Epsilons Near Zero limits in the Mie scattering theory

TL;DR

This paper investigates the behavior of electromagnetic scattering in epsilon near zero materials using Mie theory, revealing maxima in scattered fields and exploring the potential for negative refractive index metamaterials.

Contribution

It analyzes epsilon near zero limits in Mie scattering, revealing field maxima and proposing a method to create negative index metamaterials with spherical particles.

Findings

Maxima of TE scattered fields in epsilon near zero media

Effective multipole polarizabilities are characterized

Potential for magnetic dipole resonance and negative index metamaterials

Abstract

The classical Mie theory - electromagnetic radiation scattering by the homogeneous spherical particles - is considered in the epsilon near zero limits 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 the epsilon near zero limits are revealed. The effective multipole polarizabilities of the corresponding scattering particles are investigated. The possibility to achieve magnetic dipole resonance and accordingly to construct metamaterials with negative refractive index for the aggregates spherical particles in surrounding medium with the epsilon near zero limits is considered.