deletions | additions       diff --git a/Dependance with beam power.tex b/Dependance with beam power.tex  index 018b844..477ee35 100644  --- a/Dependance with beam power.tex  +++ b/Dependance with beam power.tex 
...
%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 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 oversix experiments from 10 to 50 mJ,  four experiments from 60 for each energy level. Successive energy levels were randomly chosen  to 90 mJ, avoid any time-related bias  and two experiments from 100 impact location was changed  to 200 mJ. Results are illustrated in Figure \ref{Figure3}-(A). We observe two regimes: one avoid local degradation  of low the medium. Shear wave  amplitude were measured  between 10 and 70 mJ with a regression fit $y = 1.10^{-3}x$ (R$^2$ = 0.82); and a second one between 80 0  and 200 mJ 10 mm of the medium surface, an arbitrary location where shear waves had high amplitudes. Resulting amplitude is illustrated in Figure \ref{Figure4}-(A). A linear dependence is observed,  with aregression 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 at low amplitude due  to a shear wave. ambient noise.