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自适应光学随机并行梯度下降算法波前整形规律仿真

王卫兵 王挺峰 郭劲

王卫兵, 王挺峰, 郭劲. 自适应光学随机并行梯度下降算法波前整形规律仿真[J]. 中国光学, 2014, 7(3): 411-420. doi: 10.3788/CO.20140703.0411
引用本文: 王卫兵, 王挺峰, 郭劲. 自适应光学随机并行梯度下降算法波前整形规律仿真[J]. 中国光学, 2014, 7(3): 411-420. doi: 10.3788/CO.20140703.0411
WANG Wei-bing, WANG Ting-feng, GUO Jin. Simulation on the law of wave-front shaping with stochastic parallel gradient descent algorithm for adaptive optics[J]. Chinese Optics, 2014, 7(3): 411-420. doi: 10.3788/CO.20140703.0411
Citation: WANG Wei-bing, WANG Ting-feng, GUO Jin. Simulation on the law of wave-front shaping with stochastic parallel gradient descent algorithm for adaptive optics[J]. Chinese Optics, 2014, 7(3): 411-420. doi: 10.3788/CO.20140703.0411

自适应光学随机并行梯度下降算法波前整形规律仿真

doi: 10.3788/CO.20140703.0411
基金项目: 

吉林省重大科技攻关专项资助项目(No.20120615)

详细信息
    通讯作者:

    王卫兵

  • 中图分类号: TP301;TN241

Simulation on the law of wave-front shaping with stochastic parallel gradient descent algorithm for adaptive optics

More Information
    Author Bio:

    WANG Wei-bing(1986- ),male,Msc. He received his Msc degree in Changchun institute of optics,fine mechanics and physics,Chinese academy of sciences in 2013,and his research interests mainly focus on adaptive optics for wave-front shaping,control algorithm and electro-optical tracking control technology. E-mail:wangweibing10@126.com

  • 摘要: 本文首先介绍了基于Zernike模式的SPGD算法对大气湍流畸变波前的整形原理,通过推导得到了关于性能指标的简明表达式,使SPGD算法收敛速率得到明显提升。然后建立了自适应光学随机并行梯度下降算法波前整形系统模型,主要对SPGD算法收敛速率、整形能力和整形效果随波前畸变量和变形镜模型的变化规律作了较为详细的仿真研究,整体定性结果表明:三者的变化规律有一定的相似性,同时利用最小二乘法得到了关于整形能力和整形效果变化规律的定量表达式,若从自适应光学波前整形系统的实时性和简单性考虑,在保证一定整形效果的情况下,选择37单元变形镜对畸变波前的3~27(25)阶Zernike像差进行整形即可。
  • [1] WANG S H. Application of stochastic-parallel-gradient-descent adaptive optics techniques in bam cleanup[D]. Changsha:National University of Defense Technology,2009. [2] VORONTSOV M A,CARHART G W,RICKLIN J C. Adaptibe phase-distortion correction based on parallel gradient-descent optimization[J]. Optics Letters,1997,22(12):907-909. [3] VORONTSOV M A,GARHART G W,COHEN M,et al.. Adaptive optics based on analog parallel stochastic optimization: analysis and experimental demonstration[J]. J. Opt. Soc. Am. A,2000,17(8):1440-1453. [4] VORONTSOV M. Adaptive photonics phase-locked elements(APPLE):system architecture and wavefront control concept[J]. SPIE,2005,5895:1-9. [5] YANG H Z,LI X Y,GONG C L,et al.. Restoration of turbulence-degraded extended object using the stochastic parallel gradient descent algorithm: numerical simulation[J]. Optics Express,2009,17(5):3052-3062. [6] VORONTSOV M A,SIVOKON V P. Stochastic parallel-gradient-descent technique for high-resolution wave-front phase-distortion correction[J]. J. Opt. Soc. Am. A,1998,15(10):2745-2757. [7] YANG H Z,LI X Y,JIANG W H. Simulation and analysis of stochastic parallel gradient descent control algorithm for adaptive optics system[J]. Acta Optica Sinica,2007,27(28):1355-1360. [8] WANG W B,ZHAO S,GUO J,et al.. Convergence rate of stochastic parallel gradient descent algorithm based on Zernike mode[J]. Chinese Optics,2012,5(4):407-415. [9] RODDIER N. Atmospheric wavefront simulation using Zernike polynomials[J]. Optical Engineering,1990,29(10):1174-1180. [10] WANG Y R,WANG J Y,XU P,et al.. Comparison of experimental analysis of atmospheric coherence length in surface layer[J]. J. Atmospheric and Environmental Optics,2010,5(4):263-268.
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出版历程
  • 收稿日期:  2013-12-16
  • 修回日期:  2014-02-13
  • 刊出日期:  2014-05-25

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