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

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.

Keywords: dual deformable mirrors decoupling algorithm adaptive optics

Received: 30 December 2017
Revised: 02 May 2018
Accepted manuscript online:

PACS:	07.05.Tp	(Computer modeling and simulation)
	95.75.Qr	(Adaptive and segmented optics)
	42.68.Wt	(Remote sensing; LIDAR and adaptive systems)

Fund: 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.

Corresponding Authors: Ping Yang
E-mail: pingyang2516@163.com

Cite this article:

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 2018 Chin. Phys. B 27 070704

[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

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

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