| 精确的一维光子晶体的带隙 |
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| 引用本文： | 刘文楷,安艳伟,张常年,张存善.精确的一维光子晶体的带隙[J].光电工程,2006,33(7):127-130. |
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| 作者姓名： | 刘文楷 安艳伟 张常年 张存善 |
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| 作者单位： | 1. 北方工业大学,信息学院,北京,100041
2. 河北工业大学,信息学院,天津,300130 |
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| 基金项目： | 北京市教委科技发展计划项目 |
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| 摘 要： | 半导体材料的折射率是光频率的函数,所以在计算光子晶体的能带结构时必须考虑到色散关系。光子晶体存在光子禁带在反射谱上表现为高反射率带。本文已GaAs基材料为例,利用传输矩阵方法计算了考虑色散后的一维光子晶体的反射谱,计算结果表明考虑色散后的光子晶体禁带的宽度较不考虑色散关系的光子晶体的带隙要窄,如果光子晶体中存在缺陷则考虑色散后的光子晶体缺陷态的位置较不考虑色散关系时红移,且光子损耗较小。
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| 关 键 词： | 光子晶体 禁带 色散关系 |
| 文章编号： | 1003-501X(2006)07-0127-04 |
| 收稿时间： | 2005-09-20 |
| 修稿时间： | 2006-05-29 |
Accurate forbidden band of 1-D photonic crystal |
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| LIU Wen-kai,AN Yan-wei,ZHANG Chang-nian,ZHANG Cun-shan.Accurate forbidden band of 1-D photonic crystal[J].Opto-Electronic Engineering,2006,33(7):127-130. |
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| Authors: | LIU Wen-kai AN Yan-wei ZHANG Chang-nian ZHANG Cun-shan |
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| Affiliation: | 1. College of lnformation, North China University of Technology, Beijing 100041, China; 2. College of lnformation, Hebei University of Technology, Tianjin 300130, China |
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| Abstract: | Refraction index of semiconductor material is a function of optical frequency, called dispersion relation. Thus when one calculates the energy band of photonic crystal, the dispersion relation of material must be considered. In this paper, for example, the forbidden band of 1-D photonic crystal made up of GaAs/AlAs is calculated by transfer matrix method. It is shown that the forbidden band, of which the dispersion relation of the two materials is considered, is narrower than the other. The defect state will bring red shift if the dispersion relation of materials is considered. |
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| Keywords: | Photonic crystal Forbidden band Dispersion relation |
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