Hybrid simulated annealing-hill climbing algorithm for fast aberration correction without wavefront sensor

LIU Ying; MA Jian-qiang; HE Ting; LI Bao-qing; CHU Jia-ru

doi:10.3788/OPE.20122002.0213

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Hybrid simulated annealing-hill climbing algorithm for fast aberration correction without wavefront sensor

Article | 更新时间：2020-08-12

- Hybrid simulated annealing-hill climbing algorithm for fast aberration correction without wavefront sensor
- Optics and Precision Engineering Vol. 20, Issue 2, Pages: 213-219(2012)
- 作者机构：
  
  中国科学技术大学精密机械与精密仪器系,安徽合肥,230027
- 作者简介：
- 基金信息：
- DOI：10.3788/OPE.20122002.0213
  CLC： O439;TP391
- Received：13 September 2011，
  
  Revised：29 November 2011，
  
  Published Online：25 February 2012，
  
  Published：25 February 2012
- 稿件说明：
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刘莹, 马剑强, 何挺, 李保庆, 褚家如. 模拟退火-爬山混合算法用于无波前传感器快速像差校正[J]. 光学精密工程, 2012,20(2): 213-219

LIU Ying, MA Jian-qiang, HE Ting, LI Bao-qing, CHU Jia-ru. Hybrid simulated annealing-hill climbing algorithm for fast aberration correction without wavefront sensor[J]. Editorial Office of Optics and Precision Engineering, 2012,20(2): 213-219
刘莹, 马剑强, 何挺, 李保庆, 褚家如. 模拟退火-爬山混合算法用于无波前传感器快速像差校正[J]. 光学精密工程, 2012,20(2): 213-219 DOI： 10.3788/OPE.20122002.0213.

LIU Ying, MA Jian-qiang, HE Ting, LI Bao-qing, CHU Jia-ru. Hybrid simulated annealing-hill climbing algorithm for fast aberration correction without wavefront sensor[J]. Editorial Office of Optics and Precision Engineering, 2012,20(2): 213-219 DOI： 10.3788/OPE.20122002.0213.

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迭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迭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

大大降低了进入局部最优值的可能。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。

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.

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references

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Related Institution

Changchun Institute of Optics，Fine Mechanics and Physics，Chinese Academy of Sciences

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