Pol Grasland-Mongrain edited Simu disp maps.tex  over 8 years ago

Commit id: 9c94b03d74eb786d782757eec8231e9d8c48c90f

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To determine if the thermoelastic or the ablative regime %This affirmation  is dominant, we can look at the displacements patterns, which is different between the two regimes \cite{Davies_1993}. As the thermoelastic regime acts mainly as local dipolar forces parallel to the surface, the medium stretches locally parallel to confirmed by  the surface, resulting in observation of  a weak displacement \textit{outside} the medium along Z axis, disk of paler color of the same size  ascalculated previously. In the ablative regime, the point force in the medium displaces  the surface \textit{inside} the medium along Z axis. Initial displacement along Z axis, as seen beam diameter  at$t$=0.8 ms in Figure \ref{Figure2}, is inside  the medium along Z axis%; moreover, impact location of  the displacement along Y axis (approx. 1.5 $\mu$m) is quite smaller than laser on  the one along Z axis (approx. 3 $\mu$m)  : dominant phenomenon is probably phantom, which could correspond to a vaporization of a fraction of  the ablative regime. material.  This affirmation 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 vaporization of a fraction of the material. The ablative regime can be thermal dilatation was  simulated by calculating the displacement created by a force positive then negative over a disk two opposite forces,  of 5 linear amplitude from 0 to 2.5  mm in diameter and (respectively 0 to -2.5 mm),  100 $\mu$m in depth, depth. Propagation  as shown on Figure \ref{Figure3} which represents displacement maps along Y and Z axis 0.8, 1.6, 2.4, 3.2 and 4.0 ms after force application. It a shear wave  was calculatedin a three-dimensional simulation with spatial steps of 10 $\mu$m and temporal steps of 50 $\mu$s  using Green operator \cite{aki1980quantitative} with \cite{aki1980quantitative}, using  a medium density $\rho$ of 1000 kg.m$^{-3}$, a compression wave speed of 1500 m.s$^{-1}$ and a shear wave speed of 4 m.s$^{-1}$. Results are shown on Figure \ref{Figure3} which represents displacement maps along Y and Z axis 0.8, 1.6, 2.4, 3.2 and 4.0 ms after force application.  The displacement maps present many similarities with the experimental results of the Figure \ref{Figure2}, which support the conclusion of an ablative regime. \ref{Figure2}.