Open AccessSufficient condition for producing photonic band gaps in one-dimensional optical waveguide networks
Author(s) -
Xin Xu,
Xiangbo Yang,
Shiqi Wang,
Timon Chengyi Liu,
Dongmei Deng
Publication year - 2015
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.23.027576
Subject(s) - unit (ring theory) , photonic crystal , waveguide , band gap , photonics , sequence (biology) , optics , mode (computer interface) , optoelectronics , physics , computer science , materials science , biology , mathematics , mathematics education , genetics , operating system
In this paper, we investigate the influences of the mode, number, and sequence of unit cell on the production of photonic band gaps (PBGs) in one-dimensional (1D) optical waveguide networks (OWNs) and find that the sufficient condition for producing PBG is related to the mode and number of unit cell, but the sequence of unit cell does not affect the production of PBGs. Only when a 1D OWN contains enough evanescent-mode unit cells can it produce PBGs. Otherwise, no matter how the sequence of unit cell is, the 1D OWN can not produce any PBG. It may deepen people's knowledge on the mechanism of the production of PBGs in 1D OWNs and may be useful for the designing of PBG materials/devices. On the other hand, according to the classification method of 1D lattices in solid state physics, we classify the unit cells of OWNs as two types: the simple and complex unit cells. This classification method may be useful for investigating OWNs strictly, deeply, and taxonomically.