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

被引：18
作者：
Escalante, Jose M. [1 ]
Skipetrov, Sergey E. [1 ]
机构：
[1] Univ Grenoble Alpes, CNRS, LPMMC, F-38000 Grenoble, France
来源：
SCIENTIFIC REPORTS | 2018年 / 8卷
关键词：
ANDERSON LOCALIZATION; QUANTUM CHAOS; BAND-GAP; TRANSPORT; WAVES;
D O I：
10.1038/s41598-018-29996-1
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
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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页数：12
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