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Oscillations, Waves, and Interactions - GWDG

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232 A. Vogel, I. Apitz, V. Venugopalan<br />

Figure 10. Path taken through the p vs. T projection of the thermodynamic phase diagram<br />

for confined boiling (1 → 2 → 4 → 6) <strong>and</strong> for tissue ablation involving a phase explosion<br />

(1 → 2 → 3 → 4 ′ → 5 → 6). The actual path followed depends on the rate of energy<br />

deposition, number density of heterogeneous nuclei, <strong>and</strong> the mechanical strength of the tissue<br />

matrix relative to the saturation vapour pressure corresponding to the ambient spinodal<br />

temperature.<br />

4.5 Effects of the tissue ECM on the phase transitions<br />

In pulsed laser ablation of tissues, the phase transition processes are affected by the<br />

presence of the ECM. For boiling processes within tissue, the vapour pressure necessary<br />

to drive bubble growth must not only overcome surface tension but also the<br />

elastic restoring forces provided by the tissue matrix [62]. Therefore, bubble growth<br />

in tissue requires a higher internal pressure than in pure liquids, <strong>and</strong> the elevated<br />

pressure is coupled to an increase in the boiling (saturation) temperature. The pressure<br />

increase that develops during the boiling process continues until it exceeds the<br />

ultimate tensile strength of the ECM <strong>and</strong> results in explosive tissue ablation [62]. We<br />

term this process “confined boiling”. On the p–T phase diagram in Fig. 10, the confined<br />

boiling process corresponds to a path 1 → 2 → 6, where the 2 → 6 transition<br />

is coincident with the binodal <strong>and</strong> terminates where the saturated vapour pressure<br />

equals the ultimate tensile strength of the tissue. In the presence of a tissue matrix,<br />

explosive material ejection will thus occur regardless of the rate of energy deposition.<br />

Thus, it is not surprising that explosive material ejection due to confined boiling has<br />

also been reported to occur in ablation using continuous irradiation at relatively low<br />

irradiances [63,64].<br />

In the above scenario, little vaporization occurs prior to the onset of ablation because<br />

bubble growth is impeded by the necessity to deform the tissue matrix. For

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