散射体旋转角对二维声子晶体带隙结构影响分析  

Effects of the rotation angle of scatterers on the band gap structure of a two-dimensional phononic crystal

作　　者：杜敬涛[1] 贺彦博[1] 冯浩成 

机构地区：[1]哈尔滨工程大学动力与能源工程学院,黑龙江哈尔滨150001

出　　处：《哈尔滨工程大学学报》2014年第11期1358-1363,共6页Journal of Harbin Engineering University

基　　金：国家自然科学基金资助项目(11202056)

摘　　要：为探讨散射体旋转作用对于弹性波在声子晶体中的传播特性产生的影响,采用平面波展开法将散射体与晶格轴线夹角因素引入结构函数,研究了在不同填充率下,伴随着旋转角的变化,正方形、椭圆形、正六边形散射体禁带出现的位置及宽度变化情况。研究结果表明:散射体旋转角度对二维声子晶体带隙结构具有显著影响,并且散射体旋转角对正六边形、正方形散射体的影响明显大于对于椭圆形散射体的影响;然而,无论散射体取为何种形状,旋转角度对声子晶体产生禁带的位置(禁带中间频率)影响并不明显。In order to investigate the influence of rotation of scatterers on the propagation characteristic of elastic waves in phononic crystals, the plane wave expansion method is utilized in this paper. The factor of rotation angle between scatterers and lattice axis is introduced into the structure function to explore the change of position as well as the width of the band gap structure for square, ellipse and hexagon scatterers corresponding to the change of rotation angle and filling fractions. The results demonstrated that the rotation angle of scatterers has significant impact on the band gap structure of two dimensional phononic crystals. In the meantime, such impact on the hexagon and square scatterers is more obvious than the elliptical scatterers. However, no matter what the shape of the scatterer is, the influence of rotation angle on the band gap position （mid-gap） of phononic crystals is not obvious.

关 键 词：声子晶体 带隙 禁带 旋转角 平面波展开法 散射体 

分 类 号：O481.1[理学—固体物理]