Controlling Anderson localization in disordered heterostructures with L\'evy-type distribution

TL;DR

This paper demonstrates how varying the exponent of a Lévý-type distribution in a disordered heterostructure allows control over Anderson localization, affecting localization length across different frequencies.

Contribution

It introduces a novel disordered heterostructure with a Lévý distribution for refractive index, enabling tunable Anderson localization through the exponent parameter.

Findings

Localization length varies with the Lévý distribution exponent.

Controllability of Anderson localization is achieved by adjusting the exponent.

Effect observed across different frequency ranges.

Abstract

In this paper, we propose a disordered heterostructure in which the distribution of refractive index of one of its constituents follows a L\'evy-type distribution characterized by the exponent $\alpha$. For the normal and oblique incidences, the effect of $\alpha$ variation on the localization length is investigated in different frequency ranges. As a result, the controllability of Anderson localization can be achieved by changing the exponent $\alpha$ in the disordered structure having heavy tailed distribution.