Non-Conventional Anderson Localization in Bilayered Structures with Metamaterials

Abstract

We have developed an approach allowing us to resolve the problem of non-conventional Anderson localization emerging in bilayered periodic-on-average structures with alternating layers of right-handed and left-handed materials. Recently, it was numerically discovered that in such structures with weak fluctuations of refraction indices, the localization length $L_{loc}$ can be enormously large for small wave frequencies $\omega$. Within the fourth order of perturbation theory in disorder, ${\sigma }^2\ll 1$, we derive the expression for $L_{loc}$ valid for any $\omega$. In the limit $\omega \to 0$ one gets a quite specific dependence, $L_{loc}^{-1}\propto {\sigma }^4{\omega }^8$. Our approach allows one to establish the conditions under which this effect can be observed.

5 pages, 3 figures

References in corpus (2)

• Anomalous Localization in Low-Dimensional Systems with Correlated Disorder
• Anderson Localization in Metamaterials with Compositional Disorder

Cited by in corpus (5)

• Anderson localization in metamaterials and other complex media
• Anomalous localization behaviors in disordered pseudospin systems: Beyond the conventional Anderson picture
• Non-Universal Critical Behaviors in Disordered Pseudospin-1 Systems
• Localization length of nearly periodic layered metamaterials
• Resonant enhancement of Anderson localization: Analytical approach