Anomalous Localization of Light in One-Dimensional Disordered Photonic Superlattices

The Anderson localization of light in one-dimensional disordered photonic superlattices is theoretically studied. The system is considered to be made of alternating dispersive and nondispersive layers of different randomthickness. Dispersive slabs of the heterostructure are characterized by Drude-li...

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Main Authors: D Aristizábal-Giraldo, E Reyes-Gómez
Format: Article
Language:English
Published: Universidad EAFIT 2013-09-01
Series:Ingeniería y Ciencia
Subjects:
Online Access:http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/1638
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author D Aristizábal-Giraldo
E Reyes-Gómez
author_facet D Aristizábal-Giraldo
E Reyes-Gómez
author_sort D Aristizábal-Giraldo
collection DOAJ
description The Anderson localization of light in one-dimensional disordered photonic superlattices is theoretically studied. The system is considered to be made of alternating dispersive and nondispersive layers of different randomthickness. Dispersive slabs of the heterostructure are characterized by Drude-like frequency-dependent electric permittivities and magnetic permeabilities. Numerical results for the localization length are obtained via an analytical model, only valid in the case of weak disorder, and also through its general definition involving the transmissivity of the multilayered system. Anomalous λ4- and  λ-4-dependencies of the localization length in positive-negative disordered photonic superlattices are obtained, in certain cases, in the long and short wavelength limits, respectively. PACS: 78.67.Pt; 42.25.-p; 46.65.+g; 72.15.Rn
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spelling doaj.art-317d535b8a714dd38317d062f1d074752022-12-21T22:38:59ZengUniversidad EAFITIngeniería y Ciencia1794-91652256-43142013-09-0191810.17230/ingciecia.9.18.81638Anomalous Localization of Light in One-Dimensional Disordered Photonic SuperlatticesD Aristizábal-Giraldo0E Reyes-Gómez1Universidad de AntioquiaUniversidad de AntioquiaThe Anderson localization of light in one-dimensional disordered photonic superlattices is theoretically studied. The system is considered to be made of alternating dispersive and nondispersive layers of different randomthickness. Dispersive slabs of the heterostructure are characterized by Drude-like frequency-dependent electric permittivities and magnetic permeabilities. Numerical results for the localization length are obtained via an analytical model, only valid in the case of weak disorder, and also through its general definition involving the transmissivity of the multilayered system. Anomalous λ4- and  λ-4-dependencies of the localization length in positive-negative disordered photonic superlattices are obtained, in certain cases, in the long and short wavelength limits, respectively. PACS: 78.67.Pt; 42.25.-p; 46.65.+g; 72.15.Rnhttp://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/1638anderson localizationanomalous phenomenon brewsteroptical Impedance.
spellingShingle D Aristizábal-Giraldo
E Reyes-Gómez
Anomalous Localization of Light in One-Dimensional Disordered Photonic Superlattices
Ingeniería y Ciencia
anderson localization
anomalous phenomenon brewster
optical Impedance.
title Anomalous Localization of Light in One-Dimensional Disordered Photonic Superlattices
title_full Anomalous Localization of Light in One-Dimensional Disordered Photonic Superlattices
title_fullStr Anomalous Localization of Light in One-Dimensional Disordered Photonic Superlattices
title_full_unstemmed Anomalous Localization of Light in One-Dimensional Disordered Photonic Superlattices
title_short Anomalous Localization of Light in One-Dimensional Disordered Photonic Superlattices
title_sort anomalous localization of light in one dimensional disordered photonic superlattices
topic anderson localization
anomalous phenomenon brewster
optical Impedance.
url http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/1638
work_keys_str_mv AT daristizabalgiraldo anomalouslocalizationoflightinonedimensionaldisorderedphotonicsuperlattices
AT ereyesgomez anomalouslocalizationoflightinonedimensionaldisorderedphotonicsuperlattices