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A two—dimensional photonic crystal with six large bandgaps formed by a hexagonal lattice of anisotropic cylinders
引用本文:庄飞,吴良,何赛灵.A two—dimensional photonic crystal with six large bandgaps formed by a hexagonal lattice of anisotropic cylinders[J].中国物理 B,2002,11(8):834-838.
作者姓名:庄飞  吴良  何赛灵
作者单位:Center for Optical and Electromagnetic Research, State Key Laboratory for Modern Optical Instrumentation, Zhejiang University, Yu-Quan, Hangzhou 310027, China; Department of Physics, Hangzhou Teacher's College, Hangzhou 310012, China;Center for Optical and Electromagnetic Research, State Key Laboratory for Modern Optical Instrumentation, Zhejiang University, Yu-Quan, Hangzhou 310027, China;Center for Optical and Electromagnetic Research, State Key Laboratory for Modern Optical Instrumentation, Zhejiang University, Yu-Quan, Hangzhou 310027, China; Department of Electromagnetic Theory, Royal Institute of Technology, S-100 44 Stockholm, Sweden
基金项目: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)
摘    要: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 (R12). 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 ωe (where ωe=\frac{2πc}{a}) in the high region of the normalized frequency (however, one of these over 0.065 ωe is not stable). There are two other stable complete bandgaps in the low-frequency region.

关 键 词:晶体光学  带间隙  六角形晶格
收稿时间:2002-03-27
修稿时间:4/9/2002 12:00:00 AM

A two-dimensional photonic crystal with six large bandgaps formed by a hexagonal lattice of anisotropic cylinders
Zhuang Fei,Wu Liang and He Sai-Ling.A two-dimensional photonic crystal with six large bandgaps formed by a hexagonal lattice of anisotropic cylinders[J].Chinese Physics B,2002,11(8):834-838.
Authors:Zhuang Fei  Wu Liang and He Sai-Ling
Institution:Center for Optical and Electromagnetic Research, State Key Laboratory for Modern Optical Instrumentation, Zhejiang University, Yu-Quan, Hangzhou 310027, China; Department of Electromagnetic Theory, Royal Institute of Technology, S-100 44 Stockholm, Sweden; 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 (R12). 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 ωe (where ωe=\frac{2πc}{a}) in the high region of the normalized frequency (however, one of these over 0.065 ωe is not stable). There are two other stable complete bandgaps in the low-frequency region.
Keywords:complete bandgap  hexagonal structure  symmetry  stability
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