A general scattering algorithm for dielectric and PEC random rough surfaces

We report a general scattering algorithm for dielectric media with a random interface, based on Coifman wavelets and Galerkin's procedure in MoM. When the loss tangent of the lossy medium grows large, the model seamlessly reduces to the PEC surface scattering. The model contains tangential and normal components of electromagnetic fields as unknowns. The local multi-resolution analysis and high regularity in smoothness of wavelets allow effective matrix discretization. Due to the high-precision one-point quadrature, the Coiflets yield fast evaluations of the most off-diagonal entries, cutting the matrix fill effort from O(N²) to O(N). Numerical results show that the reduced PEC model does not suffer from ill-posed problems. Compared with previous publications and laboratory measurements, good agreement is observed.