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Published on: May 9, 2021
Pulsation of bubbles in the viscoelastic medium under dual-frequency ultrasound
Yu Wang1, Dehua Chen1, Pengfei Wu1
1State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China; University of Chinese Academy of Sciences, Beijing 100049, China; Beijing Engineering Research Center of Sea Deep Drilling and Exploration, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China.
Abstract:
The pulsation of bubbles under dual-frequency ultrasound is closely associated with their application in medical diagnostics. In this study, we derive the analytical solution of the bubble dynamic equations in viscoelastic media under dual-frequency ultrasound and compare it with numerical solutions. The effects of the surrounding medium's viscoelasticity, bubble equilibrium radius, incident acoustic frequency, and incident sound pressure ratio on the bubble pulsation and its scattered acoustic waves are analyzed. The results demonstrate consistency between the analytical and numerical solutions. Moreover, our analytical solution reveals that an increase in medium viscosity leads to a decrease in the amplitude of bubble pulsation, even at resonance frequency. Additionally, when the sound pressure ratio is 1, both the difference frequency and sum frequency exhibit maximum amplitude in the spectrum of instantaneous bubble radius. Furthermore, for resonance approximation in sparse bubble cluster detection using sum and difference frequencies, it is necessary for incident frequency f1 to be greater than twice the resonance frequency of the smallest bubble within the cluster.
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