deletions | additions       diff --git a/Simu disp maps.tex b/Simu disp maps.tex  index 49b0a55..5655879 100644  --- a/Simu disp maps.tex  +++ b/Simu disp maps.tex 
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\end{equation}  where $\theta$ is the angle between the applied force and the considered point (r,$\theta$,z), $\rho$ the medium density, $c_p$ and $c_s$ the compression and shear wave speed respectively, $\delta_S$ and $\delta_P$ Dirac distribution indicating the position of the compression and shear waves along space and time, $\tau$ the time and $\delta_{NF}$ representing near-field effects. The three terms correspond respectively to the far-field compression wave, the far-field shear wave and the near-field component.  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 5.5  m.s$^{-1}$. Results are shown on Figure \ref{figGreenAbla} which represents displacement maps between each frame along Z axis 1.0, 1.5, 2.0, 2.5 and 3.0 ms after force application. The displacement maps present many similarities with the experimental results of the Figure \ref{Figure2}: initial displacement is positive only and two half cycles are propagating.