Estimating the shape of the phase front of laser radiation from the results of spatially discrete measurements of its parameters
Abstract
This paper presents the synthesis of a Bayesian algorithm for evaluating the random phase fronts (PFs) of laser signals from the results of a measurement of either the local slopes of the PFs at separate small sections of the aperture or of the phase difference between separate points of the aperture. Expressions are obtained for the accuracy characteristics of the algorithm: the structure function and the mean variance of the PF evaluation over the aperture. Calculations are presented for the variance of the evaluation error as a function of the rate with which the PF varies at the aperture, the sensor type, the number of channels, and the variance of the errors of the primary measurements.
 Publication:

Journal of Optical Technology
 Pub Date:
 March 1994
 Bibcode:
 1994JOptT..61..215B
 Keywords:

 Algorithms;
 Bayes Theorem;
 Estimating;
 Laser Applications;
 Optical Radar;
 Phase Error;
 Dirac Equation;
 Error Analysis;
 Matrices (Mathematics);
 Operators (Mathematics);
 Probability Distribution Functions;
 Wave Propagation;
 Communications and Radar