Pol Grasland-Mongrain edited The_two_regimes_have.tex  over 8 years ago

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The two regimes present different displacements patterns \cite{undefined}. As previously described, the thermoelastic regime acts as local dipolar forces parallel to the surface. Thus, the medium stretches locally parallel to the surface, resulting two strong opposite displacements along Y axis (parallel to the surface) and a weak displacement outside the medium along Z axis (normal to the surface). In the ablative regime, the point force in the medium displaces strongly the surface of the medium along Z axis, with weak displacements along Y axis. Initial displacement along Z axis, as seen at $t$=0.8 ms in Figure \ref{Figure2}, is negative, i.e., the displacement is inside the medium along Z axis, and the displacement along Y axis (approx. 1.5 $\mu$m) is quite smaller than the one along Z axis (approx. 3 $\mu$m): The underlying phenomenon is consequently an ablative regime.   This conclusion is confirmed by the observation of a disk of paler color of the same size as the beam diameter at the impact location of the laser on the phantom, which could correspond to a melting of a fraction of the material. material.%  From equation \ref{eq:eqTemperature}, with the laser characteristics and an initial temperature $T_0$ of 25 $^o$C, $T$ is higher than 50 $^o$C, approximate phantom melting temperature, over \textcolor{red}{XXX} $\mu$. %Shear wave amplitude has been shown to be linearly dependent on laser beam power in thermoelastic and ablative regime. However, at higher amplitude (about 10$^9$ W.cm$^{-2}$ in metals \cite{scruby1990laser}), a plasma occurs and lead to a non-linear amplitude of the displacement with laser energy.  The dependence of the generated shear waves with laser energy has been investigated by increasing the laser beam energy from 10 to 200 mJ. Results are illustrated in Figure \ref{Figure4}-(A). We observe an linear relationship between shear wave amplitude and laser beam power, with a correlation coefficient of 0.9386. At an energy smaller than 50 mJ, shear wave amplitude becomes smaller than ambient noise. Due to this linear dependency, the plasma regime can be discarded.