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Pol Grasland-Mongrain edited The_two_regimes_have.tex
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The two regimes present different displacements patterns
\cite{undefined}. \cite{Davies_1993}. 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 \textit{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 \textit{inside} 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): main
underlying occurring phenomenon is probably an ablative regime.
This ablative regime can be simulated by calculating the displacement created by a force positive then negative over a disk of 5 mm in diameter and 100 $\mu$m in depth, 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 was calculated in a three-dimensional simulation with spatial steps of 10 $\mu$m and temporal steps of 50 $\mu$s using Green operator \cite{aki1980quantitative} with 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$^{-1}$. The displacement maps present many similarities with the experimental results of the Figure \ref{Figure2}, which support the conclusion of an ablative regime.
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