Spectral properties of a two dimensional photonic crystal with quasi-integrable geometry

In this paper we study the statistical properties of the allowed frequencies for electromagnetic waves propagating in two-dimensional photonic crystals with quasi-integrable geometry. We compute the level spacing, group velocity, and curvature distributions (P(s), P(v), and P(c), respectively) and c...

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Published inJournal of physics. Conference series Vol. 475; no. 1; pp. 12009 - 5
Main Authors Cruz-Bueno, J J, Méndez-Bermúdez, J A, Arriaga, J
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.01.2013
Subjects
Crystals
Electromagnetic radiation
Group velocity
Mathematical analysis
Matrix theory
Photonic crystals
Physics
Refractivity
Spectra
Statistics
Two dimensional
Wave propagation
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Summary:In this paper we study the statistical properties of the allowed frequencies for electromagnetic waves propagating in two-dimensional photonic crystals with quasi-integrable geometry. We compute the level spacing, group velocity, and curvature distributions (P(s), P(v), and P(c), respectively) and compare them with the corresponding random matrix theory predictions. Due to the quasi-integrability of the crystal we observe signatures of intermediate statistics in P(s) and P(c) for high refractive index contrasts.
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ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/475/1/012009