Scattering cross sections for multiple scale rough surfaces based on a unified full wave approach

The radar cross sections for random rough surfaces are evaluated. The rough surface height autocorrelation functions and the corresponding rough surface height spectral density functions are assumed in these examples to be Gaussian. The rough surface is regarded as an ensemble of patches of random rough surfaces with arbitrary orientations and the total radar cross sections are obtained by averaging over the random slopes of the ensemble of patches. The size of the patches determine the scales of roughness within each patch (or pixel) as well as the larger scale surfaces upon which the arbitrarily oriented patches lie. It is shown that the values of the full wave radar cross sections are stationary over a wide range of pixel sizes.