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• W2061755004 abstract "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 expression for the effective wavenumber which assumes the validity of Lax's quasi-crystalline approximation but makes no further assumptions about scatterer size, and then we show that the Lloyd--Berry formula is obtained in the limit as the scatterer size tends to zero." @default.
• W2061755004 created "2016-06-24" @default.
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• W2061755004 date "2006-01-01" @default.
• W2061755004 modified "2023-10-18" @default.
• W2061755004 title "Multiple Scattering by Multiple Spheres: A New Proof of the Lloyd--Berry Formula for the Effective Wavenumber" @default.
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• W2061755004 doi "https://doi.org/10.1137/050636401" @default.
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