Abstract
A method, based on a technique introduced by A. V. Belobrov and I. M. Fuks [Radiophys. Electron. (Izv. VUZ Radiofiz.) 29 (12), 1083–1089 (1986)], is studied for the case of scalar wave scattering from one-dimensional randomly rough surfaces with a Gaussian roughness spectrum. Using a local parabolic approximation of the rough surface, the surface source density is obtained. The small parameter in such an approximation is the inverse of the radius of the surface curvature multiplied by the wave number and the cube of the cosine of the local angle of incidence. The bistatic scattering cross sections per unit length are derived for the Dirichlet and Neumann boundary conditions. The first term for each is that of the Kirchhoff approximation; successive terms account for diffraction effects. Numerical results for both soft and hard surfaces are obtained and compared with other available numerical results. [Work supported by NSF and ONR.]
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