Coherent Scattering of Electromagnetic Waves From a Layer of Random Medium With Rough Boundaries

Abstract

This paper is concerned about coherent waves in a random medium layer with randomly rough boundaries which on the average are parallel planes. The fluctuations of the problem are assumed to be small and smooth. All the statistical parameters of the problem are stationary and independent of each other. The bottom surface is assumed to be perfectly conducting. Using transferred boundary conditions the problem of electromagnetic wave scattering from this layer is formulated as a single integral equation where the random fluctuations of the problem are represented as a zero mean random operator. Smoothing leads to an integral equation for the coherent fields. Various operators are employed to this equation to obtain expressions for the principal parameters of the coherent fields such as propagation constants and Fresnel coefficients. Some examples are considered to illustrate the characteristics of our results.