volume | PIER Journals

2010-12-14

Electromagnetic Wave Scattering by a Thin Layer in Which Many Small Particles Are Embedded

Alexander G. Ramm

Professor Alexander G. Ramm

Mathematics Department

Kansas State University

USA

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Progress In Electromagnetics Research Letters, Vol. 19, 147-154, 2010

doi:10.2528/PIERL10103106

Abstract

Scattering of electromagnetic (EM) waves by many small particles (bodies), embedded in a thin layer, is studied. Physical properties of the particles are described by their boundary impedances. The thin layer of depth of the order O(a), with many embedded small particles of characteristic size a, is described by a boundary condition on the surface of the layer. The limiting interface boundary condition is obtained for the effective EM field in the limiting medium, in the limit a→0, where the number M(a) of the particles tends to infinity at a suitable rate.

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Alexander G. Ramm, "Electromagnetic Wave Scattering by a Thin Layer in Which Many Small Particles Are Embedded," Progress In Electromagnetics Research Letters, Vol. 19, 147-154, 2010.
doi:10.2528/PIERL10103106

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