Abstract

We examine the lowest-order approximation obtained by the two-scale solution of a wave propagating in a random medium. We display the limits of applicability of this method by comparing the results with finite-differences solutions. A subsequent examination of the two-scale analytic expression then shows that the solution evolves from the initial condition through the single-scattering region to the strong multiple-scattering limit. The results suggest that the lowest-order solution is an excellent approximation for practical use in strong multiple-scattering conditions for the full fourth moment. In the weak-scattering regime, it provides a good approximation both for a strip of the order of the correlation length near the intensity correlation profile and for the decorrelation area. Results for the spectrum of intensity fluctuations for the pure Kolmogorov spectrum are also given.

© 1988 Optical Society of America

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

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