| 一维光子晶体非线性色散特性的分析 |
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| 引用本文： | 黄晓琴,崔一平.一维光子晶体非线性色散特性的分析[J].光子学报,2005,34(3):473-476. |
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| 作者姓名： | 黄晓琴 崔一平 |
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| 作者单位： | 1. 东南大学电子工程系光电子技术研究室,南京,210096;南京师范大学物理科学与技术学院,南京,210097
2. 东南大学电子工程系光电子技术研究室,南京,210096 |
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| 摘 要： | 从无限周期一维光子晶体的色散关系和有限周期光子晶体的透射系数两个方面，对有限和无限周期光子晶体有效折射率的实部和虚部特性曲线分别进行了计算和分析.结果表明一维光子晶体的色散曲线与弹性电偶极子的经典色散曲线类似，在光子晶体的导带为正常色散，而在禁带呈现反常色散.并且用简约布里渊和扩展布里渊区色散曲线对文献报道中存在的两种矛盾的计算结果进行了理论的探讨.解释了导致对一维光子晶体有效折射率计算存在两种不同结果的原因.
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| 关 键 词： | 光子晶体 有效折射率 色散 布里渊区 |
| 收稿时间： | 2004-01-05 |
| 修稿时间： | 2004年1月5日 |
Analysis of Nonlinear Dispersive Properties of one Dimensional Photonic Crystals |
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| Huang Xiaoqin,Cui Yiping.Analysis of Nonlinear Dispersive Properties of one Dimensional Photonic Crystals[J].Acta Photonica Sinica,2005,34(3):473-476. |
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| Authors: | Huang Xiaoqin Cui Yiping |
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| Institution: | 1 Department of Electronic Engeineering, Southeast University, Nanjing 210096;2 Department of Physics, Nanjing Normal University, Nanjing 210097 |
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| Abstract: | The characteristic curves of effective refractive index of infinite and finite photonic crystal are calculated and analyzed by using the dispersive relation and transmission coefficients respectively. The results show the dispersive curve of one-dimensional photonic crystals have the normal dispersion in the transmitted bands and abnormal dispersion in the band gaps which is similar with that of elastic electronic dipolar. Based upon our calculations, the explanation of some contradictive places or the difference in the relative literatures is given out. |
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| Keywords: | Photonic crystals Effective refractive index Dispersive Brillouin zones |
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