Multiple scattering by multiple spheres: a new proof of the Lloyd-Berry formula for the effective wavenumber

We provide the first classical derivation of the Lloyd-Berry formula for the effective wavenumber of an acoustic medium filled with a sparse random array of identical small scatterers. Our approach clarifies the assumptions under which the Lloyd-Berry formula is valid. More precisely, we derive an e...

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Bibliographic Details
Main Authors: Christopher Linton, P.A. Martin
Format: Default Preprint
Published: 2005
Subjects:
Other mathematical sciences not elsewhere classified
Multiple scattering
Effective wavenumber
Random media
Acoustics
Mathematical Sciences not elsewhere classified
Online Access:https://hdl.handle.net/2134/376
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