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Band Structure of Three-dimensional Phononic Crystals
Lin Yan ,He-ping Zhao* ,Xiao-yun Wang ,Guo-sheng Huang ,Xiu-yan Peng
Author NameAffiliationE-mail
Lin Yan College of Physics Science and Information Engineering, Jishou University, Jishou 416000, China;Faculty of Material Science and Photoelectronic Physics, Xiangtan University, Xiangtan 411105, China  
He-ping Zhao* College of Physics Science and Information Engineering, Jishou University, Jishou 416000, China phhpzhao@jsu.edu.cn, Tel.: 0743-8563623  
Xiao-yun Wang College of Physics Science and Information Engineering, Jishou University, Jishou 416000, China  
Guo-sheng Huang College of Physics Science and Information Engineering, Jishou University, Jishou 416000, China  
Xiu-yan Peng College of Physics Science and Information Engineering, Jishou University, Jishou 416000, China  
Abstract:
By using the plane-wave-expansion method, the band structure of three-dimension phononic crystals was calculated, in which the cuboid scatterers were arranged in a host with a face-centered-cubic (FCC) structure.The influences of a few factors such as the component materials, the filling fraction of scatterers and the ratio (RHL) of the scatterer's height to its length on the band-gaps of phononic crystals were investigated.It is found that in the three-dimension solid phononic crystals with FCC structure, the optimum case to obtain band-gaps is to embed high-velocity and high-density scatterers in a low-velocity and low-density host. The maximum value of band-gap can be obtained when the filling fraction is in the middle value. It is also found that the symmetry of the scatterers strongly influences the band-gaps. For RHL>1, the width of the band-gap decreases as RHL increases. On the contrary, the width of the band-gap increases with the increase of RHL when RHL is smaller than 1.
Key words:  Phononic crystals, Band-gap, Face-centered-cubic (FCC), Plane wave expansion method
FundProject:
三维声子晶体带结构研究
颜琳,赵鹤平*,王小云,黄国盛,彭秀艳
摘要:
运用平面波展开法计算由长方体散射物以面心立方结构排列于基体中形成的三维声子晶体的带结构,研究不同组分材料、散射物的填充率和长方体散射物的高与长之比RHL对带隙的影响.结果表明,将质量密度和波速大的散射体放在质量密度和波速小的基体中所形成的三维(面心立方)固态声子晶体有利于带隙的产生;散射体的填充率为中间值时带隙最宽;散射体的对称性强烈影响带隙,当RHL大于等于1时,带隙宽度随RHL的增加而减小,相反,当RHL小于1时,带隙宽度随RHL的增加而增加.
关键词:  声子晶体  带隙  面心立方  平面波展开法
DOI:10.1360/cjcp2006.19(2).155.4
分类号: