A NUMERICAL STUDY OF ROUGH-SURFACE SCATTER

A computationally efficient formulation of the method of moments is developed and applied to the problem of scattering from one-dimensional random pressure-release surfaces. Comparisons are made between the predictions of small-slope and operator expansions and a reference solution obtained by matrix inversion for surfaces characterized by a power-law wavenumber spectrum. For Fresnel parameters greater than unity, a significant increase in backscatter over a wide range of grazing angles is found that is inconsistent with composite-roughness theory, and which is only partially predicted by the various approximations. The small-slope approximation is then applied to the three-dimensional scattering problem, and it is shown that the failure of such approximations carries over from the two-dimensional case to three dimensions.

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