磁回旋材料柱结构光子晶体平板的单向边界模式

J4 ›› 2013, Vol. 30 ›› Issue (2): 213-218.

磁回旋材料柱结构光子晶体平板的单向边界模式

濮荣强1，余红英1，刘珂鑫2

1 芜湖信息技术职业学院电子信息系，安徽芜湖 241000; 2 浙江大学光电与电磁波研究中心，浙江杭州 310058

收稿日期:2012-11-06 修回日期:2012-11-22 出版日期:2013-03-28 发布日期:2013-03-14
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@126.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》资助项目 ( 0942)

Unidirectional edge mode of photonic crystal slab formed by gyromagnetic material columns

PU Rong-qiang1, YU Hong-ying1, LIU Ke-xin2

1 Wuhu Vocational College of Information Technology, Anhui Province, Wuhu 241000， China; 2 Centre for Optical and Electromagnetic Research, Zhejiang University, Hangzhou 310058， China

Received:2012-11-06 Revised:2012-11-22 Published:2013-03-28 Online:2013-03-14

摘要/Abstract

摘要： 研究了在外加恒定磁场下，旋磁材料柱按蜂窝状晶格排列的光子晶体平板的边界所支持的电磁表面波模式。研究首先表明，在光子晶体平板的光子能带结构中，最低二条能量曲线原有的简并点，可以用外加磁场来解除，从而在这二个能带之间形成一个禁带。进一步的研究表明，基于这个光子禁带，光子晶体板平板边界所支持的表面波模式只能单方向传播，归因于系统的时间反演对称性被外磁场所破坏。这个三维系统中的单向边界模式，在平板的法向方向上，是依赖于等效全反射效应而被约束的。

关键词: 光纤与波导光学, 单向波传播, 有限元方法, 旋磁材料

Abstract: The modes of electromagnetic surface waves sustained by the edge of a photonic crystal slab consisting of a honeycomb array of gyromagnetic material columns are investigated when an external dc magnetic field is applied to it. It is first demonstrated that in the photonic band structure for this photonic crystal slab, the original degeneracy point of the lowest two (photonic) energy curves can be lifted by applying an external magnetic field, thus forming a band gap between the two bands. Furthermore, it is demonstrated that based on this sort of band gap, surface mode sustained by the edge of the photonic crystal slab can propagate only in one direction, attributing to the time-reversal symmetry of the system broken by the external magnetic field. With the effective total internal reflection effect, the unidirectional edge mode in this three-dimensional system is confined in the direction normal to the photonic crystal slab.

Key words: fiber and waveguide optics, one-way wave propagation, finite element method, gyromagnetic material

中图分类号:

O431.2

濮荣强1，余红英1，刘珂鑫2. 磁回旋材料柱结构光子晶体平板的单向边界模式[J]. J4, 2013, 30(2): 213-218.

PU Rong-qiang1, YU Hong-ying1, LIU Ke-xin2. Unidirectional edge mode of photonic crystal slab formed by gyromagnetic material columns[J]. J4, 2013, 30(2): 213-218.

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