声子晶体是一种具有声波带隙特性的新型功能材料。运用平面波展开法研究了二维声子晶体的带结构.二维声子晶体由横截面为正方形的散射体按正方彤排列植入环氧树脂基体中形成。结果表明:通过改变散射体的取向可以调节系统的带隙,当填充率较低时,带隙宽度随散射体旋转角的增加先减小再增加,而填充率较高时,带隙宽度随散射体旋转角的增加而先稍有增加然后再减小。
Phononic crystal is a novel functional material with acoustic band-gaps. We study the band structure of 2D phononic crystal using the plane wave expansion method. The crystal is composed of a square array of scatterers embedded in an epoxy host, and the scatterers have square cross sections. The results show that the band-gaps of this system can be adjusted by changing the scatterers' tropism. When the filling rate is low, with the increase of the scatterers' rotation angle, the band-gap width initially becomes narrower and then widens gradually, while at high filling rates, the band-gap width increases slightly at first and then decreases as the scatterers' rotation angle increases.