Mie Scattering in the Macroscopic Response and the Photonic Bands of Metamaterials

TL;DR

This paper introduces a numerical method to calculate the effective dielectric tensor of complex metamaterials, capturing Mie resonances and photonic band structures beyond the long wavelength limit, enabling advanced optical metamaterial design.

Contribution

A general formalism for computing the dielectric response of complex metamaterials that includes Mie resonances and photonic bands beyond traditional approximations.

Findings

Method reproduces Mie resonances accurately.

Captures photonic band structures in complex geometries.

Enables design of negative refractive metamaterials at optical wavelengths.

Abstract

We present a general approach for the numerical calculation of the effective dielectric tensor of metamaterials and show that our formalism can be used to study metamaterials beyond the long wavelength limit. We consider a system composed of high refractive index cylindric inclusions and show that our method reproduces the Mie resonant features and photonic band structure obtained from a multiple scattering approach, hence opening the possibility to study arbitrarily complex geometries for the design of resonance-based negative refractive metamaterials at optical wavelengths.