Localisation and phase transition of acoustic waves in a soft medium containing air bubbles

doi:10.1088/1674-1056/19/9/094301

Abstract We study via numerical experiments the localisation property of an acoustic wave in a viscoelastic soft medium containing randomly-distributed air bubbles. The behaviours of the oscillation phases of bubbles are particularly investigated in various cases for distinguishing efficiently the acoustic localisation from the effects of acoustic absorption caused by the viscosity of medium. The numerical results reveal the phenomenon of 'phase transition' characterized by an unusual collective oscillation of bubbles, which is an effective criterion to unambiguously identify the acoustic localisation in the presence of viscosity. Within the localisation region, the phenomenon of phase transition persists, and a remarkable decrease in the fluctuation of the oscillation phases of bubbles is observed. The localisation phenomenon will be impaired by the enhancement of the viscosity factors, and the extent to which the acoustic wave is localised may be determined by appropriately analyzing the values of the oscillation phases or the amount of reduction of the phase fluctuation. The results are particularly significant for the practical experiments in an attempt to observe the acoustic localisation in such a medium, which is in general subjected to the interference of the great ambiguity resulting from the effect of acoustic absorption.

Keywords: acoustic localisation phase transition viscoelastic soft medium air bubble

Received: 29 June 2009
Revised: 29 March 2010
Accepted manuscript online:

PACS:	4335
	0340K
	4660B

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10804050 and 10874086), the Ministry of Education of China (Grant Nos. 20060284035 and 705017).

Cite this article:

Liang Bin(梁彬), Zou Xin-Ye(邹欣晔), and Cheng Jian-Chun(程建春) Localisation and phase transition of acoustic waves in a soft medium containing air bubbles 2010 Chin. Phys. B 19 094301

[1]	Anderson P W 1958 Phys. Rev. 109 1492
[2]	Dalichaouch R, Armstrong J P, Schultz S, Platzman P M and McCall S L 1991 Nature 354 53
[3]	Genack A Z and Garcia N 1991 Phys. Rev. Lett. 66 2064
[4]	Wiersma D S, Bartolini P, Lagendijk A and Roghini R 1997 Nature 390 671
[5]	Miguel A P and Paolo DT 2004 Phys. Rev. E 69 066606
[6]	Ye Z and Alvarez A 1998 Phys. Rev. Lett. 80 3503
[7]	Kuo C H, Wang K K and Ye Z 2003 Appl. Phys. Lett. 83 4247
[8]	Wilson P S, Roy R A and Carey W M 2005 J. Acoust. Soc. Am. 117 1895
[9]	Ostrovsky L A 1988 Sov. Phys. Acoust. 34 523
[10]	Ostrovsky L A 1991 J. Acoust. Soc. Am. 90 3332
[11]	Leroy V, Strybulevych A, Page J H and Scanlon M G 2008 J. Acoust. Soc. Am. 123 1931
[12]	Liang B and Cheng J C 2007 Phys. Rev. E 75 016605
[13]	Liang B, Zhu Z M and Cheng J C 2006 Chin. Phys. Lett. 23 871
[14]	Liang B, Zou X Y and Cheng J C 2009 Chin. Phys. Lett. 26 024301
[15]	Zabolotskaya E A, Ilinskii Y A, Meegan G D and Hamilton M F 2005 J. Acoust. Soc. Am. 118 2173
[16]	Alvarez A, Wang C C and Ye Z 1999 J. Comp. Phys. 154 231
[17]	Foldy L L 1945 Phys. Rev. 67 107
[18]	Ishimaru A 1978 Wave Propagation and Scattering in Random Media (New York: Academic Press)
[19]	Qian Z W and Xiao L 2008 Chin. Phys. B 17 3785
[20]	Liang B, Zhu Z M and Cheng J C 2006 Chin. Phys. 15 412
[21]	Church C C 1995 J. Acoust. Soc. Am. 97 1510
[22]	Gaunaurd G C and Barlow J 1984 J. Acoust. Soc. Am. 75 23
[23]	Feng H J and Liu F M 2009 Chin. Phys. B 18 1574
[24]	Gupta B C and Ye Z 2003 Phys. Rev. E 67 036606 endfootnotesize

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