Wave scattering from self-affine surfaces

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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RevTeX, 4 pages including 2 figures. Submitted Phys. Rev. Lett

Scientific paper

10.1103/PhysRevE.61.5914

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 general roughness amplitude, Hurst exponent and wavelength of the incident wave. The amplitude of the specular peak, its width and its position are discussed as well as the power law decrease (with scattering angle) of the scattering cross section.

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