Band-Limited Exponential Correlation Function for Rough-Surface Scattering

A band-limited exponential correlation function is presented for use in studies of rough-surface scattering. This model of surface statistics is developed by multiplying the power spectral density of a standard exponential correlation function surface with a Gaussian rolloff at high frequencies in order to limit the high-frequency spectral content of the surface. A parameter is introduced to describe the Gaussian rolloff, and the corresponding correlation function is determined. The primary proposed use of the model is in assessing the contributions of surface high-frequency content in the scattering process, particularly in approximate theories of surface scattering. Methods for incorporating this surface description into standard approximate scattering theories are described, and sample backscattering results provided to illustrate use of the model