Correction of Misaligned Error of Large Aperture Thin Film Splicing Mirrors Based on Stochastic Parallel Gradient Descent Algorithm

Lujia Zhao; Licheng Zhu; Lianghua Wen; Ping Yang; Shijie Hu

doi:10.3788/LOP57.193101

Laser & Optoelectronics Progress, Volume. 57, Issue 19, 193101(2020)

Correction of Misaligned Error of Large Aperture Thin Film Splicing Mirrors Based on Stochastic Parallel Gradient Descent Algorithm

Lujia Zhao^1,2,3, Licheng Zhu^1,2,3, Lianghua Wen^1,2,4、**, Ping Yang^1,2, and Shijie Hu^1,2、*

Author Affiliations

¹Laboratory on Adaptive Optics, Chinese Academy of Sciences, Chengdu, Sichuan 610200, China

²Institution of Optics and Electronics, Chinese Academy of Sciences, Chengdu, Sichuan 610200, China

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

⁴School of Physics and Electronic Engineering, Yibin University, Yibin, Sichuan 644000, China

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Fig. 1. MORIE real-time imaging system^[10]. (a) Diagram of the MORIE imaging system; (b) diagram of splicing structure in the MORIE system

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Fig. 2. Splicing model of FZP

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Fig. 3. Flowchart of SPGD to correct the misalignment error of splicing mirror

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Fig. 4. Statistical information of initial wavefront. (a) PV distribution diagram; (b) RMS distribution diagram; (c) SR distribution diagram

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Fig. 5. Optimization curves of five evaluation indexes. (a) Curve of J₁; (b) curve of J₂; (c) curve of J₃; (d) curve of J₄; (e) curve of J₅

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Fig. 6. Statistical average optimization curves. (a) Curve of J₁; (b) curve of J₂; (c) curve of J₃; (d) curve of J₄; (e) curve of J₅

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Fig. 7. Histograms of optimized wavefront residual RMS value. (a) Histogram of J₁; (b) histogram of J₂; (c) histogram of J₃; (d) histogram of J₄; (e) histogram of J₅

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Fig. 8. Histograms of wavefront residual SR value. (a) Histogram of J₁; (b) histogram of J₂; (c) histogram of J₃; (d) histogram of J₄; (e) histogram of J₅

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Table 1. Gain step size and the ideal value of five optimization indexes
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Table 1. Gain step size and the ideal value of five optimization indexes
Optimization index J₁ J₂ J₃ J₄ J₅
Gain step 260 -10 10 0.125 340
Ideal value 0.0089 6.1021 0.6599 117.0801 0.9523

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Lujia Zhao, Licheng Zhu, Lianghua Wen, Ping Yang, Shijie Hu. Correction of Misaligned Error of Large Aperture Thin Film Splicing Mirrors Based on Stochastic Parallel Gradient Descent Algorithm[J]. Laser & Optoelectronics Progress, 2020, 57(19): 193101

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