二维复式格子声子晶体带隙结构特性

借助于平面波展开法分析了二维复式格子声子晶体能带结构，计算了铝合金柱体按周期性结构排列在空气中形成的二维固/气复合体系的声子晶体，给出了复式蜂窝格子和复式Kagome格子的能带结构，进而对比分析了复式格子和简单格子的能带结构特性.结果表明，与简单格子相比，复式格子的带隙出现在频率相对较低的位置；在f=0.091—0.6046范围内，将声子晶体排列为复式格子要优于简单格子，可以得到更宽带隙.此外，引入了带隙分布图，讨论了填充系数f对带隙数目、带隙宽度以及带隙上下边界频率的影响. 关键词： 声子晶体 复式格子 带隙 平面波算法

Characteristics of the band structure in two-dimensional phononic crystals with complex lattices

The band structure of two-dimensional phononic crystals with complex lattices is analyzed using the plane-wave algorithm in this paper. Phononic crystals composed of two-dimensional arrays of periodic aluminium alloy cylinders in air are calculated. Band structures of two types of complex lattices, the honeycomb and the Kagome lattices, are presented. The band structures of complex lattices and simple lattices are compared. It is concluded that compared with simple lattices, the band-gap of complex lattices are located at lower frequency fields. When the filling fraction is between 0.091 and 0.6046, the complex lattices have larger band gaps and gain an advantage over simple lattices. In addition, the gap map is introduced to illustrate the influences of the filling fraction on the number, the width and the limit frequency of the band-gap.