Skip to Main content Skip to Navigation
Journal articles

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
CNRS - Centre National de la Recherche Scientifique : UMR7231, UMA - Unité de Mathématiques Appliquées, Inria Saclay - Ile de France
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.
Document type :
Journal articles
Complete list of metadatas
Contributor : Aurélien Arnoux <>
Submitted on : Wednesday, August 28, 2013 - 11:03:25 AM
Last modification on : Saturday, September 26, 2020 - 11:44:08 PM

Links full text



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, American Physical Society, 2012, 85 (20), ⟨10.1103/physrevb.85.205138⟩. ⟨hal-00849562⟩



Record views