A slope-based decoupling algorithm to simultaneously control dual deformable mirrors in a woofer-tweeter adaptive optics system

doi:10.1088/1674-1056/27/7/070704

中国物理B ›› 2018, Vol. 27 ›› Issue (7): 70704-070704.doi: 10.1088/1674-1056/27/7/070704

A slope-based decoupling algorithm to simultaneously control dual deformable mirrors in a woofer-tweeter adaptive optics system

Tao Cheng(程涛), Wenjin Liu(刘文劲), Boqing Pang(庞博清), Ping Yang(杨平), Bing Xu(许冰)

1 Key Laboratory on Adaptive Optics, Chinese Academy of Sciences, Chengdu 610209, China;
2 University of Chinese Academy of Sciences, Beijing 100049, China;
3 Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu 610209, China

收稿日期:2017-12-30 修回日期:2018-05-02 出版日期:2018-07-05 发布日期:2018-07-05
通讯作者: Ping Yang E-mail:pingyang2516@163.com
基金资助:
Project supported by the Key Scientific Equipment Development Project of China (Grant No. ZDYZ2013-2), the National High-Tech R&D Program of China (Grant Nos. G128201-G158201 and G128603-G158603), the Innovation Fund of Chinese Academy of Science (Grant No. CXJJ-16M208), the Youth Innovation Promotion Association of the Chinese Academy of Sciences, and the Outstanding Young Scientists, Chinese Academy of Sciences.

A slope-based decoupling algorithm to simultaneously control dual deformable mirrors in a woofer-tweeter adaptive optics system

Tao Cheng(程涛)^1,2,3, Wenjin Liu(刘文劲)^1,3, Boqing Pang(庞博清)^1,2,3, Ping Yang(杨平)^1,3, Bing Xu(许冰)^1,3

1 Key Laboratory on Adaptive Optics, Chinese Academy of Sciences, Chengdu 610209, China;
2 University of Chinese Academy of Sciences, Beijing 100049, China;
3 Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu 610209, China

Received:2017-12-30 Revised:2018-05-02 Online:2018-07-05 Published:2018-07-05
Contact: Ping Yang E-mail:pingyang2516@163.com
Supported by:
Project supported by the Key Scientific Equipment Development Project of China (Grant No. ZDYZ2013-2), the National High-Tech R&D Program of China (Grant Nos. G128201-G158201 and G128603-G158603), the Innovation Fund of Chinese Academy of Science (Grant No. CXJJ-16M208), the Youth Innovation Promotion Association of the Chinese Academy of Sciences, and the Outstanding Young Scientists, Chinese Academy of Sciences.

摘要/Abstract

摘要： We propose a slope-based decoupling algorithm to simultaneously control the dual deformable mirrors (DMs) in a woofer-tweeter adaptive optics system. This algorithm can directly use the woofer's response matrix measured from a Shack-Hartmann wave-front sensor to construct a slope-based orthogonal basis, and then selectively distribute the large-amplitude low-order aberration to woofer DM and the remaining aberration to tweeter DM through the slope-based orthogonal basis. At the same moment, in order to avoid the two DMs generating opposite compensation, a constraint matrix used to reset tweeter control vector is convenient to be calculated with the slope-based orthogonal basis. Numeral simulation demonstrates that this algorithm has a good performance to control the adaptive optics system with dual DMs simultaneously. Compared with the typical decoupling algorithm, this algorithm can take full use of the compensation ability of woofer DM and release the stroke of tweeter DM to compensate high-order aberration. More importantly, it does not need to measure the accurate shape of tweeter's influence function and keeps better performance of restraining the coupling error with the continuous-dynamic aberration.

关键词: dual deformable mirrors, decoupling algorithm, adaptive optics

Abstract: We propose a slope-based decoupling algorithm to simultaneously control the dual deformable mirrors (DMs) in a woofer-tweeter adaptive optics system. This algorithm can directly use the woofer's response matrix measured from a Shack-Hartmann wave-front sensor to construct a slope-based orthogonal basis, and then selectively distribute the large-amplitude low-order aberration to woofer DM and the remaining aberration to tweeter DM through the slope-based orthogonal basis. At the same moment, in order to avoid the two DMs generating opposite compensation, a constraint matrix used to reset tweeter control vector is convenient to be calculated with the slope-based orthogonal basis. Numeral simulation demonstrates that this algorithm has a good performance to control the adaptive optics system with dual DMs simultaneously. Compared with the typical decoupling algorithm, this algorithm can take full use of the compensation ability of woofer DM and release the stroke of tweeter DM to compensate high-order aberration. More importantly, it does not need to measure the accurate shape of tweeter's influence function and keeps better performance of restraining the coupling error with the continuous-dynamic aberration.

Key words: dual deformable mirrors, decoupling algorithm, adaptive optics

中图分类号: (Computer modeling and simulation)

07.05.Tp

95.75.Qr (Adaptive and segmented optics) 42.68.Wt (Remote sensing; LIDAR and adaptive systems)

程涛, 刘文劲, 庞博清, 杨平, 许冰. A slope-based decoupling algorithm to simultaneously control dual deformable mirrors in a woofer-tweeter adaptive optics system[J]. 中国物理B, 2018, 27(7): 70704-070704.

Tao Cheng(程涛), Wenjin Liu(刘文劲), Boqing Pang(庞博清), Ping Yang(杨平), Bing Xu(许冰). A slope-based decoupling algorithm to simultaneously control dual deformable mirrors in a woofer-tweeter adaptive optics system[J]. Chin. Phys. B, 2018, 27(7): 70704-070704.

