嵌套复式三角晶格固/气型声子晶体的带隙研究  

Study on band gaps of nested complex triangular lattice phononic crystal of solid/air type

作　　者：胡家光[1,2] 张晋[2] 敬守勇[3] 

机构地区：[1]文山师范高等专科学校数理系,云南文山663000 [2]云南大学物理科学技术学院,昆明650091 [3]深圳大学光电子学研究所,深圳518060

出　　处：《振动与冲击》2009年第8期121-123,共3页Journal of Vibration and Shock

基　　金：国家自然科学基金(10664006);云南省基础研究计划重点项目(2007A0017Z);文山师专校科研基金(08WSY06)资助项目

摘　　要：设计了一种新型的嵌套复式三角晶格固/气型声子晶体,用两个相切的圆柱替代简单三角晶格中的每个单圆柱基元,采用平面波法计算了其弹性波带隙结构。与简单三角晶格相比,嵌套复式三角晶格可以在更低的填充率及更低的频率位置产生宽带隙,在相同的填充率下,嵌套复式三角晶格最高可以获得宽度为4.4倍于简单三角晶格第一带隙宽度的最低带隙,而且中心频率低至简单三角晶格第一带隙中心频率的二分之一。The plane wave expansion method was employed to calculate the elastic wave band gaps of a new type of nested complex triangular lattice phononic crystal which is composed of steel columns embedded in air matrix, and each single column basis of which is replaced by two columns tangent to each other.Numerical results show that, comparing with the simple triangular lattice phononic crystal, wider band gaps appear at lesser filling-fraction and in lower frequency area. At the same filling-fraction, the widest first band gap for the nested complex triangular lattice is 4.4 times wider than that of the first band gap width of simple triangular lattice, and its mid-gap frequency is only one half of the first mid-gap frequency of simple triangular lattice.

关 键 词：声子晶体 能带结构 弹性波带隙 平面波法 

分 类 号：TB53[理学—物理] O328[理学—声学]