Wave scattering by many small bodies
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Submission date: 03. Aug. 2011
MSC-Numbers: 78A45, 35J05
PACS-Numbers: 03.04.Kf, 41.20.Jb, 71.36.+c
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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 = 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.