基于平面波算法的二维声子晶体带结构的研究

介绍了平面波算法计算声子晶体带结构的分析过程，计算了二维双组分液相体系声子晶体的带结构.结果表明，四氯化碳/水银体系比水银/四氯化碳体系更容易产生带隙.随分散相填充分数f的增加，四氯化碳/水银体系声子晶体带隙宽度ΔΩ先增加，后减小，当f=0229时，有最大值ΔΩ=0549；水银/四氯化碳体系的带隙宽度一直增大，当f=0554时，有最大值ΔΩ=0515；f一定时，改变分散相单元的几何尺寸和点阵常数，带隙宽度ΔΩ保持不变. 关键词： 声子晶体 声子带隙 平面波算法 带结构

A study of the band structure in two-dimensional phononic crystals based on plane-wave algorithm

In this paper, the calculating course of the plane-wave algorithm is introducedto solve the sound wave equation and the band structure of phononic crystals. The phononic crystals of two-dimensional binary liquid systems are studied. In conclusion, the CCl4/mercury system is easier to obtain the band-gap than the mercury/CCl4 system. With the increase of the filling fraction(f), the width of the band-gap becomes wider and then narrower. The widest band-gap of CCl4/mercury system appears at f=0229,where ΔΩmax=0549.While the width of the band-gap in mercury/CCl4 system increases consistently with the filling fraction, when f=0.554,ΔΩmax=0515.Under the same filling fraction, the variation of the cylinder diameter and lattice constant does not affect the band-gap width ΔΩ.