基于平面波算法的二维声子晶体带结构的研究

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

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 2 2 9时 ,有最大值ΔΩ =0 5 4 9;水银 四氯化碳体系的带隙宽度一直增大 ,当f=0 5 5 4时 ,有最大值ΔΩ =0 5 15 ;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 .

In this paper, the calculating course of the plane-wave algorithm is introduced to 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 DeltaOmega(max) = 0.549. While the width of the band-gap in mercury/CCl4 system increases consistently with the filling fraction, when f = 0.554, DeltaOmega(max) = 0.515. Under the same filling fraction, the variation of the cylinder diameter and lattice constant does not affect the band-gap width DeltaOmega.