Waves in random media

Richard L. Weaver

doi:10.1016/0020-7225(84)90116-2

Waves in random media

Richard L. Weaver

Physics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English (US)
Pages (from-to)	1149-1157
Number of pages	9
Journal	International Journal of Engineering Science
Volume	22
Issue number	8-10
DOIs	https://doi.org/10.1016/0020-7225(84)90116-2
State	Published - 1984

ASJC Scopus subject areas

Materials Science(all)
Engineering(all)
Mechanics of Materials
Mechanical Engineering

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AB - 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.

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EP - 1157

JO - International Journal of Engineering Science

JF - International Journal of Engineering Science

SN - 0020-7225

IS - 8-10

ER -

Waves in random media

Abstract

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