CN114967062B - Large-relative-aperture wide-spectrum optical system - Google Patents

Large-relative-aperture wide-spectrum optical system Download PDF

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CN114967062B
CN114967062B CN202210713077.8A CN202210713077A CN114967062B CN 114967062 B CN114967062 B CN 114967062B CN 202210713077 A CN202210713077 A CN 202210713077A CN 114967062 B CN114967062 B CN 114967062B
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focal length
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CN114967062A (en
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白剑
杨迎哲
李月佳
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Zhejiang University ZJU
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Abstract

The invention discloses a wide-spectrum optical system with large relative aperture, which comprises eleven lenses and an optical filter, wherein the eleven lenses and the optical filter are sequentially arranged along the light propagation direction; and the focal length of each lens and the focal length of the optical system meet a certain relation. The F number of the optical system reaches 1.5, the working wave band is 450nm-850nm, the image quality is good, and the detection requirement of the star sensor is met.

Description

Large-relative-aperture wide-spectrum optical system
Technical Field
The invention relates to the field of space optical systems, in particular to a large-relative-aperture wide-spectrum optical system.
Background
The star sensor is a high-precision space attitude measuring instrument with high precision, good autonomy and independent existence. The navigation positioning is realized by detecting the stars at different positions in the space by taking the starry sky as a working background and the stars as references. Currently, star sensors have been widely used in various fields such as aerospace, satellite communication, weather remote sensing, and dark star detection.
With the development of aerospace technology, the requirements of space science on the attitude precision of a spacecraft are increasing, and stars such as higher stars need to be detected so as to be used as reference targets. The performance of star sensors depends to a large extent on the performance of their optical systems. In order to improve the detection capability of star sensors, their optical systems are required to have a wider spectral range and a larger relative aperture.
And the increase of the visual field, the relative aperture and the spectral range of the optical system can influence the spherical aberration, the coma aberration, the distortion, the chromatic aberration and other aberration of the optical system, thereby increasing the design difficulty of the system. The optical system disclosed at present has the advantages that the relative aperture of the optical system with a large field of view is small, and the detection capability is limited; the angle of view with a large relative aperture is smaller, and the detection range is smaller; meanwhile, the spectrum range is narrow, and the requirements of an optical system with large relative aperture and wide spectrum cannot be met.
Disclosure of Invention
Aiming at the defects of the prior art, the invention provides a large relative aperture wide spectrum optical system which has large relative aperture and wide spectrum range, has excellent performance index and meets the detection requirement of a star sensor.
The aim of the invention is achieved by the following technical scheme:
a wide-spectrum optical system with large relative aperture comprises a first lens, a second lens, a third lens, a fourth lens, a fifth lens, a sixth lens, a seventh lens, an eighth lens, a ninth lens, a tenth lens, an eleventh lens and an optical filter which are sequentially arranged on the same optical axis along the light propagation direction; the left side of the first lens is an object plane, and the right side of the optical filter is an image plane;
the focal length f1 of the first lens and the focal length f of the optical system satisfy the relation: f1/f is less than or equal to 1.5 and less than or equal to 2;
the focal length f2 of the second lens and the focal length f of the optical system satisfy the relation: -2.5.ltoreq.f2/f.ltoreq.2;
the focal length f3 of the third lens and the focal length f of the optical system satisfy the relation: f3/f is more than or equal to 1 and less than or equal to 1.2;
the focal length f4 of the fourth lens and the focal length f of the optical system satisfy the relation: -1.1.ltoreq.f4/f.ltoreq.0.7;
the focal length f5 of the fifth lens and the focal length f of the optical system satisfy the relation: f5/f is more than or equal to 0.5 and less than or equal to 0.7;
the focal length f6 of the sixth lens and the focal length f of the optical system satisfy the relation: -0.8.ltoreq.f6/f.ltoreq.0.5;
the focal length f7 of the seventh lens and the focal length f of the optical system satisfy the relation: f7/f is more than or equal to 2.3 and less than or equal to 3.3;
the focal length f8 of the eighth lens and the focal length f of the optical system satisfy the relation: f8/f is more than or equal to 1.1 and less than or equal to 1.5;
the focal length f9 of the ninth lens and the focal length f of the optical system satisfy the relation: -14.ltoreq.f9/f.ltoreq.11;
the focal length f10 of the tenth lens and the focal length f of the optical system satisfy the relation: f10/f is more than or equal to 1.2 and less than or equal to 1.7;
the focal length f11 of the eleventh lens and the focal length f of the optical system satisfy the relation: -0.9.ltoreq.f11/f.ltoreq.0.6.
