On the scattering of sound by an inelastic ball of arbitrary radius. The scattering efficiency factor

The scattering of an acoustic wave by a single inelastic liquid ball is considered. To derive the required expressions, we use the mathematical technique that is characteristic of the theory of scattering of particles. Expressions are given for the field and amplitude of scattering of the ball, and also the scatterer integral parameter, adapted to the acoustic case, adopted in optics: the scattering efficiency factor. The results obtained for single inclusion under certain conditions easily extend to ensembles of particles, and the scattering factor can be useful in estimating the total intensity of the scattered field in the presence of a large number of chaotically weighted inclusions in the medium. Examples of calculation of the scattering efficiency factor for specific parameters are given, which are compared with optical analogs. The results obtained can be useful in the theory and practice of radiation pressure of sound on ensembles of particles.