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

4th National Meeting in Chaos, Complex System and Time Series

Cruz-Bueno, J.J.^1 ; Méndez-Bermúdez, J.A.^2 ; Arriaga, J.^2

Facultad de Ciencias de la Electrónica, Benemérita Universidad Autónoma de Puebla, Puebla 72570, Mexico^1

Instituto de Física, Benemérita Universidad Autónoma de Puebla, Apartado Postal J-48, Puebla 72570, Mexico^2

关键词: Curvature distributions;    Group velocities;    High refractive index contrasts;    Quasi integrable;    Random matrix theory;    Spectral properties;    Statistical properties;    Two-dimensional photonic crystals;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/475/1/012009/pdf
DOI  :  10.1088/1742-6596/475/1/012009

来源: IOP

【 摘 要 】

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.