Further, the first lens, the third lens, the fifth lens and the eighth lens are all biconvex lenses with positive focal power; the second lens and the fourth lens are both meniscus lenses with negative focal power; the sixth lens is a biconcave lens with negative focal power; the seventh lens and the tenth lens are both meniscus lenses with positive focal power; the ninth lens and the eleventh lens are meniscus lenses with negative focal power.
Further, the filter is made of K9, a 450nm-850nm band-pass antireflection film is plated on the filter, and the distance between the front surface and the rear surface of the filter is 1 mm-1.5 mm.
Further, the focal length of each lens of the optical system and the refractive index corresponding to the focal length satisfy the following relation:
Figure BDA0003707653170000021
wherein f i For each lens focal length, n i C is the refractive index of each lens and is the optical power of the optical system.
Further, the refractive index of the material of the first lens is 1.6-1.65; the curvature radius of the front surface of the first lens is 189 mm-190 mm; the curvature radius of the back surface of the first lens is-2322 mm to-2325 mm; the thickness of the first lens is 16 mm-17 mm;
the refractive index of the material of the second lens is 1.85-1.9; the curvature radius of the front surface of the second lens is-355 mm to-360 mm; the curvature radius of the rear surface of the second lens is-4480 mm to-4485 mm; the thickness of the second lens is 6 mm-7 mm; the distance between the front surface of the second lens and the rear surface of the first lens is 7 mm-8 mm;
the refractive index of the material of the third lens is 1.9-1.95; the radius of curvature of the front surface of the third lens is 213 mm-215 mm; the curvature radius of the rear surface of the third lens is-1910 mm to-1913 mm; the thickness of the third lens is 14 mm-15 mm; the distance between the front surface of the third lens and the rear surface of the second lens is 36 mm-37 mm;
the refractive index of the material of the fourth lens is 1.8-1.85; the curvature radius of the front surface of the fourth lens is 6565 mm-6575 mm; the curvature radius of the rear surface of the fourth lens is 113-115 mm; the thickness of the fourth lens is 12 mm-13 mm; the distance between the front surface of the fourth lens and the rear surface of the third lens is 11 mm-12 mm;
the refractive index of the material of the fifth lens is 1.5-1.6; the curvature radius of the front surface of the fifth lens is 125 mm-127 mm; the curvature radius of the rear surface of the fifth lens is-135 mm to-140 mm; the thickness of the fifth lens is 23 mm-25 mm; the distance between the front surface of the fifth lens and the rear surface of the fourth lens is 9 mm-10 mm;
the refractive index of the material of the sixth lens is 1.7-1.8; the radius of curvature of the front surface of the sixth lens is-130 mm to-135 mm; the radius of curvature of the rear surface of the sixth lens is 150 mm-155 mm; the thickness of the sixth lens is 9.5 mm-10.5 mm; the distance between the front surface of the sixth lens and the rear surface of the fifth lens is 1.5 mm-2 mm;
the refractive index of the material of the seventh lens is 1.4-1.5, and the radius of curvature of the front surface of the seventh lens is 158-160 mm; the curvature radius of the rear surface of the seventh lens is 577 mm-580 mm; the thickness of the seventh lens is 11 mm-12 mm; the distance between the front surface of the seventh lens and the rear surface of the sixth lens is 26 mm-27 mm;
the refractive index of the material of the eighth lens is 1.4-1.5; the curvature radius of the front surface of the eighth lens is 144 mm-146 mm; the curvature radius of the rear surface of the eighth lens is-265 mm to-269 mm; the thickness of the eighth lens is 19 mm-20 mm; the distance between the front surface of the eighth lens and the rear surface of the seventh lens is 1 mm-1.5 mm;
the refractive index of the material of the ninth lens is 1.5-1.6; the radius of curvature of the front surface of the ninth lens is 69 mm-71 mm; the radius of curvature of the rear surface of the ninth lens is 58 mm-60 mm; the thickness of the ninth lens is 23 mm-24 mm; the distance between the front surface of the ninth lens and the rear surface of the eighth lens is 24 mm-25 mm;
the refractive index of the material of the tenth lens is 1.8-1.9; the radius of curvature of the front surface of the tenth lens is 100 mm-105 mm; the radius of curvature of the rear surface of the tenth lens is 170 mm-175 mm; the thickness of the tenth lens is 30 mm-32 mm; the distance between the front surface of the tenth lens and the rear surface of the ninth lens is 18 mm-19 mm;
the refractive index of the material of the eleventh lens is 1.6-1.7; the radius of curvature of the front surface of the eleventh lens is-83 mm to-85 mm; the curvature radius of the rear surface of the eleventh lens is-970 mm to-980 mm; the thickness of the eleventh lens is 5 mm-5.5 mm; the distance between the front surface of the eleventh lens and the rear surface of the tenth lens is 9mm to 9.5mm.
