Scattering by penetrable acoustic targets
type: Item
instance of: scholarly article
title: Scattering by penetrable acoustic targets
zbMATH Open document ID: 0578.76080
DOI: 10.1016/0165-2125(84)90005-2
author: G. A. Kriegsmann
author: Andrew N. Norris
author: Edward L. Reiss
published in: Wave Motion
publication date: 1984-01-01T00:00:00Z
review text: The method of matched asymptotic expansions (M.A.E.) is used to obtain asymptotic expansion of the solutions of the scattering by penetrable acoustic targets (density \(\rho_ t)\) immersed in fluid (density \(\rho_ a)\). The parameter is \(\epsilon =\rho_ a/\rho_ t\). The outer and inner expansions correspond to the incident frequencies being far or near to the resonant frequencies, respectively. The far field expressions for the scattered fields, including the total cross-sections, that are obtained from M.A.E. and from partial expansion of the solution are in close agreement for sufficiently small values of \(\epsilon\). Furthermore, an asymptotic approximation is obtained for the scattered field that is uniformly valid in the incident frequency which is not obtained by nuclear resonance theory.
Mathematics Subject Classification ID: 76Q05
Mathematics Subject Classification ID: 34L99
Mathematics Subject Classification ID: 34Exx
Mathematics Subject Classification ID: 47A40
zbMATH DE Number: 3926526
zbMATH Keywords: matched asymptotic expansions
zbMATH Keywords: scattering
zbMATH Keywords: penetrable acoustic targets
zbMATH Keywords: resonant frequencies
zbMATH Keywords: far field
reviewed by: Gérard A. Maugin
MaRDI profile type: Publication
full work available at URL: 0165-2125(84)90005-2
OpenAlex ID: W2084128556
cites work: Q5544538
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cites work: Asymptotic solution of some diffraction problems
cites work: Q3268092
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description: scientific article; zbMATH DE number 3926526