The scattering of electromagnetic waves from a perfectly conductive slightly random surface is studied by a probabilistic method developed recently. For a plane wave incident on a homogeneous, isotropic, Gaussian random surface, a stochastic wave solution involving multiple scattering effects is approximately obtained by use of the Wiener–Hermite expansion technique in the probability theory. Then the backscattering cross section per unit surface is derived for both like and cross polarization in a closed form and is shown in the figures. The surface waves propagating along the random surface are discussed.
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Nakayama et al. (1986) studied this question.
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