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Oscillations, Waves, and Interactions - GWDG

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The single bubble – a hot microlaboratory 153<br />

Figure 14. Shape dynamics of two elongated femtosecond-laser-induced bubbles. The<br />

height of the frames is 47 µm. Comparison with theory courtesy of N. Pelekasis <strong>and</strong> K.<br />

Tsiglifis [25].<br />

the shock wave. Figure 16 gives the result of a shock wave pressure measurement<br />

series with different bubble sizes Rmax. The upper <strong>and</strong> lower boundaries of the shaded<br />

area give the error bounds of the measurements. The pressures obtained at distance<br />

d from the breakdown site have been extrapolated to the minimum bubble radius<br />

by using a 1/r-dependence for the amplitude, where the minimum radius has been<br />

obtained by a numerical fit to the bubble collapse. About 10 kbar are reached for a<br />

bubble collapsing from a radius of 500 µm <strong>and</strong> about 25 kbar when collapsing from a<br />

radius of 3 mm. Unfortunately the collapse pressure from trapped bubbles cannot be<br />

measured this way as these bubbles are extremely sensitive to a disturbance nearby<br />

<strong>and</strong> also of lower shock wave strength, because they reach a lower maximum size<br />

of less than about a 100 µm <strong>and</strong> thus have less total energy. But extrapolating the<br />

pressure values down to smaller radii Rmax gives strong evidence of collapse pressures<br />

in the range of a few 1000 bar for st<strong>and</strong>ard sonoluminescing trapped bubbles.<br />

laser pulse<br />

glass fibre<br />

R max<br />

d<br />

Fibre−optic hydrophone<br />

Figure 15. Experimental arrangement with a fibre-optic hydrophone for the measurement<br />

of shock waves from laser-induced breakdown <strong>and</strong> of bubble collapse shock waves. The<br />

distance d between the fibre tip <strong>and</strong> the bubble can be varied.

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