硅光子晶体结构参数对其带隙宽度影响分析

借助光子晶体的理论知识和平面波展开法理论方法,依托Matlab、Comsol等计算分析软件,分析了二维三角晶格硅光子晶体结构参数对带隙宽度的影响。就基元形状与旋转角度等结构参数调整对光子带隙宽度的影响进行模拟以及研究。结果发现,在一种固定晶格的光子晶体中,其他条件为定量时,基元形状所占的空间比例越大,光子带隙显现出的结构越好;基元面积固定时,其旋转角度的改变只和带隙宽窄有关,而对带隙的中心频率无影响,或者影响不大。

Based on the theoretical knowledge of photonic crystals and the theoretical method of plane wave expansion method,the influence of the structural parameters of two-dimensional triangular lattice silicon photonic crystals on the band gap width is analyzed by using Matlab,Comsol and other kinds of calculation and analysis software.The influence of structural parameters such as element shape and rotation angle on photonic band gap width is simulated and studied.The results show that in a fixed lattice photonic crystal,when other conditions are quantitative,the larger the proportion of space occupied by the primitive shape,the better the structure of the photonic band gap appears;when the element area is fixed,the change of its rotation angle is only related to the width of the bandgap,but has no or little effect on the center frequency of the band gap.