| 二维斜方晶格光子晶体的第一布里渊区分析 |
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| 引用本文： | 魏乃科,朱建华,马文英,姚军. 二维斜方晶格光子晶体的第一布里渊区分析[J]. 光散射学报, 2010, 22(1): 19-23 |
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| 作者姓名： | 魏乃科 朱建华 马文英 姚军 |
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| 作者单位： | 1. 四川大学物理科学与技术学院,成都,610064
2. 中国科学院光电技术研究所,成都,610209 |
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| 基金项目： | 国家自然科学基金(60678044,J0830308) |
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| 摘 要： | 二维斜方晶格光子晶体在光学聚焦器件及光子晶体波导中有重要的应用价值。对二维斜方晶格的第一布里渊区进行研究发现,保持斜方晶格基矢模长比R不变,改变倾斜角θ,第一布里渊区形状将在矩形和平行六边形间交替变化,所需的倒格矢也相应地变化,利用倒格矢正交临界条件可以对第一布里渊区的形状和所需的倒格矢进行划分。最后,利用平面波展开法对一种斜方晶格光子晶体进行带隙计算,验证了这种划分的正确性。
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| 关 键 词： | 光子晶体 斜方晶格 第一布里渊区 平面波展开法 |
| 收稿时间： | 2009-09-30 |
Analysis of the First Brillouin Zone of Two-Dimensional Orthorhombic Lattice Photonic Crystal |
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| WEI Nai-ke,ZHU Jian-hua,MA Wen-ying,YAO Jun. Analysis of the First Brillouin Zone of Two-Dimensional Orthorhombic Lattice Photonic Crystal[J]. Chinese Journal of Light Scattering, 2010, 22(1): 19-23 |
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| Authors: | WEI Nai-ke ZHU Jian-hua MA Wen-ying YAO Jun |
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| Affiliation: | 1.Department of Physics;Sichuan University;Chengdu 610064;China;2.Institute of Optics and Electronics;Chinese Academy of Sciences;Chengdu 610209;China |
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| Abstract: | Two-dimensional orthorhombic lattice photonic crystals(2DOLPC) have important applications in the area of light focusing device and photonic crystal waveguides.In this paper,the first Brillouin zone(FBZ) of 2DOLPC is analyzed in detail,it is found that the vector modulus length ratio(R) of basis vectors and the angle of inclination(θ) will affect the shape of FBZ.Maintaining a constant value of R,the shape of FBZ alternates between rectangle and hexagon with θ,and the reciprocal vectors comprising FBZ are changing.The shape and required reciprocal vectors of FBZ,R and θ of 2DOLPC can be decided by dividing regions with the critical condition of orthogonal reciprocal vectors.The above results are verified by using plane-wave expansion method to calculate the photonic band gap of a non-specialized 2DOLPC. |
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| Keywords: | photonic crystal orthorhombic lattice first Brillouin zone plane-wave expansion method |
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