Multiple sound wave scattering by spherical particles performing monopole oscillations and located at the sites of a three-dimensional lattice with identical cells

Abstract

The scattering problem is solved for the case of plane sound waves scattered by an infinite three-dimensional lattice with identical cells and with sites occupied by spherical particles performing monopole oscillations. It is shown that the particle oscillations are characterized by zero radiation energy loss and that, in the case of gas bubbles in a liquid, the resonance frequency of bubble oscillations increases with an increase in their concentration, while the phase velocity of the wave modulating the bubble oscillation amplitude monotonically decreases. The solution is obtained without introducing an effective particle with the corre-sponding density, shear stress, and radius parameters, unlike an earlier publication, where such a procedure was used for the mean fields of particle oscillation amplitudes.