# Patent

## Title
Near infrared lens assembly

## Abstract

A near infrared lens assembly includes a first lens, a second lens, a third lens and a fourth lens, all of which are arranged in sequence from an object side to an image side along an optical axis. The first lens is with positive refractive power and includes a convex surface facing the object side. The second lens is a meniscus lens and includes a convex surface facing the object side and a concave surface facing the image side. The third lens is a meniscus lens and includes a concave surface facing the object side and a convex surface facing the image side. The fourth lens is with negative refractive power and includes a concave surface facing the object side.

## Background
BACKGROUND OF THE INVENTION
Field of the Invention
The invention relates to a near infrared lens assembly.
Description of the Related Art
Some of the game consoles or smart TVs are provided with a non-contact control function. Therefore, users do not need to use a traditional key or remote control but to move their limbs to control the game consoles or smart TVs. A device with such a non-contact control function usually has an image capture lens to capture the images of movement of user's limbs as a basis for controlling the device. However, because of the lightweight and thinness demand for the described devices, the image capture lenses disposed therein are necessarily lightweight and thin.
BRIEF SUMMARY OF THE INVENTION
The invention provides a near infrared lens assembly to solve the above problems. The near infrared lens assembly of the invention, provided with characteristics of a shortened total lens length, is lightweight and thin and has a good optical performance and resolution.
The near infrared lens assembly in accordance with an exemplary embodiment of the invention includes a first lens, a second lens, a third lens and a fourth lens, all of which are arranged in sequence from an object side to an image side along an optical axis. The first lens is with positive refractive power and includes a convex surface facing the object side. The second lens is a meniscus lens and includes a convex surface facing the object side and a concave surface facing the image side. The third lens is a meniscus lens and includes a concave surface facing the object side and a convex surface facing the image side. The fourth lens is with negative refractive power and includes a concave surface facing the object side.
The near infrared lens assembly in accordance with another exemplary embodiment of the invention includes a first lens, a second lens, a third lens and a fourth lens, all of which are arranged in sequence from an object side to an image side along an optical axis. The first lens is with positive refractive power. The second lens is a meniscus lens and includes a convex surface facing the object side and a concave surface facing the image side. The third lens is a meniscus lens and includes a concave surface facing the object side and a convex surface facing the image side. The fourth lens is with negative refractive power. The near infrared lens assembly satisfies:

0.5≦f1/f≦3,

−5≦f2/f≦2,

−5≦f3/f≦5, and

−2≦f4/f≦−0.5,

wherein f1 is an effective focal length of the first lens, f2 is an effective focal length of the second lens, f3 is an effective focal length of the third lens, f4 is an effective focal length of the fourth lens and f is an effective focal length of the near infrared lens assembly.
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 and optical path diagram of a near infrared lens assembly in accordance with a first embodiment of the invention;
FIG. 2A depicts a longitudinal spherical aberration of the near infrared lens assembly in accordance with the first embodiment of the invention;
FIG. 2B is an astigmatic field curves diagram of the near infrared lens assembly in accordance with the first embodiment of the invention;
FIG. 2C is a distortion diagram of the near infrared lens assembly in accordance with the first embodiment of the invention;
FIG. 3 is a lens layout and optical path diagram of a near infrared lens assembly in accordance with a second embodiment of the invention;
FIG. 4A depicts a longitudinal spherical aberration of the near infrared lens assembly in accordance with the second embodiment of the invention;
FIG. 4B is an astigmatic field curves diagram of the near infrared lens assembly in accordance with the second embodiment of the invention;
FIG. 4C is a distortion diagram of the near infrared lens assembly in accordance with the second embodiment of the invention;
FIG. 5 is a lens layout and optical path diagram of a near infrared lens assembly in accordance with a third embodiment of the invention;
FIG. 6A depicts a longitudinal spherical aberration of the near infrared lens assembly in accordance with the third embodiment of the invention;
FIG. 6B is an astigmatic field curves diagram of the near infrared lens assembly in accordance with the third embodiment of the invention;
FIG. 6C is a distortion diagram of the near infrared lens assembly in accordance with the third embodiment of the invention.
FIG. 7 is a lens layout and optical path diagram of a near infrared lens assembly in accordance with a fourth embodiment of the invention;
FIG. 8A depicts a longitudinal spherical aberration of the near infrared lens assembly in accordance with the fourth embodiment of the invention;
FIG. 8B is an astigmatic field curves diagram of the near infrared lens assembly in accordance with the fourth embodiment of the invention;
FIG. 8C is a distortion diagram of the near infrared lens assembly in accordance with the fourth embodiment of the invention.
FIG. 9 is a lens layout and optical path diagram of a near infrared lens assembly in accordance with a fifth embodiment of the invention;
FIG. 10A depicts a longitudinal spherical aberration of the near infrared lens assembly in accordance with the fifth embodiment of the invention;
FIG. 10B is an astigmatic field curves diagram of the near infrared lens assembly in accordance with the fifth embodiment of the invention; and
FIG. 10C is a distortion diagram of the near infrared lens assembly in accordance with the fifth 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 and optical path diagram of a near infrared lens assembly in accordance with a first embodiment of the invention. The near infrared lens assembly 1 includes a first lens L11, a second lens L12, a stop ST1, a third lens L13, a fourth lens L14 and an Optical filter OF1, all of which are arranged in sequence 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 made of plastic material and with positive refractive power, wherein the object side surface S11 is a convex surface, the image side surface S12 is a concave surface and both of the object side surface S11 and image side surface S12 are aspheric surfaces. The second lens L12 is made of plastic material and with positive refractive power, wherein the object side surface S13 is a convex surface, the image side surface S14 is a concave surface and both of the object side surface S13 and image side surface S14 are aspheric surfaces. The third lens L13 is made of plastic material and with positive refractive power, wherein the object side surface S16 is a concave surface, the image side surface S17 is a convex surface and both of the object side surface S16 and image side surface S17 are aspheric surfaces. The fourth lens L14 is made of plastic material and with negative refractive power, wherein the object side surface S18 is a concave surface, the image side surface S19 is a convex surface and both of the object side surface S18 and image side surface S19 are aspheric surfaces. Both of the object side surface S110 and image side surface S111 of the optical filter OF1 are plane surfaces.
In order to maintain excellent optical performance of the near infrared lens assembly in accordance with the first embodiment of the invention, the near infrared lens assembly 1 must satisfies the following seven conditions:

