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Two-sided pyramid wavefront sensor (TSPWFS) is a kind of wavefront sensor with high spatial resolution and light energy utilization. To deeply study the principle of wavefront reconstruction of this wavefront sensor using wave optics theory, this paper deduces the diffraction theory of non-modulation TSPWFS and gives the analytic solution of linear reconstruction matrix for wavefront reconstruction. With numerical simulation the optimal distance between adjacent pupil image centers was determined. Also, wavefront reconstruction and closed-loop correction of static aberrations by using non-modulation TSPWFS as a wavefront sensor were simulated. The results show that non-modulation TSPWFS has three main advantages. i.e., it does not require measuring the response matrix in real optical setup, and can correct the optical systemic aberration, and can achieve stable closed-loop correction result. Additionally, non-modulation TSPWFS can be applied to a real adaptive optics system to detect wavefront.
[1] Ragazzoni R 1996 J. Modern Opt. 43 289
[2] Ragazzoni R, Baruffolo A, Farinato J, Ghedina A, Marchetti E, Esposito S, Finid L, Ranfagni P, Bortoletto F, D’A1essandro M 2000 Proc. SPIE 4007 57
[3] Ghedina A, Cecconi M, Ragazzoni R, Farinato J, Baruffolo A, Crimi G, Diolaiti E, Esposito S, Fini L, Ghigo M, Marchetti E, Niero T, Puglisi A 2003 Proc. SPIE 4839 869
[4] Hill J M, Salinari P 2003 Proc. SPIE 4837 140
[5] Clare R M, Louarn M L, Oberti S, Rissman A G 2008 Proc.SPIE 7015 701572-1
[6] Chamot St R, Dainty Ch 2006 Opt.Express 14 518
[7] Esposito S, Pinna E, Puglisi A, Tozzi A, Stefanini P 2005 Opt. Lett. 30 2572
[8] Ragazzoni R, Farinato J 1999 A&A 350 L23
[9] 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]
[10] 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]
[11] 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]
[12] Bai F Z, Rao C H 2010 Acta Phys. Sin. 59 4056 (in Chinese) [白福忠、饶长辉 2010 59 4056]
[13] Chew T Y, Clare R M, Lane R G 2006 Opt. Commun. 268 189
[14] Ragazzoni R, Diolaiti E, Vernet E 2002 Opt. Commun. 208 51
[15] LeDue J, Jolissaint L, Véran Jean-P, Bradley C 2009 Opt.Express 17 7186
[16] Costa B J 2005 Appl. Opt. 144 60
[17] Vérinaud C 2004 Opt.Commun. 233 27
[18] Philion D W, Baker K 2006 Proc. SPIE 6272 627228-1
[19] Korkiakoski V 2008 Ph. D. Dissertation (Finland: Helsinki University of Technology Control Engineering)
[20] Wilson R G 1975 Appl. Opt. 14 2286
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[1] Ragazzoni R 1996 J. Modern Opt. 43 289
[2] Ragazzoni R, Baruffolo A, Farinato J, Ghedina A, Marchetti E, Esposito S, Finid L, Ranfagni P, Bortoletto F, D’A1essandro M 2000 Proc. SPIE 4007 57
[3] Ghedina A, Cecconi M, Ragazzoni R, Farinato J, Baruffolo A, Crimi G, Diolaiti E, Esposito S, Fini L, Ghigo M, Marchetti E, Niero T, Puglisi A 2003 Proc. SPIE 4839 869
[4] Hill J M, Salinari P 2003 Proc. SPIE 4837 140
[5] Clare R M, Louarn M L, Oberti S, Rissman A G 2008 Proc.SPIE 7015 701572-1
[6] Chamot St R, Dainty Ch 2006 Opt.Express 14 518
[7] Esposito S, Pinna E, Puglisi A, Tozzi A, Stefanini P 2005 Opt. Lett. 30 2572
[8] Ragazzoni R, Farinato J 1999 A&A 350 L23
[9] 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]
[10] 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]
[11] 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]
[12] Bai F Z, Rao C H 2010 Acta Phys. Sin. 59 4056 (in Chinese) [白福忠、饶长辉 2010 59 4056]
[13] Chew T Y, Clare R M, Lane R G 2006 Opt. Commun. 268 189
[14] Ragazzoni R, Diolaiti E, Vernet E 2002 Opt. Commun. 208 51
[15] LeDue J, Jolissaint L, Véran Jean-P, Bradley C 2009 Opt.Express 17 7186
[16] Costa B J 2005 Appl. Opt. 144 60
[17] Vérinaud C 2004 Opt.Commun. 233 27
[18] Philion D W, Baker K 2006 Proc. SPIE 6272 627228-1
[19] Korkiakoski V 2008 Ph. D. Dissertation (Finland: Helsinki University of Technology Control Engineering)
[20] Wilson R G 1975 Appl. Opt. 14 2286
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