Hydrodynamic Impacts of Short Laser Pulses on Plasmas

We determine conditions allowing for simplification of the description impact a short and arbitrarily intense laser pulse onto cold plasma at rest. If both initial density profile have plane symmetry, then suitable matched upper bounds on maximum relative variations density, as well intensity duration pulse, ensure strictly hydrodynamic evolution electron fluid without wave-breaking or vacuum-heating during its whole interaction with while ions can be regarded immobile. use recently developed fully relativistic model whereby system Lorentz–Maxwell continuity PDEs is reduced into family highly nonlinear but decoupled systems non-autonomous Hamilton equations one degree freedom, light-like coordinate ξ=ct−z instead time t an independent variable, new priori estimates (eased by Liapunov function) solutions in terms input data (i.e., profile). spot radius R finite not too small, same conclusions hold part close to axis z→ cylindrical symmetry. These results may help drastically simplifying study extreme acceleration mechanisms electrons.