(f81 × f86)/(T81 + T82 + T86)
−6.05
mm


(f81 − f86)/((T85 + T86)/G85)
2.54
mm


(R811 + R812 + R852 + R862) × ((T85 + T86)/G85)
26.85
mm








(R811 + R812)/(R852 − R862)
−3.38


TTL8/R862 − R852)
  1.52


(f81 + f85 + f86)/(T85 + T86 − R862 + R852)
−2.00


(f81 − f86)/(T85 + T86 − R862 + R852)
−2.65


F8 × ((f81 − f86)/(T85 + T86 − R862 + R852))
−4.37









The above field curvature (figure is omitted) and distortion (figure is omitted) for the eighth embodiment of the lens assembly can be corrected effectively, and the resolution for the eighth embodiment of the lens assembly can meet the requirement. Therefore, the lens assembly of the eighth embodiment is capable of good optical performance.


Referring to FIG. 13, FIG. 13 is a lens layout diagram of a lens assembly in accordance with a ninth embodiment of the invention. The lens assembly 9 includes a stop ST9, a first lens L91, a second lens L92, a third lens L93, a fourth lens L94, a fifth lens L95, a sixth lens L96, a seventh lens L97, and an optical filter OF7, all of which are arranged in order from an object side to an image side along an optical axis OA9. In operation, an image of light rays from the object side is formed at an image plane IMA9.


The first lens L91 is a meniscus lens with positive refractive power, wherein the object side surface S92 is a convex surface, the image side surface S93 is a concave surface, and both of the object side surface S92 and image side surface S93 are aspheric surfaces.


The second lens L92 is a meniscus lens with negative refractive power, wherein the object side surface S94 is a convex surface, the image side surface S95 is a concave surface, and both of the object side surface S94 and image side surface S95 are aspheric surfaces.


The third lens L93 is a meniscus lens with positive refractive power, wherein the object side surface S96 is a convex surface, the image side surface S97 is a concave surface, and both of the object side surface S96 and image side surface S97 are aspheric surfaces.


The fourth lens L94 is a meniscus lens with negative refractive power, wherein the object side surface S98 is a convex surface, the image side surface S99 is a concave surface, and both of the object side surface S98 and image side surface S99 are aspheric surfaces.


The fifth lens L95 is a meniscus lens with positive refractive power, wherein the object side surface S910 is a concave surface, the image side surface S911 is a convex surface, and both of the object side surface S910 and image side surface S911 are aspheric surfaces.


The sixth lens L96 is a biconcave lens with negative refractive power, wherein the object side surface S912 is a concave surface, the image side surface S913 is a concave surface, and both of the object side surface S912 and image side surface S913 are aspheric surfaces and at least one of which includes at least one inflection point. About two-thirds of the object side surface appearance within the effective optical diameter range is close to plane and the object side surface appearance is concave between two-thirds of the effective optical diameter of the object side surface and the periphery of the object side surface. About one-half of the image side surface appearance within the effective optical diameter range is close to plane and the image side surface appearance is convex between one-half of the effective optical diameter of the image side surface and the periphery of the image side surface. The object side surface away from the optical axis bends toward to the object side and that near the optical axis approximates to plane almost without bending. In terms of thickness, the thickness variation is very small near the optical axis and that is larger at the periphery of the lens, resulting in a thinner thickness near the optical axis and a thicker thickness away from the optical axis. In this way, it is beneficial to shorten total lens length of the lens assembly, achieve miniaturization of the lens assembly, and reduce chromatic aberration and aberration.


The seventh lens L97 is a meniscus lens with negative refractive power, wherein the object side surface S914 is a convex surface, the image side surface S915 is a concave surface, and both of the object side surface S914 and image side surface S915 are aspheric surfaces.


Both of the object side surface S916 and image side surface S917 of the optical filter OF9 are plane surfaces.


The third lens L93 and the fifth lens L95 have positive refractive power at the same time, which can greatly shorten the total lens length of the lens assembly 9.


