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MiS Preprint

Wave scattering by many small bodies

Alexander Ramm


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 $k=\frac{2\pi}{\lambda}$ is the wave number in the medium in which small bodies are embedded.

Equation for the effective field is derived in the limit as $a \to 0$, $M(a) \to \infty$, at a suitable rate.

MSC Codes:
78A45, 35J05
03.04.Kf, 41.20.Jb, 71.36.+c

Related publications

2011 Repository Open Access
Alexander G. Ramm

Wave scattering by many small bodies