Numerical simulation of electromagnetic wave scattering from planar dielectric films deposited on rough perfectly conducting substrates

TL;DR

This paper presents a numerical method to simulate electromagnetic wave scattering from dielectric films on rough conducting substrates, revealing detailed scattering features including satellite peaks.

Contribution

It introduces a nonperturbative numerical approach based on the reduced Rayleigh equation to analyze scattering from complex dielectric structures with rough surfaces.

Findings

Identification of satellite peaks in scattering patterns

Validation of theoretical predictions with numerical simulations

Analysis of guided wave contributions to scattering

Abstract

Electromagnetic wave scattering from planar dielectric films deposited on one-dimensional, randomly rough, perfectly conducting substrates is studied by numerical simulations for both p- and s-polarization. The reduced Rayleigh equation, which is the integral equation satisfied by the scattering amplitude after eliminating the fields inside the film, is the starting point for the simulation. This equation is solved numerically by considering a random surface of finite length, and by introducing wave number cut-offs in the evanescent part of the spectrum. Upon discretization, a system of linear equations is obtained, and by solving this matrix system for an ensemble of surface realizations, the contribution to the mean differential reflection coefficient from the incoherently scattered field, $<\partial R_\nu/\partial \theta>_{incoh}$ (\nu=p,s), is obtained nonperturbatively. It is demonstrated that when the scattering geometry supports at least two guided waves, $<\partial R_\nu/\partial \theta>_{incoh}$, has, in addition to the well known enhanced backscattering peak, well-defined satellite peaks in agreement with theory, for most of the parameters considered.