Electromagnetic wave scattering from a random layer with rough interfaces I: Coherent field

TL;DR

This paper develops a theoretical framework for analyzing electromagnetic wave scattering from a random medium layer with rough interfaces, focusing on the coherent field using integral equations and Green functions.

Contribution

It introduces a formulation using integral equations with two Green functions and applies the coherent potential approximation with quasi-crystalline approximation.

Findings

Formulated integral equations for scattering from rough interfaces.

Applied the coherent potential approximation to account for particle correlations.

Provided a method to calculate the coherent electromagnetic field in complex media.

Abstract

The problem of an electromagnetic wave scattered from a random medium layer with rough boundaries is formulated using integral equations which involve two kinds of Green functions. The first one describes the wave scattered by the random medium and the rough boundaries, and the second one which corresponds to the unperturbed Green functions describes the scattering by an homogeneous layer with the rough boundaries. As these equations are formally similar to classical equations used in scattering theory by an infinite random medium, we will be able to apply standard procedures to calculate the coherent field. We will use the coherent potential approximation where the correlations between the particles will be taken into account under the quasi-crystalline approximation.