Multigrid preconditioned conjugate-gradient method for large-scale wave-front reconstruction

被引:79
作者
Gilles, L [1 ]
Vogel, CR
Ellerbroek, BL
机构
[1] Montana State Univ, Dept Math Sci, Bozeman, MT 59717 USA
[2] Gemini Observ, Hilo, HI 96720 USA
来源
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION | 2002年 / 19卷 / 09期
关键词
D O I
10.1364/JOSAA.19.001817
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We introduce a multigrid preconditioned conjugate-gradient (MGCG) iterative scheme for computing open-loop wave-front reconstructors for extreme adaptive optics systems. We present numerical simulations for a 17-m class telescope with n = 48756 sensor measurement grid points within the aperture, which indicate that our MGCG method has a rapid convergence rate for a wide range of subaperture average slope measurement signal-to-noise ratios. The total computational cost is of order n log n. Hence our scheme provides for fast wave-front simulation and control in large-scale adaptive optics systems. (C) 2002 Optical Society of America.
引用
收藏
页码:1817 / 1822
页数:6
相关论文
共 10 条
[1]   Fast Fourier and wavelet transforms for wavefront reconstruction in adaptive optics [J].
Dowla, FU ;
Brase, JM ;
Olivier, SS ;
Thompson, CA .
HIGH-RESOLUTION WAVEFRONT CONTROL: METHODS, DEVICES, AND APPLICATIONS II, 2000, 4124 :118-127
[2]   Efficient computation of minimum-variance wave-front reconstructors with sparse matrix techniques [J].
Ellerbroek, BL .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2002, 19 (09) :1803-1816
[3]   LEAST-SQUARE FITTING A WAVEFRONT DISTORTION ESTIMATE TO AN ARRAY OF PHASE-DIFFERENCE MEASUREMENTS [J].
FRIED, DL .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA, 1977, 67 (03) :370-375
[4]   Optimal wave-front reconstruction strategies for multiconjugate adaptive optics [J].
Fusco, T ;
Conan, JM ;
Rousset, G ;
Mugnier, LM ;
Michau, V .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2001, 18 (10) :2527-2538
[5]  
Parlett BeresfordN., 1997, SYMMETRIC EIGENVALUE
[6]  
POYNEER LA, IN PRESS J OPT SOC A
[7]  
Roggemann M., 1996, Imaging Through Turbulence
[8]  
ROGGEMANN MC, 2002, IMAGING TURBULENCE, V19, P1803
[9]  
Saad Y., 1996, Iterative Methods for Sparse Linear Systems
[10]  
Trottenberg U., 2001, MULTIGRID