二维正方点阵液态声子晶体的带隙计算
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Band Gap Calculation for Two-dimensional LiquidPhononic Crystals with Square Lattices
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    摘要:

    介绍了计算二维正方点阵液态声子晶体带隙的PWM法。在四氯化碳/水银复合体系中发现了完全带隙,当四氯化碳填充分数为约22%时带隙宽度达到最大值。研究了三种不同截面形状的填充物,其中,圆形截面填充物体系比方形截面及其45°旋转的体系更有利于产生宽带隙。对圆形截面填充物体系,当填充分数为f=0.229时有最宽带隙ΔΩ=0.5497。将填充物和基体交换,即水银/四氯化化碳复合体系中,所得到的带隙宽度显著减小。

    Abstract:

    PWM is introduced to calculate the phononic band gaps for two dimensional liquid phononic crystals with square lattices. Complete phononic band gaps are found in the carbon tetrachloride/mercury composite system, and all these band gaps reach the widest point for a filling fraction of ~22%. Among the three different shapes of the inclusions' section studied, the circular section is easier to attain large band gaps than the square section and obliquely rotated square one. The widest band gap ΔΩ=0.5497 appears in the circular section system when the filling fraction f=0.229. If the substances of the inclusions and matrix are interchanged (i.e., mercury/carbon tetrachloride system), the gaps obtained are much narrower.

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齐共金,杨盛良,白书欣,等.二维正方点阵液态声子晶体的带隙计算[J].国防科技大学学报,2003,25(1):103-106.
QI Gongjin, YANG Shengliang, BAI Shuxin, et al. Band Gap Calculation for Two-dimensional LiquidPhononic Crystals with Square Lattices[J]. Journal of National University of Defense Technology,2003,25(1):103-106.

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  • 收稿日期:2002-07-22
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  • 在线发布日期: 2013-06-14
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