Anderson Localization in Metamaterials with Compositional Disorder

TL;DR

This paper derives the localization length in one-dimensional bi-layered metamaterials with compositional disorder, comparing conventional and mixed right/left-handed materials, supported by analytical and numerical results.

Contribution

It provides a universal analytical expression for localization length applicable to both conventional and mixed metamaterials with compositional disorder.

Findings

Localization length is universal across material types.

Analytical results match numerical simulations.

Mixed right/left-handed materials behave similarly to conventional ones.

Abstract

The localization length has been derived for one-dimensional bi-layered structures with random perturbations in the refractive indices for each type of layers. Main attention is paid to the comparison between conventional materials and those consisting of mixed right-hand and left-hand materials. It is shown that the localization length is described by the universal expression for both cases. The analytical results are confirmed by numerical simulations.