Analytical study of the acoustic field in a spherical resonator for single bubble sonoluminescence.

DELLAVALE, D.; URTEAGA, R.; BONETTO, F.J.

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA

ACOUSTICAL SOC AMER AMER INST PHYSICS

Año: 2010 vol. 127 p. 186 - 197

0001-4966

The acoustic field in the liquid within a spherical solid shell is calculated.The proposed model takes into account Stoke´s wave equation in the viscous fluid,the membrane theory to describe the solid shell motion and the energy lossthrough the external couplings of the system. A point source at the resonatorcenter is included to reproduce the acoustic emission of a sonoluminescencebubble. Particular calculations of the resulting acoustic field are performed forviscous liquids of interest in single bubble sonoluminescence. The model reveals that in case of radially symmetric modes of low frequency, the quality factor is mainly determined by the acoustic energy flowing through the mechanical coupling of the resonator. Alternatively, for high frequency modes the quality factor ismainly determined by the viscous dissipation in the liquid. Furthermore, theinteraction between the bubble acoustic emission and the resonator modes isanalyzed. It was found that the bubble acoustic emission produces local maxima inthe resonator response. The calculated amplitudes and relative phases of theharmonics constituting the bubble acoustic environment can be used to improvemulti-frequency driving in sonoluminescence.