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Influence of coupling coefficient on sparseness of slope response matrix and iterative matrix

Cheng Sheng-Yi Chen Shan-Qiu Dong Li-Zhi Liu Wen-Jin Wang Shuai Yang Ping Ao Ming-Wu Xu Bing

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Influence of coupling coefficient on sparseness of slope response matrix and iterative matrix

Cheng Sheng-Yi, Chen Shan-Qiu, Dong Li-Zhi, Liu Wen-Jin, Wang Shuai, Yang Ping, Ao Ming-Wu, Xu Bing
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  • Based on a 529-actuator adaptive optic (AO) system, the sparseness of slope response matrix from deformable mirror to Hartmann wavefront sensor and the sparseness of iterative matrix in wavefront reconstruction are analyzed. The influence of actuator coupling coefficient on the slope response matrix sparseness, the iterative matrix sparseness, and the AO system correction quality are also studied under the condition of constant actuator spacing. Larger coupling coefficient results in a lower sparseness of slope response matrix and an iterative matrix. Too large or too small coupling coefficient will lead to lower stability and correction quality of AO system. Finally, the optimal range of coupling coefficient is provided by the balancing correction quality, sparseness of slope response matrix, and stability.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11173008), and the Sichuan Province Outstanding Youth Academic Technology Leaders Program (Grant NO. 2012JQ0012).
    [1]

    Jiang W H, Zhang Y D, Rao C H, Ling N, Guan C L, Li M, Yang Z P, Shi G H 2011 Acta Optica Sinaca 31 9 (in Chinese) [姜文汉, 张雨东, 饶长辉, 凌宁, 官春林, 李梅, 杨泽平, 史国华2011 光学学报31 9]

    [2]

    Jiang W H 2006 Chinese Journal of Nature 28 1 (in Chinese) [姜文汉2006 中国自然杂志28 1]

    [3]

    Zhang L Q, Gu N T, Rao C H 2013 Acta. Phys. Sin. 62 169501 (in Chinese)[张兰强, 顾乃庭, 饶长辉2013 物理学报62 169501]

    [4]

    Ren Z J, Liang X Y, Liu M B, Xia C Q, Lu X M, Li R X, Xu Z Z 2009 Chin. Phys. Lett. 26 124203

    [5]

    Yu L H, Liang X Y, Ren Z J, Wang L, Xu Y, Lu X M, Yu G T 2012 Chin. Phys. B 21 014201

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    Jiang W H, Li H G 1990 Proc. SPIE The Hague, Netherlands, March 01, 1990 p82

    [7]

    Feng L, Fedrigo E, Bechet C 2012 Applied Optics 51 3564

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    Antonin H B 2010 Proc. SPIE San Diego, CA, August 02, 2009 p1

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    Luc G, Curtis R, Vogel, Brent L 2002 J. Opt. Soc. Am. A 19 1817

    [10]

    Eric T, Michel T 2010 J. Opt. Soc. Am. A 27 1046

    [11]

    Shao L, Xian H 2004 Opto-Electronic Engineering 31 8 (in Chinese) [邵力, 鲜浩2004 光电工程31 8]

    [12]

    Yang H F, Rao C H, Zhang Y D, Jiang W H 2009 Acta Optica Sinaca 29 587 (in Chinese) [杨华峰, 饶长辉, 张雨东, 姜文汉2009 光学工程29 587]

    [13]

    Lu F, He Z W 2012 Computer Simulation 29 38 (in Chinese) [卢飞, 何忠武2012 计算机仿真29 38]

    [14]

    Liu J, Zhao C J 2012 High Power Laser and Particle Beams 24 1029 (in Chinese)[刘娟, 赵楚军2012 强激光与粒子束24 1029]

    [15]

    Ning Y, Zhou H, Yu H, Rao C H, Jiang W H 2009 Chin. Phys. B 18 1089

    [16]

    Jiang W H, Rao C H, Zhang Y D, Ling N, Guan C L 2009 Proc. SPIE San Jose, CA, January 24, 2009 p1

    [17]

    Dong L Z, Yang P, Xu B 2009 Applied Physics B 96 527

    [18]