In order to maintain excellent optical performance of the lens assembly in accordance with the ninth embodiment of the invention, the lens assembly 9 satisfies any of the conditions (1)-(2), (4), (10), and (15), wherein the definition for all of the parameters in the ninth embodiment is the same as that of in the first embodiment, and is not described here again. The lens assembly 9 further satisfies any of the following conditions:

1<R971/R912<3  (17)
0.6<f9/(R971−R972)<1.5  (18)
2<(R971−R912)/T97<6  (19)
4.5 mm<TTL9/F9<6 mm  (20)
8<f91/T97<13  (21)
2<f93/f9<3.5  (22)
0<D91/TTL9<1  (23)
1.1<f9/D91<2.6  (24)


wherein f93 is an effective focal length of the third lens L93, R971 is a radius of curvature of the object side surface S914 of the seventh lens L97, R972 is a radius of curvature of the image side surface S915 of the seventh lens L97, T97 is a thickness of the seventh lens L97 along the optical axis OA9.


By the above design of the lenses, stop ST9, and satisfies any one of the conditions (1)-(2), (4), (10), (15), and (17)-(24), the lens assembly 9 is provided with an effective shortened total lens length, an effective decreased F-number, an effective decreased weight, an effective increased resolution, an effective corrected chromatic aberration, and an effective corrected aberration.


In order to achieve the above purposes and effectively enhance the optical performance, the lens assembly 9 in accordance with the ninth embodiment of the invention is provided with the optical specifications shown in Table 25, which include the effective focal length, F-number, total lens length, field of view, radius of curvature of each lens surface, thickness between adjacent surface, refractive index of each lens, and Abbe number of each lens.









TABLE 25







Effective Focal Length = 5.82 mm F-number = 1.45


Total Lens Length = 7.24 mm Field of View = 77 Degrees













Radius of






Surface
Curvature
Thickness





Number
(mm)
(mm)
Nd
Vd
Remark















S91

−0.89468


Stop ST9


S92
2.548033
1.142674
1.543915
55.9512
The First Lens L91


S93
5.671993
0.05957





S94
4.435673
0.299702
2.00178
19.31
The Second Lens L92


S95
3.620021
0.315661





S96
4.411847
0.442426
1.543915
55.9512
The Third Lens L93


S97
8.046168
0.458031





S98
339.3143
0.428616
1.671339
19.24289
The Fourth Lens L94


S99
92.44737
0.247879





S910
−6.01196
0.534379
1.543915
55.9512
The Fifth Lens L95


S911
−2.5979
0.099879





S912
−110.108
0.599483
1.671339
19.24289
The Sixth Lens L96


S913
43.43798
0.646262





S914
8.360571
0.84995
1.543915
55.9512
The Seventh Lens L97


S915
2.254038
0.9





S916

0.21
1.5168
64.16734
Optical Filter OF9


S917

0.014586









The definition of aspheric surface sag z of each lens in table 25 is the same as that of in Table 1.


In the ninth embodiment, the conic constant k and the aspheric coefficients A, B, C, D, E, F, G, H, I, K, L, M of each surface are shown in Table 26, and the other aspheric coefficient J is equal to 0.














