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boundary impedance

Mathematical Modelling of Natural Phenomena (1)

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Calculation of Electromagnetic Wave Scattering by a SmallImpedance Particle of an Arbitrary Shape
A. G. Ramm, M. I. Andriychuk
Journal:

Mathematical Modelling of Natural Phenomena / Volume 9 / Issue 5 / 2014

Published online by Cambridge University Press:

17 July 2014, pp. 254-269

Print publication:

2014
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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.