Controlling Anderson localization in disordered heterostructures with Lévy-type distribution

Abstract

In this paper, we propose a disordered heterostructure in which the distribution of refractive index of one of its constituents follows a Lévy-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.

5 pages, 8 figures, accepted in Journal of Optics

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Cited by in corpus (4)

• Light in correlated disordered media
• Dirac wave transmission in Lévy disordered systems
• A Lloyd-model generalization: Conductance fluctuations in one-dimensional disordered systems
• Wave transmission and its universal fluctuations in one-dimensional systems with Lévy-like disorder: Schrödinger, Klein-Gordon and Dirac equations