TABLE 26







A
B
C
D


Surface

E
F
G
H


Number
k
I
K
L
M




















S92
−5.52499
0.039323179
  −7.52E−03
    1.70E−03
  −2.65E−04




    3.91E−05
  −1.04E−06
−1.34989E−06
    0.00E+00




0
0
0
0


S93
−45.5681
−0.024873111
0.023160294
−0.011192685
0.002668238




−0.000284515
  3.35805E−06
  7.30652E−07
    0.00E+00




0
0
0
0


S94
−14.6929
−0.033608695
0.029455766
−0.013826259
0.003292554




−0.000320985
  2.34042E−05
−3.34233E−06
0




0
0
0
0


S95
−2.52898
−0.021372901
0.019064769
−0.009470135
0.002641099




−0.000389222
  3.01269E−05
  1.11438E−05
0




0
−0.000316716
0.000107204
  2.64963E−05


S96
−1.30626
−0.010549213
0.005207476
−0.005767418
0.002530782




−0.001162473
0.000144167
  4.19645E−05
0




0
0.000997777
−0.000174671
−4.58837E−05


S97
4.082773
−0.010250232
    8.67E−04
−0.004298489
    2.41E−03




−0.001174554
    7.53E−05
    5.51E−05
0




0
  −9.97E−04
    1.33E−04
  −1.86E−04


S98
0
−0.042012974
    8.25E−04
−0.004316174
    2.19E−03




−0.001194599
    2.53E−04
  −1.51E−05
    0.00E+00




0
    8.31E−04
  −3.88E−04
    1.36E−06


S99
0
−0.045124497
0.002549972
0.000762709
−0.001708059




0.000853551
−0.0002402
  2.34585E−05
0




0
  4.84595E−05
−2.45494E−05
−9.17097E−05


S910
0.323397
−0.037981006
0.012587787
0.002721095
−0.003025213




0.00082934
  −1.09E−04
−4.12875E−07
0




0
0.000860719
0.000308703
−6.92851E−05


S911
0.019936
0.005611995
−0.002776985
0.002768808
−0.000614681




    6.40E−05
  −7.21E−06
  1.01741E−06
0




0
−0.001734409
−0.000257317
−1.13031E−05


S912
0
0.027766496
−0.022975382
0.006717991
−0.001782414




0.000251508
  −1.65E−05
    8.92E−07
    8.26E−09




−4.21046E−09
0.000184276
0.000513691
−1.85952E−05


S913
0
0.017843892
−0.007587542
0.000709963
−1.90421E−05




    3.10E−06
  −5.97E−07
    3.34E−08
    5.82E−11




−4.28209E−11
−0.00575294
−0.000486045
  2.87002E−05


S914
3.412529
−0.065958678
0.013350756
−0.001422734
0.000102102




−5.79225E−06
    2.34E−07
  −4.41E−09
    6.23E−12




−1.04464E−12
−0.014109141
0.000714353
−7.17272E−06


S915
−6.40586
−0.027407355
0.005207537
−0.000767479
   6.9475E−05




  −3.70E−06
    1.06E−07
  −1.25E−09
    1.06E−12




−1.18744E−13
−0.002577478
0.000256939
−1.82546E−06









Table 27 shows the parameters and condition values for conditions (1)-(2), (4), (10), (15), and (17)-(24) in accordance with the ninth embodiment of the invention. As can be seen from Table 27, the lens assembly 9 of the ninth embodiment satisfies the conditions (1)-(2), (4), (10), (15), and (17)-(24).

















TABLE 27







f91
7.5039
mm
f93
17.1521
mm
f96
−45.8287
mm


f9
5.82
mm
R912
5.671993
mm
R921
4.435673
mm


R922
3.620021
mm
R952
−2.5979
mm
R962
43.43798
mm


R971
8.360571
mm
R972
2.254038
mm
T95
0.534379
mm


T96
0.599483
mm
T97
0.84995
mm
TTL9
7.24
mm














F9
1.45
D91
3.986193
mm
AAG9
1.827282
mm















G95
0.099879
mm


















R971/R912
1.47
f9/(R971 − R972)
0.95
(R971 − R912)/T97
3.16













TTL9/F9
4.99
mm
f91/T97
8.83
f93/f9
2.95












D91/TTL9
0.55
f9/ D91
1.46
D91/T96
6.65









f9 × ((f91 − f96)/(T95 + T96 − R962 + R952))
−6.91
mm


|AAG9 × (R921 + R922)/(R921 − R922)|
18.05
mm


(f91 − f96)/((T95 + T96)/G95)
4.70
mm








(f91 − f96)/(T95 + T96 − R962 + R952)
−1.19  









By the above arrangements of the lenses and stop ST9, the lens assembly 9 of the ninth embodiment can meet the requirements of optical performance as seen in FIGS. 14A-14C, wherein FIG. 14A shows a field curvature diagram of the lens assembly 9 in accordance with the ninth embodiment of the invention, FIG. 14B shows a distortion diagram of the lens assembly 9 in accordance with the ninth embodiment of the invention, and FIG. 14C shows a modulation transfer function diagram of the lens assembly 9 in accordance with the ninth embodiment of the invention.


