OPTIMAL WAVE-FRONT RECONSTRUCTION FROM A SHACK-HARTMANN SENSOR BY USE OF A BAYESIAN ALGORITHM

被引:22
作者
BAKUT, PA [1 ]
KIRAKOSYANTS, VE [1 ]
LOGINOV, VA [1 ]
SOLOMON, CJ [1 ]
DAINTY, JC [1 ]
机构
[1] UNIV LONDON IMPERIAL COLL SCI TECHNOL & MED,BLACKETT LAB,LONDON SW7 2BZ,ENGLAND
关键词
D O I
10.1016/0030-4018(94)90730-7
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
An optimal algorithm has been derived for the reconstruction of random wavefronts using information on local slopes obtained with Hartmann-type sensors. The approach is based on calculation of the Bayesian posterior mean of the distribution. The accuracy of the method has been investigated via derivation of the error covariance matrix and subsequent calculation of the residual mean square error for waves which have propagated through the turbulent atmosphere. The dependence of the accuracy on the spatial correlation scale of the wavefront, the number of sensor channels and their signal-to-noise ratio is also discussed.
引用
收藏
页码:10 / 15
页数:6
相关论文
共 8 条
[1]  
BAKUT PA, 1964, PROBLEMS STATISTICAL, V2
[2]  
Cubalchini R., 1979, Journal of the Optical Society of America, V69, P972, DOI 10.1364/JOSA.69.000972
[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]  
Gurvich A. S., 1976, LASER RAD TURBULENT
[5]   LEAST-SQUARES WAVE-FRONT ERRORS OF MINIMUM NORM [J].
HERRMANN, J .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA, 1980, 70 (01) :28-35
[6]  
Hugdin R. H., 1977, J OPT SOC AM, V67, P375
[7]   MATRIX FORMULATION OF THE RECONSTRUCTION OF PHASE VALUES FROM PHASE DIFFERENCES [J].
HUNT, BR .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA, 1979, 69 (03) :393-399
[8]   WAVE-FRONT ESTIMATION FROM WAVE-FRONT SLOPE MEASUREMENTS [J].
SOUTHWELL, WH .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA, 1980, 70 (08) :998-1009