Level spacing statistics for light in two-dimensional disordered photonic crystals

We study the distribution of eigenfrequency spacings (the so-called level spacing statistics) for light in a two-dimensional (2D) disordered photonic crystal composed of circular dielectric (silicon) rods in air. Disorder introduces localized transverse-magnetic (TM) modes into the band gap of the i...

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Autores principales: Escalante, Jose M., Skipetrov, Sergey E.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2018
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6070492/
https://www.ncbi.nlm.nih.gov/pubmed/30068924
http://dx.doi.org/10.1038/s41598-018-29996-1
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author Escalante, Jose M.
Skipetrov, Sergey E.
author_facet Escalante, Jose M.
Skipetrov, Sergey E.
author_sort Escalante, Jose M.
collection PubMed
description We study the distribution of eigenfrequency spacings (the so-called level spacing statistics) for light in a two-dimensional (2D) disordered photonic crystal composed of circular dielectric (silicon) rods in air. Disorder introduces localized transverse-magnetic (TM) modes into the band gap of the ideal crystal. The level spacing statistics is found to approach the Poisson distribution for these modes. In contrast, for TM modes outside the band gap and for transverse-electric (TE) modes at all frequencies, the level spacing statistics follows the Wigner-Dyson distribution.
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spelling pubmed-60704922018-08-03 Level spacing statistics for light in two-dimensional disordered photonic crystals Escalante, Jose M. Skipetrov, Sergey E. Sci Rep Article We study the distribution of eigenfrequency spacings (the so-called level spacing statistics) for light in a two-dimensional (2D) disordered photonic crystal composed of circular dielectric (silicon) rods in air. Disorder introduces localized transverse-magnetic (TM) modes into the band gap of the ideal crystal. The level spacing statistics is found to approach the Poisson distribution for these modes. In contrast, for TM modes outside the band gap and for transverse-electric (TE) modes at all frequencies, the level spacing statistics follows the Wigner-Dyson distribution. Nature Publishing Group UK 2018-08-01 /pmc/articles/PMC6070492/ /pubmed/30068924 http://dx.doi.org/10.1038/s41598-018-29996-1 Text en © The Author(s) 2018 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Escalante, Jose M.
Skipetrov, Sergey E.
Level spacing statistics for light in two-dimensional disordered photonic crystals
title Level spacing statistics for light in two-dimensional disordered photonic crystals
title_full Level spacing statistics for light in two-dimensional disordered photonic crystals
title_fullStr Level spacing statistics for light in two-dimensional disordered photonic crystals
title_full_unstemmed Level spacing statistics for light in two-dimensional disordered photonic crystals
title_short Level spacing statistics for light in two-dimensional disordered photonic crystals
title_sort level spacing statistics for light in two-dimensional disordered photonic crystals
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6070492/
https://www.ncbi.nlm.nih.gov/pubmed/30068924
http://dx.doi.org/10.1038/s41598-018-29996-1
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