Abstract

The differential equation for the fourth-order statistical moment of the field of a plane wave propagating in a two-dimensional random medium is solved numerically. Results are presented for the scintillation index when the index-of-refraction correlation function of the medium is Gaussian and γ (ratio of diffraction length to scattering length) is 50. It is pointed out that the solution has multiple foci, and it is suggested that this characteristic will be more pronounced for larger values of γ.

© 1982 Optical Society of America

Numerical solutions for the fourth moment of a plane wave propagating in a random medium

M. Tur
J. Opt. Soc. Am. 72(12) 1683-1691 (1982)

Propagation of a finite beam through a random medium

M. Tur and M. J. Beran
Opt. Lett. 5(7) 306-308 (1980)

Two-scale solution for the intensity fluctuations of two-frequency wave propagation in a random medium

R. Mazar, J. Gozani, and M. Tur
J. Opt. Soc. Am. A 2(12) 2152-2160 (1985)

Fourth Moment of a Wave Propagating in a Random Medium*

W. P. Brown
J. Opt. Soc. Am. 62(8) 966-971 (1972)

Accurate numerical solutions for the frequency cross correlation of intensity fluctuations in a random medium

Stephen R. Leonard and B. J. Uscinski
Appl. Opt. 32(15) 2656-2663 (1993)