弹性波通过一维复合材料系统的透射性质  

Transmission property of elastic wave through one-dimensional compound materials

作　　者：曹永军[1] 杨旭[1] 姜自磊[1] 

机构地区：[1]内蒙古师范大学物理与电子信息学院,呼和浩特010022

出　　处：《物理学报》2009年第11期7735-7740,共6页Acta Physica Sinica

基　　金：内蒙古自治区高等学校科学技术研究项目(批准号:NJ09037);内蒙古师范大学科研基金(批准号:ZRYB08016)资助的课题~~

摘　　要：提出了不同结构的一维弹性波复合材料系统模型,包括一维周期结构声子晶体、标准Fibonacci准周期结构声子晶体、广义Fibonacci准周期结构声子晶体以及完全无序结构的复合材料系统.采用模式匹配理论法,数值计算了弹性波通过一维复合材料系统的透射系数.计算结果表明,利用特殊的准周期结构声子晶体可获得比周期结构声子晶体更宽的带隙范围,准周期结构排列的复合材料系统相当于在周期结构中引入了缺陷体一样,带隙内出现了丰富的局域模式.对弹性波/声波在复合材料系统中局域态性质的研究有助于弹性波/声波滤波器、导波器等的制作.The models of elastic waves in one-dimensional compound materials, including one-dimensional periodical phononic crystals, abnormal Fibonacci qusi-periodical phononic crystals, generalized Fibonacci qusi-periodical phononic crystals and absolutely disordered compound materials, are proposed in this paper. The transmission coefficients of elastic waves through the above systems are numerically calculated using the mode matched theory method. The results shows that larger band gap can be obtained, and much more localized modes are present in the band gap of a given quasi-periodical structure phononic crystals than in the periodical phononic crystals. The effect of quasi-periodical structure is the same as that of the prcsence of defects in periodical phononic crystals. The study of the localized states of elastic waves/acoustic waves in compound materials is useful to the fabrications of the elastic/acoustic wave filters or wave-guides.

关 键 词：弹性波复合材料 局域化 

分 类 号：O347.41[理学—固体力学]