Field of the Invention
The invention relates to a lens assembly.
Description of the Related Art
Range finders have been continually developed toward miniaturization. Therefore, lens assemblies used for range finders also need to be developed toward miniaturization. However, the well-known lens assemblies used for range finders are with large volume and can't satisfy requirements of present. Therefore, a lens assembly needs a new structure in order to meet the requirements of miniaturization and high resolution.
The invention provides a lens assembly to solve the above problems. The lens assembly of the invention is provided with a shortened total lens length and a high resolution and still has a good optical performance.
The lens assembly in accordance with an exemplary embodiment of the invention includes a stop, a first lens, a second lens and a third lens, all of which are arranged in sequence from an object side to an image side along an optical axis. The first lens is a plano-convex lens with positive refractive power and includes a convex surface facing the object side. The second lens is with negative refractive power. The third lens is with positive refractive power and includes a convex surface facing the object side. The third lens satisfies 0<f3/f<1, wherein f3 is an effective focal length of the third lens and f is an effective focal length of the lens assembly.
In another exemplary embodiment, the first lens satisfies 0<f1/f<1, wherein f1 is an effective focal length of the first lens and f is an effective focal length of the lens assembly.
In yet another exemplary embodiment, the second lens satisfies f2/f<0, wherein f2 is an effective focal length of the second lens and f is an effective focal length of the lens assembly.
In another exemplary embodiment, the lens assembly satisfies 0<BFL/TTL<1, wherein BFL is an interval from an image side surface of the third lens to an image plane along the optical axis and TTL is an interval from the convex surface of the first lens to the image plane along the optical axis.
In yet another exemplary embodiment, the first lens and the second lens are spherical lenses.
In another exemplary embodiment, the third lens is an aspheric lens.
In yet another exemplary embodiment, the first lens, the second lens and the third lens are made of plastic material.
In another exemplary embodiment, the lens assembly further includes an optical filter disposed between the third lens and the image side.
In yet another exemplary embodiment, the second lens is a biconcave lens and the third lens is a biconvex lens.
A detailed description is given in the following embodiments with reference to the accompanying drawings.
The invention can be more fully understood by reading the subsequent detailed description and examples with references made to the accompanying drawings, wherein:
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
In order to maintain excellent optical performance of the lens assembly in accordance with the first embodiment of the invention, the lens assembly 1 must satisfy the following four conditions:
0<f11/f1<1 (1)
f12/f1<0 (2)
0<f13/f1<1 (3)
0<BFL1/TTL1<1 (4)
wherein f1 is an effective focal length of the lens assembly 1, 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, BFL1 is an interval from the image side surface S17 of the third lens L13 to the image plane IMA1 along the optical axis OA1, and TTL1 is an interval from the object side surface S12 of the first lens L11 to the image plane IMA1 along the optical axis OA1. When the condition (1) is satisfied, the positive refractive power of the first lens L11 can be adjusted appropriately so as to help shortening the total lens length of the lens assembly 1. When the condition (2) is satisfied, the negative refractive power of the second lens L12 can be adjusted appropriately so as to compensate aberration that is generated by the positive first lens L11. When the condition (3) is satisfied, the positive refractive power of the third lens L13 can be adjusted appropriately so that the lens assembly 1 has shorter total lens length, the refraction change of light is gentler after pass through the lens, and can effectively reduce the generation of aberration and the loss of peripheral brightness. When the condition (4) is satisfied, it ensures that the optical system has enough back focal length to assemble and focus the lens assembly 1.
By the above design of the lenses and stop ST1, the lens assembly 1 is provided with a shortened total lens length, an effective corrected aberration and an increased resolution.
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, radius of curvature of each lens surface in mm, thickness between adjacent surface in mm, refractive index of each lens and Abbe number of each lens, and surface number S11-S19 represent surfaces in sequence from the object side to the image side. Table 1 shows that the effective focal length is equal to 9.984 mm, F-number is equal to 3.0 and total lens length is equal to 15.4647 mm for the lens assembly 1 of the first embodiment of the invention.
The aspheric surface sag z of each lens in table 1 can be calculated by the following formula:
z=ch
2/{1+[1−(k+1)c2h2]1/2}+Ah4+Bh6+Ch8+Dh10+Eh12+Fh14
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 and F are aspheric coefficients.
