三维光子晶体典型结构完全禁带的最佳参数理论分析

基于平面波展开法，理论分析了晶格结构、填充率、介电常数比等因素对fcc，diamond，woodpile三种三维光子晶体典型结构完全禁带的影响.三种结构中，fcc结构由于高对称性导致的能级简并，只适用于密堆积排列的反蛋白石结构；diamond结构非常容易产生高带隙率的完全禁带，并且可以通过调节多项参数得到所需的完全禁带；woodpile结构参数调节范围比较宽，为实验制备带来方便.对于不同的三维光子晶体结构，随着介电常数比的增大，完全禁带的宽度和带隙率也会随着增大.还发现了一些以前未引起注意的现象. 关键词： 三维光子晶体 完全禁带 介电常数比 带隙率 平面波展开法

Theoretical analysis of optimum parameters for complete forbidden bands of three-dimensional photonic crystals with typical lattice structures

Based on plane wave expansion method, the influence of factors such as lattice structure, dielectric constant ratio and filling ratio on three-dimensional photonic crystals with fcc, diamond and woodpile structures is studied. Of these structures, the fcc structure, owing to its high symmetry, is only fit for close-packed lattice prepared by inverted-opal method. The diamond structure easily generates good complete band gaps with high band gap ratio, and also the complete forbidden band that is needed can be obtained by adjusting some parameters in the experiment. The woodpile structure can produce big band gaps in a wider parameter range than the other two structures, which offers convenience for preparing three-dimensional photonic crystals in the laboratory, For all three kinds of three-dimensional photonic crystal structures, their band gap width and band gap ratio can be improved with the increase of dielectric constant ratio. In this paper, some interesting phenomena not noticed in the former papers are also presented.