Waves in random media
type: Item
instance of: scholarly article
title: Waves in random media
zbMATH Open document ID: 0553.73007
DOI: 10.1016/0020-7225(84)90116-2
author: Richard L. Weaver
published in: International Journal of Engineering Science
publication date: 1984-01-01T00:00:00Z
review text: A Dyson equation is used for comparisons of different approximations for the calculation of the wave number of the ensemble averaged linear harmonic response of a discrete random medium. The Lax quasicrystalline approximation and its several ''self-consistent'' generalizations are compared. Formal arguments for the order of the errors incurred in these approximate multiple-scattering theories are constructed. Monte Carlo numerical results on a one-dimensional medium are used to test these error estimates. Questions of incoherent energy transport in such media are illustrated with further numerical examples. The phenomenon of localization of normal modes and the absence of diffusion is demonstrated numerically in a one- dimensional medium.
Mathematics Subject Classification ID: 74A40
Mathematics Subject Classification ID: 74J20
Mathematics Subject Classification ID: 35P25
zbMATH DE Number: 3881936
zbMATH Keywords: self-consistent generalizations
zbMATH Keywords: Dyson equation
zbMATH Keywords: comparisons of different approximations
zbMATH Keywords: wave number
zbMATH Keywords: ensemble averaged linear harmonic response
zbMATH Keywords: discrete random medium
zbMATH Keywords: Lax quasicrystalline approximation
zbMATH Keywords: Formal arguments for the order of the errors
zbMATH Keywords: approximate multiple-scattering theories
zbMATH Keywords: Monte Carlo numerical results
zbMATH Keywords: one-dimensional medium
zbMATH Keywords: test
MaRDI profile type: Publication
full work available at URL: 0020-7225(84)90116-2
OpenAlex ID: W2075330027
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description: scientific article; zbMATH DE number 3881936