Nonlinear dynamics of acoustic bubbles excited by their pressure-dependent subharmonic resonance frequency: influence of the pressure amplitude, frequency, encapsulation and multiple bubble interactions on oversaturation and enhancement of the subharmonic signal

Nonlinear behavior of bubbles, and most importantly $$\frac{1}{2}$$ -order subharmonics (SH), are used to increase the contrast-to-tissue ratio (CTR) in diagnostic ultrasound (US) and to monitor bubble-mediated therapeutic US. It is shown experimentally and numerically that when bubbles are sonicated with a frequency that is twice their resonance frequency ( $$f_\mathrm{r}$$ ), SHs at half the excitation frequency are generated at the minimum excitation pressure. Thus, $$f=2f_\mathrm{r}$$ is defined as the SH resonance frequency. SHs increase rapidly with pressure and reach an upper limit of the achievable SH signal strength. Numerous studies have investigated the pressure threshold of SH oscillations; however, conditions to enhance the saturation level of SHs have not been investigated. In this paper, nonlinear dynamics of bubbles excited at frequencies in the range of $$f_\mathrm{r}

Keywords:

• Physics
• Saddle-node bifurcation
• Bubble
• Atomic physics
• Supersaturation
• Resonance
• Excitation
• Oscillation
• Amplitude
• Excited state

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