Multipole resonances in sound scattering from gas bubbles in a liquid

Abstract

The acoustic scattering properties of spherical gas bubbles in a liquid differ from those of a pressure-release sphere by the well-known ’’giant’’ monopole resonance at very low frequencies, which is due to the compressibility of the gas contained in the bubble. We show here that, in addition to this monopole resonance, a large number of higher-frequency resonances exist which are either overtones of the monopole, or which correspond to both fundamental and overtones of bubble vibrations of higher multipolarity. Although much smaller in size than the giant monopole, these resonances may nevertheless constitute features of some importance in sound scattering from gas bubbles.

Impact of polydispersity on multipolar resonant scattering in emulsions

“…One important difficulty is the achievement of quasimonodisperse particulate mixtures, which is essential to evidence multipolar resonant features at relatively high ka from a collection of particles in suspension. Indeed, the individual resonances, predicted from the Resonant Scattering Theory for single objects, [5][6][7] tend to be masked by an averaging process when a polydisperse collection of objects contributes to the scattered field. Since the first experimental works on manufactured millimetric metallic spheres, 8,9 multipolar resonances have been observed in suspensions of calibrated polystyrene microspheres.…”

Time-resolved absolute radius estimation of vibrating contrast microbubbles using an acoustical camera

“…The deviations from the linear trend around bubble radii of 2.35, 3.14, 5.11, and 5.41 lm in Fig. 3 are not numerical errors but can be attributed to higher-order resonance modes (Sage et al, 1979). It is unknown whether these resonances occur for highly damped lipid-shelled MBs.…”

Ultrasound contrast microbubbles in imaging and therapy: physical principles and engineering

“…Using a small-amplitude oscillation assumption, the Rayleigh-Plesset equation has been widely applied to study many aspects of bubble dynamics such as bubble natural frequency, acoustic scattering characteristics, thermal damping effects (Devin, 1959;Fanelli et al, 1981;Vokurka, 1985;Dejong et al, 1994b;Dejong et al, 1992;Prosperetti, 1975;Miller, 1981;Strasberg, 1956;Gaunaurd and Uberall, 1978;Sage et al, 1979;Allen et al, 2001;Hu et al, 2004;Brown, 1983, 1984;Feng and Leal, 1994) (Table 2b and c). Taking into account of the effect of the surface tension, the Minnaert expression for bubble resonance frequency can be given by (Minnaert, 1933;Miller, 1981):…”

“…Based on a linear approximation, bubble shapes, modes and scattering characteristics are investigated. (Strasberg, 1956;Gaunaurd and Uberall, 1978;Sage et al, 1979;Allen et al, 2001;Huet al, 2004;Brown, 1983, 1984;Feng and Leal, 1994) Unconstrained nonlinear radial oscillations (Gilmore, 1952;Trilling, 1952;Keller and Kolodner, 1956;Biasi et al, 1972;Keller and Miksis, 1980;Prosperetti, 1982b;Prosperetti and Lezzi, 1986;Vokurka, 1986;Lezzi and Prosperetti, 1987;Prosperetti, 1987;Brenner, 1995;Brujan, 1998;Prosperetti et al, 1988;Barber et al, 1997;Brujan, 1999;Putterman et al, 2001;Brujan, 2001;Brenner et al, 2002) e: thermal effects Heat transfer between the bubble and liquid is included by coupling the heat diffusion equation to the modified Rayleigh-Plesset equation without adiabatic or isothermal assumptions. (Flynn, 1975a, b;Kamath and Prosperetti, 1989;Prosperetti, 1991;Kamath et al, 1992;Goldsztein, 2004) f: gas diffusion For acousticallydriven bubble diffusion (Chomas et al, 2001a), bubble equilibrium size is determined by the gas diffusion equation.…”