基于二维光子晶体带隙的研究  

Research on the Band Gap of Two-dimensional Photonic Crystal

作　　者：卢辉东[1] 吕冬妮[1] 张瑞[1] 沈宏君[1] 

机构地区：[1]宁夏大学物理电气信息学院,宁夏银川750021

出　　处：《宁夏师范学院学报》2012年第3期50-55,共6页Journal of Ningxia Normal University

摘　　要：应用平面波展开法对二维光子晶体分别在E偏振和H偏振下的带隙进行仿真计算,寻找到空气圆柱在背景基质硅中排列的四方和三角晶格光子晶体出现最大带隙时的孔隙率r/a=0.48,并算出它们的最大带隙宽度.对于四方晶格,最大完全带隙宽度ΔGmax=0.017(ωa/2πc),归一化频率(ωa/2πc)范围在Δω=(0.448-0.456),对于三角晶格,最大完全带隙宽度可达ΔGmax=0.076(ωa/2πc),归一化频率(ωa/2πc)范围在Δω=(0.455-0.531).研究结果对在实验上制作空气圆柱在背景基质硅中排列的四方和三角晶格光子晶体提供理论指导.By applying the plane wave expansion method into the simulation calculation of the two dimensional photonic crystal band respectively in E polarization and H polarization, We find out that the square lattice and triangle lattice photonic crystal porosity r/a of the air cylinder in the background of the silicon substrate when the band gap is the largest equals 0.48. At the same time, We also work out the width of their biggest band gap. For square lattice, the biggest width of completely band gap △ Gmax equals 0.017 （wa/2 πc）, arid the normalization frequency range is between 0. 448 to 0. 456 （wa/2 πc）. For the triangle lattice, the biggest width of completely band gap is 0.08 （wa/2 πc） , and its normalization frequency range △ to is between 0. 455 to 0. 531 （wa/2 πc）. The results of this study provide theoretical guidance for making square and triangle photonic crystal lattice of the air cylinder in the background of the silicon substrate.

关 键 词：光子晶体 平面波展开法 完全带隙 

分 类 号：O431.1[机械工程—光学工程]