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Oscillations, Waves, and Interactions - GWDG

Oscillations, Waves, and Interactions - GWDG

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Dynamics of pulsed laser tissue ablation 239<br />

Figure 13. Q-switched Er:YAG laser ablation of (a) water at Φ = 1.4 J/cm 2 , (b) liver at<br />

Φ = 1.4 J/cm 2 , <strong>and</strong> (c) liver at Φ = 5.4 J/cm 2 . The plume consists of water vapour (top)<br />

<strong>and</strong> a droplet/vapour mixture in (a), tissue fragments in (b), <strong>and</strong> dissociated biomolecules<br />

(top) <strong>and</strong> tissue fragments (bottom) in (c). The volumetric energy densities averaged over<br />

the optical penetration depth are ≈ 5.2 kJ/cm 3 in (a), ≈ 4 kJ/cm 3 in (b), <strong>and</strong> ≈ 9 kJ/cm 3<br />

in (c).<br />

For the ablation of skin at large radiant exposures, a similar sequence of biomolecule<br />

dissociation followed by ejection of tissue fragments was observed [37]. However, in<br />

this case the ejection of tissue fragments occurred over a shorter time interval than<br />

for liver. Ablation ceased when the ablation front reached a depth where the vapour<br />

pressure dropped below the tensile strength of the extracellular tissue matrix. Nevertheless,<br />

fragment ejection was found to continue for several microseconds after the<br />

laser pulse while the tissue matrix is increasingly weakened by thermal denaturation.<br />

Generally, the size of the ejected tissue particles is small at early times after the<br />

laser pulse <strong>and</strong> increases with time [37,78]. The entire sequence of phase transitions<br />

occurring during water <strong>and</strong> tissue ablation is summarized in Fig. 14.<br />

Since ablation becomes a volumetric process as soon as the spinodal limit is exceeded<br />

<strong>and</strong> a phase explosion sets in (Sect. 4.4), it is not self-evident why large<br />

volumetric energy densities sufficient for a vapour explosion <strong>and</strong> dissociation of<br />

biomolecules should be reached in pulsed laser tissue ablation. However, one needs<br />

to consider that the recoil stress produced by the phase transitions of the uppermost<br />

tissue layers delays the phase transitions in underlying layers because the spinodal<br />

temperature increases with increasing pressure (see Fig. 6). The ongoing absorption<br />

of laser energy into the underlying layers can thus drive the thermodynamic state into<br />

the supercritical regime. Even larger recoil stresses are produced when these layers<br />

are ablated, <strong>and</strong> the phase transitions in deeper layers are delayed even more. This<br />

“positive-feedback” process continues at least until the intensity peak of the laser<br />

pulse is reached after which a relaxation process resulting in explosive ablation commences<br />

<strong>and</strong> continues for several microseconds after the end of the laser pulse. The<br />

energy densities generated during the runaway process are in the order of 10 kJ cm −3<br />

[37] <strong>and</strong> give rise to recoil pressures of several hundred MPa (Sect. 4.3).

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