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Pol Grasland-Mongrain edited The_absorption_of_the_laser__.tex
over 8 years ago
Commit id: 494fbd7224b5ace576a51f5c8897f8c26e0ad36b
deletions | additions
diff --git a/The_absorption_of_the_laser__.tex b/The_absorption_of_the_laser__.tex
index ddb7107..075dd10 100644
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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
along Z are then
computed by convoluting equal to the convolution between the time and spatial extent of the force $H_y (x,y,z,t)$ with
$G_{yz}$: $u_z=G_{yz}*H_y$. $G_{yz}$.
The Using a medium density $\rho$
was taken equal to of 1000 kg.m$^{-3}$,
the a compression wave speed
to of 1500 m.s$^{-1}$ and
the a shear wave speed
to of 5.5
m.s$^{-1}$. m.s$^{-1}$, we calculated the displacements along Z. Results are shown on Figure \ref{figGreen}-(A) which represents displacement maps
between each frame along Z axis
between each frame, 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.