0.6≦f112/f1≦1  (1)

−2≦f134/f1≦−0.5  (2)

0.9≦f1/TTL1≦1  (3)

0.5≦f11/f1≦3  (4)

−5≦f12/f1≦2  (5)

−5≦f13/f1≦5  (6)

−2≦f14/f1≦−0.5  (7)

wherein f112 is an effective focal length of the combination of the first lens L11 and the second lens L12, f134 is an effective focal length of the combination of the third lens L13 and the fourth lens L14, f1 is an effective focal length of the near infrared lens assembly 1, TTL1 is a distance from the object side surface S11 of the first lens L11 to the image plane IMA1 along the optical axis OA1, f11 is an effective focal length of the first lens L11, f12 is an effective focal length of the second lens L12, f13 is an effective focal length of the third lens L13, and f14 is an effective focal length of the fourth lens L14.

By the above design of the lenses and stop ST1, the near infrared lens assembly 1 is provided with a shortened total lens length, an increased resolution, and an effective corrected aberration.
In order to achieve the above purposes and effectively enhance the optical performance, the near infrared 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, field of view, total lens length, radius of curvature of each lens surface, thickness between adjacent surface, refractive index of each lens and Abbe number of each lens. Table 1 shows that the effective focal length is equal to 5.093 mm, F-number is equal to 2.2, field of view is equal to 94° and total lens length is equal to 5.4000 mm for the near infrared lens assembly 1 of the first embodiment of the invention.







TABLE 1







Effective Focal Length = 5.093 mm F-number = 2.2


Field of View = 94° Total Lens Length = 5.400 mm













Radius of






Surface
Curvature
Thickness


Number
(mm)
(mm)
Nd
Vd
Remark















S11
2.30411
0.447
1.535
56.1
The First Lens L11


S12
3.58473
0.093


S13
2.45814
0.784
1.589
61.2
The Second Lens L12


S14
6.84903
0.180


S15
∞
1.317


Stop ST1


S16
−4.94095
0.972
1.636
23.9
The Third Lens L13


S17
−3.80651
0.424


S18
−1.76386
0.333
1.535
56.1
The Fourth Lens L14


S19
−7.00000
0.100


S110
∞
0.210
1.517
64.2
Optical Filter OF1


S111
∞
0.540









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 

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 and E are aspheric coefficients.

In the first embodiment, the conic constant k and the aspheric coefficients A, B, C, D, E of each surface are shown in Table 2.













TABLE 2





Surface








Number
k
A
B
C
D
E





















S11
−1.99783E+00
5.61679E−04
−4.46319E−03
7.09092E−04
5.14565E−04
−3.13089E−06


S12
0.00000E+00
2.51396E−03
2.63154E−03
−2.30230E−04
1.07719E−04
4.45165E−04


S13
2.06045E+00
1.49677E−02
4.50403E−03
−1.20280E−03
−1.64943E−03
8.52250E−04


S14
0.00000E+00
1.55519E−02
6.00661E−03
−2.88119E−04
−8.93666E−04
4.43272E−03


S16
1.81205E+01
−5.44221E−02
−1.22054E−02
−4.25276E−02
4.54063E−02
−3.43335E−02


S17
−2.63890E+00
−5.85360E−03
−1.35120E−02
3.38004E−04
−2.28701E−03
7.44277E−04


S18
0.00000E+00
7.49660E−02
−2.17620E−02
−1.95723E−03
1.03275E−03
4.16999E−04


S19
0.00000E+00
1.56278E−02
−1.73922E−02
7.07543E−04
8.37928E−04
−1.36094E−04









For the near infrared lens assembly 1 of the first embodiment, the effective focal length f112 of the combination of the first lens L11 and the second lens L12 is equal to 4.0866215 mm, the effective focal length f134 of the combination of the third lens L13 and the fourth lens L14 is equal to −5.488787 mm, the effective focal length f1 of the near infrared lens assembly 1 is equal to 5.093 mm, the distance TTL1 from the object side surface S11 of the first lens L11 to the image plane IMA1 along the optical axis OA1 is equal to 5.400 mm, the effective focal length f11 of the first lens L11 is equal to 10.918827 mm, the effective focal length f12 of the second lens L12 is equal to 6.194119 mm, the effective focal length f13 of the third lens L13 is equal to 20.378295 mm, and the effective focal length f14 of the fourth lens L14 is equal to −4.573391 mm. According to the above data, the following values can be obtained:

f112/f1=0.8024,

f134/f1=−1.0777,

f1/TTL1=0.9432,

f11/f1=2.1439,

f12/f1=1.2162,

f13/f1=4.0012,

f14/f1=−0.8980

which respectively satisfy the above conditions (1)-(7).
By the above arrangements of the lenses and stop ST1, the near infrared 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 longitudinal spherical aberration diagram of the near infrared lens assembly 1 in accordance with the first embodiment of the invention, FIG. 2B shows an astigmatic field curves of the near infrared lens assembly 1 in accordance with the first embodiment of the invention and FIG. 2C shows a distortion diagram of the near infrared lens assembly 1 in accordance with the first embodiment of the invention.
It can be seen from FIG. 2A that the longitudinal spherical aberration in the near infrared lens assembly 1 of the first embodiment ranges between −0.0125 mm and 0.0125 mm for the wavelength of 800.0000 nm, 850.0000 nm and 900.0000 nm. It can be seen from FIG. 2B that the astigmatic field curves of tangential direction and sagittal direction in the near infrared lens assembly 1 of the first embodiment ranges between −0.0125 mm and 0.0125 mm for the wavelength of 850.0000 nm. It can be seen from FIG. 2C that the distortion in the near infrared lens assembly 1 of the first embodiment ranges between 0% and 2.0% for the wavelength of 850.0000 nm. It is obvious that the longitudinal spherical aberration, the astigmatic field curves and the distortion of the near infrared lens assembly 1 of the first embodiment can be corrected effectively. Therefore, the near infrared lens assembly 1 of the first embodiment is capable of good optical performance.
Referring to FIG. 3, FIG. 3 is a lens layout and optical path diagram of a near infrared lens assembly in accordance with a second embodiment of the invention. The near infrared lens assembly 2 includes a first lens L21, a second lens L22, a stop ST2, a third lens L23, a fourth lens L24 and an Optical filter OF2, all of which are arranged in sequence 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 made of plastic material and with positive refractive power, wherein the object side surface S21 is a convex surface, the image side surface S22 is a concave surface and both of the object side surface S21 and image side surface S22 are aspheric surfaces. The second lens L22 is made of plastic material and with positive refractive power, wherein the object side surface S23 is a convex surface, the image side surface S24 is a concave surface and both of the object side surface S23 and image side surface S24 are aspheric surfaces. The third lens L23 is made of plastic material and with positive refractive power, wherein the object side surface S26 is a concave 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 made of plastic material and 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. Both of the object side surface S210 and image side surface S211 of the optical filter OF2 are plane surfaces.
In order to maintain excellent optical performance of the near infrared lens assembly in accordance with the second embodiment of the invention, the near infrared lens assembly 2 must satisfies the following seven conditions:

0.6≦f212/f2≦1  (8)

−2≦f234/f2≦−0.5  (9)

0.9≦f2/TTL2≦1  (10)

0.5≦f21/f2≦3  (11)

−5≦f22/f2≦2  (12)

−5≦f23/f2≦5  (13)

−2≦f24/f2≦−0.5  (14)

wherein f212 is an effective focal length of the combination of the first lens L21 and the second lens L22, f234 is an effective focal length of the combination of the third lens L23 and the fourth lens L24, f2 is an effective focal length of the near infrared lens assembly 2, TTL2 is a distance from the object side surface S21 of the first lens L21 to the image plane IMA2 along the optical axis OA2, f21 is an effective focal length of the first lens L21, f22 is an effective focal length of the second lens L22, f23 is an effective focal length of the third lens L23, and f24 is an effective focal length of the fourth lens L24.

By the above design of the lenses and stop ST2, the near infrared lens assembly 2 is provided with a shortened total lens length, an increased resolution, and an effective corrected aberration.
In order to achieve the above purposes and effectively enhance the optical performance, the near infrared lens assembly 2 in accordance with the second embodiment of the invention is provided with the optical specifications shown in Table 3, which include the effective focal length, F-number, field of view, total lens length, radius of curvature of each lens surface, thickness between adjacent surface, refractive index of each lens and Abbe number of each lens. Table 3 shows that the effective focal length is equal to 5.083 mm, F-number is equal to 2.2, field of view is equal to 94° and total lens length is equal to 5.4000 mm for the near infrared lens assembly 2 of the second embodiment of the invention.







TABLE 3







Effective Focal Length = 5.083 mm F-number = 2.2


Field of View = 94° Total Lens Length = 5.400 mm













Radius of






Surface
Curvature
Thickness


Number
(mm)
(mm)
Nd
Vd
Remark















S21
2.53234
0.460
1.535
56.1
The First Lens L21


S22
4.16824
0.150


S23
2.39625
0.680
1.535
56.1
The Second Lens L22


S24
7.00000
0.153


S25
∞
1.320


Stop ST2


S26
−5.67375
0.559
1.636
23.9
The Third Lens L23


S27
−3.45220
0.699


S28
−1.63948
0.528
1.535
56.1
The Fourth Lens L24


S29
−7.00000
0.150


S210
∞
0.210
1.517
64.2
Optical Filter OF2


S211
∞
0.490









The aspheric surface sag z of each lens in table 3 can be calculated by the following formula:

z=ch2/{1+[1−(k+1)c2h2]1/2}+Ah4+Bh6+Ch8+Dh10+Eh12 

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 and E are aspheric coefficients.

In the second embodiment, the conic constant k and the aspheric coefficients A, B, C, D, E of each surface are shown in Table 4.













TABLE 4





Surface








Number
k
A
B
C
D
E





















S21
−2.49760E+00
−2.45659E−04
−3.14267E−03
8.31292E−04
4.52105E−04
2.91430E−05


S22
0.00000E+00
1.20352E−03
1.94359E−03
−9.32779E−05
3.49476E−04
4.76111E−04


S23
2.04636E+00
1.69894E−02
2.33948E−03
−2.04039E−03
−1.71241E−03
1.09559E−03


S24
0.00000E+00
1.73167E−02
5.05259E−03
−2.31223E−03
−5.65035E−04
4.17727E−03


S26
2.37031E+01
−4.34663E−02
−2.31927E−02
−2.72808E−02
2.19635E−02
−1.86886E−02


S27
−1.10801E+00
−1.19873E−02
−1.97693E−02
−2.15195E−03
−3.61622E−03
2.28346E−03


S28
0.00000E+00
4.93839E−02
−1.09203E−02
−9.06458E−03
3.24130E−03
1.03739E−03


S29
0.00000E+00
1.18861E−02
−1.77139E−02
1.93381E−03
1.24811E−04
−2.69907E−05









For the near infrared lens assembly 2 of the second embodiment, the effective focal length f212 of the combination of the first lens L21 and the second lens L22 is equal to 4.289673 mm, the effective focal length f234 of the combination of the third lens L23 and the fourth lens L24 is equal to −6.257359 mm, the effective focal length f2 of the near infrared lens assembly 2 is equal to 5.083 mm, the distance TTL2 from the object side surface S21 of the first lens L21 to the image plane IMA2 along the optical axis OA2 is equal to 5.400 mm, the effective focal length f21 of the first lens L21 is equal to 11.155635 mm, the effective focal length f22 of the second lens L22 is equal to 6.576252 mm, the effective focal length f23 of the third lens L23 is equal to 13.111489 mm, and the effective focal length f24 of the fourth lens L24 is equal to −4.204105 mm. According to the above data, the following values can be obtained:

f212/f2=0.8439,

f234/f2=−1.2311,

f2/TTL2=0.9414,

f21/f2=2.1947,

f22/f2=1.2938,

f23/f2=2.5795,

f24/f2=−0.8271

which respectively satisfy the above conditions (8)-(14).
By the above arrangements of the lenses and stop ST2, the near infrared 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 longitudinal spherical aberration diagram of the near infrared lens assembly 2 in accordance with the second embodiment of the invention, FIG. 4B shows an astigmatic field curves of the near infrared lens assembly 2 in accordance with the second embodiment of the invention and FIG. 4C shows a distortion diagram of the near infrared lens assembly 2 in accordance with the second embodiment of the invention.
It can be seen from FIG. 4A that the longitudinal spherical aberration in the near infrared lens assembly 2 of the second embodiment ranges between −0.0125 mm and 0.0125 mm for the wavelength of 800.0000 nm, 850.0000 nm and 900.0000 nm. It can be seen from FIG. 4B that the astigmatic field curves of tangential direction and sagittal direction in the near infrared lens assembly 2 of the second embodiment ranges between −0.025 mm and 0.0125 mm for the wavelength of 850.0000 nm. It can be seen from FIG. 4C that the distortion in the near infrared lens assembly 2 of the second embodiment ranges between 0% and 2.0% for the wavelength of 850.0000 nm. It is obvious that the longitudinal spherical aberration, the astigmatic field curves and the distortion of the near infrared lens assembly 2 of the second embodiment can be corrected effectively. Therefore, the near infrared lens assembly 2 of the second embodiment is capable of good optical performance.
Referring to FIG. 5, FIG. 5 is a lens layout and optical path diagram of a near infrared lens assembly in accordance with a third embodiment of the invention. The near infrared lens assembly 3 includes a first lens L31, a second lens L32, a stop ST3, a third lens L33, a fourth lens L34 and an Optical filter OF3, all of which are arranged in sequence 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 made of plastic material and with positive refractive power, wherein the object side surface S31 is a convex surface, the image side surface S32 is a convex surface and both of the object side surface S31 and image side surface S32 are aspheric surfaces. The second lens L32 is made of plastic material and with negative refractive power, wherein the object side surface S33 is a convex surface, the image side surface S34 is a concave surface and both of the object side surface S33 and image side surface S34 are aspheric surfaces. The third lens L33 is made of plastic material and with positive refractive power, wherein the object side surface S36 is a concave surface, the image side surface S37 is a convex surface and both of the object side surface S36 and image side surface S37 are aspheric surfaces. The fourth lens L34 is made of plastic material and with negative refractive power, wherein the object side surface S38 is a concave 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. Both of the object side surface S310 and image side surface S311 of the optical filter OF3 are plane surfaces.
In order to maintain excellent optical performance of the near infrared lens assembly in accordance with the third embodiment of the invention, the near infrared lens assembly 3 must satisfies the following seven conditions:

0.6≦f312/f3≦1  (15)

−2≦f334/f3≦−0.5  (16)

0.9≦f3/TTL3≦1  (17)

0.5≦f31/f3≦3  (18)

−5≦f32/f3≦2  (19)

−5≦f33/f3≦5  (20)

−2≦f34/f3≦−0.5  (21)

wherein f312 is an effective focal length of the combination of the first lens L31 and the second lens L32, f334 is an effective focal length of the combination of the third lens L33 and the fourth lens L34, f3 is an effective focal length of the near infrared lens assembly 3, TTL3 is a distance from the object side surface S31 of the first lens L31 to the image plane IMA3 along the optical axis OA3, f31 is an effective focal length of the first lens L31, f32 is an effective focal length of the second lens L32, f33 is an effective focal length of the third lens L33, and f34 is an effective focal length of the fourth lens L34.

By the above design of the lenses and stop ST3, the near infrared lens assembly 3 is provided with a shortened total lens length, an increased resolution, and an effective corrected aberration.
In order to achieve the above purposes and effectively enhance the optical performance, the near infrared lens assembly 3 in accordance with the third embodiment of the invention is provided with the optical specifications shown in Table 5, which include the effective focal length, F-number, field of view, total lens length, radius of curvature of each lens surface, thickness between adjacent surface, refractive index of each lens and Abbe number of each lens. Table 5 shows that the effective focal length is equal to 5.150 mm, F-number is equal to 2.2, field of view is equal to 92° and total lens length is equal to 5.4000 mm for the near infrared lens assembly 3 of the third embodiment of the invention.







TABLE 5







Effective Focal Length = 5.150 mm F-number = 2.2


Field of View = 92° Total Lens Length = 5.400 mm













Radius of






Surface
Curvature
Thickness


Number
(mm)
(mm)
Nd
Vd
Remark















S31
2.25158
0.871
1.535
56.1
The First Lens L31


S32
−10.00000
0.052


S33
8.98839
0.350
1.589
61.2
The Second Lens L32


S34
4.89229
0.287


S35
∞
1.251


Stop ST3


S36
−4.88123
0.937
1.636
23.9
The Third Lens L33


S37
−3.69061
0.452


S38
−1.71036
0.350
1.535
56.1
The Fourth Lens L34


S39
−7.00000
0.100


S310
∞
0.210
1.517
64.2
Optical Filter OF3


S311
∞
0.540









The aspheric surface sag z of each lens in table 5 can be calculated by the following formula:

z=ch2/{1+[1−(k+1)c2h2]1/2}+Ah4+Bh6+Ch8+Dh10+Eh12 

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 and E are aspheric coefficients.

In the third embodiment, the conic constant k and the aspheric coefficients A, B, C, D, E of each surface are shown in Table 6.