It can be seen from FIG. 14A that the field curvature of tangential direction and sagittal direction in the lens assembly 9 of the ninth embodiment ranges from −0.14 mm to 0.18 mm.


It can be seen from FIG. 14B (the five lines in the figure almost coincide to appear as if a signal line) that the distortion in the lens assembly 9 of the ninth embodiment ranges from 0% to 3%.


It can be seen from FIG. 14C that the modulation transfer function of tangential direction and sagittal direction in the lens assembly 9 of the ninth embodiment ranges from 0.04 to 1.0.


It is obvious that the field curvature and the distortion of the lens assembly 9 of the ninth embodiment can be corrected effectively, and the resolution of the lens assembly 9 of the ninth embodiment can meet the requirement. Therefore, the lens assembly 9 of the ninth embodiment is capable of good optical performance.


Referring to FIG. 15, FIG. 15 is a lens layout diagram of a lens assembly in accordance with a tenth embodiment of the invention. The lens assembly 10 includes a stop ST10, a first lens L101, a second lens L102, a third lens L103, a fourth lens L104, a fifth lens L105, a sixth lens L106, a seventh lens L107, and an optical filter OF10, all of which are arranged in order from an object side to an image side along an optical axis OA10. In operation, an image of light rays from the object side is formed at an image plane IMA10.


The first lens L101 is a meniscus lens with positive refractive power, wherein the object side surface S102 is a convex surface, the image side surface S103 is a concave surface, and both of the object side surface S102 and image side surface S103 are aspheric surfaces.


The second lens L102 is a meniscus lens with negative refractive power, wherein the object side surface S104 is a convex surface, the image side surface S105 is a concave surface, and both of the object side surface S104 and image side surface S105 are aspheric surfaces.


The third lens L103 is a meniscus lens with positive refractive power, wherein the object side surface S106 is a convex surface, the image side surface S107 is a concave surface, and both of the object side surface S106 and image side surface S107 are aspheric surfaces.


The fourth lens L104 is a meniscus lens with positive refractive power, wherein the object side surface S108 is a concave surface, the image side surface S109 is a convex surface, and both of the object side surface S108 and image side surface S109 are aspheric surfaces.


The fifth lens L105 is a meniscus lens with positive refractive power, wherein the object side surface S1010 is a concave surface, the image side surface S1011 is a convex surface, and both of the object side surface S1010 and image side surface S1011 are aspheric surfaces.


The sixth lens L106 is a meniscus lens with negative refractive power, wherein the object side surface S1012 is a convex surface, the image side surface S1013 is a concave surface, and both of the object side surface S1012 and image side surface S1013 are aspheric surfaces and at least one of which includes at least one inflection point. About two-thirds of the object side surface appearance within the effective optical diameter range is close to plane and the object side surface appearance is concave between two-thirds of the effective optical diameter of the object side surface and the periphery of the object side surface. About one-half of the image side surface appearance within the effective optical diameter range is close to plane and the image side surface appearance is convex between one-half of the effective optical diameter of the image side surface and the periphery of the image side surface. The object side surface away from the optical axis bends toward to the object side and that near the optical axis approximates to plane almost without bending. In terms of thickness, the thickness variation is very small near the optical axis and that is larger at the periphery of the lens, resulting in a thinner thickness near the optical axis and a thicker thickness away from the optical axis. In this way, it is beneficial to shorten total lens length of the lens assembly, achieve miniaturization of the lens assembly, and reduce chromatic aberration and aberrations.


The seventh lens L107 is a meniscus lens with negative refractive power, wherein the object side surface S1014 is a convex surface, the image side surface S1015 is a concave surface, and both of the object side surface S1014 and image side surface S1015 are aspheric surfaces.


Both of the object side surface S1016 and image side surface S1017 of the optical filter OF10 are plane surfaces.


The third lens L103 and the fifth lens L105 have positive refractive power at the same time, which can greatly shorten the total lens length of the lens assembly 10.


In order to maintain excellent optical performance of the lens assembly in accordance with the tenth embodiment of the invention, the lens assembly 10 satisfies any one of the conditions (1)-(2), (4), (10), (15), and (17)-(24), wherein the definition for all of the parameters in the tenth embodiment is the same as that of in the ninth embodiment, and is not described here again.


