斜入射时二维空气孔结构三角形光子晶体的带隙结构

周利斌;忽满利;张 凯;陈 幸

doi:10.3981/j.issn.1000-7857.2011.07.007

科技导报 >

2011 , Vol. 29 >Issue 11-07: 46 - 49

DOI: https://doi.org/10.3981/j.issn.1000-7857.2011.07.007

研究论文

斜入射时二维空气孔结构三角形光子晶体的带隙结构

周利斌;忽满利;张凯;陈幸

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1. 陕西科技大学理学院，西安 7100212. 西北大学物理学系，西安 7100693. 西安工业大学数理系，西安 710032

收稿日期: 2010-04-01

修回日期: 2011-01-27

网络出版日期: 2011-03-08

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Band Structure of 2D Air-hole-type Triangular Photonic Crystal with Oblique Incidence

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Received date: 2010-04-01

Revised date: 2011-01-27

Online published: 2011-03-08

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摘要

利用平面波展开法推导出光在光子晶体中传播时本征方程的矩阵表达形式，数值求解计算了圆形空气孔结构的正方形光子晶体和三角形结构光子晶体在正入射时的色散曲线及三角形结构光子晶体在斜入射时的色散曲线。这些研究结果对设计和制作光子晶体功能器件具有指导意义和应用价值。计算分析发现，与正方形结构光子晶体类似，对于二维三角形结构光子晶体，正入射时E波和H波在<10>方向和<11>方向也都会出现带隙，但是带隙宽度比对应的正方形结构的宽许多。二维三角形结构光子晶体在斜入射时，三角形结构光子晶体的色散曲线随着入射角的增大而上升，带隙中心频率也随之增大，但带隙的宽度却随之减小，直至消失。本文研究了斜入射情况下三角形光子晶体的带隙结构和色散特性，所得结论对设计和制作光子晶体功能器件有重要的指导意义和应用价值。

关键词： 光子晶体; 能带结构; 平面波展开法; 空气孔型结构

本文引用格式

周利斌;忽满利;张凯;陈幸 . 斜入射时二维空气孔结构三角形光子晶体的带隙结构[J]. 科技导报, 2011 , 29(11-07) : 46 -49 . DOI: 10.3981/j.issn.1000-7857.2011.07.007

Abstract

The eigenmatrix of the light propagation in photonic crystal are deduced by the plane-wave expansion method. The dispersion curves of two dimensional square lattice and triangle lattice photonic crystals composed of circular air cylinders are calculated by numerical calculation, respectively for vertical incidence. And the dispersion curves of triangle lattice photonic crystals also are calculated for oblique incidence. Based on the calculation and analysis, it is indicated that the band gaps of E wave and H wave of two dimensional triangle lattice in <10> direction and <11> direction for vertical incidence all appear, and they are wider than that of square lattice; the dispersion curves of two-dimensional triangular photonic crystal in the oblique incidence are moved upward with the angle of incidence increasing, and band gap center frequency also increased, however the band gap width has been reduced accordingly until it disappeared. These studied results are significant for making photonic crystal elements and putting them into applications.

Key words： photonic crystal; band structure; plane-wave expansion method; air-hole-type

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