deletions | additions       diff --git a/Shear_wave_amplitude_has_been__.tex b/Shear_wave_amplitude_has_been__.tex  index 1dbffc8..018b844 100644  --- a/Shear_wave_amplitude_has_been__.tex  +++ b/Shear_wave_amplitude_has_been__.tex 
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%Shear wave amplitude has been shown to be linearly dependent on laser beam power in thermoelastic and ablative regime. However, at higher amplitude (about 10$^9$ W.cm$^{-2}$ in metals \cite{scruby1990laser}), a plasma occurs and lead to a non-linear amplitude of the displacement with laser energy.  The dependence of the generated shear waves wave amplitude  with laser energy has been investigated by increasing the laser beam energy from 10 to 200 mJ. To decrease noise influence, amplitude have been averaged over six experiments from 10 to 50 mJ, four experiments from 60 to 90 mJ, and two experiments from 100 to 200 mJ.  Results are illustrated in Figure \ref{Figure3}-(A). We observe an linear relationship between shear wave two regimes: one of low  amplitude between 10  and laser beam power 70 mJ with a regression fit $y = 1.10^{-3}x$ (R$^2$ = 0.82); and a second one  between 50 80  and 200 mJ, mJ  with a correlation coefficient of 0.9745. At energies smaller than 50 mJ, shear wave amplitude (without averaging) becomes smaller than ambient noise: 50 regression fit $y = 7.10^{-3}x -0.5$ (R$^2$ = 0.96). up to six times 70  mJ (two times between  is probably the threshold in our experimental conditions to get an ablative regime giving rise to a shear wave.