Propagation of acoustic waves in phononic-crystal plates and waveguides using a finite-difference time-domain method
Propagation of acoustic waves in phononic-crystal plates and waveguides using a finite-difference time-domain method
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DOI：
10.1103/physrevb.76.104304
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发表时间：
2007-09
影响因子：
3.7
通讯作者：
Jia-Hong Sun;Tsung-Tsong Wu
中科院分区：
文献类型：
--
作者：
Jia-Hong Sun;Tsung-Tsong Wu
本文分析了声波在声子-晶体平板及相关波导中的传播。首先用时域有限差分(FDTD)方法研究了由圆形钢柱组成的正方形晶格环氧树脂构成的二维声子晶体平板。用Bloch定理处理周期条件，并在板的上、下边界上设置无牵引力条件。计算了色散曲线和位移场以识别带隙和本征模。在声子-晶片中存在完全带隙的情况下，提出了相应的声导结构。给出了波导内部声波的本征模式，并指出了波导的几何排列对模式的影响。在声子-晶体平板波导内部，波的传播被很好地限制在结构内。
Propagation of acoustic waves in a phononic-crystal plate and related waveguides are analyzed in this paper. A two-dimensional phononic-crystal plate consisting of circular steel cylinders which form a square lattice in an epoxy matrix is studied first using the finite-difference time-domain (FDTD) method. The Bloch theorem is employed to deal with the periodic condition, and the traction free condition is set on the top and bottom boundaries of the plates. The dispersion curves and displacement fields are calculated to identify the band gaps and eigenmodes. With the existence of a complete band gap in the phononic-crystal plate, an acoustic waveguide is presented accordingly. Eigenmodes of acoustic waves inside the waveguides are indicated, and the modes are affected by the geometry arrangement of waveguides. Inside the phononic-crystal plate waveguides, wave propagation is well confined within the structure.