椭球三维液态声子晶体完全声波禁带研究

弹性波在声子晶体中传播时，会产生一定的频率禁带，声和振动在禁带中被禁止传播。本文将椭球散射体引入三维声子晶体中，采用平面波展开法计算了该系统的声波禁带结构。对于不同椭球半径的系统，其声波禁带的位置与大小有很大不同。结果表明：当晶格常数和填充率确定时，禁带受到椭球半径的影响；当确定椭球体的某一个半径和填充率时，第一禁带的最大值出现在另2个半径相等的情况下。

Complete acoustic band gaps for cuboid arrays of liquid ellipsoids

The acoustic band gap structure for cuboid array system made of water ellipsoids surrounded by a mercury host is investigated by the plane wave expansion method. Multiple, complete acoustic band gaps are found for different ellipsoid radii. The characteristics of band gaps yielded in ellipsoid system and sphere system are different in such as amount and width. When the lattice constants and the filling fraction are fixed, the band gaps are primarily influenced by the radii of the ellipsoid. For a certain radius and filling fraction, the width of the first band gap is the largest when the other radii are equal.