Wavefront Correction Based on K‑L Modes by SPGD Control Algorithm

Huizhen Yang; Hang Su; Zhiguang Zhang

doi:10.3788/CJL221050

Chinese Journal of Lasers, Volume. 50, Issue 14, 1405001(2023)

Wavefront Correction Based on K‑L Modes by SPGD Control Algorithm

Huizhen Yang^1,2, Hang Su¹, and Zhiguang Zhang^1、*

Author Affiliations

¹School of Electronic Engineering, Jiangsu Ocean University, Lianyungang 222005, Jiangsu,China

²School of Network and Communication Engineering, Jinling Institute of Technology, Nanjing 211169, Jiangsu,China

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Figures & Tables(9)

Fig. 1. Covariance matrix of first six modes of Zernike mode system

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Fig. 2. Covariance matrix of first six modes of K-L mode system

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Fig. 3. Fitting curves of two element deformable mirrors to two modes

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Fig. 4. Comparison of fitting ability of four deformable mirrors to polynomials of two modes

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Fig. 5. Comparison of correction results among SPGD algorithms based on two modes and conventional SPGD algorithm. (a) $R_{M R}$ ; (b) SR

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Fig. 6. Comparison of correction results between SPGD algorithms based on two modes when D/r₀=10. (a) $R_{M R}$ ; (b) SR

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Fig. 7. Comparison of correction results between SPGD algorithms based on two modes when D/r₀=15. (a) $R_{M R}$ ; (b) SR

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Fig. 8. Comparison of correction results between SPGD algorithms based on two modes when D/r₀=20. (a) $R_{M R}$ ; (b) SR

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Table 1. Comparison of correction results between SPGD algorithms based on two modes
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Table 1. Comparison of correction results between SPGD algorithms based on two modes
D/r₀ Modal method Iteration number Final convergence value of SR
10 K-L 173 0.525
Zernike 248 0.509
15 K-L 110 0.286
Zernike 179 0.254
20 K-L 188 0.154
Zernike 265 0.138

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Huizhen Yang, Hang Su, Zhiguang Zhang. Wavefront Correction Based on K‑L Modes by SPGD Control Algorithm[J]. Chinese Journal of Lasers, 2023, 50(14): 1405001

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