| 基于二维光子晶体带隙的研究 |
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| 引用本文： | 卢辉东,吕冬妮,张瑞,沈宏君.基于二维光子晶体带隙的研究[J].宁夏师范学院学报,2012,33(3):50-55. |
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| 作者姓名： | 卢辉东 吕冬妮 张瑞 沈宏君 |
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| 作者单位： | 宁夏大学物理电气信息学院,宁夏银川,750021 |
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| 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.
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| 关 键 词： | 光子晶体 平面波展开法 完全带隙 |
Research on the Band Gap of Two-dimensional Photonic Crystal |
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| LU Huidong,LV Dongni,ZHANG Rui,SHEN Hongjun.Research on the Band Gap of Two-dimensional Photonic Crystal[J].Journal of Ningxia Teachers College,2012,33(3):50-55. |
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| Authors: | LU Huidong LV Dongni ZHANG Rui SHEN Hongjun |
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| Institution: | (School of Physics and Electrical Information,Ningxia University,Yinchuan,Ningxia 750021) |
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| Abstract: | 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 Δ Gmax equals 0.017(ωa /2πc),and the normalization frequency range is between 0.448 to 0.456(ωa /2πc).For the triangle lattice,the biggest width of completely band gap is 0.08(ωa /2πc),and its normalization frequency range Δ ω is between 0.455 to 0.531(ωa/2πc).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. |
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| Keywords: | Photonie crystal Plane wave expansion method Complete band gap |
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