TABLE 6





Surface








Number
k
A
B
C
D
E





















S31
−1.82274E+00
1.44808E−03
−6.93076E−03
−6.55964E−04
2.96323E−04
9.52171E−05


S32
0.00000E+00
4.27625E−03
9.07289E−04
−8.87061E−04
−1.31743E−04
1.79160E−04


S33
−4.40154E+00
2.30637E−02
7.83110E−03
−1.24926E−03
−2.56011E−03
−6.45226E−04


S34
0.00000E+00
−7.65724E−03
−4.29061E−03
−5.35958E−03
−4.70532E−03
1.27995E−03


S36
1.77727E+01
−6.60891E−02
−1.48968E−03
−6.24095E−02
6.35314E−02
−4.56776E−02


S37
−2.34674E−01
−1.42162E−02
−1.04984E−02
9.32530E−05
−3.02484E−03
1.09974E−03


S38
0.00000E+00
6.44145E−02
−2.13558E−02
−2.98052E−03
1.60975E−03
6.24402E−04


S39
0.00000E+00
1.27414E−02
−1.94175E−02
1.53522E−03
6.46555E−04
−1.11163E−04









For the near infrared lens assembly 3 of the third embodiment, the effective focal length f312 of the combination of the first lens L31 and the second lens L32 is equal to 4.1234634 mm, the effective focal length f334 of the combination of the third lens L33 and the fourth lens L34 is equal to −5.347574 mm, the effective focal length f3 of the near infrared lens assembly 3 is equal to 5.150 mm, the distance TTL3 from the object side surface S31 of the first lens L31 to the image plane IMA3 along the optical axis OA3 is equal to 5.400 mm, the effective focal length f31 of the first lens L31 is equal to 3.573882 mm, the effective focal length f32 of the second lens L32 is equal to −19.08027 mm, the effective focal length f33 of the third lens L33 is equal to 18.975071 mm, and the effective focal length f34 of the fourth lens L34 is equal to −4.393825 mm. According to the above data, the following values can be obtained:

f312/f3=0.8007,

f334/f3=−1.0385,

f3/TTL3=0.9536,

f31/f3=0.6940,

f32/f3=−3 0.7052,

f33/f3=3.6848,

f34/f3=−0.8532

which respectively satisfy the above conditions (15)-(21).
By the above arrangements of the lenses and stop ST3, the near infrared 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 longitudinal spherical aberration diagram of the near infrared lens assembly 3 in accordance with the third embodiment of the invention, FIG. 6B shows an astigmatic field curves of the near infrared lens assembly 3 in accordance with the third embodiment of the invention and FIG. 6C shows a distortion diagram of the near infrared lens assembly 3 in accordance with the third embodiment of the invention.
It can be seen from FIG. 6A that the longitudinal spherical aberration in the near infrared lens assembly 3 of the third embodiment ranges between −0.0125 mm and 0.0125 mm for the wavelength of 800.0000 nm, 850.0000 nm and 900.0000 nm. It can be seen from FIG. 6B that the astigmatic field curves of tangential direction and sagittal direction in the near infrared lens assembly 3 of the third embodiment ranges between −0.025 mm and 0.0125 mm for the wavelength of 850.0000 nm. It can be seen from FIG. 6C that the distortion in the near infrared lens assembly 3 of the third embodiment ranges between 0% and 2.0% for the wavelength of 850.0000 nm. It is obvious that the longitudinal spherical aberration, the astigmatic field curves and the distortion of the near infrared lens assembly 3 of the third embodiment can be corrected effectively. Therefore, the near infrared lens assembly 3 of the third embodiment is capable of good optical performance.
Referring to FIG. 7, FIG. 7 is a lens layout and optical path diagram of a near infrared lens assembly in accordance with a fourth embodiment of the invention. The near infrared lens assembly 4 includes a first lens L41, a second lens L42, a stop ST4, a third lens L43, a fourth lens L44 and an Optical filter OF4, all of which are arranged in sequence 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 made of plastic material and with positive refractive power, wherein the object side surface S41 is a convex surface, the image side surface S42 is a convex surface and both of the object side surface S41 and image side surface S42 are aspheric surfaces. The second lens L42 is made of plastic material and with negative refractive power, wherein the object side surface S43 is a convex surface, the image side surface S44 is a concave surface and both of the object side surface S43 and image side surface S44 are aspheric surfaces. The third lens L43 is made of plastic material and with positive refractive power, wherein the object side surface S46 is a concave 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 made of plastic material and with negative refractive power, wherein the object side surface S48 is a concave surface, the image side surface S49 is a convex surface and both of the object side surface S48 and image side surface S49 are aspheric surfaces. Both of the object side surface S410 and image side surface S411 of the optical filter OF4 are plane surfaces.
In order to maintain excellent optical performance of the near infrared lens assembly in accordance with the fourth embodiment of the invention, the near infrared lens assembly 4 must satisfies the following seven conditions:

0.6≦f412/f4≦1  (22)

−2≦f434/f4≦−0.5  (23)

0.9≦f4/TTL4≦1  (24)

0.5≦f41/f4≦3  (25)

−5≦f42/f4≦2  (26)

−5≦f43/f4≦5  (27)

−2≦f44/f4≦−0.5  (28)

wherein f412 is an effective focal length of the combination of the first lens L41 and the second lens L42, f434 is an effective focal length of the combination of the third lens L43 and the fourth lens L44, f4 is an effective focal length of the near infrared lens assembly 4, TTL4 is a distance from the object side surface S41 of the first lens L41 to the image plane IMA4 along the optical axis OA4, f41 is an effective focal length of the first lens L41, f42 is an effective focal length of the second lens L42, f43 is an effective focal length of the third lens L43, and f44 is an effective focal length of the fourth lens L44.

