光子学报, 2006, 35 (5): 0724, 网络出版: 2010-06-03
二维Kagome格子光子晶体禁带的数值模拟
Numerical Simulation of the Photonic Bandgap of Two-dimensional Photonic Crystals with Kagome Lattice
光子晶体 光子禁带 平面波展开法 Kagome格子 Photonic crystals Photonic bandgap Plane wave expansion method Kagome lattice
摘要
采用平面波展开法模拟计算了由空气背景中的介质柱构成的二维Kagome格子光子晶体的能带结构,得到了使完全光子禁带最大化的结构参量.计算结果表明:由圆形、正六边形和正四边形三种不同形状锗介质柱构成的Kagome格子光子晶体都出现了完全光子禁带,最大禁带分别为△=0.014(ωa/2πc)、△=0.013(ωa/2πc)、△=0.011(ωa/2πc).发现由圆形和正六边形两种介质柱构成的Kagome格子光子晶体在填充比连续变化的较大的范围内都有宽度较为稳定的完全禁带,且它们具有非常相似的能带结构.
Abstract
Plane wave expansion method was employed to simulate the bandgap of 2-D photonic crystals with Kagome lattice. The optimum structural parameters of photonic crystals with the largest complete bandgap were obtained. Complete bandgaps were obtained when the germanium columns were in the shape of circular,hexagonal and square,respectively. It is showed that the complete bandgaps can be attained steadily as the filling fraction is changed in a wide range for circular and hexagonal columns,and their band structures are similar.
杨毅彪, 王云才, 李秀杰, 梁伟. 二维Kagome格子光子晶体禁带的数值模拟[J]. 光子学报, 2006, 35(5): 0724. Yang Yibiao, Wang Yuncai, Li Xiujie, Liang Wei. Numerical Simulation of the Photonic Bandgap of Two-dimensional Photonic Crystals with Kagome Lattice[J]. ACTA PHOTONICA SINICA, 2006, 35(5): 0724.