    Zhu Y G 2010 Matrix Analysis and Calculation (Beijing: National Defense Industry Press) pp160-183 (in Chinese)[朱元国2010 矩阵分析与计算(北京: 国防工业出版社) 第160–183 页]

    [19]

    Ning Y, Yu H, Zhou H, Rao C H, Jiang W H 2009 Acta Phys. Sin. 58 4717 (in Chinese)[宁禹, 余浩, 周虹, 饶长辉, 姜文汉2009 物理学报58 4717]

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    Noll R J 1976 J. Opt. Soc. Am. A 66 207

  • [1]

    Jiang W H, Zhang Y D, Rao C H, Ling N, Guan C L, Li M, Yang Z P, Shi G H 2011 Acta Optica Sinaca 31 9 (in Chinese) [姜文汉, 张雨东, 饶长辉, 凌宁, 官春林, 李梅, 杨泽平, 史国华2011 光学学报31 9]

    [2]

    Jiang W H 2006 Chinese Journal of Nature 28 1 (in Chinese) [姜文汉2006 中国自然杂志28 1]

    [3]

    Zhang L Q, Gu N T, Rao C H 2013 Acta. Phys. Sin. 62 169501 (in Chinese)[张兰强, 顾乃庭, 饶长辉2013 物理学报62 169501]

    [4]

    Ren Z J, Liang X Y, Liu M B, Xia C Q, Lu X M, Li R X, Xu Z Z 2009 Chin. Phys. Lett. 26 124203

    [5]

    Yu L H, Liang X Y, Ren Z J, Wang L, Xu Y, Lu X M, Yu G T 2012 Chin. Phys. B 21 014201

    [6]

    Jiang W H, Li H G 1990 Proc. SPIE The Hague, Netherlands, March 01, 1990 p82

    [7]

    Feng L, Fedrigo E, Bechet C 2012 Applied Optics 51 3564

    [8]

    Antonin H B 2010 Proc. SPIE San Diego, CA, August 02, 2009 p1

    [9]

    Luc G, Curtis R, Vogel, Brent L 2002 J. Opt. Soc. Am. A 19 1817

    [10]

    Eric T, Michel T 2010 J. Opt. Soc. Am. A 27 1046

    [11]

    Shao L, Xian H 2004 Opto-Electronic Engineering 31 8 (in Chinese) [邵力, 鲜浩2004 光电工程31 8]

    [12]

    Yang H F, Rao C H, Zhang Y D, Jiang W H 2009 Acta Optica Sinaca 29 587 (in Chinese) [杨华峰, 饶长辉, 张雨东, 姜文汉2009 光学工程29 587]

    [13]

    Lu F, He Z W 2012 Computer Simulation 29 38 (in Chinese) [卢飞, 何忠武2012 计算机仿真29 38]

    [14]

    Liu J, Zhao C J 2012 High Power Laser and Particle Beams 24 1029 (in Chinese)[刘娟, 赵楚军2012 强激光与粒子束24 1029]

    [15]

    Ning Y, Zhou H, Yu H, Rao C H, Jiang W H 2009 Chin. Phys. B 18 1089

    [16]

    Jiang W H, Rao C H, Zhang Y D, Ling N, Guan C L 2009 Proc. SPIE San Jose, CA, January 24, 2009 p1

    [17]

    Dong L Z, Yang P, Xu B 2009 Applied Physics B 96 527

    [18]

    Zhu Y G 2010 Matrix Analysis and Calculation (Beijing: National Defense Industry Press) pp160-183 (in Chinese)[朱元国2010 矩阵分析与计算(北京: 国防工业出版社) 第160–183 页]

    [19]

    Ning Y, Yu H, Zhou H, Rao C H, Jiang W H 2009 Acta Phys. Sin. 58 4717 (in Chinese)[宁禹, 余浩, 周虹, 饶长辉, 姜文汉2009 物理学报58 4717]

    [20]

    Noll R J 1976 J. Opt. Soc. Am. A 66 207

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Publishing process
  • Received Date:  11 October 2013
  • Accepted Date:  13 December 2013
  • Published Online:  05 April 2014

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