By the above design of the lenses and stop ST4, the near infrared lens assembly 4 is provided with a shortened total lens length, an increased resolution, and an effective corrected aberration.
In order to achieve the above purposes and effectively enhance the optical performance, the near infrared lens assembly 4 in accordance with the fourth embodiment of the invention is provided with the optical specifications shown in Table 7, which include the effective focal length, F-number, field of view, total lens length, radius of curvature of each lens surface, thickness between adjacent surface, refractive index of each lens and Abbe number of each lens. Table 7 shows that the effective focal length is equal to 5.130 mm, F-number is equal to 2.2, field of view is equal to 92° and total lens length is equal to 5.4000 mm for the near infrared lens assembly 4 of the fourth embodiment of the invention.







TABLE 7







Effective Focal Length = 5.130 mm F-number = 2.2


Field of View = 92° Total Lens Length = 5.400 mm













Radius of






Surface
Curvature
Thickness


Number
(mm)
(mm)
Nd
Vd
Remark















S41
2.39987
0.837
1.544
56.1
The First Lens L41


S42
−9.80467
0.150


S43
9.74834
0.350
1.582
30.2
The Second Lens L42


S44
5.45457
0.232


S45
∞
1.234


Stop ST4


S46
−6.30719
1.001
1.544
56.1
The Third Lens L43


S47
−4.52671
0.397


S48
−1.82312
0.350
1.544
56.1
The Fourth Lens L44


S49
−7.00000
0.150


S410
∞
0.210
1.517
64.2
Optical Filter OF4


S411
∞
0.490









The aspheric surface sag z of each lens in table 7 can be calculated by the following formula:

z=ch2/{1+[1−(k+1)c2h2]1/2}+Ah4+Bh6+Ch8+Dh10+Eh12 

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 and E are aspheric coefficients.

In the fourth embodiment, the conic constant k and the aspheric coefficients A, B, C, D, E of each surface are shown in Table 8.













TABLE 8





Surface








Number
k
A
B
C
D
E





















S41
−2.26199E+00
8.50175E−04
−5.83519E−03
−3.36563E−04
2.93880E−04
1.16937E−04


S42
0.00000E+00
3.70027E−03
2.21037E−03
−6.82355E−04
−1.65613E−04
2.79955E−04


S43
3.57167E+01
2.79250E−02
6.75121E−03
−2.09445E−03
−2.79056E−03
−3.35083E−04


S44
0.00000E+00
−3.89688E−04
−4.59775E−03
−6.36367E−03
−4.72231E−03
1.61195E−03


S46
3.02622E+01
−6.68100E−02
−1.35773E−02
−5.00447E−02
5.40836E−02
−4.49342E−02


S47
−1.64817E+00
5.83760E−03
−1.03933E−02
−1.63290E−04
−2.85465E−03
1.09718E−03


S48
0.00000E+00
8.07492E−02
−2.00013E−02
−1.72325E−03
1.12861E−03
3.12231E−04


S49
0.00000E+00
1.44460E−02
−1.78127E−02
1.02944E−03
6.85015E−04
−1.11849E−04









For the near infrared lens assembly 4 of the fourth embodiment, the effective focal length f412 of the combination of the first lens L41 and the second lens L42 is equal to 4.1588711 mm, the effective focal length f434 of the combination of the third lens L43 and the fourth lens L44 is equal to −5.511109 mm, the effective focal length f4 of the near infrared lens assembly 4 is equal to 5.130 mm, the distance TTL4 from the object side surface S41 of the first lens L41 to the image plane IMA4 along the optical axis OA4 is equal to 5.400 mm, the effective focal length f41 of the first lens L41 is equal to 3.684161 mm, the effective focal length f42 of the second lens L42 is equal to −22.45904 mm, the effective focal length f43 of the third lens L43 is equal to 25.003466 mm, and the effective focal length f44 of the fourth lens L44 is equal to −4.709051 mm. According to the above data, the following values can be obtained:

f412/f4=0.8106,

f434/f4=−1.0742,

f4/TTL4=0.9501,

f41/f4=0.7181,

f42/f4=−4.3776,

f43/f4=4.8736,

f44/f4=−0.9179

which respectively satisfy the above conditions (22)-(28).
By the above arrangements of the lenses and stop ST4, the near infrared 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 longitudinal spherical aberration diagram of the near infrared lens assembly 4 in accordance with the fourth embodiment of the invention, FIG. 8B shows an astigmatic field curves of the near infrared lens assembly 4 in accordance with the fourth embodiment of the invention and FIG. 8C shows a distortion diagram of the near infrared lens assembly 4 in accordance with the fourth embodiment of the invention.
It can be seen from FIG. 8A that the longitudinal spherical aberration in the near infrared lens assembly 4 of the fourth embodiment ranges between −0.025 mm and 0.025 mm for the wavelength of 800.0000 nm, 850.0000 nm and 900.0000 nm. It can be seen from FIG. 8B that the astigmatic field curves of tangential direction and sagittal direction in the near infrared lens assembly 4 of the fourth embodiment ranges between −0.025 mm and 0.0125 mm for the wavelength of 850.0000 nm. It can be seen from FIG. 8C that the distortion in the near infrared lens assembly 4 of the fourth embodiment ranges between 0% and 2.0% for the wavelength of 850.0000 nm. It is obvious that the longitudinal spherical aberration, the astigmatic field curves and the distortion of the near infrared lens assembly 4 of the fourth embodiment can be corrected effectively. Therefore, the near infrared lens assembly 4 of the fourth embodiment is capable of good optical performance.
Referring to FIG. 9, FIG. 9 is a lens layout and optical path diagram of a near infrared lens assembly in accordance with a fifth embodiment of the invention. The near infrared lens assembly 5 includes a first lens L51, a second lens L52, a stop ST5, a third lens L53, a fourth lens L54 and an Optical filter OF5, all of which are arranged in sequence 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 made of plastic material and with positive refractive power, wherein the object side surface S51 is a convex surface, the image side surface S52 is a concave surface and both of the object side surface S51 and image side surface S52 are aspheric surfaces. The second lens L52 is made of plastic material and with positive refractive power, wherein the object side surface S53 is a convex surface, the image side surface S54 is a concave surface and both of the object side surface S53 and image side surface S54 are aspheric surfaces. The third lens L53 is made of plastic material and with negative refractive power, wherein the object side surface S56 is a concave 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 made of plastic material and 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. Both of the object side surface S510 and image side surface S511 of the optical filter OF5 are plane surfaces.
In order to maintain excellent optical performance of the near infrared lens assembly in accordance with the fifth embodiment of the invention, the near infrared lens assembly 5 must satisfies the following seven conditions:

