Electromagnetic Wave Scattering by Small Impedance Particles of an Arbitrary Shape

TL;DR

This paper derives an analytic formula for electromagnetic wave scattering by small impedance particles of arbitrary shape, revealing larger scattered fields than Rayleigh scattering and discussing new physical effects in media with many such particles.

Contribution

It provides a new analytic formula for scattering by small impedance particles and introduces an equation for the effective field in media with many particles, highlighting novel physical effects.

Findings

Scattered field order is $O(a^{2-})$, larger than Rayleigh scattering.

Derived an equation for the effective electromagnetic field with many particles.

Discussed novel physical effects in media with embedded impedance particles.

Abstract

Scattering of electromagnetic (EM) waves by one and many small ($ka\ll 1$) impedance particles $D_m$ of an arbitrary shape, embedded in a homogeneous medium, is studied. Analytic formula for the field, scattered by one particle, is derived. The scattered field is of the order $O(a^{2-\kappa})$, where $\kappa \in [0,1)$ is a number. This field is much larger than in the Rayleigh-type scattering. An equation is derived for the effective EM field scattered by many small impedance particles distributed in a bounded domain. Novel physical effects in this domain are described and discussed.