Mesoscopic magnetism in dielectric photonic crystal meta materials: topology and inhomogeneous broadening

TL;DR

This paper investigates how topology and inhomogeneous broadening influence the magnetic response of dielectric photonic crystal metamaterials, revealing that broadening can suppress negative permeability phenomena.

Contribution

It introduces a homogenization theory analysis of dielectric photonic crystals, highlighting the effects of topology and inhomogeneous broadening on magnetic properties.

Findings

Topology shifts Mie resonance frequency

Inhomogeneous broadening suppresses negative-mu effects

Broadening effects become significant when dR/R0 >> epsilon''/epsilon'

Abstract

We consider meta materials made from a two-dimensional dielectric rod-type photonic crystal. The magnetic response is studied within the recently developed homogenization theory and we in particular study the effects of topology and inhomogeneous broadening. While topology itself mainly affects the Mie resonance frequency we find that the dispersion in the topological radius R of the dielectric rods may lead to significant inhomogeneous broadening and suppression of the negative-mu phenomena for dR/R0 >> epsilon''/epsilon', with epsilon=epsilon'+i*epsilon'' being the relative dielectric function of the rods.