deletions | additions       diff --git a/Simu disp maps.tex b/Simu disp maps.tex  index 49ff886..4f9850e 100644  --- a/Simu disp maps.tex  +++ b/Simu disp maps.tex 
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Displacement can again be computed by convoluting the 4-D matrix $H_z(x,y,z,t)$ of the applied force with $G_zz$. We modeled here the vaporization as a point force directed along Z direction (so angle $\beta$ = 0) during 100 $\mu$s with a depth of 50 $\mu$m and increasing linearly from -2.5 to 0 mm and decreasing symmetrically from 0 to 2.5 mm (to approximate a Gaussian shape). The medium density $\rho$ was taken equal to 1000 kg.m$^{-3}$, the compression wave speed to 1500 m.s$^{-1}$ and the shear wave speed to 5.75 m.s$^{-1}$.  Results are shown on Figure \ref{figGreenAbla} which represents displacement maps between each frame along Z axis 0.8, 1.6, 2.4, 3.2 1.0, 1.5, 2.0, 2.5  and 4.0 3.0  ms after force application. The displacement maps present many similarities with the experimental results of the Figure \ref{Figure2}. \ref{Figure2}: initial displacement is positive only and two half cycles are propagating.  Ablation regime is has also  confirmed visually by the observation of visually: at high power,  a disk of paler color of the same size as the beam diameter appears  at the impact location of the laser on the phantom at high power, phantom,  which is coherent to a vaporization of a fraction of the material.