Preprint 49/2011

Wave scattering by many small bodies

Alexander Ramm

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Submission date: 03. Aug. 2011
Pages: 13
Bibtex
MSC-Numbers: 78A45, 35J05
PACS-Numbers: 03.04.Kf, 41.20.Jb, 71.36.+c
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Abstract:
Wave scattering by many (M = M(a)) small bodies, at the boundary of which an interface boundary condition is imposed, is studied.

Smallness of the bodies means that ka << 1, where a is the characteristic dimension of the body and k = 2&#x03C0; &#x03BB; is the wave number in the medium in which small bodies are embedded.

Equation for the effective field is derived in the limit as a 0, M(a) →∞, at a suitable rate.

07.06.2018, 00:12