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

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, $_{incoh}$, has, in addition to the well known enhanced backscattering peak, well-defined satellite peaks in agreement with theory, for most of the parameters considered.Comment: 11 pages and 11 figure

Phase randomness in a one-dimensional disordered absorbing medium

Analytical study of the distribution of phase of the transmission coefficient through 1D disordered absorbing system is presented. The phase is shown to obey approximately Gaussian distribution. An explicit expression for the variance is obtained, which shows that absorption suppresses the fluctuations of the phase. The applicability of the random phase approximation is discussed.Comment: submitted to Phys.Rev.