Abstract

Numerical simulation of wave propagation in random media is used principally to obtain the statistical moments of the wave field. It has been shown [ J. Computat. Appl. Math. 27, 349 ( 1989)] that both local and cumulative accuracy of the second moment, as calculated from the solution, are greater than for the wave field itself. The purpose of this Communication is to extend these results to the higher moments and to demonstrate them computationally. The error is expressed as a function of operators acting on the wave field, and this permits the accuracy of the moments to be examined in terms of the error and its autocorrelation function. A model in which the random medium may be represented in arbitrarily fine detail is used to obtain the computational results.

© 1990 Optical Society of America

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