Sonic crystal with open resonant cavities

被引:10
作者
Hou, Zhilin [1 ]
Liu, Jingtao
Kuang, Weimin
Liu, Youyan
Wu, Shuizhu
机构
[1] S China Univ Technol, Dept Phys, Guangzhou 510640, Peoples R China
[2] Univ Henri Poincare, LPMIA, F-54506 Vandoeuvre Les Nancy, France
[3] S China Univ Technol, Dept Phys, Guangzhou 510640, Guangdong, Peoples R China
[4] S China Univ Technol, Dept Polymer Sci & Engn, Guangzhou 510640, Guangdong, Peoples R China
来源
PHYSICAL REVIEW E | 2007年 / 75卷 / 02期
关键词
D O I
10.1103/PhysRevE.75.026608
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
An improved scattering matrix method is developed to study a two-dimensional air-rigid sonic crystal with open resonant cavity, and the band structure and transmission properties are investigated. Numerical results show that both the band structure and the transmission coefficient are sensitive to the shape of the resonant cavity. The relationship between the resonant band gap and the shape of the resonant cavity is given. The high effective refractive index and the transmission ratio in the long wave range make such a system a good material for a sound lens.
引用
收藏
页数:7
相关论文
共 20 条
[1]   Large two-dimensional sonic band gaps [J].
Caballero, D ;
Sánchez-Dehesa, J ;
Rubio, C ;
Mártinez-Sala, R ;
Sánchez-Pérez, JV ;
Meseguer, F ;
Llinares, J .
PHYSICAL REVIEW E, 1999, 60 (06) :R6316-R6319
[2]   Refractive acoustic devices for airborne sound -: art. no. 023902 [J].
Cervera, F ;
Sanchis, L ;
Sánchez-Pérez, JV ;
Martínez-Sala, R ;
Rubio, C ;
Meseguer, F ;
López, C ;
Caballero, D ;
Sánchez-Dehesa, J .
PHYSICAL REVIEW LETTERS, 2002, 88 (02) :4
[3]   Acoustic backward-wave negative refractions in the second band of a sonic crystal [J].
Feng, L ;
Liu, XP ;
Lu, MH ;
Chen, YB ;
Chen, YF ;
Mao, YW ;
Zi, J ;
Zhu, YY ;
Zhu, SN ;
Ming, NB .
PHYSICAL REVIEW LETTERS, 2006, 96 (01)
[4]   Measurements and calculations of the sound attenuation by a phononic band gap structure suitable for an insulating partition application [J].
Goffaux, C ;
Maseri, F ;
Vasseur, JO ;
Djafari-Rouhani, B ;
Lambin, P .
APPLIED PHYSICS LETTERS, 2003, 83 (02) :281-283
[5]   Theoretical analysis of the focusing of acoustic waves by two-dimensional sonic crystals [J].
Gupta, BC ;
Ye, Z .
PHYSICAL REVIEW E, 2003, 67 (03) :6-036603
[6]   Singularity of the Bloch theorem in the fluid/solid phononic crystal [J].
Hou, ZL ;
Fu, XJ ;
Liu, YY .
PHYSICAL REVIEW B, 2006, 73 (02)
[7]   Calculational method to study the transmission properties of phononic crystals [J].
Hou, ZL ;
Fu, XJ ;
Liu, YY .
PHYSICAL REVIEW B, 2004, 70 (01) :014304-1
[8]   Effective elastic parameters of the two-dimensional phononic crystal [J].
Hou, ZL ;
Wu, FG ;
Fu, XJ ;
Liu, YY .
PHYSICAL REVIEW E, 2005, 71 (03)
[9]   Two-dimensional sonic crystals with Helmholtz resonators [J].
Hu, XH ;
Chan, CT ;
Zi, J .
PHYSICAL REVIEW E, 2005, 71 (05)
[10]   Large sonic band gaps in 12-fold quasicrystals [J].
Lai, Y ;
Zhang, XD ;
Zhang, ZQ .
JOURNAL OF APPLIED PHYSICS, 2002, 91 (09) :6191-6193