Geodesic
Calculation of Electromagnetic Wave Scattering by a Small Impedance Particle of an Arbitrary Shape
A. G. Ramm1 ; M. I. Andriychuk2
1 Department of Mathematics, Kansas State University, Manhattan, KS 66506-2602, USA
2 Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, NASU Naukova St., 3B, 79060, Lviv, Ukraine
Mathematical modelling of natural phenomena, Tome 9 (2014) no. 5, pp. 254-269.

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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.
DOI : 10.1051/mmnp/20149517

A. G. Ramm 1 ; M. I. Andriychuk 2

1 Department of Mathematics, Kansas State University, Manhattan, KS 66506-2602, USA
2 Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, NASU Naukova St., 3B, 79060, Lviv, Ukraine 
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A. G. Ramm; M. I. Andriychuk. Calculation of Electromagnetic Wave Scattering by a Small Impedance Particle of an Arbitrary Shape. Mathematical modelling of natural phenomena, Tome 9 (2014) no. 5, pp. 254-269. doi : 10.1051/mmnp/20149517. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20149517/

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