二维声子晶体的对称性对声学带隙的影响

无机材料学报

二维声子晶体的对称性对声学带隙的影响

钟兰花^1,2, 吴福根^1,2, 李小玲², 钟会林¹, 钟韶²

1. 广东工业大学实验中心, 广州 510090; 2. 广东工业大学应用物理系, 广州 510090

收稿日期:2004-11-15 修回日期:2005-01-11 出版日期:2006-01-20 网络出版日期:2006-01-20

Effect of Symmetry on Sonic Band-gap in Two-dimensional Phononic Crystals

ZHONG Lan-Hua^1,2, WU Fu-Gen^1,2iao-Ling² ZHONG Hui-Lin¹ ZHONG Shao²

1. Experiment Center, Guangdong University of Technology, Guangzhou 510090, China; 2. Department of Applied
Physics, Guangdong University of Technology, Guangzhou 510090, China

Received:2004-11-15 Revised:2005-01-11 Published:2006-01-20 Online:2006-01-20

摘要/Abstract

摘要： 用平面波展开方法计算了正三、四、六、八棱柱体及圆柱体按正方点?阵排列的二维水-水银声子晶体的声学带隙结构. 首先研究了非圆柱体的旋转?对带隙的影响, 发现在给定的柱体和(较低的)填充率下带隙宽度的最大值和最?小值均出现在晶体结构对称性最高时. 通过调节柱体的方位, 找出各填充率下?的最宽带隙, 结果表明: 在水/水银系统中, 带隙宽度随柱体对称性的提高而增?大; 在水银/水系统中, 除正四棱柱晶体带隙最宽以外, 情况正好相反.

关键词: 人工晶体, 声子晶体, 对称性, 带隙

Abstract: Using the plane-wave expansion method, we calculated the sonic band structures of two-dimensional water-mercury phononic crystals of regular triangle, quadrilateral, hexagon, octagon
prisms and cylinders arrayed in square lattice respectively. Our study concerns the dependence of band gaps on rotation angle of the noncircular
rods. And we found that, for each rod and (relatively small) filling fraction, both the maximum and minimum of band gap present in the case
of the crystals’ highest symmetry. By adjusting the rods’ orientation, the maximum of band gap for each filling fraction can be obtained and,
results show that for water/mercury system the width of band-gap increases with the heightening of rods’ symmetry, while for mercury/water system the
exact opposite is true except for the case of square rods, which produces the largest band-gaps.

Key words: artificial crystal, phononic crystals, symmetry, band gap

中图分类号:

钟兰花,吴福根,李小玲,钟会林,钟韶. 二维声子晶体的对称性对声学带隙的影响[J]. 无机材料学报.

ZHONG Lan-Hua,WU Fu-Geniao-Ling ZHONG Hui-Lin ZHONG Shao. Effect of Symmetry on Sonic Band-gap in Two-dimensional Phononic Crystals[J]. Journal of Inorganic Materials.

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