空气环型二维光子晶体完全带隙特性研究

采用平面波展开法, 系统研究了空气环型二维光子晶体的完全光子带隙随结构参数变化而改变的规律, 并将其与普通的空气孔型和介质柱型二维光子晶体的完全带隙进行了比较. 研究表明: 空气环型二维光子晶体不仅可以获得更宽的完全带隙, 而且, 当介质折射率较低时, 其可以获得普通空气孔型和介质柱型二维光子晶体在低折射率条件下所无法获得的完全带隙. 关键词： 空气环型二维光子晶体 完全带隙 平面波展开法

Study on complete photonic band gaps of two-dimensional air annular photonic crystals

Plane wave expansion method was employed to study the complete photonic band gap (PBG) of two-dimensional air annular photonic crystals (PCs). Comparison of the complete PBG of the air annular photonic crystal and the commonly used PCs (square-and triangular-lattice dielectric rods in air and square-and triangular-lattice air holes in dielectric background) reveals that a larger complete PBG can be obtained for the air annular PCs. Furthermore, the complete PBG is observed for the air annular PCs even if the dielectric contrast is low, while it is difficult to achieve a complete PBG for the commonly used PCs. For example, for the square and triangular lattice air-hole PCs, the complete PBG is observed when the refractive index of the dielectric materials is arger than 2.8 and 3.2, respectively. But the complete PBG can be observed when the refractive index is arger than 2 for the air annular PCs.
Keywords： two-dimensional air annular photonic crystal complete photonic band gap plane wave expansion method