基于Zernike模式的随机并行梯度下降算法的收敛速率

王卫兵; 赵帅; 郭劲; 王挺峰; 王卫兵; 赵帅; 郭劲; 王挺峰

doi:10.3788/CO.20120504.0407

[1] 王三宏. 机并行梯度下降自适应光学技术在光束净化中的应用 .长沙:国防科学技术大学,2009. WANG S H. Application of stochastic-parallel-gradient-descent adaptive optics techniques in beam cleanup . Changsha:National University of Defense Technology,2009.(in Chinese) [2] 杨慧珍,李新阳,姜文汉. 自适应光学系统几种随机并行优化控制算法比较[J]. 强激光与粒子束 ,2008,20(1):11-16. YANG H ZH,LI X Y,JIANG W H. Comparison of several stochastic parallel optimization control algorithms for adaptive optics system[J]. High Power Laser and Particle Beams,2008,20(1):11-16.(in Chinese) [3] VORONTSOV M A,CARHART G W,RICKLIN J C. Adaptive phase-distortion correction based on parallel gradient-descent optimization[J]. Opt. Lett.,1997,22(12):907-909. [4] VORONTSOV M A,SIVOKON V P. Stochastic parallel-gradient-descent technique for high-resolution[J]. Opt. Soc. Am. A,1998,15(10):2745-2758. [5] 杨慧珍,李新阳,姜文汉. 自适应光学系统随机并行梯度下降控制算法仿真与分析[J]. 光学学报 ,2007,27(8):1355-1360. YANG H ZH,LI X Y,JIANG W H. Simulation and analysis of stochastic parallel gradient descent control algorithm for adaptive optics system[J]. Acta Opt. Sinica,2007,27(28):1355-1360.(in Chinese) [6] 马慧敏,张鹏飞,张京会,等. 自适应光学系统随机并行梯度下降算法[J]. 强激光与粒子束 ,2010,22(6):1206-1210. MA H M,ZHANG P F,ZHANG J H,et al.. Stochastic parallel gradient descent algorithm for adaptive optics system[J]. High Power Laser and ParticleE Beams,2010,22(6):1206-1210.(in Chinese) [7] 杨慧珍,李新阳. 基于Zernike模式的自适应光学系统随机并行梯度下降算法[J]. 强激光与粒子束 ,2009,21(5):645-648. YANG H ZH,LI X Y. Stochastic parallel gradient descent algorithm for adaptive optics system based on Zernike mode[J]. High Power Laser and ParticleE Beams,2009,21(5):645-648. (in Chinese) [8] 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]. Opt. Express,2009,19(5):3052-3062. [9] 李俊. 传输型详查相机微小自适应光学系统研究 .武汉:华中科技大学,2006. LI J. Study of the adaptive optic system in transmission type, high-resolution reconnaissance camera . Wuhan:Huazhong University of Science and Technology,2006.(in Chinese) [10] 王三宏,梁永辉,龙学军,等. 随机并行梯度下降光束净化实验研究[J]. 光学学报 ,2008,28(4):613-617. WANG S H,LIANG Y H,LONG X J,et al.. Experimental research of laser beam cleanup for dynamic aberrations based on stochastic parallel-gradient-descent method[J]. Acta Opt. Sinica,2008,28(4):613-617.(in Chinese) [11] 王小林,周朴,马阎星,等. 基于随机并行梯度下降算法光纤激光相干合成的高精度相位控制系统[J]. 物理学报 ,2010,59(2):973-979. WANG X L,ZHOU P,MA Y X,et al.. High precision phase control system in conherent combining of fiber laser based on stochastic parallel gradient descent algorithm[J]. Acta Physica Sinica,2010,59(2):973-979.(in Chinese) [12] 张金宝,陈波,王彩霞,等. 61单元自适应光学系统随机并行梯度下降算法动态实验研究[J]. 中国激光 ,2010,37(3):668-674. ZHANG J B,CHEN B,WANG C X,et al.. Dynamical wave-front distortion correction experiment based on stochastic parallel gradient descent algorithm for 61-element adaptive optics system[J]. Chinese J. Lasers,2011,37(3):668-674.(in Chinese) [13] 王彩霞,李梅,李新阳,等. 基于随机并行梯度下降算法的自适应光学实时并行处理机[J]. 光学学报 ,2010,30(11):3076-3081. WANH C X,LI M,LI X Y,et al.. Real-time parallel wavefront processor for adaptive optics based on stochastic parallel-gradient-descent algorithm[J]. Acta Optica Simica,2010,30(11):3076-3081.(in Chinese)