The beneficial effects of the invention are as follows:
1. the invention considers the application of the system space and the larger caliber of the optical lens, avoids using an aspheric lens and a large caliber cemented lens, and reduces the processing difficulty and the processing cost of the optical system.
2. The F number of the invention reaches 1.5, the working wave band is 450nm-850nm, the image quality is good within the 16-degree view field range, and the detection requirement of the star sensor is completely satisfied.
Drawings
FIG. 1 is a schematic diagram of an optical system according to an embodiment of the present invention;
FIG. 2 is a graph of MTF for an optical system provided by the present invention;
FIG. 3 is a standard point diagram of an optical system provided by the present invention;
FIG. 4 is a graph of field curvature distortion of an optical system provided by the present invention;
the reference numerals are as follows:
1-first lens, 2-second lens, 3-third lens, 4-fourth lens, 5-fifth lens, 6-sixth lens, 7-seventh lens, 8-eighth lens, 9-ninth lens, 10-tenth lens, 11-eleventh lens, 12-filter.
Detailed Description
The following description of the embodiments of the present invention will be made clearly and fully with reference to the accompanying drawings, in which it is evident that the embodiments described are some, but not all embodiments of the invention. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
In the description of the present invention, it should be noted that the terms "first," "second," and "second" are used for descriptive purposes only and are not to be construed as indicating or implying relative importance.
Illustratively, as shown in fig. 1, one embodiment of a large relative aperture wide spectrum optical system of the present invention is given, which adopts an eleven-sheet type lens structure including a first lens 1, a second lens 2, a third lens 3, a fourth lens 4, a fifth lens 5, a sixth lens 6, a seventh lens 7, an eighth lens 8, a ninth lens 9, a tenth lens 10, an eleventh lens 11, and an optical filter 12, which are sequentially disposed on the same optical axis in the light propagation direction.
Wherein the first lens 1 has positive optical power; the refractive index of the material of the first lens 1 is 1.6-1.65, and the focal length f thereof 1 The relation with the focal length f of the optical system is as follows: 1.5f<f 1 <2f; the radius of curvature of the front surface of the first lens 1 is 189mm to 190mm; the curvature radius of the back surface of the first lens 1 is-2322 mm to-2325 mm; the thickness of the first lens 1 is 16 mm-17 mm; the light apertures of the front surface and the rear surface of the first lens 1 are 120mm and 118.6mm respectively;
the second lens 2 has negative optical power; the refractive index of the material of the second lens 2 is 1.85-1.9, and the focal length f thereof 2 The relation with the focal length f of the optical system is as follows: -2.5f<f 2 <-2f; the curvature radius of the front surface of the second lens 2 is-355 mm to-360 mm; the curvature radius of the rear surface of the second lens 2 is-4480 mm to-4485 mm; the thickness of the second lens 2 is 6 mm-7 mm; the distance between the front surface of the second lens 2 and the rear surface of the first lens 1 is 7 mm-8 mm;
the third lens 3 has positive optical power; the refractive index of the material of the third lens 3 is 1.9-1.95, and the focal length f thereof 3 The relation with the focal length f of the optical system is as follows: 1f<f 3 <1.2f; the radius of curvature of the front surface of the third lens 3 is 213 mm-215 mm; the curvature radius of the rear surface of the third lens 3 is-1910 mm to-1913 mm; the thickness of the third lens 3 is 14 mm-15 mm; the distance between the front surface of the third lens 3 and the rear surface of the second lens 2 is 36 mm-37 mm;
the fourth lens 4 has negative optical power; the refractive index of the material of the fourth lens 4 is 1.8-1.85, and the focal length f thereof 4 The relation with the focal length f of the optical system is as follows: -1.1f<f 4 <-0.7f; the curvature radius of the front surface of the fourth lens 4 is 6565 mm-6575 mm; the curvature radius of the rear surface of the fourth lens 4 is 113 mm-115 mm; the thickness of the fourth lens 4 is 12 mm-13 mm; the distance between the front surface of the fourth lens 4 and the rear surface of the third lens 3 is 11 mm-12 mm;
