Solution Distribution Guidance Strategy for Multi‐Objective Parallel Optimization for ab Initio Lens Design

Xiaobing Liu; Xingxiang Zhang; Tianjiao Fu; Duo Wang

doi:10.3788/AOS250674

Acta Optica Sinica, Volume. 45, Issue 16, 1622002(2025)

Solution Distribution Guidance Strategy for Multi‐Objective Parallel Optimization for ab Initio Lens Design

Xiaobing Liu^2,3, Xingxiang Zhang², Tianjiao Fu², and Duo Wang^1、*

¹School of Integrated Circuits (School of Information and Electronic Engineering), Shanghai Jiao Tong University, Shanghai 200240, China

²Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, Jilin , China

³University of Chinese Academy of Sciences, Beijing 100049, China

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Figures & Tables(7)

Fig. 1. Schematic diagram of DESG-GD

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Fig. 2. Optimization workflow of DESG-GD start-free optical design

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Fig. 3. Comparison of DESG-GD output results with the system configurations and RMS spot size of patents. (a) Initial structure of the 4-lens systems optimized by DESG-GD; (b) 4-lens system patent optimized by CodeV to specified specification; (c) initial structure of the double Gaussian lens optimized by DESG-GD; (d) structure after optimization by CodeV; (e) Zemax double Gaussian patent; (f) patent after optimization by CodeV

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Fig. 4. Comparison results of the optimal RMS spot size, valid rate, and diversity over fifty experiments. (a)‒(c) 4-lens system;

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Table 1. Design specifications of 4-lens system and double Gaussian system

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Table 1. Design specifications of 4-lens system and double Gaussian system

Specification	4-lens system	Double Gaussian system
EFL /mm	10	100
F#	2	3
FOV /（°）	40	28
Wavelength /nm	486‒656	486‒656
Back focal length	3‒15	20‒100
Glass thickness range /mm	0.3‒5	1‒15
Min glass edge thickness /mm	0.2	0.5
Air thickness range /mm	0.1‒5	0.5‒15
Min air edge thickness /mm	0.1	0.5

Table 2. Average of 50 experimental results from 4-lens system
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Table 2. Average of 50 experimental results from 4-lens system
Method
Min
RMS /μm
Valid
rate /%
Number of
distinct outputs
GD 4.658 0.45 2.6
GISG-GD 4.622 7.96 10.16
GISG-GD-25 4.620 12.41 11.04
DESG-GD 4.598 10.36 13.04

Table 3. Average of 50 experimental results from double Gaussian system
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Table 3. Average of 50 experimental results from double Gaussian system
Method
Min
RMS /μm
Valid
rate /%
Number of
distinct outputs
GD 18.236 0.01 0.26
GISG-GD 14.946 23.99 90.34
GISG-GD-25 15.954 36.21 65.76
DESG-GD 12.598 57.55 130.56

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Xiaobing Liu, Xingxiang Zhang, Tianjiao Fu, Duo Wang. Solution Distribution Guidance Strategy for Multi‐Objective Parallel Optimization for ab Initio Lens Design[J]. Acta Optica Sinica, 2025, 45(16): 1622002

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