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}. \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}, isnegative, 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.