ε→0 limits in the Mie-scattering theory

Abstract

The classical Mie theory for electromagnetic radiation scattering by homogeneous spherical particles is considered in the dielectric constant ($\ensuremath{\epsilon}$) $\ensuremath{\rightarrow}0$ limit separately for the materials of the particles and the surrounding medium. The maxima of a scattered transverse electrical (TE) field for the surrounding medium materials with $\ensuremath{\epsilon}\ensuremath{\rightarrow}0$ limits are investigated. The effective multipole polarizabilities of the corresponding scattering particles are investigated. The possibility of achieving magnetic dipole resonance and accordingly of constructing metamaterials with negative refractive index for aggregates of spherical particles in the surrounding medium with the dielectric constant near zero is demonstrated.