Hydrodynamic Impacts of Short Laser Pulses on Plasmas

Gaetano Fiore, Monica De Angelis, Renato Fedele, Gabriele Guerriero and Dušan Jovanović
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Gaetano Fiore: Department di Matematica e Applicazioni, Università di Napoli “Federico II”, Complesso Universitario M. S. Angelo, Via Cintia, 80126 Napoli, Italy
Monica De Angelis: Department di Matematica e Applicazioni, Università di Napoli “Federico II”, Complesso Universitario M. S. Angelo, Via Cintia, 80126 Napoli, Italy
Renato Fedele: INFN, Sezione di Napoli, Complesso MSA, Via Cintia, 80126 Napoli, Italy
Gabriele Guerriero: Department di Matematica e Applicazioni, Università di Napoli “Federico II”, Complesso Universitario M. S. Angelo, Via Cintia, 80126 Napoli, Italy
Dušan Jovanović: Institute of Physics, University of Belgrade, 11080 Belgrade, Serbia

Mathematics, 2022, vol. 10, issue 15, 1-26

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

Keywords: plasma hydrodynamics; non-autonomous Hamilton equations; Liapunov function; relativistic electrodynamics; plasma wave; wave-breaking (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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