Theoretical analysis of adaptive optics system based on stochastic parallel gradient descent algorithm

Hui-zhen Yang , Xin-yang Li

Optoelectronics Letters ›› 2010, Vol. 6 ›› Issue (6) : 426 -428.

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Optoelectronics Letters ›› 2010, Vol. 6 ›› Issue (6) : 426 -428. DOI: 10.1007/s11801-010-9235-z
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Theoretical analysis of adaptive optics system based on stochastic parallel gradient descent algorithm

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Abstract

The adaptive optics (AO) technology without a wave-front sensor is simple and has more application fields than conventional AO technologies. The theory basis of the AO system based on stochastic parallel gradient descent (SPGD) from the convergence, the stability, and the averaged convergence rate is analyzed, where SPGD is used to control the AO system. The results show that the AO system based on SPGD can obtain good convergence and stability, and the fast convergence rate, which is in inverse proportion to

\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$\sqrt n $$\end{document}
(n is the number of control parameters).

Keywords

Convergence Rate / Adaptive Optic / Fast Convergence Rate / Adaptive Optic System / Stochastic Parallel Gradient Descent

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Hui-zhen Yang, Xin-yang Li. Theoretical analysis of adaptive optics system based on stochastic parallel gradient descent algorithm. Optoelectronics Letters, 2010, 6(6): 426-428 DOI:10.1007/s11801-010-9235-z

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