In the first embodiment, the conic constant k and the aspheric coefficients A, B, C, D, E, F of each surface are shown in Table 2.
For the lens assembly 1 of the first embodiment, the effective focal length f1 of the lens assembly 1 is equal to 9.984 mm, the effective focal length f11 of the first lens L11 is equal to 9.7315 mm, the effective focal length f12 of the second lens L12 is equal to −3.6720 mm, the effective focal length f13 of the third lens L13 is equal to 4.7707 mm, the interval BFL1 from the image side surface S17 of the third lens L13 to the image plane IMA1 along the optical axis OA1 is equal to 9.9921 mm and the interval TTL1 from the object side surface S12 of the first lens L11 to the image plane IMA1 along the optical axis OA1 is equal to 15.4647 mm. According to the above data, the following values can be obtained:
f11/f1=0.975,
f12/f1=−0.368,
f13/f1=0.478,
BFL1/TTL1=0.646
which respectively satisfy the above conditions (1)-(4).
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
It can be seen from
Referring to
In order to maintain excellent optical performance of the lens assembly in accordance with the second embodiment of the invention, the lens assembly 2 must satisfy the following four conditions:
0<f21/f2<1 (5)
f22/f2<0 (6)
0<f23/f2<1 (7)
0<BFL2/TTL2<1 (8)
wherein f2 is an effective focal length of the lens assembly 2, 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, BFL2 is an interval from the image side surface S27 of the third lens L23 to the image plane IMA2 along the optical axis OA2, and TTL2 is an interval from the object side surface S22 of the first lens L21 to the image plane IMA2 along the optical axis OA2. When the condition (5) is satisfied, the positive refractive power of the first lens L21 can be adjusted appropriately so as to help shortening the total lens length of the lens assembly 2. When the condition (6) is satisfied, the negative refractive power of the second lens L22 can be adjusted appropriately so as to compensate aberration that is generated by the positive first lens L21. When the condition (7) is satisfied, the positive refractive power of the third lens L23 can be adjusted appropriately so that the lens assembly 2 has a shorter total lens length, the refraction change of light is gentler after pass through the lens, and can effectively reduce the generation of aberration and the loss of peripheral brightness. When the condition (8) is satisfied, it ensures that the optical system has enough back focal length to assemble and focus the lens assembly 1.
By the above design of the lenses and stop ST2, the lens assembly 2 is provided with a shortened total lens length, an effective corrected aberration and an increased resolution.
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 3, which include the effective focal length, F-number, total lens length, radius of curvature of each lens surface in mm, thickness between adjacent surface in mm, refractive index of each lens and Abbe number of each lens, and surface number S21-S29 represent surfaces in sequence from the object side to the image side. Table 3 shows that the effective focal length is equal to 9.4848 mm, F-number is equal to 3.0 and total lens length is equal to 14.7115 mm for the lens assembly 2 of the second embodiment of the invention.
The aspheric surface sag z of each lens in table 3 can be calculated by the following formula:
z=ch
2/{1+[1−(k+1)c2h2]1/2}+Ah4+Bh6+Ch8+Dh10+Eh12+Fh14
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 and F are aspheric coefficients.
In the second embodiment, the conic constant k and the aspheric coefficients A, B, C, D, E, F of each surface are shown in Table 4.
For the lens assembly 2 of the second embodiment, the effective focal length f2 of the lens assembly 2 is equal to 9.4848 mm, the effective focal length f21 of the first lens L21 is equal to 9.2449 mm, the effective focal length f22 of the second lens L22 is equal to −3.4884 mm, the effective focal length f23 of the third lens L23 is equal to 4.5322 mm, the interval BFL2 from the image side surface S27 of the third lens L23 to the image plane IMA2 along the optical axis OA2 is equal to 9.5130 mm and the interval TTL2 from the object side surface S22 of the first lens L21 to the image plane IMA2 along the optical axis OA2 is equal to 14.7115 mm. According to the above data, the following values can be obtained:
f21/f2=0.975,
f22/f2=−0.368,
f23/f2=0.478,
BFL2/TTL2=0.647
which respectively satisfy the above conditions (5)-(8).
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
It can be seen from
Number | Date | Country | Kind |
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201510423565.5 | Jul 2015 | CN | national |