二维正方点阵固态声子晶体带隙研究  

Band Gap Calculation for Two-Dimensional Solid Phononic Crystals with Square Lattices

作　　者：颜琳[1] 赵鹤平[1] 王小云[2] 彭秀艳 

机构地区：[1]湘潭大学材料与光电物理学院,湖南湘潭411105 [2]吉首大学物理科学与信息工程学院,湖南吉首416000

出　　处：《吉首大学学报（自然科学版）》2005年第1期76-79,共4页Journal of Jishou University(Natural Sciences Edition)

基　　金：湖南省自然科学基金资助项目(00JJY2072);湖南省学科带头人资助项目(湘教通2002[187号])

摘　　要：声子晶体对声子晶体带结构的研究具有极大的理论和应用价值.介绍了用平面波展开法计算二维正方点阵的固态声子晶体带隙的方法,研究不同截面形状的散射物对晶体带隙的影响.当填充分数F<0.5时,圆形截面散射物体系比正方形截面及长方形截面的体系有利于带隙产生,而当F>0.5时,则正方形截面的体系更优越.The study of phononic crystals band gap will not only give rise to a new interesting theory,but also open up variety of possible application.The plane wave expansion method is introduced to calculate the band gap for two-dimensional solid phononic crystals with square lattices.The effects of different shapes of the scatterers' section on band gaps are investigated.The calculated results show that when the scatterers' filling fraction F<0.5,the circular section is easier to attain large band gaps than the square section and rectangle one;while when F>0.5,the square section is more favorable for the appearance of the band gaps.　

关 键 词：声子晶体 带隙 固态 点阵 二维 平面波展开法 方形截面 应用价值 填充分数 截面形状 圆形截面 极大的 带结构 物体系 散射 

分 类 号：TN821.8[电子电信—信息与通信工程] TB34[一般工业技术—材料科学与工程]