By the above design of the lenses, stop ST10, and satisfies any one of the conditions (1)-(2), (4), (10), (15), and (17)-(24), the lens assembly 10 is provided with an effective shortened total lens length, an effective decreased F-number, an effective decreased weight, an effective increased resolution, an effective corrected chromatic aberration, and an effective corrected aberration.


In order to achieve the above purposes and effectively enhance the optical performance, the lens assembly 10 in accordance with the tenth embodiment of the invention is provided with the optical specifications shown in Table 28, which include the effective focal length, F-number, total lens length, field of view, radius of curvature of each lens surface, thickness between adjacent surface, refractive index of each lens, and Abbe number of each lens.









TABLE 28







Effective Focal Length = 5.78 mm F-number = 1.45


Total Lens Length = 6.79 mm Field of View = 79.9 Degrees













Radius of






Surface
Curvature
Thickness





Number
(mm)
(mm)
Nd
Vd
Remark















S101

−0.96756


Stop ST10


S102
2.380064
1.096488
1.543915
55.9512
The First Lens L101


S103
6.031325
0.061471





S104
3.662098
0.257887
2.00178
19.31
The Second Lens L102


S105
2.799102
0.28191





S106
4.834512
0.504507
1.543915
55.9512
The Third Lens L103


S107
12.07359
0.345555





S108
−20.6406
0.498825
1.671339
19.24289
The Fourth Lens L104


S109
−7.64501
0.526855





S1010
−3.5965
0.368713
1.543915
55.9512
The Fifth Lens L105


S1011
−2.28708
0.072011





S1012
20.16057
0.467028
1.671339
19.24289
The Sixth Lens L106


S1013
7.151391
0.649368





S1014
8.48296
0.577132
1.543915
55.9512
The Seventh Lens L107


S1015
2.122182
0.85





S1016

0.21
1.5168
64.16734
Optical Filter OF10


S1017

0.026731









The definition of aspheric surface sag z of each lens in table 28 is the same as that of in Table 1.


In the tenth embodiment, the conic constant k and the aspheric coefficients A, B, C, D, E, F, G, H, I, K, L, M of each surface are shown in Table 29, and the other aspheric coefficient J is equal to 0.














