Design of a Compact Infrared Continuous Optical Zoom System Based on Alvarez Lenses

Qi Ouyang; Mengyao Liu; Yan Ning; Jie Cao; Qun Hao; Yang Cheng

doi:10.3788/LOP232324

Laser & Optoelectronics Progress, Volume. 61, Issue 10, 1022001(2024)

Design of a Compact Infrared Continuous Optical Zoom System Based on Alvarez Lenses

Qi Ouyang^1,2, Mengyao Liu¹, Yan Ning³, Jie Cao^1,2, Qun Hao^1,2, and Yang Cheng^1,2、*

¹Key Laboratory of Biomimetic Robots and Systems Ministry of Education, Beijing Institute of Technology, Beijing 100081, China

²Yangtze Delta Region Academy of Beijing Institute of Technology, Jiaxing 314003, Zhejiang, China

³Xi'an Modern Control Technology Research Institute, China North Industries Group Corporation Limited, Xi'an 710065, Shaanxi, China

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Figures & Tables(12)

Fig. 1. Schematic diagram of the Alvarez lenses

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Fig. 2. Varifocal schematic diagrams of the Alvarez lenses. (a) The focal power is 0; (b) the focal power is more than 0; (c) the focal power is less than 0

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Fig. 3. Initiating structure analysis of the optical zoom system using thin lens zoom principle

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Fig. 4. 3D views of the infrared continuous optical zoom system based on Alvarez lenses

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Fig. 5. The relationship between the optical magnification and the lateral displacement of two sets of Alvarez lenses

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Fig. 6. Standard point column diagrams under different configurations

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Fig. 7. MTF curves and field curve/distortion diagrams under different configurations. (a) (c) (e) MTF curves at 5 ×, 10 ×, 15 ×; (b) (d) (f) field curvature/distortion diagrams at 5 ×, 10 ×, 15 ×

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Table 1. Design indicators of infrared continuously optical zoom system

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Table 1. Design indicators of infrared continuously optical zoom system

Parameter	Specification
Wave band /μm	8‒12
Full field of view /（°）	2‒6
Entrance pupil diameter /mm	2‒6
Exit pupil diameter /mm	0.4
Working F number	2
Magnification	5×‒15×
Distortion /%	Less than 2.1
Total track length /mm	73.6

Table 2. Characteristic parameters of two sets of Alvarez lenses
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Table 2. Characteristic parameters of two sets of Alvarez lenses
Alvarez lenses No. A /mm^-2 D E /mm δ /mm
5× 10× 15×
Alvarez lenses 1 0.007 0.071 1.500 1.003 0.913 0.892
Alvarez lenses 2 0.081 -0.148 1.500 0.465 0.826 1.191

Table 3. The tolerance operand selected by the optical zoom system

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Table 3. The tolerance operand selected by the optical zoom system

Tolerance	Operator	Item	Target
Material	TIND	Index	0.001
Material	TABB	Abbe	1
Surfacequality	TIRR	Irregularity	0.2
Thickness	TTHI	Thickness /mm	0.1
Surfacetolerance	TSDX（Y）	Decenter /mm	0.02
Surfacetolerance	TSTX（Y）	Tilt /（°）	0.04
Element	TEDX（Y）	Decenter /mm	0.02
Element	TETX（Y）	Tilt /（°）	0.04

Table 4. Estimated radius of spot RMS under different configurations for tolerance analysis

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Table 4. Estimated radius of spot RMS under different configurations for tolerance analysis

5×	10×	15×
Nominal：0.321	Nominal：0.772	Nominal：3.645
Best：0.327	Best：1.083	Best：3.353
Worst：3.521	Worst：10.678	Worst：24.938
Mean：1.277	Mean：4.135	Mean：10.187
Standard Deviation：0.454	Standard deviation：1.500	Standard deviation：3.812

Table 5. Analysis of lateral displacement offset error at different magnifications

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Table 5. Analysis of lateral displacement offset error at different magnifications

Magnification	Transverse displacement error /mm	RMS radius /μm
Magnification	Transverse displacement error /mm	FOV 1	FOV 2	FOV 3
5×		0°	2.1°	3°
	0.01	1.516	1.647	2.035
	0.001	0.592	0.755	1.199
10×		0°	1.4°	2°
	0.01	4.350	4.632	4.052
	0.001	1.804	2.034	1.701
15×		0°	0.7°	1°
	0.01	9.330	10.214	10.466
	0.001	6.794	6.829	6.936

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Qi Ouyang, Mengyao Liu, Yan Ning, Jie Cao, Qun Hao, Yang Cheng. Design of a Compact Infrared Continuous Optical Zoom System Based on Alvarez Lenses[J]. Laser & Optoelectronics Progress, 2024, 61(10): 1022001

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