0.6≦f512/f5≦1  (29)

−2≦f534/f5≦−0.5  (30)

0.9≦f5/TTL5≦1  (31)

0.5≦f51/f5≦3  (32)

−5≦f52/f5≦2  (33)

−5≦f53/f5≦5  (34)

−2≦f54/f5≦−0.5  (35)

wherein f512 is an effective focal length of the combination of the first lens L51 and the second lens L52, f534 is an effective focal length of the combination of the third lens L53 and the fourth lens L54, f5 is an effective focal length of the near infrared lens assembly 5, TTL5 is a distance from the object side surface S51 of the first lens L51 to the image plane IMA5 along the optical axis OA5, f51 is an effective focal length of the first lens L51, f52 is an effective focal length of the second lens L52, f53 is an effective focal length of the third lens L53, and f54 is an effective focal length of the fourth lens L54.

By the above design of the lenses and stop ST5, the near infrared lens assembly 5 is provided with a shortened total lens length, an increased resolution, and an effective corrected aberration.
In order to achieve the above purposes and effectively enhance the optical performance, the near infrared lens assembly 5 in accordance with the fifth embodiment of the invention is provided with the optical specifications shown in Table 9, which include the effective focal length, F-number, field of view, total lens length, radius of curvature of each lens surface, thickness between adjacent surface, refractive index of each lens and Abbe number of each lens. Table 9 shows that the effective focal length is equal to 5.098 mm, F-number is equal to 2.2, field of view is equal to 94° and total lens length is equal to 5.4000 mm for the near infrared lens assembly 5 of the fifth embodiment of the invention.







TABLE 9







Effective Focal Length = 5.098 mm F-number = 2.2


Field of View = 94° Total Lens Length = 5.400 mm













Radius of






Surface
Curvature
Thickness


Number
(mm)
(mm)
Nd
Vd
Remark















S51
2.43554
0.419
1.535
56.1
The First Lens L51


S52
3.95324
0.151


S53
2.48878
0.748
1.535
56.1
The Second Lens L52


S54
13.67312
0.109


S55
∞
1.295


Stop ST5


S56
−5.07932
0.685
1.636
23.9
The Third Lens L53


S57
−9.10989
0.343


S58
−10.00000
0.751
1.535
56.1
The Fourth Lens L54


S59
4.37167
0.100


S510
∞
0.210
1.517
64.2
Optical Filter OF5


S511
∞
0.589









The aspheric surface sag z of each lens in table 9 can be calculated by the following formula:

z=ch2/{1+[1−(k+1)c2h2]1/2}+Ah4+Bh6+Ch8+Dh10+Eh12 

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 and E are aspheric coefficients.

In the fifth embodiment, the conic constant k and the aspheric coefficients A, B, C, D, E of each surface are shown in Table 10.













TABLE 10





Surface








Number
k
A
B
C
D
E





















S51
−2.27813E+00
−1.90187E−03
−4.92307E−03
6.61652E−04
3.86792E−04
−3.62263E−05


S52
0.00000E+00
2.76139E−03
2.05882E−03
−8.01541E−04
−1.49895E−05
2.37760E−04


S53
1.99587E+00
1.82410E−02
3.03670E−03
−1.21116E−03
−1.78317E−03
3.17281E−04


S54
0.00000E+00
5.51339E−03
1.92924E−03
−1.14931E−03
−4.00069E−05
1.15572E−03


S56
2.05658E+01
−5.17541E−02
−4.76376E−02
−2.07237E−02
4.54269E−02
−4.04253E−02


S57
−1.97420E+02
−5.34501E−02
−2.44996E−02
8.71643E−03
−7.17447E−04
−2.99506E−04


S58
0.00000E+00
−8.11005E−02
−1.83385E−02
5.88680E−03
3.33720E−03
−1.19705E−03


S59
0.00000E+00
−7.29852E−02
5.69264E−03
−3.14163E−04
2.44243E−05
−1.40234E−05









For the near infrared lens assembly 5 of the fifth embodiment, the effective focal length f512 of the combination of the first lens L51 and the second lens L52 is equal to 3.8906446 mm, the effective focal length f534 of the combination of the third lens L53 and the fourth lens L54 is equal to −4.141311 mm, the effective focal length f5 of the near infrared lens assembly 5 is equal to 5.098 mm, the distance TTL5 from the object side surface S51 of the first lens L51 to the image plane IMA5 along the optical axis OA5 is equal to 5.400 mm, the effective focal length f51 of the first lens L51 is equal to 10.986343 mm, the effective focal length f52 of the second lens L52 is equal to 5.641353 mm, the effective focal length f53 of the third lens L53 is equal to −19.99995 mm, and the effective focal length f54 of the fourth lens L54 is equal to −5.667977 mm. According to the above data, the following values can be obtained:

