A two-dimensional photonic crystal with six large bandgaps formed by a hexagonal lattice of anisotropic cylinders
Zhuang Fei (庄飞)ac, Wu Liang (吴良)a, He Sai-Ling (何赛灵)ab
a Center for Optical and Electromagnetic Research, State Key Laboratory for Modern Optical Instrumentation, Zhejiang University, Yu-Quan, Hangzhou 310027, China; b Department of Electromagnetic Theory, Royal Institute of Technology, S-100 44 Stockholm, Sweden; c Department of Physics, Hangzhou Teacher's College, Hangzhou 310012, China
Abstract The plane-wave expansion method is used to calculate the band structure of a two-dimensional photonic crystal formed by a hexagonal structure of anisotropic cylinders. Two cylindrical inclusions in the unit cell have two different radii, R1 and R2 (R1<R2). By reducing the symmetry of the structure and choosing appropriately parameters R2 and s=R1/R2 (s<1), we obtain six large complete bandgaps, among which three are over 0.05 $\omega$e (where $\omega_{\rm e}=\frac{2\pi c}{a}$) in the high region of the normalized frequency (however, one of these over 0.065 $\omega$e is not stable). There are two other stable complete bandgaps in the low-frequency region.
Received: 27 March 2002
Revised: 09 April 2002
Accepted manuscript online:
PACS:
42.70.Qs
(Photonic bandgap materials)
Fund: Project supported in part by the National Natural Science Foundation of China (Grant No 90101024) and by the Science Foundation for Post Doctorate of China (Grant No 111000-x90107)
Cite this article:
Zhuang Fei (庄飞), Wu Liang (吴良), He Sai-Ling (何赛灵) A two-dimensional photonic crystal with six large bandgaps formed by a hexagonal lattice of anisotropic cylinders 2002 Chinese Physics 11 834
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