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中国物理学会期刊

基于平面波算法的二维声子晶体带结构的研究

CSTR: 32037.14.aps.52.668

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

CSTR: 32037.14.aps.52.668
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  • 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.

     

    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.

     

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