Computer Simulation of Wave Scattering from a Dielectric Random Surface in Two Dimensions-Cylindrical Case

Abstract

The detailed moment method simulation of wave scattering from a computer generated-dielectric rough surface in two-dimensional space is given. The validity of the numerical algorithm is verified by comparing simulation results with Kirchhoff and first order small perturbation theory at their valid regions. The efficiency and versatility of the numerical simulation algorithm as a practical tool to study rough surface scattering is demonstrated. It is found that the Kirchhoff series solution always gives an estimate that is between the VV and HH polarizations for both Gaussian and composite surface if the correct correlation function is used. It is also found that for a single scale surface, the effect of increasing frequency on the backscattering coefficient is to gradually diminish the VV and HH polarization separation from that of Perturbation to Kirchhoff. For surfaces with distinctively different roughness scales, the frequency behavior of the backscattering coefficient depends on the dominance of individual scales at their respective angular range, i.e., large scale dominates at smaller angle of incidence while small scale dominates at large angle of incidence. In all cases, the effect of increasing dielectric constant is to increase the level of the scattering coefficient and the separation between VV and HH polarizations.