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This text is devoted to analytical methods for calculating wave scattering from rough but, on average, planar surfaces, with the roughness being both deterministic and statistical in nature. Along with the classical concepts, the monograph includes some new results which up to now were only available in the general literature. A systematic development of the various methods allows the results to be presented in simple and universal forms. For the benefit of the reader, all calculations are given in detail and can easily be followed. The necessary mathematical background is summarized, and further details on well known issues, for example, the Rayleigh hypothesis, are included.
Scattering amplitude and its properties; Helmholtz formula and Rayleigh hypothesis; small perturbatio method; Kirchhoff tanget plane approximation; "nonclassical" approaches to wave scattering at rough surfaces; waveguid with statistically rough boundary in noncorrelated successive relfectins approximation.
