Scattering of electromagnetic waves by random rough surfaces based on Monte Carlo simulations

Two methods, the sparse matrix canonical grid (SMCG) and the physics-based two-grid (PBTG) methods, for simulating electromagnetic scattering from random rough surfaces are described. Surface integral equations are cast into a full matrix equation by the method of moments. In applying the SMCG method, the original matrix is decomposed into the sum of a strong matrix, a block Toeplitz flat-surface part, and a weak remainder. This equation is then rearranged to take an iterative form. For scattering from a lossy dielectric random rough surface using the PBTG method, two surface integrals are needed with two Green's functions of free space and dielectric medium. The resulting matrix equations can be rewritten as like that with SMCG.