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在基于哈特曼-夏克波前传感器(SH-WFS)的自适应光学系统中,通常采用质心算法探测点源信标的子孔径光斑偏移量.然而质心算法探测精度受到诸如减阈值等因素的影响,在低信噪比(SNR )时不能准确估计光斑质心位置,而相关哈特曼算法不需要减阈值,具有更好的鲁棒性.本文在介绍相关SH-WFS基本原理的基础上,通过建立基于点源信标探测的相关SH-WFS算法的随机噪声模型,推导了光斑偏移测量误差表达式,系统分析了光子噪声、CCD读出噪声、背景光子噪声等因素对相关SH-WFS测量误差的影响.并进行了数值仿真及实验,仿真
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关键词:
- 相关哈特曼-夏克波前传感器 /
- 相关哈特曼算法 /
- 质心算法 /
- 测量误差
In Shack-Hartmann wavefront sensor(SH-WFS) based adaptive optics system, the centroiding algorithm is usually used to estimate the centroid of a point source spot. But the detecting accuracy of the centroiding algorithm is affected by many factors such as threshold selection, so that the centroid position of the spot cannot be evaluated accurataly under the condition of low signal-to-noise ratio(SNR) . Comparatively the correlating algorithm for Shack-Hartmann wave front-sensing is more robust because it need not reduce the thresholding. In this paper, based on the the principle of the correlating SH-WFS, the measurement error of the correlating SH-WFS is derived by building up the noise model of the correlating SH-WFS. The influences of spot size, photon noise, read out noise and background light noise on the measurement of the correlating SH-WFS are analyzed systematically. The numerically simulation results and the experimental results are consistent well with the theoretical analyses.-
Keywords:
- correlating Shack-Hartmann wavefront sensor /
- correlation algorithm /
- centroiding algorithm /
- measuring error
[1] Li C H, Xian H, Jiang W H, Rao C H 2007 Acta Phys. Sin. 56 4289 (in Chinese) [李超宏、鲜 浩、姜文汉、饶长辉 2007 56 4289]
[2] Yang P, Yang R F, Shen F, Li X Y, Jiang W H 2009 Opt. Commun. 282 1349
[3] Hardy J W 1978 Proc. IEEE 66 651
[4] Jiang W H, Gong Z B 1998 Chinese Journal of Quantum Electronics 15 193(in Chinese) [姜文汉、龚知本 1998 量子电子学报 15 193]
[5] 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 58 4717]
[6] Ares J, Mancebo T, Bara S 2000 Applied Optics 39 1511
[7] Zhang Y Y, Rao C H, Li M, Ma X Y 2010 Acta Phys. Sin. 59 5904 (in Chinese) [张艳艳、饶长辉、李 梅、马晓燠 2010 59 5904]
[8] Cao G R, Yu X 1994 Optical Engineering 33 2331
[9] Ma X Y, Rao C H, Zheng H Q 2009 Optics Express 17 8525
[10] Bai F Z, Rao C H 2010 Acta Phys. Sin. 59 8286(in Chinese) [白福忠、饶长辉 2010 59 8286]
[11] Wang J X, Bai F Z, Ning Y, Huang L H, Jiang W H 2011 Acta Phys. Sin. 60 (in Chinese) [王建新、白福忠、宁 禹、黄林海、姜文汉 2011 60 ]
[12] Rao C H, Jiang W H, Fang C, Ling N, Zhou W C 2003 Chin. J. Astron. Astrophys. 3 576
[13] Rimmele T R 2000 Proc. SPIE 4007 218
[14] Poyneer L A 2003 Applied Optics 42 5807
[15] Thomas S, Fusco T 2006 RAS, MNRAS 371 323
[16] Zheng J L, Ying Q H, Yang W L 2000 Signal and System (Beijing: Higher Education Press) (in Chinese)[郑君里、应启珩、杨为理 2000 信号与系统 (北京:高等教育出版社)]
[17] Sidick E 2007 Proc. of SPIE 6687 668710-1
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[1] Li C H, Xian H, Jiang W H, Rao C H 2007 Acta Phys. Sin. 56 4289 (in Chinese) [李超宏、鲜 浩、姜文汉、饶长辉 2007 56 4289]
[2] Yang P, Yang R F, Shen F, Li X Y, Jiang W H 2009 Opt. Commun. 282 1349
[3] Hardy J W 1978 Proc. IEEE 66 651
[4] Jiang W H, Gong Z B 1998 Chinese Journal of Quantum Electronics 15 193(in Chinese) [姜文汉、龚知本 1998 量子电子学报 15 193]
[5] 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 58 4717]
[6] Ares J, Mancebo T, Bara S 2000 Applied Optics 39 1511
[7] Zhang Y Y, Rao C H, Li M, Ma X Y 2010 Acta Phys. Sin. 59 5904 (in Chinese) [张艳艳、饶长辉、李 梅、马晓燠 2010 59 5904]
[8] Cao G R, Yu X 1994 Optical Engineering 33 2331
[9] Ma X Y, Rao C H, Zheng H Q 2009 Optics Express 17 8525
[10] Bai F Z, Rao C H 2010 Acta Phys. Sin. 59 8286(in Chinese) [白福忠、饶长辉 2010 59 8286]
[11] Wang J X, Bai F Z, Ning Y, Huang L H, Jiang W H 2011 Acta Phys. Sin. 60 (in Chinese) [王建新、白福忠、宁 禹、黄林海、姜文汉 2011 60 ]
[12] Rao C H, Jiang W H, Fang C, Ling N, Zhou W C 2003 Chin. J. Astron. Astrophys. 3 576
[13] Rimmele T R 2000 Proc. SPIE 4007 218
[14] Poyneer L A 2003 Applied Optics 42 5807
[15] Thomas S, Fusco T 2006 RAS, MNRAS 371 323
[16] Zheng J L, Ying Q H, Yang W L 2000 Signal and System (Beijing: Higher Education Press) (in Chinese)[郑君里、应启珩、杨为理 2000 信号与系统 (北京:高等教育出版社)]
[17] Sidick E 2007 Proc. of SPIE 6687 668710-1
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