Wave Scattering from Statistically Rough Surfaces
Wave Scattering from Statistically Rough Surfaces

Author: F. G. Bass

Publisher: Elsevier

Published: 2013-10-22

Total Pages: 541

ISBN-13: 1483187756

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Wave Scattering from Statistically Rough Surfaces discusses the complications in radio physics and hydro-acoustics in relation to wave transmission under settings seen in nature. Some of the topics that are covered include radar and sonar, the effect of variations in topographic relief or ocean waves on the transmission of radio and sound waves, the reproduction of radio waves from the lower layers of the ionosphere, and the oscillations of signals within the earth-ionosphere waveguide. The book begins with some fundamental idea of wave transmission theory and the theory of random processes as used to rough surfaces and to wave fields. This discussion is followed by an analysis of the average fields of sound and electromagnetic waves. A section on spatial correlation characteristics in the approximation of small perturbations is then given. Another chapter of the text explains the Kirchhoff method. The book will provide useful information to physicists, mechanical engineer, students, and researchers in the field of acoustics.

Fundamental Approximations for the Scattering of Acoustic Waves from a Rough Surface
Fundamental Approximations for the Scattering of Acoustic Waves from a Rough Surface

Author: Helmut Trinkaus

Publisher:

Published: 1973

Total Pages: 31

ISBN-13:

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The three main types of approximations used for the scattering of acoustic waves from rough surfaces are discussed: Rayleigh's Ansatz, the Kirchhoff geometrical-interference approach and the perturbation technique as used by Meecham. In order to compare them they are given in a uniform wave-number representation. They are justified with aid of the Helmholtz integral, which is completely Fourier-transformed. In each approximation the scattering formulae consist of the product of two parts: one that is represented by a spectrum of the phase modulations induced by the surface irregularities and another that is a geometrical factor. The corresponding first steps in each approximation are shown to be quite close to each other. The limits of validity are estimated. An interpolation formula unifying the different types of approximations is proposed. (Author).

A theoretical and experimental investigation of the scattering of acoustic waves by randomly rough surfaces
A theoretical and experimental investigation of the scattering of acoustic waves by randomly rough surfaces

Author: Patrick Joseph Welton

Publisher:

Published: 1975

Total Pages: 188

ISBN-13:

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The scattering of acoustic waves by randomly rough surfaces is studied both theoretically and experimentally. A new formulation of the scattering integrals, based on the potential method, is developed. Although the formal solution of scattering problems based on the potential method includes both the singly scattered and multiply scattered field components, only the expression for the singly scattered field is specialized to a form suitable for scattering calculations. Upon taking the ensemble average of the scattered pressure, a very general result is obtained which shows that, except for a proportionality constant, the mean scattered pressure and the probability density function of surface heights are Fourier transform pairs. The mean scattered pressure is calculated for both a Gaussian and a Laplacian probability density function.