TABLE 29







A
B
C
D


Surface

E
F
G
H


Number
k
I
K
L
M




















S102
−4.31122
0.03922954
  −6.57E−03
    1.66E−03
  −2.90E−04




    4.07E−05
    7.65E−07
−1.90315E−06
    0.00E+00




0
0
0
0


S103
−15.643
−0.028072513
0.023475555
−0.011046486
0.002655116




−0.000287501
  2.98427E−06
  8.30534E−07
0




0
0
0
0


S104
−10.7066
−0.036959984
0.029673991
−0.013615412
0.00330822




−0.000332345
  1.73781E−05
−2.61323E−06
0




0
0.010091799
−0.000595706
0.000340108


S105
−5.46829
−0.022178812
0.021946332
−0.009693849
0.002585103




−0.000364569
  6.77907E−05
   4.3033E−06
0




0
0.015579423
0.004577968
0.000419741


S106
1.642241
−0.005237239
0.004245456
−0.004298886
0.003076486




−0.001186505
   4.6494E−05
  4.87242E−05
0




0
−0.000788169
−0.003564187
0.001070998


S107
31.73051
−0.003629891
  −1.63E−03
−0.003410631
    2.86E−03




−0.001107412
    5.53E−05
    3.18E−05
0




0
  −6.54E−03
  −4.02E−03
  −2.42E−04


S108
0
−0.036360383
    4.27E−04
−0.005306498
    2.31E−03




−0.000965163
    3.43E−04
  −6.03E−05
    0.00E+00




0
    5.32E−03
    5.89E−03
  −1.59E−03


S109
0
−0.025878012
0.000617314
−0.000133959
−0.001652855




0.001004044
−0.000210001
  9.16213E−06
0




0
0.001318826
−0.001031097
−0.001110626


S1010
−6.33405
−0.037014625
0.008058445
0.001500358
−0.002787207




0.00091132
  −3.62E−05
−1.96115E−05
0




0
−0.006920945
0.014924544
−0.004520907


S1011
−0.05259
0.039680471
−0.001417036
0.001375386
−0.000607057




    1.32E−04
  −2.36E−07
−7.30968E−07
0




0
−0.0261086
0.000214653
−0.00134764


S1012
0
−0.021573167
−0.02766884
0.007160344
−0.001509528




0.000251851
  −2.13E−05
  −1.13E−06
  −2.38E−07




  1.13654E−07
−0.001067114
0.033860299
−0.003761116


S1013
0
0.004630346
−0.002563568
0.000359076
−3.52936E−05




    5.03E−06
  −4.35E−07
    2.99E−08
  −1.01E−09




−9.16716E−11
−0.01831332
−0.005431011
0.000252156


S1014
1.984473
−0.066537055
0.012670409
−0.001447743
0.000107166




−5.58435E−06
    2.22E−07
  −5.90E−09
  −4.67E−12




  4.57444E−12
−0.053875278
0.008528705
−0.000316372


S1015
−6.11817
−0.011793564
0.004286361
−0.000755792
  7.65222E−05




  −3.58E−06
    8.23E−08
  −3.69E−09
  −6.33E−11




  1.67436E−11
−0.051494129
0.00151892
−0.000216916









Table 30 shows the parameters and condition values for conditions (1)-(2), (4), (10), (15), and (17)-(24) in accordance with the tenth embodiment of the invention. As can be seen from Table 30, the lens assembly 10 of the tenth embodiment satisfies the conditions (1)-(2), (4), (10), (15), and (17)-(24).

















TABLE 30







f101
6.511
mm
f103
14.4131
mm
f106
−16.5716
mm


f10
5.78
mm
R1012
6.031325
mm
R1021
3.662098
mm


R1022
2.799102
mm
R1052
−2.28708
mm
R1062
7.151391
mm


R1071
8.48296
mm
R1072
2.122182
mm
T105
0.368713
mm


T106
0.467028
mm
T107
0.577132
mm
TTL10
6.79
mm














F10
1.45
D101
3.956
mm
AAG10
1.93717
mm















G105
0.072011
mm


















R1071/R1012
1.41
f10/(R1071 − R1072)
0.91
(R1071 − R1012)/T107
4.25













TTL10/F10
4.68
mm
f101/T107
11.28
f103/10
2.49












D101/TTL10
0.58
f10/ D101
1.46
D101/T106
8.47









f10 × ((f101 − f106)/(T105 + T106 − R1062 + R1052))
−15.51
mm


|AAG10 × (R1021 + R1022)/(R1021 − R1022)|
14.50
mm


(f101 − f106)/((T105 + T106)/G105)
1.99
mm








(f101 − f106)/(T105 + T106 − R1062 + R1052)
−2.68









By the above arrangements of the lenses and stop ST10, the lens assembly 10 of the tenth embodiment can meet the requirements of optical performance as seen in FIGS. 16A-16C, wherein FIG. 16A shows a field curvature diagram of the lens assembly 10 in accordance with the tenth embodiment of the invention, FIG. 16B shows a distortion diagram of the lens assembly 10 in accordance with the tenth embodiment of the invention, and FIG. 16C shows a modulation transfer function diagram of the lens assembly 10 in accordance with the tenth embodiment of the invention.


It can be seen from FIG. 16A that the field curvature of tangential direction and sagittal direction in the lens assembly 10 of the tenth embodiment ranges from −0.1 mm to 0.5 mm.


It can be seen from FIG. 16B (the five lines in the figure almost coincide to appear as if a signal line) that the distortion in the lens assembly 10 of the tenth embodiment ranges from −1% to 3.5%.


It can be seen from FIG. 16C that the modulation transfer function of tangential direction and sagittal direction in the lens assembly 10 of the tenth embodiment ranges from 0.01 to 1.0.


