Abstract

A new full wave theory for scattering by one dimensional perfectly conducting rough surface has been formulated recently. It provides enhanced physical insights into rough surface scattering processes, includes multiple scattering effects, quantifies field errors and furnishes a quantitative measure of the method#x2019;s accuracy, permits a systematic procedure for obtaining higher-order terms in the iterative solution of the scatter problem, and satisfies reciprocity using only the first-order solution. The first- order solution of this new full wave method has been shown to reduce to the small perturbation and the Kirchhoff approximation in their regions of validity. It has also been numerically applied to surfaces with Gaussian height and slope variations and shown to be more accurate than the small-perturbation and the Kirchhoff methods in regions where neither are considered valid. This paper extend the theory to the more general and important case of scattering by a dielectric interface, where one of the two halfspaces is lossy