| 准周期结构一维光子晶体的多重分形特性 |
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| 引用本文： | 赵江南,张援农,黄盛达.准周期结构一维光子晶体的多重分形特性[J].武汉大学学报(理学版),2011,57(3):185-190. |
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| 作者姓名： | 赵江南 张援农 黄盛达 |
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| 作者单位： | 1. 武汉大学电子信息学院,湖北武汉,430072
2. 北京大学物理学院,北京,100871 |
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| 基金项目： | 国家自然科学基金资助项目(10904118) |
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| 摘 要： | 利用传输矩阵理论分析了Fibonacci准周期结构的光子晶体的带隙特性,并讨论了当介质层中含有负折射率介质时光子带隙的特性,分析了该准周期结构频谱的多重分形.研究结果表明,Fibonacci准周期结构的分层介质的光子带隙（PBG）特性,不论其为普通介质还是含负折射率介质,其透射谱具有相似性,且随阶数的增大其不均匀性增加.对广义Fibonacci准周期结构——GF（1,n）和GF（m,1）,其透射谱的不均匀性随n和m的增加而增大.
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| 关 键 词： | 光子带隙 准周期结构 传输矩阵 多重分形 |
The Multifractal Properties of the One-Dimensional Quasi-Period Photonic Crystal |
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| ZHAO Jiangnan,ZHANG Yuannong,HUANG Shengda.The Multifractal Properties of the One-Dimensional Quasi-Period Photonic Crystal[J].JOurnal of Wuhan University:Natural Science Edition,2011,57(3):185-190. |
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| Authors: | ZHAO Jiangnan ZHANG Yuannong HUANG Shengda |
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| Institution: | ZHAO Jiangnan1,ZHANG Yuannong1,HUANG Shengda2(1.School of Electronic Information,Wuhan University,Wuhan 430072,Hubei,China,2.School of Physics,Peking University,Beijing 100871,China) |
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| Abstract: | Using transfer-matrix method and multi-fractal theory,we have studied the transmission properties of the one-dimensional Fibonacci structures Fc(l) and the generalized Fibonacci structures GF(m,n),in which m,n different intervals are integer according to a substitution rule.By using a transfer-matrix method,the optical transmission through GF(1,n) and GF(m,1) is obtained.Multi-fractal analysis is employed to characterize the transmission spectra.The transmission spectra of Fibonacci structures have self-sim... |
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| Keywords: | photonic bandgap quasi-periodic structures transfer matrix multifractal analysis |
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