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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  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 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.

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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