I. Simonsen, D. Vandembroucq, and S. Roux Wave scattering from self-affine surfaces Phys. Rev. E 61, 5914 (2000).
Abstract
Electromagnetic wave scattering from a perfectly reflecting self-affine surface is considered. Within the framework of the Kirchhoff approximation, we show that the scattering cross section can be exactly written as a function of the scattering angle via a centered symmetric Levy distribution for the general roughness amplitude, Hurst exponent and wavelength of the incident wave. Our prediction is supported by direct numerical simulations.
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