第20卷第2期 2012年2月
文章编号1004-924X(2012)02-0213-07
光学精密工程
Optics and Precision Engineering
Vol. 20No.2
Feb.2012
模拟退火-爬山混合算法用于无波前传感器快速像差校正
刘莹，马剑强，何挺，李保庆，，褚家如
（中国科学技术大学精密机械与精密仪器系，安徽合肥230027）
摘要：为了校正激光光束波前像差，建立了一种基于压电微变形镜的自适应光学系统。提出了用模拟退火-爬山混合算法来控制系统中37单元单压电片变形镜，补偿激光光束波前像差，实现对光斑的快速校正，提出的混合算法先使用模拟退火算法为爬山法提供一个较好的校正起点，再用爬山法对像差进行精确校正，仅需要少量的模拟退火送代过程即可提供一个好的校正起点。由于精确校正阶段的爬山法速度快，因此获得相同校正效果需要的选代次数比普通模拟退火算法减少了50%以上，同时由于爬山法校正起点较好，大大降低了进人局部最优值的可能。最后，实验验证了模拟退火-爬山法对激光光束波前具有更佳的校正效率。
关键调：自适应光学；模拟火-爬山混合算法；压电变形镜；波前像差；波前校正
中图分类号：0439;TP391
文献标识码：A
doi;10.3788/OPE,20122002.0213
Hybrid simulated annealing-hill climbing algorithmfor fastaberrationcorrectionwithoutwavefrontsensor
LIUYing,MA Jian-qiang,HE Ting,LIBao-qing',CHU Jia-ru(Departmentof Precision Machinery and Precision Instrumentation， University of Science and Technology of China,Hefei 230027,China)
*Correspondingauthor,E-mail.bqli@ustc.edu.cn
Abstract: An adaptive optical system based on an piezoelectric deformable mirror was established to compensate the wavefront aberration of laser beams by using a 37-unit piezoelectric deformable mirror controlled by the hybrid Simulated Annealing-Hill Climbing (SAHC) algorithm, With the hybrid SAHC algorithm, Simulated Annealing (SA) algorithm was used first to provide a good start point, and then the hill climbing algorithm was used to achieve wavefront aberration compensation. It needed only a few iterations of SA process to provide a good start point. As the hill climbing algorithm has a very fast process speed, the number of iterations to obtain the same correction effect has been reduced by 50% as compared with that of the normal SA algorithm.Meanwhile, the probability of falling into the local optimum is very small, for it has the good start point. The SAHC algorithm is proved to
have better correction efficiency for laser beam wavefront by experiments. 收稿日期：2011-09-13；修订日期：2011-11-29
基金项目：国家973重点基础研究发展计划资助项目（No.2011CB302101)；中央高校基本科研业务费专项资金资助
项目（No.WK2090090008）