Wave scattering by many small bodies: transmission boundary conditions

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dc.contributor.author Ramm, Alexander G.
dc.date.accessioned 2013-08-29T18:30:13Z
dc.date.available 2013-08-29T18:30:13Z
dc.date.issued 2013-06-01
dc.identifier.uri http://hdl.handle.net/2097/16380
dc.description.abstract Wave 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.language.iso en_US en_US
dc.relation.uri http://doi.org/10.1016/S0034-4877(13)60033-6 en_US
dc.rights This 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.uri http://rightsstatements.org/vocab/InC/1.0/
dc.subject Transmission boundary conditions en_US
dc.subject Many-body wave scattering en_US
dc.subject Effective field en_US
dc.title Wave scattering by many small bodies: transmission boundary conditions en_US
dc.type Article (author version) en_US
dc.date.published 2013 en_US
dc.citation.doi 10.1016/S0034-4877(13)60033-6 en_US
dc.citation.epage 290 en_US
dc.citation.issue 3 en_US
dc.citation.jtitle Reports on Mathematical Physics en_US
dc.citation.spage 279 en_US
dc.citation.volume 71 en_US
dc.contributor.authoreid ramm en_US


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