## Wave scattering from rough surfacesWave Scattering From Rough Surfaces is devoted to analytical methods for calculating wave scattering from reasonably plane but rough surfaces, with the roughness being both deterministic and statistical in nature. Along with the classical concepts, the monograph includes some new results which were up to now 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 listed. |

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### Contents

Introduction | 1 |

Scattering Amplitude and Its Properties | 11 |

Helmholtz Formula and Rayleigh Hypothesis | 43 |

Copyright | |

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### Common terms and phrases

according Acoust applied approach arbitrary assume averaging boundary condition boundary problem calculating coincides consider coordinates correlation function corresponding density dipole Dirichlet problem easily elevations energy flux exact solution exp(i expansion exponential expression factor following form fulfilled grazing angle Green's function half-space Helmholtz equation Hence homogeneous horizontal incident field incident wave inhomogeneous integral equation integral-power integrand iteration Jexp[-i kernel Kirchhoff approximation matrix mean reflection coefficient monopoles Neumann problem numerical obtain order terms perturbation theory plane waves polarized waves Rayleigh hypothesis Rayleigh parameter reciprocity theorem reflection coefficient region Q relation representation result rough boundary rough surfaces S-matrix S(Mo satisfies scalar scattered field scattered waves scattering amplitude scattering at rough Sect small parameter small perturbation method small slope approximation spectra statistical ensemble Substituting superposition surface sources Taking into account tangent plane approximation tion two-scale model unitarity virtue wave propagation wave scattering wave vector