Search

MiS Preprint Repository

Delve into the future of research at MiS with our preprint repository. Our scientists are making groundbreaking discoveries and sharing their latest findings before they are published. Explore repository to stay up-to-date on the newest developments and breakthroughs.

MiS Preprint
49/2011

Wave scattering by many small bodies

Alexander Ramm

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 $k=\frac{2\pi}{\lambda}$ 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.

Received:
Aug 3, 2011
Published:
Aug 8, 2011
MSC Codes:
78A45, 35J05
PACS:
03.04.Kf, 41.20.Jb, 71.36.+c

Related publications

Preprint
2011 Repository Open Access
Alexander G. Ramm

Wave scattering by many small bodies