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

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 de-rived. 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 applica-bility 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. Key words: electromagnetic waves; wave scattering by small body; bound-ary impedance; computational testing.