Acoustic Localization in Bubbly Liquid Media

Ye, Zhen; Álvarez, Alberto

doi:10.1103/physrevlett.80.3503

Cited by 65 publications

(83 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…it is representative of the frequency dependence of the total power escaping to infinity. In line with the 3D situation [11], the regime in which the transmission is blocked indicates acoustic localization and is referred to as the localization regime. When N is increased while keeping β constant, the transmitted intensity for ka between 0.006 and 0.02 will decrease as exp(−(N/β) 1/2 /(L a /a)), from which the energy localization length L a can be estimated in terms of the cylinder radius a.…”

mentioning

confidence: 99%

“…Multiple scattering in such systems can be computed exactly using the well-known self-consistent method [13] and the matrix inversion scheme [11]. In the scheme, the multiple scattering can be solved in terms of the response function of individual scatterers.…”

mentioning

confidence: 99%

“…The approach is based upon the self-consistent theory of multiple scattering [13] and has been used previously to study acoustic localization in bubbly liquid media [11]. Wave propagation is expressed by a set of coupled equations and is solved rigorously.…”

mentioning

confidence: 99%

See 2 more Smart Citations

Phase Transition in Acoustic Propagation in 2D Random Liquid Media

Hoskinson

1999

Phys. Rev. Lett.

Self Cite

View full text Add to dashboard Cite

Acoustic wave propagation in liquid media containing many parallel air-filled cylinders is considered. A self-consistent method is used to compute rigorously the propagation, incorporating all orders of multiple scattering. It is shown that under proper conditions, multiple scattering leads to a peculiar phase transition in acoustic propagation. When the phase transition occurs, a collective behavior of the cylinders appears and the acoustic waves are confined in a region of space in the neighborhood of the transmission source. A novel phase diagram is used to describe such phase transition.When propagating through media containing many scatterers, waves will be scattered by each scatterer. The scattered wave will be again scattered by other scatterers. Such a process will be repeated to establish an infinite recursive pattern of multiple scattering, effectively causing the scattering characteristics of the scatterers to change. Multiple scattering of waves is responsible for many fascinating phenomena [1], including modulation of ambient sound at ocean surfaces [2], acoustic scintillation from turbulent flows [3], white paint, random lasers [4], electrical resistivity, and photonic band gaps in periodic structures [5]. More interesting, perhaps, under proper conditions multiple scattering leads to the unusual phenomenon of wave localization, a concept introduced by Anderson [6] to explain the conductor-insulator transition induced by disorders in electronic systems. That is, the electrical conductivity can be completely blocked and electrons remain localized in the neighborhood of the initial emission site due to multiple scattering of electronic waves by a sufficient amount of impurities in solids. By analogy, it has been conjectured that similar localization effect may also exist in the transmission of classical waves in randomly scattering media.Considerable efforts have been devoted to propagation of classical waves in random media. Localization effects have been reported for microwaves in 2D random systems [7], for acoustic waves in underwater structures [8], and for light [9]. Research also suggests that acoustic localization may be observed in bubbly liquids [10,11]. Despite the efforts, however, no deeper insight into localization can be found in the literature, as suggested by Rusek et al. [12]. The general cognition is that enhanced backscattering is a precursor to localization and waves are always localized in 2D random systems. Important questions such as how localization occurs and manifests remain unresolved. It is also unknown how many types of localization exist. It is believed that localization is a phase transition. However, how to characterize such a phase transition has not been considered in the literature. A deeper question may concern whether wave localization corresponds to a symmetry breaking and whether the collective behavior often seen in phase transitions such as superconductivity exits. This paper attempts to shed light on these questions.In this paper, we present a rigorous stud...

show abstract

mentioning

confidence: 99%

mentioning

confidence: 99%

See 1 more Smart Citation

Phase Transition in Acoustic Propagation in 2D Random Liquid Media

Hoskinson

1999

Phys. Rev. Lett.

Self Cite

View full text Add to dashboard Cite

show abstract

“…Interest on pressure wave propagation is also high in the case of bubbly liquids, in which bubble-bubble interaction and the interference between pressure waves and bubbles play a role. [1][2][3][4][5][6][7][8][9][10] Commander and Prosperetti, for example, proposed a refined theory for the sound velocity and attenuation of weak pressure waves in bubbly liquids and carefully examined the accuracy of their model using existing experimental data. 4) Kameda et al considered numerically and experimentally shock wave propagation in water with homogeneously distributed bubbles and gave a detailed discussion on the effect of inhomogeneity in bubble distributions.…”

Section: Mitigation Technologies For Damage Induced By Pressure Wavesmentioning

confidence: 99%

Mitigation Technologies for Damage Induced by Pressure Waves in High-Power Mercury Spallation Neutron Sources (III)—Consideration of the Effect of Microbubbles on Pressure Wave Propagation through a Water Test—

Naoe¹,

Kogawa²,

Futakawa³

et al. 2011

Journal of Nuclear Science and Technology

View full text Add to dashboard Cite

The effects of microbubbles dispersed in a liquid on a high-rising-rate pressure wave were experimentally investigated with water. Intense, high-rising-rate pressure waves with a rise time of about 1.5 ms were produced by a spark discharge in water, and gas microbubbles were produced by two different bubble generators. Particular attention was focused on the attenuation effect of microbubbles on propagating pressure waves. The dependence of the attenuation effect on the radius and void fraction of the microbubbles was carefully examined. It was found that when the microbubbles are sufficiently small (e.g., about 50 mm in peak radius), the amplitude of wall vibration induced by the spark-induced pressure wave is dramatically decreased with an increase in void fraction. The present study provides strong experimental evidence that microbubbles can act as a strong absorber for high-rising-rate pressure waves as recently predicted numerically.

show abstract

“…The effort in searching for localization of classical waves such as acoustic and electro-magnetic waves is tremendous. It has drawn intensive attentions from both theorists [2][3][4][5][6][7][8] and experimentalists [9,10]. Snice the pioneering work of Anderson et.al.…”

Section: Introductionmentioning

confidence: 99%

Statistics of the Lyapunov exponent in one-dimensional layered systems

Luan

2001

Phys. Rev. E

Self Cite

View full text Add to dashboard Cite

Localization of acoustic waves in a one dimensional water duct containing many randomly distributed air filled blocks is studied. Both the Lyapunov exponent and its variance are computed. Their statistical properties are also explored extensively. The results reveal that in this system the single parameter scaling is generally inadequate no matter whether the frequency we consider is located in a pass band or in a band gap. This contradicts the earlier observations in an optical case. We compare the results with two optical cases and give a possible explanation of the origin of the different behaviors.

show abstract

Acoustic Localization in Bubbly Liquid Media

Cited by 65 publications

References 29 publications

Phase Transition in Acoustic Propagation in 2D Random Liquid Media

Phase Transition in Acoustic Propagation in 2D Random Liquid Media

Mitigation Technologies for Damage Induced by Pressure Waves in High-Power Mercury Spallation Neutron Sources (III)—Consideration of the Effect of Microbubbles on Pressure Wave Propagation through a Water Test—

Statistics of the Lyapunov exponent in one-dimensional layered systems

Contact Info

Product

Resources

About