the fifth lens 5 has positive optical power; the refractive index of the material of the fifth lens 5 is 1.5-1.6, and the focal length f thereof 5 The relation with the focal length f of the optical system is as follows: 0.5f<f 5 <0.7f; curvature of front surface of fifth lens 5The radius of the rate is 125 mm-127 mm; the curvature radius of the rear surface of the fifth lens 5 is-135 mm to-140 mm; the thickness of the fifth lens 5 is 23 mm-25 mm; the distance between the front surface of the fifth lens 5 and the rear surface of the fourth lens 4 is 9 mm-10 mm;
the sixth lens 6 has negative optical power; the refractive index of the material of the sixth lens 6 is 1.7-1.8, the focal length f 6 The relation with the focal length f of the optical system is as follows: -0.5f<f 6 <-0.8f; the radius of curvature of the front surface of the sixth lens 6 is-130 mm to-135 mm; the radius of curvature of the rear surface of the sixth lens 6 is 150 mm-155 mm; the thickness of the sixth lens 6 is 9.5 mm-10.5 mm; the distance between the front surface of the sixth lens 6 and the rear surface of the fifth lens 5 is 1.5 mm-2 mm;
the seventh lens 7 has positive optical power; the seventh lens is SILICA and has focal length f 7 The relation with the focal length f of the optical system is as follows: 2.3f<f 7 <3.3f; the radius of curvature of the front surface of the seventh lens 7 is 158 mm-160 mm; the radius of curvature of the rear surface of the seventh lens 7 is 577 mm-580 mm; the thickness of the seventh lens 7 is 11 mm-12 mm; the distance between the front surface of the seventh lens 7 and the rear surface of the sixth lens 6 is 26 mm-27 mm;
the eighth lens 8 has positive optical power; the refractive index of the material of the eighth lens 8 is 1.4-1.5, the focal length f 8 The relation with the focal length f of the optical system is as follows: 1.1f<f 8 <1.5f; the curvature radius of the front surface of the eighth lens 8 is 144 mm-146 mm; the radius of curvature of the rear surface of the eighth lens 8 is-265 mm to-269 mm; the thickness of the eighth lens 8 is 19 mm-20 mm; the distance between the front surface of the eighth lens 8 and the rear surface of the seventh lens 7 is 1 mm-1.5 mm;
the ninth lens 9 has negative optical power; the refractive index of the material of the ninth lens 9 is 1.5-1.6, the focal length f thereof 9 The relation with the focal length f of the optical system is as follows: -14<f 9 <-11f; the radius of curvature of the front surface of the ninth lens 9 is 69 mm-71 mm; the radius of curvature of the rear surface of the ninth lens 9 is 58 mm-60 mm; the thickness of the ninth lens 9 is 23 mm-24 mm; the distance between the front surface of the ninth lens 9 and the rear surface of the eighth lens 8 is 24 mm-25 mm;
the tenth lens 10 has positive optical power; the refractive index of the material of the tenth lens 10 is 1.8-1.9, the focal length f thereof 10 The relation with the focal length f of the optical system is as follows: 1.2f<f 10 <1.7f; the radius of curvature of the front surface of the tenth lens 10 is 100mm to 105mm; the radius of curvature of the rear surface of the tenth lens 10 is 170mm to 175mm; the thickness of the tenth lens 10 is 30 mm-32 mm; the distance between the front surface of the tenth lens 10 and the rear surface of the ninth lens 9 is 18 mm-19 mm;
the eleventh lens 11 has negative optical power; the refractive index of the material of the eleventh lens 11 is 1.6-1.7, the focal length f thereof 11 The relation with the focal length f of the optical system is as follows: -0.9f<f 11 <-0.6f; the radius of curvature of the front surface of the eleventh lens 11 is-83 mm to-85 mm; the radius of curvature of the rear surface of the eleventh lens 11 is-970 mm to-980 mm; the thickness of the eleventh lens 11 is 5 mm-5.5 mm; the distance between the front surface of the eleventh lens 11 and the rear surface of the tenth lens 10 is 9mm to 9.5mm;
the material of the optical filter 12 is K9, the front surface and the rear surface of the optical filter 12 are both planes, the optical filter 12 is plated with a 450nm-850nm band-pass antireflection film, the distance between the front surface and the rear surface of the optical filter 12 is 1 mm-1.5 mm, and the light transmission apertures of the front surface and the rear surface of the optical filter 12 are 26.9mm and 26.8mm respectively; the distance between the front surface of the optical filter 12 and the rear surface of the eleventh lens 11 is 4.5 mm-5 mm; the distance from the rear surface of the optical filter 12 to the image surface of the detector is 11 mm-12 mm.
