Surface scattering and its application to sharply inclined roughness of very high spatial frequency

Abstract

The Rayleigh method is used to arrive at a new demonstration of the formulae for the excitation rate of scattered waves and the second order correction of the transmission and reflection rate resulting from the interface of a most general but low amplitude sinusoidal undulation. This procedure makes it possible to see the resulting perturbation in the proximity of the separating surface. When the spatial undulation period is very short in relation to the wave length, it is clear that electrostatic distribution tends to occur in the electric field; this paper discusses the fitting of field areas where this approximation applies to those where the usual electromagnetic representation must be used. This approximation greatly simplifies the task and provides simple results.