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Double passage analysis in random media using two-scale random propagators. (English) Zbl 0760.73015
In some practical situations arising in wave propagation in random media, the incident and the back-scattered waves go through the same medium, so it is a need to characterize the statistical connection between the two waves. In previous papers it has been shown that all even moments can be generated by a two-point random function, which is a special kind of probabilistic field. In this paper an approximate procedure to obtain the high frequency solution for the propagator is developed. This is achieved by use of a multiscale expansion of a stochastic differential equation. The validity of the results is tested by investigating coherence properties of plane and spherical wavefields reflected by a plane mirror and, secondly, the enhancement effects on the reflection of a Gaussian beam. Computations have been shown to be in good agreement with the direct numerical evaluation. The paper has a very dense content and brings a basic contribution to the approximate solution methods for random fields.

74J20 Wave scattering in solid mechanics
74A40 Random materials and composite materials
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