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Pol Grasland-Mongrain edited The_absorption_of_the_laser__.tex
over 8 years ago
Commit id: 9e0fc638fd583aacd3789eefa486777e21db3fe2
deletions | additions
diff --git a/The_absorption_of_the_laser__.tex b/The_absorption_of_the_laser__.tex
index 35b441c..ddb7107 100644
--- a/The_absorption_of_the_laser__.tex
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\end{equation}
where $\theta$ is the angle between the applied force and the considered point (r,$\theta$,z), $c_p$ and $c_s$ the compression and shear wave speed respectively, $\tau$ the time and $f_{NF}(t)$ 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.
Displacements are then computed by convoluting
$G_{yz}$ with time and spatial extent of the force
$H_y$ : $H_y (x,y,z,t)$ with $G_{yz}$: $u_z=G_{yz}*H_y$.
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 5.5 m.s$^{-1}$. Results are shown on Figure \ref{figGreen}-(A) 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 normalized displacement maps present many similarities with the low-energy experimental results of the Figure \ref{Figure2}, with a initial central displacement directed outside the medium and the propagation of three half cycles.