f512/f5=0.7631,

f534/f5=−0.8123,

f5/TTL5=0.9441,

f51/f5=2.1549,

f52/f5=1.1065,

f53/f5=−3.9228,

f54/f5=−1.1117

which respectively satisfy the above conditions (29)-(35).
By the above arrangements of the lenses and stop ST5, the near infrared 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 longitudinal spherical aberration diagram of the near infrared lens assembly 5 in accordance with the fifth embodiment of the invention, FIG. 10B shows an astigmatic field curves of the near infrared lens assembly 5 in accordance with the fifth embodiment of the invention and FIG. 10C shows a distortion diagram of the near infrared lens assembly 5 in accordance with the fifth embodiment of the invention.
It can be seen from FIG. 10A that the longitudinal spherical aberration in the near infrared lens assembly 5 of the fifth embodiment ranges between −0.0125 mm and 0.025 mm for the wavelength of 800.0000 nm, 850.0000 nm and 900.0000 nm. It can be seen from FIG. 10B that the astigmatic field curves of tangential direction and sagittal direction in the near infrared lens assembly 5 of the fifth embodiment ranges between −0.0125 mm and 0.0125 mm for the wavelength of 850.0000 nm. It can be seen from FIG. 10C that the distortion in the near infrared lens assembly 5 of the fifth embodiment ranges between 0% and 2.3% for the wavelength of 850.0000 nm. It is obvious that the longitudinal spherical aberration, the astigmatic field curves and the distortion of the near infrared lens assembly 5 of the fifth embodiment can be corrected effectively. Therefore, the near infrared lens assembly 5 of the fifth embodiment is capable of good optical performance.
In the above embodiments, all the object side surfaces and image side surfaces of the first, second, third and fourth lens are aspheric surfaces. However, it has the same effect and falls into the scope of the invention that any of the object side surfaces and image side surfaces of the first, second, third and fourth lens are changed into spherical surfaces.
In the above embodiments, all the first, second, third and fourth lens are made of plastic material. However, it has the same effect and falls into the scope of the invention that all of or part of the first, second, third and fourth lens are made of glass material.

## Claims

1. A near infrared lens assembly comprising a first lens, a second lens, a third lens and a fourth lens, all of which are arranged in sequence from an object side to an image side along an optical axis, wherein:
the first lens is with positive refractive power and comprises a convex surface facing the object side;
the second 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;
the third lens is a meniscus lens and comprises a concave surface facing the object side and a convex surface facing the image side;
the fourth lens is with negative refractive power and comprises a concave surface facing the object side and a concave surface facing the image side;
a combination of the third lens and the fourth lens is with negative refractive power; and
the near infrared lens assembly satisfies:


−5≦f3/f≦5,


wherein f3 is an effective focal length of the third lens and f is an effective focal length of the near infrared lens assembly.

2. The near infrared lens assembly as claimed in claim 1, wherein the first lens is a meniscus lens and further comprises a concave surface facing the image side.

3. The near infrared lens assembly as claimed in claim 1, wherein the first lens is a biconvex lens.

4. The near infrared lens assembly as claimed in claim 1, wherein the third lens is with positive refractive power.

5. The near infrared lens assembly as claimed in claim 1, wherein the third lens is with negative refractive power.

6. The near infrared lens assembly as claimed in claim 1, wherein a combination of the first lens and the second lens is with positive refractive power and the near infrared lens assembly satisfies: 0.9≦f/TTL≦1, wherein f is an effective focal length of the near infrared lens assembly and TTL is a distance from the convex surface of the first lens to an image plane along the optical axis.

7. The near infrared lens assembly as claimed in claim 1, wherein the first lens and the second lens satisfy:


0.6≦f12/f≦1,

wherein f12 is an effective focal length of a combination of the first lens and the second lens, and f is an effective focal length of the near infrared lens assembly.

8. The near infrared lens assembly as claimed in claim 1, wherein the third lens and the fourth lens satisfy:


−2≦f34/f≦−0.5,

wherein f34 is an effective focal length of a combination of the third lens and the fourth lens, and f is an effective focal length of the near infrared lens assembly.

9. The near infrared lens assembly as claimed in claim 1, wherein the near infrared lens assembly satisfies:


0.9≦f/TTL≦1,

wherein f is an effective focal length of the near infrared lens assembly and TTL is a distance from the convex surface of the first lens to an image plane along the optical axis.

10. The near infrared lens assembly as claimed in claim 1, wherein the first lens, the second lens, the third lens and the fourth lens satisfy:


0.5≦f1/f≦3,



−5≦f2/f≦2,



−2≦f4/f≦−0.5,

wherein f1 is an effective focal length of the first lens, f2 is an effective focal length of the second lens, f4 is an effective focal length of the fourth lens and f is an effective focal length of the near infrared lens assembly.

11. The near infrared lens assembly as claimed in claim 1, wherein the first lens further comprises a surface, wherein the surface is an aspheric surface, or the convex surface of the first lens is an aspheric surface, or both of the surface and the convex surface of the first lens are aspheric surfaces.

12. The near infrared lens assembly as claimed in claim 1, wherein the convex surface of the second lens is an aspheric surface, or the concave surface of the second lens is an aspheric surface, or both of the convex surface and the concave surface of the second lens are aspheric surfaces.

13. The near infrared lens assembly as claimed in claim 1, wherein the concave surface of the third lens is an aspheric surface, or the convex surface of the third lens is an aspheric surface, or both of the concave surface and the convex surface of the third lens are aspheric surfaces.

14. The near infrared lens assembly as claimed in claim 1, wherein the fourth lens further comprises a surface, wherein the surface is an aspheric surface, or the concave surface of the fourth lens is an aspheric surface, or both of the surface and the concave surface of the fourth lens are aspheric surfaces.

15. The near infrared lens assembly as claimed in claim 1, further comprising a stop disposed between the second lens and the third lens.

16. A near infrared lens assembly comprising a first lens, a second lens, a third lens and a fourth lens, all of which are arranged in sequence from an object side to an image side along an optical axis, wherein:
the first lens is with positive refractive power;
the second 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;
the third lens is a meniscus lens and comprises a concave surface facing the object side and a convex surface facing the image side;
the fourth lens is with negative refractive power and comprises a concave surface facing the image side;
a combination of the third lens and the fourth lens is with negative refractive power; and
the near infrared lens assembly satisfies:


0.5≦f1/f≦3,



−5≦f2/f≦2,



−5≦f3/f≦5,



−2≦f4/f≦−0.5,


wherein f1 is an effective focal length of the first lens, f2 is an effective focal length of the second lens, f3 is an effective focal length of the third lens, f4 is an effective focal length of the fourth lens and f is an effective focal length of the near infrared lens assembly.