Abstract

Numerical solutions of the plane-wave fourth-moment differential equation are obtained for a two-dimensional homogeneous and isotropic random medium that is characterized by a Gaussian correlation function. Results show that the range dependence of the variance of the intensity fluctuations exhibits both saturation and focusing. In addition to the correlations of the intensity fluctuations, the full spatial dependence of the fourth moment of the propagating field is also described and compared with the the Born and Rytov approximations (weak scattering) and with recent asymptotic results (strong scattering).

© 1982 Optical Society of America

Numerical solutions for the fourth moment of a finite beam propagating in a random medium

Moshe Tur
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Fourth Moment of a Wave Propagating in a Random Medium*

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Numerical solution for the fourth-order coherence function of a plane wave propagating in a two-dimensional Kolmogorovian medium

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

R. Mazar, J. Gozani, and M. Tur
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