## Wave Scattering from Rough SurfacesWave Scattering From Rough Surfaces deals with a theory that has many important practical applications. The monograph considers the subject by using the concept of scattering amplitude, which allows one to simplify theoretical constructions and, more importantly, to consider different approaches within a single theoretical scheme. It emphasizes new theoretical approaches developed in this area during the last two decades. For the second edition, a special section was added to present one of the most powerful among recently developed methods, namely the operator expansion method. |

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### Contents

Introduction | 1 |

Scattering Amplitude and Its Properties | 11 |

Helmholtz Formula and Rayleigh Hypothesis | 43 |

Copyright | |

5 other sections not shown

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### Common terms and phrases

according Acoust applied approach arbitrary assume averaging boundary condition boundary problem calculating coincides considered coordinates correlation function corresponding density dipole Dirichlet problem easily elevations energy flux exact solution exp(i expansion exponential expression factor following form Fourier transform grazing angle Green's function half-space Helmholtz equation Hence homogeneous horizontal incident field incident wave inhomogeneous integral equation integral-power integrand iteration kernel Kirchhoff approximation 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 respect result rough boundary rough surfaces S-matrix S(Mo 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 unitarity virtue Voronovich wave propagation wave scattering wave vector