Design of Off-Axis All-Reflective Three-Gear Zoom Optical System with Long Focal Length

Yiqing Cao

doi:10.3788/LOP202360

Laser & Optoelectronics Progress, Volume. 60, Issue 19, 1908001(2023)

Design of Off-Axis All-Reflective Three-Gear Zoom Optical System with Long Focal Length

Yiqing Cao^1,2、*

Author Affiliations

¹School of Mechanical and Electrical Information Engineering, Putian University, Putian 351100, Fujian, China

²Fujian Laser Precision Machining Engineering Technology Research Center, Putian 351100, Fujian, China

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Figures & Tables(9)

Fig. 1. Structure and optical scheme of coaxial four-mirror reflective zoom optical system

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Fig. 2. Flow chart of solving initial structure parameters of coaxial four-reflective mirrors zoom optical system using adaptive variation probability genetic algorithm

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Fig. 3. Structure and optical scheme of off-axis four-mirror reflective three-gear zoom optical system. (a) $f^{'} = 300 m m$ ; (b) $f^{'} = 600 m m$ ; (c) $f^{'} = 900 m m$

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Fig. 4. MTF curve diagram of off-axis four-mirror reflective three-gear zoom optical system.（a） $f^{'} = 300 m m$ ；（b） $f^{'} = 600 m m$ ；（c） $f^{'} = 900 m m$

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Table 1. Structural parameters of off-axial four-mirror reflective three-gear zoom optical system

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Table 1. Structural parameters of off-axial four-mirror reflective three-gear zoom optical system

Surface	Type	Radius /mm	Thickness /mm
Surface	Type	Radius /mm	$f^{'} = 300 m m$	$f^{'} = 600 m m$	$f^{'} = 900 m m$
STOP	Standard	Inifinity	150.00
	Coordinate Break		0.00
M₁	Even Asphere	-291.67	0.00
	Coordinate Break		-105.44
M₂	Even Asphere	-121.36	0.00
	Coordinate Break		141.82	118.73	112.19
M₃	Even Asphere	477.05	0.00
	Coordinate Break		-135.35	-116.87	-108.46
M₄	Even Asphere	132.27	118.30	169.87	230.43

Table 2. Aspherical coefficients of each reflective mirror

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Table 2. Aspherical coefficients of each reflective mirror

Mirror	Aspherical cofficient
Mirror	Conic	4^th order term	6^th order term	8^th order term	10^th order term
M₁	-1.114	-2.051×10^-10	-3.742×10^-15	2.194×10^-19	-3.764×10^-24
M₂	-3.544	6.310×10^-8	-5.512×10^-12	-2.048×10^-16	5.376×10^-20
M₃	16.528	5.847×10^-8	-6.097×10^-12	1.745×10^-16	-1.807×10^-20
M₄	-0.307	1.639×10^-8	-5.011×10^-12	1.830×10^-15	-2.237×10^-19

Table 3. Final tilts and decenters of each mirror
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Table 3. Final tilts and decenters of each mirror
Mirror Tilt along X axis /（°） Decenter along Y axis /mm
M₁ 1.200 -130.000
M₂ -0.778 1.421
M₃ -10.526 -87.322
M₄ -5.729 57.525

Table 4. Field of view angle selected for imaging performance analysis of optical system

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Table 4. Field of view angle selected for imaging performance analysis of optical system

No.	$f^{'} = 300 m m$		$f^{'} = 600 m m$		$f^{'} = 900 m m$
No.	X /（°）	Y /（°）	X /（°）	Y /（°）	X /（°）	Y /（°）
1	-0.2	-0.3	-0.15	-0.2	-0.1	-0.1
2	-0.14	-0.21	-0.105	-0.14	0.07	0.07
3	0	0	0	0	0	0
4	0.14	0.21	0.105	0.14	0.07	0.07
5	0.2	0.3	0.15	0.2	0.1	0.1

Table 5. RMS radii of spot diagram of field of view angles listed in Table 4 at three-gear zoom position of optical system

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Table 5. RMS radii of spot diagram of field of view angles listed in Table 4 at three-gear zoom position of optical system

Field of view angle /（°）	RMS radius /μm	Field of view angle /（°）	RMS radius /μm	Field of view angle /（°）	RMS radius /μm
Field of view angle /（°）	$f^{'} = 300 m m$	Field of view angle /（°）	$f^{'} = 600 m m$	Field of view angle /（°）	$f^{'} = 900 m m$
（-0.2°，-0.3°）	9.039	（-0.15°，-0.2°）	11.529	（-0.1°，-0.1°）	7.665
（-0.14°，-0.21°）	7.187	（-0.105°，-0.14°）	6.685	（-0.07°，-0.07°）	7.205
（0°，0°）	4.019	（0°，0°）	6.431	（0°，0°）	6.454
（0.14°，0.21°）	5.548	（0.105°，0.14°）	4.482	（0.07°，0.07°）	5.857
（0.2°，0.3°）	6.910	（0.15°，0.2°）	4.087	（0.1°，0.1°）	5.908

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Yiqing Cao. Design of Off-Axis All-Reflective Three-Gear Zoom Optical System with Long Focal Length[J]. Laser & Optoelectronics Progress, 2023, 60(19): 1908001

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Paper Information

Category: Geometric Optics

Received: Nov. 25, 2021

Accepted: Jan. 21, 2022

Published Online: Aug. 29, 2023

The Author Email: Cao Yiqing (caoyiqing1987@163.com)

DOI:10.3788/LOP202360

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Structural parameters of off-axial four-mirror reflective three-gear zoom optical system

Table 1. Structural parameters of off-axial four-mirror reflective three-gear zoom optical system

Table 2. Aspherical coefficients of each reflective mirror

Table 2. Aspherical coefficients of each reflective mirror

Table 3. Final tilts and decenters of each mirror

Table 3. Final tilts and decenters of each mirror

Table 4. Field of view angle selected for imaging performance analysis of optical system

Table 4. Field of view angle selected for imaging performance analysis of optical system

Table 5. RMS radii of spot diagram of field of view angles listed in Table 4 at three-gear zoom position of optical system

Table 5. RMS radii of spot diagram of field of view angles listed in Table 4 at three-gear zoom position of optical system