Open AccessAnalytical and statistical investigation on structural fluctuations induced radiation in photonic crystal slabs
Author(s) -
Liangfu Ni,
Jicheng Jin,
Chao Peng,
Zhengbin Li
Publication year - 2017
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.25.005580
Subject(s) - supercell , photonic crystal , optics , finite element method , radiative transfer , physics , upper and lower bounds , computational physics , statistical physics , mathematics , mathematical analysis , thunderstorm , meteorology , thermodynamics
We extend the coupled-wave-theory (CWT) framework to a supercell lattice photonic crystal (PC) structure to model the radiation of high-Q resonances under structural fluctuations since they are inevitable in realistic devices. The comparison of CWT results and the finite-element-method (FEM) simulations confirm the validity of CWT. It is proved that the supercell model approaches a realistic finite-size PC device when the supercell size is large enough. The Q factors within fluctuated structures are constraint owing to the appearance of fractional orders of radiative waves, which are induced by structural fluctuations. For a large enough footprint size, the upper bound of the Q factor is determined by the fabrication precision, and further increasing the device size will no longer benefit the Q factor.