一维声子晶体中声波传播的理论分析

The Theoretical Studies of Acoustic Wave Propagation in One-Dimensional Phononic Crystal

声子晶体是近10年来提出的一类具有周期性结构的人工声学材料。应用广义传输矩阵法(GT-MM),建立了声波传播特性的理论分析模型,得到了其声波场的平面波解,给出了数值实现方案。研究表明,该方法可精确地模拟弹性波通过一维有限厚的周期结构、准周期结构以及完全无序结构的传播特性。

Phononic crystals are periodically configuration artificial acoustic materials appeared ten years ago. The general transmission matrix method for one-dimensional （1D） periodic homogeneous medium is applied to found the theoretical analysis model of the acoustic wave propagations. The plane acoustic waves solutions are obtained. And numerical realization method is also given out. The investigations showed that the method could be used to simulate the behavior of acoustic wave propagating in 1D finite thickness medium including periodical, qusi-periodical, as well as out-of-order structure exactly.