Wave scattering by many small bodies: transmission boundary conditions

dc.citation.doi10.1016/S0034-4877(13)60033-6en_US
dc.citation.epage290en_US
dc.citation.issue3en_US
dc.citation.jtitleReports on Mathematical Physicsen_US
dc.citation.spage279en_US
dc.citation.volume71en_US
dc.contributor.authorRamm, Alexander G.
dc.contributor.authoreidrammen_US
dc.date.accessioned2013-08-29T18:30:13Z
dc.date.available2013-08-29T18:30:13Z
dc.date.issued2013-06-01
dc.date.published2013en_US
dc.description.abstractWave scattering by many (M = M(a)) small bodies, at the boundary of which transmission boundary conditions are imposed, is studied. Smallness of the bodies means that ka << 1, where a is the characteristic dimension of the body and k = [2π/λ] is the wave number in the medium in which small bodies are embedded. Explicit asymptotic formulas are derived for the field scattered by a single small scatterer of an arbitrary shape. Equation for the effective field is derived in the limit as a → 0 while M(a) → ∞ at a suitable rate.en_US
dc.identifier.urihttp://hdl.handle.net/2097/16380
dc.language.isoen_USen_US
dc.relation.urihttp://doi.org/10.1016/S0034-4877(13)60033-6en_US
dc.rightsThis Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subjectTransmission boundary conditionsen_US
dc.subjectMany-body wave scatteringen_US
dc.subjectEffective fielden_US
dc.titleWave scattering by many small bodies: transmission boundary conditionsen_US
dc.typeArticle (author version)en_US

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