中文摘要：

采用基于超元胞的平面波展开法，计算了由水银（水）正四棱柱体按正方格子排列于水（水银）基体中所组成的两种声子晶体的能带结构，通过改变两相邻的柱体底面边长之比来改变声子晶体的平移群对称性。结果发现，改变相邻柱体的底面边长之比，具有很好的调节声学带隙的作用。研究表明，声子晶体的平移群对称性对于其带隙的形成具有重要影响，同时还表明，超元胞方法也是研究声子晶体平移群对称性影响声子带隙形成的一种有效方法。

英文摘要：

The band structure of two kinds of phononic crystals （the square lattice of mercury （water） rods in a water （mercury） host） has been calculated using the plane-wave expansion method based on super cell. The translation group symmetry of phononic crystal is changed by changing the size of adjacent rods. We found that by changing the lengths of sides of adjacent rods one can effectively adjust the phononic band gaps. The present work shows that the translation group symmetry of phononic crystal has an important influence on the formation of its band gaps, and the method based on super cell is an effective method of studying the influence of translation group symmetry of phononic crystal on the formation of phononic band gaps.