Calculation of Electromagnetic Wave Scattering by a Small Impedance Particle of an Arbitrary Shape

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

^⋆ Corresponding author. E-mail: ramm@math.ksu.edu

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(a^{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.