Reflection and transmission of electromagnetic waves at a rough interface between two different media

An iterative technique is developed to compute rigorously the electromagnetic wave reflection and transmission at a rough interface between two media. The method is based upon a wave function expansion technique, in which the electromagnetic field equations and the radiation condition are satisfied analytically, while the boundary conditions at the interface are satisfied by an iterative minimization of the integrated square error in the boundary conditions. In each step of iteration, only Fourier transforms of the spectral and spatial variables occur. As starting value, the Sommerfeld-Weyl plane interface results can be employed.