参考文献 17

[1]	Wu Z Z, Zhang Z, Kong X H, Wu J Q, Wang T, Liu M and Xie S R 2017 Chin. Phys. B 26 074201
[2]	Xuan L, He B, Hu L F, Li D Y, Xu H Y, Zhang X Y, Wang S X, Wang Y K, Yang C L, Cao Z L, Mu Q Q and Lu X H 2016 Chin. Phys. B 25 094216
[3]	Lu J, Li H, He Y, Shi G H and Zhang Y D 2011 Acta Phys. Sin. 60 034207 (in Chinese)
[4]	Dagel D J, Cowan W D, Spahn O B, Grossetete G D and Griñe A J 2005 J. Microelectro-Mech. Syst. 15 572
[5]	Zou W, Qi X and Burns S A 2011 Opt. Express 2 1986
[6]	Chen D C, Jones S M, Silva D A and Olivier S S 2007 J. Opt. Soc. Am. A 24 1305
[7]	Zawadzki R, Choi S, Jones S M, Oliver S S and Werner J S 2007 J. Opt. Soc. Am. A 24 1373
[8]	Cense B, Koperda E, Brown J M, Kocaoglu O P, Gao W, Jonnal R S and Miller D T 2009 Opt. Express 17 4095
[9]	Conan R, Bradley C, Hampton C P, Keskin O, Hilton A and Blain C 2007 Appl. Opt. 46 4329
[10]	Hu S, Xu B, Zhang X, Hou J, Wu J and Jiang W H 2006 Appl. Opt. 45 2638
[11]	Liu W J, Dong L Z, Yang P, Lei X, Yan H and Xu B 2013 Opt. Express 20 23885
[12]	Lavigne J F and Véran J P 2008 J. Opt. Soc. Am. A 25 2271
[13]	Hampton P J, Agathoklis P, Conan R and Bradley C 2010 J. Opt. Soc. Am. A 27 A145
[14]	Zou W, Qi X and Burns S A 2008 Opt. Lett. 33 2602
[15]	Zou W and Burns S A 2009 Opt. Express 17 20167
[16]	Zou W and Burns S A 2012 Appl. Opt. 51 1198
[17]	Li C H, Sredar N, Ivers K, Queener H and Porter J 2010 Opt. Express 18 16671

A slope-based decoupling algorithm to simultaneously control dual deformable mirrors in a woofer-tweeter adaptive optics system

A slope-based decoupling algorithm to simultaneously control dual deformable mirrors in a woofer-tweeter adaptive optics system

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 17

相关文章 12

Metrics

本文评价

推荐阅读 0

[1]	李斌, 于文豪, 陈莫, 唐金龙, 鲜浩. Co-focus experiment of segmented mirror[J]. 中国物理B, 2017, 26(6): 60706-060706.
[2]	尤俊成, 官春林, 周虹. Influence of low temperature on the surface deformation of deformable mirrors[J]. 中国物理B, 2017, 26(5): 54215-054215.
[3]	何斌, 胡立发, 李大禹, 徐焕宇, 张杏云, 王少鑫, 王玉坤, 杨程亮, 曹召良, 穆全全, 鲁兴海, 宣丽. A high precision phase reconstruction algorithm for multi-laser guide stars adaptive optics[J]. 中国物理B, 2016, 25(9): 94214-094214.
[4]	宣丽, 何斌, 胡立发, 李大禹, 徐焕宇, 张杏云, 王少鑫, 王玉坤, 杨程亮, 曹召良, 穆全全, 鲁兴海. Configuration optimization of laser guide stars and wavefront correctors for multi-conjugation adaptive optics[J]. 中国物理B, 2016, 25(9): 94216-094216.
[5]	杨乐宝, 胡立发, 李大禹, 曹召良, 穆全全, 马骥, 宣丽. Determining the imaging plane of a retinal capillary layer in adaptive optical imaging[J]. 中国物理B, 2016, 25(9): 94219-094219.
[6]	朱召义, 李大禹, 胡立发, 穆全全, 杨程亮, 曹召良, 宣丽. High signal-to-noise ratio sensing with Shack-Hartmann wavefront sensor based on auto gain control of electron multiplying CCD[J]. 中国物理B, 2016, 25(9): 90702-090702.
[7]	程生毅, 刘文劲, 陈善球, 董理治, 杨平, 许冰. Comparison between iterative wavefront control algorithm and direct gradient wavefront control algorithm for adaptive optics system[J]. 中国物理B, 2015, 24(8): 84214-084214.
[8]	刘瑞雪, 郑贤良, 李大禹, 夏明亮, 胡立发, 曹召良, 穆全全, 宣丽. Retinal axial focusing and multi-layer imaging with a liquid crystal adaptive optics camera[J]. , 2014, 23(9): 94211-094211.
[9]	罗文, 耿超, 武云云, 谭毅, 罗奇, 刘红梅, 李新阳. Experimental demonstration of single-mode fiber coupling using adaptive fiber coupler[J]. Chin. Phys. B, 2014, 23(1): 14207-014207.
[10]	於亮红, 梁晓燕, 任志君, 王利, 许毅, 陆效明, 于国浩. Wavefront correction of Ti:sapphire terawatt laser with varying precision of phase conjugation between deformable mirror and wavefront sensor[J]. 中国物理B, 2012, 21(1): 14201-014201.
[11]	刘超, 穆全全, 胡立发, 曹召良, 宣丽. High precision Zernike modal gray map reconstruction for liquid crystal corrector[J]. 中国物理B, 2010, 19(6): 64214-064214.
[12]	宁禹, 周虹, 余浩, 饶长辉, 姜文汉. Thermal stability test and analysis of a 20-actuator bimorph deformable mirror[J]. 中国物理B, 2009, 18(3): 1089-1095.