S. Hilgenfeldt et al., RESPONSE OF BUBBLES TO DIAGNOSTIC ULTRASOUND - A UNIFYING THEORETICALAPPROACH, EUROPEAN PHYSICAL JOURNAL B, 4(2), 1998, pp. 247-255
The scattering of ultrasound from bubbles of similar to 1 mu m radius,
such as used in contrast enhancers for ultrasound diagnostics, is stu
died. We show that sound scattering and ''active'' emission of sound f
rom oscillating bubbles are not contradictory, but are just two differ
ent aspects derived from the same physics. Treating the bubble as a no
nlinear oscillator, we arrive at general formulas for scattering and a
bsorption cross-sections. We show that several well-known formulas are
recovered in the linear limit of this ansatz. In the case of strongly
nonlinear oscillations, however, the cross-sections can be larger tha
n those for linear response by several orders of magnitude. The major
part of the incident sound energy is then converted into emitted sound
, unlike what happens in the linear case, where the absorption cross-s
ections exceed the scattering cross-sections.