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Calculation of Electromagnetic Wave Scattering by a Small Impedance Particle of an Arbitrary Shape

Published online by Cambridge University Press:  17 July 2014

A. G. Ramm
Affiliation:
Department of Mathematics, Kansas State University, Manhattan, KS 66506-2602, USA
M. I. Andriychuk
Affiliation:
Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, NASU Naukova St., 3B, 79060, Lviv, Ukraine
Corresponding
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Abstract

Scattering of electromagnetic (EM) waves by small (ka ≪ 1) impedance particle D of an arbitrary shape, embedded in a homogeneous medium, is studied. Analytic, closed form, formula for the scattered field is derived. The scattered field is of the order O(a2 − κ), where κ ∈ [ 0,1) is a number. This field is much larger than in the case of Rayleigh-type scattering. The numerical results demonstrate a wide range of applicability of the analytic formula for the scattered field. Comparison with Mie-type solution is carried out for various boundary impedances and radii of the particle.

Type
Research Article
Copyright
© EDP Sciences, 2014

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References

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