Stochastic optimization for adaptive real-time wavefront correction

作     者：Zakynthinaki, MS Saridakis, YG 

作者机构：Tech Univ Crete Appl Math & Comp Lab GR-73100 Khania Crete Greece 

出 版 物：《NUMERICAL ALGORITHMS》 

年 卷 期：2003年第33卷第1-4期

页      面：509-520页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：stochastic optimization ALOPEX algorithm adaptive wavefront correction Zernike polynomials deformable mirror masking 

摘      要：We have investigated the performance of an adaptive optics system subjected to changing atmospheric conditions, under the guidance of the ALOPEX stochastic optimization. Atmospheric distortions are smoothed out by means of a deformable mirror, the shape of which can be altered in order to follow the rapidly changing atmospheric phase fluctuations. In a simulation model, the total intensity of the light measured on a central area of the image (masking area) is used as the cost function for our stochastic optimization algorithm, while the surface of the deformable mirror is approximated by a Zernike polynomial expansion. Atmospheric turbulence is simulated by a number of Kolmogorov filters. The method s effectiveness, that is its ability to follow the motion of the turbulent wavefronts, is studied in detail and as it pertains to the size of the mirror s masking area, to the number of Zernike polynomials used and to the degree of the algorithm s stochasticity in relation to the mean rate of change of atmospheric distortions. Computer simulations and a series of numerical experiments are reported to show the successful implementation of the method.