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Pol Grasland-Mongrain edited When_a_laser_beam_of__1.tex
over 8 years ago
Commit id: 07c59ecce2f419590c6ff5f06f125bc916221073
deletions | additions
diff --git a/When_a_laser_beam_of__1.tex b/When_a_laser_beam_of__1.tex
index 999eccf..83cadd7 100644
--- a/When_a_laser_beam_of__1.tex
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\rho C \frac{\partial T}{\partial t} = k \nabla ^2 T + q
\label{eq:eqChaleur}
\end{equation}
where $\rho$ is the density,
$\kappa$ the thermal diffusivity and $C$ the heat
capacity. capacity and $\kappa$ the thermal diffusivity.
The thermal diffusion path, equal to $\sqrt{4\kappa t}$, with $t$ the laser emission duration, is equal to 0.1 $\mu$m. As $\gamma^{-1} \gg \sqrt{4\kappa t}$, propagation of heat is negligible during laser emission, and term $k \nabla ^2 T$ can be neglected in equation \ref{eq:eqChaleur}. Combination with equation \ref{eq:opticalIntensity} and integration over time lead then to a temperature $T$ at the end of the laser emission:
\begin{equation}
...