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Usual Anderson localization restored in bilayered left- and right-handed structures

Agnès Maurel 1 Abdelwaheb Ourir 1 Jean-François Mercier 2 Vincent Pagneux 3 
2 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : We present a study of the attenuation length in a one-dimensional array of alternating left- and right-handed materials in which both the permittivities and the permeabilities are disordered. This type of structure has been shown to present an anomaly in the attenuation length when only permeabilities are disordered. We derive a simple analytical expression of the attenuation length, when the disorder in the refraction index is due to perturbations in both the permeability and the permittivity. Our expression is able to explain the transition to the anomalous behavior when perturbation only in the permeability or only in the permittivity is considered. Besides, we show that the anomaly is dramatically affected when considering perturbations in permeability and permittivity. The coupling effects are able to restore the ordinary localization length. © 2012 American Physical Society.
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Agnès Maurel, Abdelwaheb Ourir, Jean-François Mercier, Vincent Pagneux. Usual Anderson localization restored in bilayered left- and right-handed structures. Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2012, 85 (20), ⟨10.1103/physrevb.85.205138⟩. ⟨hal-00849562⟩



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