The focal length of each lens of the optical system and the refractive index corresponding to the focal length satisfy the following relation:
Figure BDA0003707653170000051
f in the above i For each lens focal length, n i The refractive index of each lens.
Fig. 2 to 4 are graphs of optical performance of the present invention applied to the embodiments, taking 5 fields of view, respectively 0 °,5 °,8 °,12 °, 16 °, wherein:
fig. 2 is a graph of MTF for an optical system of the present invention, from which it can be seen that the full field MTF for the optical system is greater than 0.4 at 33 lp/mm.
Fig. 3 is a dot column diagram of the optical system of the present invention, from which it can be seen that the optical system has a uniform size of diffuse spots in the full field of view and excellent image quality.
Fig. 4 is a graph of field curvature and distortion of the optical system of the present invention, from which it can be seen that the optical system has a distortion of less than 1% across the field of view.
It will be appreciated by persons skilled in the art that the foregoing description is a preferred embodiment of the invention, and is not intended to limit the invention, but rather to limit the invention to the specific embodiments described, and that modifications may be made to the technical solutions described in the foregoing embodiments, or equivalents may be substituted for elements thereof, for the purposes of those skilled in the art. Modifications, equivalents, and alternatives falling within the spirit and principles of the invention are intended to be included within the scope of the invention.

Claims (4)

1. The large-relative-aperture wide-spectrum optical system is characterized by comprising a first lens, a second lens, a third lens, a fourth lens, a fifth lens, a sixth lens, a seventh lens, an eighth lens, a ninth lens, a tenth lens, an eleventh lens and an optical filter which are sequentially arranged on the same optical axis along the light propagation direction;
the focal length f1 of the first lens and the focal length f of the optical system satisfy the relation: f1/f is less than or equal to 1.5 and less than or equal to 2;
the focal length f2 of the second lens and the focal length f of the optical system satisfy the relation: -2.5.ltoreq.f2/f.ltoreq.2;
the focal length f3 of the third lens and the focal length f of the optical system satisfy the relation: f3/f is more than or equal to 1 and less than or equal to 1.2;
the focal length f4 of the fourth lens and the focal length f of the optical system satisfy the relation: -1.1.ltoreq.f4/f.ltoreq.0.7;
the focal length f5 of the fifth lens and the focal length f of the optical system satisfy the relation: f5/f is more than or equal to 0.5 and less than or equal to 0.7;
the focal length f6 of the sixth lens and the focal length f of the optical system satisfy the relation: -0.8.ltoreq.f6/f.ltoreq.0.5;
the focal length f7 of the seventh lens and the focal length f of the optical system satisfy the relation: f7/f is more than or equal to 2.3 and less than or equal to 3.3;
the focal length f8 of the eighth lens and the focal length f of the optical system satisfy the relation: f8/f is more than or equal to 1.1 and less than or equal to 1.5;
the focal length f9 of the ninth lens and the focal length f of the optical system satisfy the relation: -14.ltoreq.f9/f.ltoreq.11;
the focal length f10 of the tenth lens and the focal length f of the optical system satisfy the relation: f10/f is more than or equal to 1.2 and less than or equal to 1.7;
the focal length f11 of the eleventh lens and the focal length f of the optical system satisfy the relation: -0.9.ltoreq.f11/f.ltoreq.0.6;
the focal length of each lens of the optical system and the refractive index corresponding to the focal length satisfy the following relation:
Figure DEST_PATH_IMAGE002A
wherein f i For each lens focal length, n i C is the refractive index of each lens and is the optical power of the optical system.
2. The large relative aperture broad spectrum optical system as claimed in claim 1 wherein the first, third, fifth and eighth lenses are all biconvex lenses having positive optical power; the second lens and the fourth lens are both meniscus lenses with negative focal power; the sixth lens is a biconcave lens with negative focal power; the seventh lens and the tenth lens are both meniscus lenses with positive focal power; the ninth lens and the eleventh lens are meniscus lenses with negative focal power.
