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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.
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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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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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