“…scattering cross section, and the radial time series, i.e., resonance frequency and radial excursion from equilibrium as a function of amplitude or phase of the oscillation. [4][5][6][7] In this fashion, a number of dynamic phenomena that were reported experimentally in association with pulsating contrast agents have been studied, such as the nonlinear reduction of resonance frequency 4,8 and the abrupt onset of radial vibrations as the sound amplitude increases, 4,9 the compression only and expansion only effects, 4,6,7,10,11 and the rich harmonic content of certain contrast agents at large amplitudes. 4,6,12 All the above effects can be recovered within the scope of radial symmetry, with the exception of compression only behavior that is most likely associated with a deformed bubble interface 7, 10 and the harmonic content that is enriched in the presence of shape modes 13, 14 buckling 14 and break-up.…”