3. The large relative aperture broad spectrum optical system as in claim 1, wherein the filter is made of K9, a 450nm-850nm band-pass anti-reflection film is coated on the filter, and the distance between the front surface and the back surface of the filter is 1 mm-1.5 mm.
4. The large relative aperture broad spectrum optical system as claimed in claim 1, wherein,
the refractive index of the material of the first lens is 1.6-1.65; the curvature radius of the front surface of the first lens is 188 mm-190 mm; the curvature radius of the rear surface of the first lens is-2322 mm to-2325 mm; the thickness of the first lens is 16 mm-17 mm;
the refractive index of the material of the second lens is 1.85-1.9; the curvature radius of the front surface of the second lens is-355 mm to-360 mm; the curvature radius of the rear surface of the second lens is-4480 mm to-4485 mm; the thickness of the second lens is 6 mm-7 mm; the distance between the front surface of the second lens and the rear surface of the first lens is 7 mm-8 mm;
the refractive index of the material of the third lens is 1.9-1.95; the curvature radius of the front surface of the third lens is 213mm-215 mm; the curvature radius of the rear surface of the third lens is-1910 mm to-1913 mm; the thickness of the third lens is 14 mm-15 mm; the distance between the front surface of the third lens and the rear surface of the second lens is 36 mm-37 mm;
the refractive index of the material of the fourth lens is 1.8-1.85; the curvature radius of the front surface of the fourth lens is 6565 mm-6575 mm; the curvature radius of the rear surface of the fourth lens is 113 mm-115 mm; the thickness of the fourth lens is 12 mm-13 mm; the distance between the front surface of the fourth lens and the rear surface of the third lens is 11 mm-12 mm;
the refractive index of the material of the fifth lens is 1.5-1.6; the curvature radius of the front surface of the fifth lens is 125 mm-127 mm; the curvature radius of the rear surface of the fifth lens is-135 mm to-140 mm; the thickness of the fifth lens is 23 mm-25 mm; the distance between the front surface of the fifth lens and the rear surface of the fourth lens is 9 mm-10 mm;
the refractive index of the material of the sixth lens is 1.7-1.8; the radius of curvature of the front surface of the sixth lens is-130 mm to-135 mm; the curvature radius of the rear surface of the sixth lens is 150 mm-155 mm; the thickness of the sixth lens is 9.5 mm-10.5 mm; the distance between the front surface of the sixth lens and the rear surface of the fifth lens is 1.5 mm-2 mm;
the refractive index of the material of the seventh lens is 1.4-1.5, and the radius of curvature of the front surface of the seventh lens is 158-160 mm; the curvature radius of the rear surface of the seventh lens is 577 mm-580 mm; the thickness of the seventh lens is 11 mm-12 mm; the distance between the front surface of the seventh lens and the rear surface of the sixth lens is 26 mm-27 mm;
the refractive index of the material of the eighth lens is 1.4-1.5; the curvature radius of the front surface of the eighth lens is 144-146 mm; the curvature radius of the rear surface of the eighth lens is minus 265mm to minus 269mm; the thickness of the eighth lens is 19 mm-20 mm; the distance between the front surface of the eighth lens and the rear surface of the seventh lens is 1 mm-1.5 mm;
the refractive index of the material of the ninth lens is 1.5-1.6; the curvature radius of the front surface of the ninth lens is 69 mm-71 mm; the curvature radius of the rear surface of the ninth lens is 58 mm-60 mm; the thickness of the ninth lens is 23 mm-24 mm; the distance between the front surface of the ninth lens and the rear surface of the eighth lens is 24 mm-25 mm;
the refractive index of the material of the tenth lens is 1.8-1.9; the curvature radius of the front surface of the tenth lens is 100 mm-105 mm; the curvature radius of the rear surface of the tenth lens is 170 mm-175 mm; the thickness of the tenth lens is 30 mm-32 mm; the distance between the front surface of the tenth lens and the rear surface of the ninth lens is 18 mm-19 mm;
the refractive index of the material of the eleventh lens is 1.6-1.7; the radius of curvature of the front surface of the eleventh lens is-83 mm to-85 mm; the curvature radius of the rear surface of the eleventh lens is-970 mm to-980 mm; the thickness of the eleventh lens is 5 mm-5.5 mm; the distance between the front surface of the eleventh lens and the rear surface of the tenth lens is 9 mm-9.5 mm.
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