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Calculation of Electromagnetic Wave Scattering by a SmallImpedance Particle of an Arbitrary Shape

Published online by Cambridge University Press:  17 July 2014

A. G. Ramm  and
M. I. Andriychuk
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 author. E-mail: ramm@math.ksu.edu
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Abstract

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

Keywords

electromagnetic waveswave scattering by small bodyboundary impedancecomputational testing
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 9 , Issue 5: Spectral problems , 2014 , pp. 254 - 269
Copyright
© EDP Sciences, 2014

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