Radiation damping of, and scattering from, an arbitrarily shaped bubble

The work by Strasberg on small volume oscillations of bubbles with arbitrary shape [J. Acoust. Soc. Am. 25, 536-537 (1953)] is here extended to include the effects of radiation damping. An expression for the far-field scattering amplitude from an arbitrarily shaped bubble is given in terms of a quantity that is mathematically equivalent to the electrostatic capacitance of the bubble shape. This general approach is then applied to prolate and oblate spheroidal geometries, for which simple analytic expressions are available for the electrostatic capacitance, and the resulting far-field scattering amplitudes are compared to previous work in the literature.