It is obvious that the field curvature and the distortion of the lens assembly 10 of the tenth embodiment can be corrected effectively, and the resolution of the lens assembly 10 of the tenth embodiment can meet the requirement. Therefore, the lens assembly 10 of the tenth embodiment is capable of good optical performance.


While the invention has been described by way of example and in terms of the preferred embodiment(s), it is to be understood that the invention is not limited thereto. On the contrary, it is intended to cover various modifications and similar arrangements and procedures, and the scope of the appended claims therefore should be accorded the broadest interpretation so as to encompass all such modifications and similar arrangements and procedures.

Claims
  • 1. A lens assembly comprising: a first lens which is a meniscus lens with positive refractive power and comprises a convex surface facing an object side and a concave surface facing an image side;a second lens which is with refractive power;a third lens which is with refractive power;a fourth lens which is with positive refractive power and comprises a convex surface facing the object side;a fifth lens which is with positive refractive power and comprises a convex surface in a paraxial region facing the image side and a concave surface facing the object side; anda sixth lens which is with negative refractive power and comprises a convex surface along an optical axis facing the object side and a concave surface facing the image side;wherein the first lens, the second lens, the third lens, the fourth lens, the fifth lens, and the sixth lens are arranged in order from the object side to the image side along the optical axis;wherein the lens assembly satisfies following conditions: 10 mm<(R11+R12+R52+R62)×((T5+T6)/G5)<29 mm;13.97 mm<|AAG×(R21+R22)/(R21−R22)|<20 mm;wherein T6 is a thickness of the sixth lens along the optical axis, T5 is a thickness of the fifth lens along the optical axis, R52 is a radius of curvature of the convex surface of the fifth lens, R62 is a radius of curvature of the concave surface of the sixth lens, R11 is a radius of curvature of the convex surface of the first lens, R12 is a radius of curvature of the concave surface of the first lens, G5 is an air interval from the convex surface of the fifth lens to an object side surface of the sixth lens along the optical axis, AAG is a total air interval from the concave surface of the first lens to an object side surface of a lens which is closest to the image side along the optical axis, R21 is a radius of curvature of an object side surface of the second lens, and R22 is a radius of curvature of an image side surface of the second lens.
  • 2. The lens assembly as claimed in claim 1, wherein: the second lens is a meniscus lens with negative refractive power and comprises a convex surface facing the object side and a concave surface facing the image side;the third lens is with positive refractive power and comprises a convex surface facing the object side; andthe lens assembly satisfies at least one of following conditions: 1.2<f/D1<2.5;−10<F×((f1−f6)/(T5+T6−R62+R52))<−3;−5<(f1−f6)/(T5+T6−R62+R52)<−1;1.3 mm<(f1−f6)/((T5+T6)/G5)<5 mm;3<D1/T6<9−3.5<(f1+f5+f6)/(T5+T6−R62+R52)<−1.5;wherein G5 is the air interval from the convex surface of the fifth lens to the object side surface of the sixth lens along the optical axis, D1 is an effective optical diameter of the convex surface of the first lens, f is an effective focal length of the lens assembly, f1 is an effective focal length of the first lens, f6 is an effective focal length of the sixth lens, f5 is an effective focal length of the fifth lens, T5 is the thickness of the fifth lens along the optical axis, R52 is the radius of curvature of the convex surface of the fifth lens, R62 is the radius of curvature of the concave surface of the sixth lens, and F is a F-number of the lens assembly.
  • 3. The lens assembly as claimed in claim 2, wherein: the lens assembly further comprises a seventh lens disposed between the fourth lens and the fifth lens, wherein the seventh lens is with negative refractive power;the fourth lens comprises a convex surface facing the object side;the fifth lens further comprises a concave surface facing the object side; andthe sixth lens further comprises a convex surface facing the object side.
