半径位置微扰对于不同光子晶体波导结构的影响

本文理论上分析了不同程度的位置半径微扰分别对于二维三角晶格不同空气孔形状的光子晶体波导结构透射率性能的影响。主要关注三个区域，低频带隙边缘，高频带隙边缘以及导模交叉点；三种空气孔形状，圆形，方形，椭圆形。仿真结果显示微扰对于交叉点影响最为严重。随着微扰程度变大，高低频边缘平坦的透射率区域逐渐变窄。相同形状相同微扰程度下，透射率对位置微扰更加敏感。不同形状比较发现，慢光区域正方空气孔对于位置微扰更稳健，圆形空气孔对于半径微扰更稳健。这对于光子晶体制作和实验过程中不可避免的位置和半径的随机微扰具有理论指导意义。

The effects of radius and position disorders on two-dimensional photonic crystal waveguides with different shapes of air-holes

We numerically investigate the impact of positional and radial disorders on the transmission spectrum of photonic crystal waveguides (PCW) with different shapes of air-holes, including circular, square and elliptic. The disorder affects greatest the anti-crossing point and the flat transmission spectrum becomes narrower as disorder increases. The transmission property performs more sensitive on the air-holes positions than radii. The square air-holes are more robust against the positional disorder and the circular air-holes are more robust again the radial disorder. These disorders’ results provide important theoretical instructions on the imperfection during the manufacture possess in the PCWs experiment.