| Original Articles |
|
|
|
|
Acoustic Band Gaps in Three-Dimensional NaCl-Type Acoustic Crystals |
| FANG Nong-Yu, WU Fu-Gen, ZHANG Xin |
| Department of Experiment Education, Guangdong University of Technology, Guangzhou 510006 |
|
| Cite this article: |
|
FANG Nong-Yu, WU Fu-Gen, ZHANG Xin 2008 Chin. Phys. Lett. 25 2922-2925 |
|
|
|
|
Abstract We present the acoustic band gaps (ABGs) for a geometry of three-dimensional complex acoustic crystals: the NaCl-type structure. By using the super cell method based on the plane-wave expansion method (PWE), we study the three configurations formed by water objects (either a sphere of different sizes or a cube) located at the vertices of simple cubic (SC) lattice and surrounded by mercury background. The numerical results show that ABGs larger than the original SC structure for all the three configurations can be obtained by adjusting the length-diameter ratio of adjacent objects but keeping the filling fraction (f=0.25) of the unit cell unchanged. We also compare our results with that of 3D solid composites and find that the ABGs in liquid composites are insensitive to the shapes as that in the solid composites. We further prove that the decrease of the translation group symmetry is more efficient in creating the ABGs in 3D water-mercury systems.
|
| Keywords:
43.20.+g
63.20.-e
35.+d
|
|
|
Received: 15 April 2008
Published: 25 July 2008
|
|
|
|
|
|
|
|
[1] Sigalas M M and Economou E N 1992 J. Sound Vib. 158 377
[2] Ni Q and Cheng J C 2005 Chin. Phys. Lett. 222305
[3] Liu Z Y, Zhang X , Mao Y, Zhu Y Y, Yang Z, Chan C T andSheng P 2000 Science 289 1734
[4] Yablonovitch E 1987 Phys. Rev. Lett. 58 2059
[5] Song B S, Noda S and Asano T 2003 Science 3001537
[6] Wu F G, Liu Z Y and Liu Y Y 2002 Phys. Rev. E 66 046628
[7] Zhong L H, Wu F G, Zhang X , Zhong H L and Zhong S 2005 Phys. Lett. A 339 164
[8] Min R, Wu F G, Zhong L H, Zhong H L and Zhong S 2006 J. Phys. D: Appl. Phys. 39 2272
[9] Goffaux C and Vigneron J P 2001 Physica B 296195
[10] Kushwaha M S and Djafari-Rouhani B 1996 J. Appl.Phys. 80 3191
[11] Biswas R, Sigalas M M and Ho K M 2002 Phys. Rev. B 65 205121
[12] Kushwaha M S and Halevi P 1997 J. Acoust. Soc. Am. 101 619
[13] Chen H Y, Luo X D and Ma H R 2007 Phys. Rev. B 75 024306
[14]Zhang X, Liu Z Y, Liu Y Y and Wu F G 2003 Phys.Lett. A 313 455
[15]Caballero D, Sanchez-Dehesa J, Rubio C, M\'artinez-SalaR, S\'anchez-P\'erez J V, Meseguer F and Llinares J 1999 Phys. Rev. E 60 6316
[16]Xu Z L, Wu F G, Mu Z F, Zhang X and Yao Y W 2007 J.Phys. D: Appl. Phys. 40 5584
[17] Ramprasad R and Shi N 2005 Appl. Phys. Lett. 87 111101
[18] Vasseury J O, Djafari-Rouhaniy B, Dobrzynskiy L andDeymierz P A 1997 J. Phys. Condens. Matter 9 7327
[19] Huang F and He Z 2007 Appl. Acoust. 26 107(in Chinese)
[20] Mu Z F, Wu F G, Zhang X and Zhong H L 2007 ActaPhys. Sin. 56 4694 (in Chinese) |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
