Anderson Localization in Bi-layer Array with Compositional Disorder: Conventional Photonic Crystals versus Metamaterials

TL;DR

This paper derives the localization length in one-dimensional bi-layer structures with disorder, comparing conventional photonic crystals and metamaterials, and confirms the universality of the localization length through analytical and numerical methods.

Contribution

It provides a universal analytical expression for localization length in disordered bi-layer structures, including both conventional and metamaterial layers.

Findings

Localization length is universal for both conventional and metamaterial layers.

Analytical results are validated by numerical simulations.

Disorder affects wave localization similarly across different material types.

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.