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Escalante JM, Skipetrov SE. Level spacing statistics for light in two-dimensional disordered photonic crystals. Sci Rep. 2018;8(1):11569doi: 10.1038/s41598-018-29996-1.
Escalante, J. M., & Skipetrov, S. E. (2018). Level spacing statistics for light in two-dimensional disordered photonic crystals. Scientific reports, 8(1), 11569. https://doi.org/10.1038/s41598-018-29996-1
Escalante, Jose M, and Skipetrov, Sergey E. "Level spacing statistics for light in two-dimensional disordered photonic crystals." Scientific reports vol. 8,1 (2018): 11569. doi: https://doi.org/10.1038/s41598-018-29996-1
Escalante JM, Skipetrov SE. Level spacing statistics for light in two-dimensional disordered photonic crystals. Sci Rep. 2018 Aug 01;8(1):11569. doi: 10.1038/s41598-018-29996-1. PMID: 30068924; PMCID: PMC6070492.
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Sci Rep. 2018 Aug 01;8(1):11569. doi: 10.1038/s41598-018-29996-1.

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

Scientific reports

Jose M Escalante, Sergey E Skipetrov

Affiliations

  1. Univ. Grenoble Alpes, CNRS, LPMMC, 38000, Grenoble, France.
  2. Univ. Grenoble Alpes, CNRS, LPMMC, 38000, Grenoble, France. [email protected].

PMID: 30068924 PMCID: PMC6070492 DOI: 10.1038/s41598-018-29996-1

Abstract

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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