中国物理B ›› 2002, Vol. 11 ›› Issue (8): 834-838.doi: 10.1088/1009-1963/11/8/316

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A two-dimensional photonic crystal with six large bandgaps formed by a hexagonal lattice of anisotropic cylinders

吴良1, 何赛灵2, 庄飞3   

  1. (1)Center for Optical and Electromagnetic Research, State Key Laboratory for Modern Optical Instrumentation, Zhejiang University, Yu-Quan, Hangzhou 310027, China; (2)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; (3)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
  • 收稿日期:2002-03-27 修回日期:2002-04-09 出版日期:2002-08-12 发布日期:2005-06-12
  • 基金资助:
    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)

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    

  1. 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
  • Received:2002-03-27 Revised:2002-04-09 Online:2002-08-12 Published:2005-06-12
  • Supported by:
    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)

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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.

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.

Key words: complete bandgap, hexagonal structure, symmetry, stability

中图分类号:  (Photonic bandgap materials)

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