量子电子学报, 2018, 35 (2): 191, 网络出版: 2018-04-23
二维新型函数光子晶体带隙结构研究
Band gap structure of two-dimensional new-type function photonic crystals
量子光学 二维函数光子晶体 带隙结构 绝对带隙 半Dirac点 quantum optics two-dimensional function photonic crystals band gap structure absolute band gap semi-Dirac points
摘要
用平面波展开法研究了二维函数光子晶体的带隙结构,其介质柱折射率为空间坐标函数。对TE和TM波带隙结构进行了数值分析,并与二维常规光子晶体(即介质柱折射率为常数) 带隙结构进行了比较。研究了介质柱半径ra、函数系数k和参数b对二维函数光子晶体带隙结构的影响,结果表明通过改变ra、k、b的取值, 可实现对二维函数光子晶体带隙的调节;二维函数光子晶体存在绝对带隙及半Dirac点。这些结论为光子器件设计提供了新的理论依据。
Abstract
The band gap structure of two-dimensional function photonic crystals is investigated with plane wave expansion method, and the refractive index of dielectric cylinder is space coordinate function. Band gap structure of TE and TM waves is analyzed numerically, and which is compared with two-dimensional conventional photonic crystals (the medium columns refractive index are constants). Influences of medium column radius ra, function coefficient k and parameter b on band gap structure of two-dimensional function photonic crystals are investigated. Results show that the band gap adjustment of two-dimensional function photonic crystals can be realize by changing the values of ra, k and b. There are absolute band gaps and semi-Dirac points in two-dimensional function photonic crystals. Results provide a new theoretical basis for the design of optics devices.
刘晓静, 张斯淇, 梁禺, 刘继平, 马季, 李宏, 孟祥东, 吴义恒, 陆景彬. 二维新型函数光子晶体带隙结构研究[J]. 量子电子学报, 2018, 35(2): 191. LIU Xiaojing, ZHANG Siqi, LIANG Yu, LIU Jiping, MA Ji, LI Hong, MENG Xiangdong, WU Yiheng, LU Jingbin. Band gap structure of two-dimensional new-type function photonic crystals[J]. Chinese Journal of Quantum Electronics, 2018, 35(2): 191.