| 用平面波展开法计算二维方形光子晶体的带隙结构 |
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| 引用本文： | 寸焕尧,谭仁兵,王荣丽,柏晗,张茜,胡家光,张晋.用平面波展开法计算二维方形光子晶体的带隙结构[J].半导体学报,2006,27(13):64-67. |
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| 作者姓名： | 寸焕尧 谭仁兵 王荣丽 柏晗 张茜 胡家光 张晋 |
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| 作者单位： | 云南大学物理系，昆明 650091;云南大学物理系，昆明 650091;云南大学物理系，昆明 650091;云南大学物理系，昆明 650091;云南大学物理系，昆明 650091;云南大学物理系，昆明 650091;云南大学物理系，昆明 650091 |
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| 摘 要： | 用平面波展开法计算二维正方晶格光子晶体的带隙结构，对二维光子晶体的电磁波理论及周期介质中的Bloch波解进行了详细的推导，得出TE模和TM模下无缺陷时光子晶体的色散曲线，并设计了低频区域内具有较大带隙宽度的两种二维光子晶体的空间周期结构. 经过大量的计算，发现硅中的空气柱型光子晶体在红外波段TE模和TM模存在重叠的绝对光子带隙，并分别研究了空气中的硅介质柱和硅中的空气柱的TM模带隙宽度随空气柱半径和填充比变化的规律.
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| 关 键 词： | 二维光子晶体 正方格子 带隙结构 平面波展开法 |
Calculation of Band Gap Structures of 2D Square Lattice Photonic Crystals Using Plan Wave Expansion Method |
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| Cun Huanyao,Tan Renbing,Wang Rongli,Bai Han,Zhang Xi,Hu Jiaguang and Zhang Jin.Calculation of Band Gap Structures of 2D Square Lattice Photonic Crystals Using Plan Wave Expansion Method[J].Chinese Journal of Semiconductors,2006,27(13):64-67. |
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| Authors: | Cun Huanyao Tan Renbing Wang Rongli Bai Han Zhang Xi Hu Jiaguang and Zhang Jin |
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| Affiliation: | Department of Physics, Yunnan University, Kunming 650091, China;Department of Physics, Yunnan University, Kunming 650091, China;Department of Physics, Yunnan University, Kunming 650091, China;Department of Physics, Yunnan University, Kunming 650091, China;Department of Physics, Yunnan University, Kunming 650091, China;Department of Physics, Yunnan University, Kunming 650091, China;Department of Physics, Yunnan University, Kunming 650091, China |
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| Abstract: | The band gap structures of two-dimensional (2D) square lattice photonic crystals are calculated using the plan wave expansion method.It gives a detail deduction for the electromagnetic wave theory of 2D photonic crystals and Bloch wave solutions in stratified periodic dielectric.Both TE and TM modes are considered in photonic crystals with no defects consisted of dielectric air cylinders and dielectric columns in air background.We get different dispersion curves,and designed two kinds of 2D photonic crystal periodical structures with band gaps in low-frequency ranges.It is found that the periodic dielectric constructed from air cylinders in Si matrix can generate an absolute photonic band gap in the infrared range for both TE and TM modes.The dependences of air cylinders or silicon rods radius and filling factors in the two kinds of photonic crystals are also studied in TM mode. |
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| Keywords: | 2D photonic crystal square lattice band gap structure plan wave expansion method |
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