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| 二维光子晶体点群对称对不可约布里渊区的影响 | |
| 引用本文： | 许振龙,吴福根,郭钟宁.二维光子晶体点群对称对不可约布里渊区的影响[J].光学学报,2012,32(7):726002-262. |
| 作者姓名： | 许振龙 吴福根 郭钟宁 |
| 作者单位： | 许振龙:广东工业大学机电工程学院, 广东 广州 510006湄洲湾职业技术学院, 福建 莆田 351254 吴福根:广东工业大学实验教学部, 广东 广州 510006 郭钟宁:广东工业大学机电工程学院, 广东 广州 510006 |
| 基金项目： | 国家自然科学基金(10674032)和广东省自然科学基金(6021480)资助课题。 |
| 摘 要： | 采用平面波展开法,研究了二维光子晶体点群对称对不可约布里渊区的影响。在单柱体二维光子晶体单胞中增加一个柱体,设计成不同点群对称操作数的对称结构,计算了最低5条能带的本征频率值在第一布里渊区的分布图。结果表明:在计算二维光子晶体的能带结构时,如果光子晶体的点群对称操作数为n,所取的不可约布里渊区应为整个第一布里渊区的1/n。 |
| 关 键 词： | 物理光学 不可约布里渊区 平面波展开法 光子晶体 点群对称 |
| 收稿时间： | 2012/1/11 |
Effects of Point Group Symmetry on Irreducible Brillouin Zone in Two-Dimensional Photonic Crystals |
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| Xu Zhenlong,Wu Fugen,Guo Zhongning.Effects of Point Group Symmetry on Irreducible Brillouin Zone in Two-Dimensional Photonic Crystals[J].Acta Optica Sinica,2012,32(7):726002-262. | |
| Authors: | Xu Zhenlong Wu Fugen Guo Zhongning |
| Institution: | 1 Faculty of Electro Mechanical Engineering,Guangdong University of Technology,Guangzhou,Guangdong 510006,China 2 Meizhouwan Vocational Technology College,Putian,Fujian351254,China 3 Department of Experiment Education,Guangdong University of Technology,Guangzhou,Guangdong 510006,China |
| Abstract: | By using the plane-wave expansion method, the effect of point group symmetry on irreducible Brillouin zone in two-dimensional photonic crystals is studied. Additional cylinder in unit cell of single-cylinder two-dimensiional photonic crystal is designed as symmetrical structures with different operation numbers of symmetry, eigen-frequencies of the five lowest energy bands in the Brillouin zone are calculated. The results show that in the calculation of two-dimensional photonic crystal band structure, if the photonic crystal point group symmetry operation number is n, the irreducible Brillouin zone should be 1/n of the whole first Brillouin zone. |
| Keywords: | physical optics irreducible Brillouin zone plane-wave expansion method photonic crystals point group symmetry |
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