  • 4. The tens assembly as claimed in claim 2, wherein the lens assembly satisfies: −20 mm<f×((f1−f6)/(T5+T6−R62+R52))<−5 mm;wherein T5 is the thickness of the fifth lens along the optical axis, T6 is the thickness of the sixth lens along the optical axis, R52 is the radius of curvature of the convex surface of the fifth lens, R62 is the radius of curvature of the concave surface of the sixth lens, f is the effective focal length of the lens assembly, f1 is the effective focal length of the first lens, and f6 is the effective focal length of the sixth lens.
  • 5. The lens assembly as claimed in claim 3, wherein the lens assembly satisfies: −1.8 mm<(R52+R62)×(R31/f1)<0 mm;wherein f1 is an effective focal length of the first lens, R31 is a radius of curvature of the convex surface of the third lens, R52 is a radius of curvature of the convex surface of the fifth lens, and R62 is a radius of curvature of the concave surface of the sixth lens.
  • 6. The lens assembly as claimed in claim 5, wherein the lens assembly satisfies: 37 mm<|f×(R21+R22)/(R21−R22)|<55 mm;16<|F×(R21+R22)/(R21−R22)|<25;wherein f is an effective focal length of the lens assembly, F is a F-number of the lens assembly, R21 is a radius of curvature of an object side surface of the second lens, and R22 is a radius of curvature of an image side surface of the second lens.
  • 7. The lens assembly as claimed in claim 3, wherein the lens assembly satisfies: 0 mm<|f234|<50 mm−35 mm<(f1×f6)/(T1+T2+T6)<−6 mm;−3.5<(R11+R12)/(R52−R62)<−1;0.5<TTL/(R62−R52)<1.9;wherein f234 is an effective focal length of a combination of the second lens, the third lens, and the fourth lens, f1 is an effective focal length of the first lens, f6 is an effective focal length of the sixth lens, T1 is a thickness of the first lens along the optical axis, T2 is a thickness of the second lens along the optical axis, T6 is a thickness of the sixth lens along the optical axis, R11 is a radius of curvature of the convex surface of the first lens, R12 is a radius of curvature of the concave surface of the first lens, R52 is a radius of curvature of the convex surface of the fifth lens, R62 is a radius of curvature of the concave surface of the sixth lens, and TTL is an interval from the convex surface of the first lens to an image plane along the optical axis.
  • 8. The lens assembly as claimed in claim 1, wherein: the second lens is a meniscus lens with negative refractive power and comprises a convex surface facing the object side and a concave surface facing the image side;the third lens is a meniscus lens with positive refractive power and comprises a convex surface facing the object side and a concave surface facing the image side; andthe lens assembly further comprises a seventh lens disposed between the sixth lens and the image side, wherein the seventh lens is a meniscus lens with negative refractive power and comprises a convex surface facing the object side and a concave surface facing the image side.
  • 9. The lens assembly as claimed in claim 8, wherein: the fourth lens is a meniscus lens with negative refractive power and comprises a convex surface facing the object side and a concave surface facing the image side;the fifth lens further comprises a concave surface facing the object side; andthe sixth lens further comprises a concave surface facing the object side.
  • 10. The lens assembly as claimed in claim 8, wherein: the fourth lens is a meniscus lens with positive refractive power and comprises a concave surface facing the object side and a convex surface facing the image side;the fifth lens further comprises a concave surface facing the object side; andthe sixth lens further comprises a convex surface facing the object side.
  • 11. The lens assembly as claimed in claim 8, wherein the lens assembly satisfies: 4.5 mm<TTL/F<6 mm;0<D1/TTL<1;wherein TTL is an interval from the convex surface of the first lens to an image plane along the optical axis, F is a F-number of the lens assembly, and D1 is an effective optical diameter of the convex surface of the first lens.
  • 12. The lens assembly as claimed in claim 8, wherein the lens assembly satisfies: 2<(R71−R12)/T7<6;8<f1/T7<13;2<f3/f<3.5;wherein f is an effective focal length of the lens assembly, f1 is an effective focal length of the first lens, f3 is an effective focal length of the third lens, T7 is a thickness of the seventh lens along the optical axis, R12 is a radius of curvature of the concave surface of the first lens, and R71 is a radius of curvature of the convex surface of the seventh lens.
Priority Claims (2)
Number Date Country Kind
201811184086.2 Oct 2018 CN national
201910261402.X Apr 2019 CN national
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Related Publications (1)
Number Date Country
20200116980 A1 Apr 2020 US