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Oscillations, Waves, and Interactions - GWDG

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160 W. Lauterborn et al.<br />

Figure 24. Experimentally measured times of first collapse of the optically generated<br />

bubble (circles) <strong>and</strong> numerically fitted curve obtained with the Gilmore model. The fit<br />

yields the phase calibration <strong>and</strong> the acoustic amplitude that cannot be measured by a<br />

hydrophone in situ without significantly disturbing the sound field.<br />

a large maximum radius is attained later <strong>and</strong> later in the acoustic cycle (Fig. 23).<br />

This leads to a discontinuity in collapse times vs. seeding phase as shown in Fig. 24.<br />

Experimental values are plotted along with numerical data obtained with the Gilmore<br />

model for parameters that are fitted to yield minimum deviation. By comparing<br />

experimental data with numerical results from a proven model the bubble can be<br />

used as a pressure sensor in a self-consistent way: the fit yields the zero of the<br />

seeding phase <strong>and</strong> the amplitude of the acoustic pressure at the bubble position.<br />

The jump in collapse time corresponds to the point where the sound field is able to<br />

reverse the bubble motion before the first, immediate collapse occurs. This method<br />

of pressure determination has the advantage that no hydrophone, which invariably<br />

tends to disturb the sound field, has to be immersed in the liquid, <strong>and</strong> that it can<br />

also be used with a closed cuvette.<br />

Femtosecond laser pulses have been used for bubble generation in these experiments<br />

to reduce the amount of non-condensable gas that is created in the breakdown<br />

process. Femtosecond pulses have a low breakdown threshold <strong>and</strong> thus a small plasma<br />

volume, so the gas production is minimized. Less gas means a more violent collapse as<br />

the bubble can shrink to a smaller volume before the pressure in the bubble medium<br />

counteracts the inertially dominated liquid inflow. In this way a high energy concentration<br />

<strong>and</strong> collapse strength may be achieved, that can be assessed by measuring<br />

bubble luminescence <strong>and</strong> shock wave emission as its indicators, <strong>and</strong> their dependence<br />

on acoustic driving pressure, for example.<br />

Figure 25 presents an investigation of bubble luminescence for optically generated<br />

bubbles in an ultrasonic field. Light emission of the bubbles in dependence on their<br />

seeding phase ϕs was measured for bubbles of the type shown in Fig. 22(right). While,

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