Abstract

In this paper, we use modified diagrammatic techniques to derive equations for all the statistical moments of the radiation field in a random medium. These equations are completely uncoupled, in the sense that the Nth-order moment is determined by the solution of a single equation and can be found independently of any other moment. In the case of the fourth-order moment, our results agree with those of Beran and Ho and of Shishov, which were derived by other methods.

© 1971 Optical Society of America

Propagation of the Nth-Order Coherence Function in a Random Medium, II. General Solutions and Asymptotic Behavior

John E. Molyneux
J. Opt. Soc. Am. 61(3) 369-377 (1971)

Second Moment of a Wave Propagating in a Random Medium*

Wilbur P. Brown
J. Opt. Soc. Am. 61(8) 1051-1059 (1971)

Propagation of the Fourth-Order Coherence Function in a Random Medium*

T. L. Ho and M. J. Beran
J. Opt. Soc. Am. 58(10) 1335-1341 (1968)

Moment Equations for Waves Propagated in Random Media*

Wilbur P. Brown
J. Opt. Soc. Am. 62(1) 45-54 (1972)

Propagation of the Fourth-Order Coherence Function in a Random Medium (a Nonperturbative Formulation)*

M. J. Beran and T. L. Ho
J. Opt. Soc. Am. 59(9) 1134-1138 (1969)