ABSTRACT
We present various formalisms to describe the scattering from a penetrable rough surface. These transmission formalisms all involve the solution of integral equations which are discretized into a matrix system to solve. They are labelled and characterized by the sample spaces for the matrix rows and columns. The two sample spaces are coordinate (C) and spectral (S) and the methods we present are coordinate-coordinate (CC), the usual coordinate-based scattering method, spectral-coordinate (SC) where rows are sampled in spectral space, and spectral-spectral (SS) which uses topological basis expansion techniques. Computational results are presented in [8].
