Calculation of electromagnetic wave scattering by a small impedance particle of an arbitrary shape

Ramm, Alexander G.; Andriychuk, M. I.

doi:10.1051/mmnp/20149517

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Calculation of electromagnetic wave scattering by a small impedance particle of an arbitrary shape

Ramm, Alexander G.; Andriychuk, M. I.

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(a[superscript 2 − 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 waves; Wave scattering by small body; Boundary impedance; Computational testing

Journal: Mathematical Modelling of Natural Phenomena, Volume: 9, Issue: 5, Starting Page: 254, Ending Page: 269

Date: 2014

Publisher URL: http://doi.org/10.1051/mmnp/20149517

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Record URL: http://hdl.handle.net/2097/18399

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