二维介质柱正方复合周期结构光子晶体的禁带研究

J4 ›› 2012, Vol. 29 ›› Issue (6): 735-740.

二维介质柱正方复合周期结构光子晶体的禁带研究

濮荣强¹,余红英¹,沈林放²

1芜湖信息技术职业学院电子信息系，安徽芜湖 241000；
2 浙江大学信息与电子工程系，浙江杭州 310027

收稿日期:2011-11-10 修回日期:2012-01-06 出版日期:2012-11-28 发布日期:2014-03-20
通讯作者: 濮荣强（1962—）安徽马鞍山市人，硕士，副教授，研究方向为通信信息系统。 E-mail:ratchet2000@qq.com
基金资助:
安徽省教育厅《电子技术应用型人才培养模式创新实验区》( 0942 )资助项目

Band gaps in two-dimensional photonic crystals with composite square-lattices of dielectric columns

Pu Rongqiang¹, Yu Hongying¹，Shen Linfang²

1 Department of Electronic Information， Wuhu Vocational College of Information Technology, Wuhu 241000， China；
2 Department of Information Science and Electronic Engineering, Electromagnetic Academy, Zhejiang University, Hangzhou 310027， China

Received:2011-11-10 Revised:2012-01-06 Published:2012-11-28 Online:2014-03-20

摘要/Abstract

摘要：

一种介质柱在空气中复合周期排列的二维光子晶体新结构被提出和研究，该结构是二套不同尺寸的介质柱的正方周期排列的叠加所构成。针对这种光子晶体，我们对Maxwell方程做出了严格的Fourier变换，从而建立了快速的平面波展开算法。应用所建立的快速理论算法，我们详细地数值分析了这种光子晶体的能带结构及相关禁带，结果表明，与介质柱的简单正方周期结构相比，复合周期结构由于降低了结构的对称性，它的绝对禁带得到了显著的增大。

关键词: 光纤与波导光学, 光子禁带, 平面波展开法, 光子晶体

Abstract:

A two-dimensional photonic crystal consisting of two square arrays of square dielectric columns with different sizes in air is proposed and investigated theoretically. For the proposed structure, Maxwell’s equations are Fourier transformed rigorously, and a plane-wave expansion method with fast convergence is then formulated. With this method, the band structure of the photonic crystal is numerically analyzed carefully. It is shown that compared with the related structure with a single square lattice, the absolute band gap of the proposed structure is remarkably increased after optimizing the geometric parameters, owing to the decrease of the structural symmetries.

Key words: fiber and waveguide optics, photonic band gap, plane-wave expansion method, photonic crystal

中图分类号:

TN256

濮荣强余红英沈林放. 二维介质柱正方复合周期结构光子晶体的禁带研究[J]. J4, 2012, 29(6): 735-740.

Pu Rongqiang, Yu Hongying，Shen Linfang. Band gaps in two-dimensional photonic crystals with composite square-lattices of dielectric columns[J]. J4, 2012, 29(6): 735-740.

参考文献

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