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Simon Labrunie - One of the best experts on this subject based on the ideXlab platform.

  • On the harmonic Boltzmannian waves in laser-Plasma Interaction
    Journal of Physics A: Mathematical and General, 2006
    Co-Authors: Mihai Bostan, Simon Labrunie
    Abstract:

    We study the permanent regimes of the reduced Vlasov-Maxwell system for laser-Plasma Interaction. A non-relativistic and two different relativistic models are investigated. We prove the existence of solutions where the distribution function is Boltzmannian and the electromagnetic variables are time-harmonic and circularly polarized.

  • GLOBAL SOLUTIONS FOR THE ONE-DIMENSIONAL VLASOV-MAXWELL SYSTEM FOR LASER-Plasma Interaction
    Mathematical Models and Methods in Applied Sciences, 2006
    Co-Authors: José Carrillo, Simon Labrunie
    Abstract:

    We analyse a reduced 1D Vlasov--Maxwell system introduced recently in the physical literature for studying laser-Plasma Interaction. This system can be seen as a standard Vlasov equation in which the field is split in two terms: an electrostatic field obtained from Poisson's equation and a vector potential term satisfying a nonlinear wave equation. Both nonlinearities in the Poisson and wave equations are due to the coupling with the Vlasov equation through the charge density. We show global existence of weak solutions in the non-relativistic case, and global existence of characteristic solutions in the quasi-relativistic case. Moreover, these solutions are uniquely characterised as fixed points of a certain operator. We also find a global energy functional for the system allowing us to obtain $L^p$-nonlinear stability of some particular equilibria in the periodic setting.

Nicolas Crouseilles - One of the best experts on this subject based on the ideXlab platform.

  • Convergence of a semi-Lagrangian scheme for the reduced Vlasov–Maxwell system for laser–Plasma Interaction
    Numerische Mathematik, 2009
    Co-Authors: Mihai Bostan, Nicolas Crouseilles
    Abstract:

    The subject matter of this paper concerns the numerical approximation of reduced Vlasov–Maxwell models by semi-Lagrangian schemes. Such reduced systems have been introduced recently in the literature for studying the laser–Plasma Interaction. We recall the main existence and uniqueness results on these topics, we present the semi-Lagrangian scheme and finally we establish the convergence of this scheme.

  • Convergence of a semi-Lagrangian scheme for the reduced Vlasov-Maxwell system for laser-Plasma Interaction
    Numerische Mathematik, 2009
    Co-Authors: Mihai Bostan, Nicolas Crouseilles
    Abstract:

    The subject matter of this paper concerns the numerical approximation of reduced Vlasov-Maxwell models by semi-Lagrangian schemes. Such reduced systems have been introduced recently in the literature for studying the laser-Plasma Interaction. We recall the main existence and uniqueness results on these topics, we present the semi-Lagrangian scheme and finally we establish the convergence of this scheme

  • Vlasov laser-Plasma Interaction simulations with a moving grid
    2007
    Co-Authors: Nicolas Crouseilles, Alain Ghizzo, Stéphanie Salmon
    Abstract:

    The present work focuses on the numerical resolution of a reduced $1$D Vlasov-Maxwell system introduced recently in the physical literature for studying laser-Plasma Interaction. This system can be seen as a standard Vlasov equation in which the force term is split into two terms: the classical electrostatic field obtained from the Poisson's equation and a magnetic term evolving through Maxwell's type equations. A semi-Lagrangian code is used to study the Interaction of ultrashort electromagnetic pulse with Plasma; however during the major part of the simulation, many of the grid points are wasted. We then introduce a dynamic mesh which allows us to consider the part of the phase space where the distribution function is not zero.

M Passoni - One of the best experts on this subject based on the ideXlab platform.

  • ion acceleration by superintense laser Plasma Interaction
    Reviews of Modern Physics, 2013
    Co-Authors: A Macchi, M Borghesi, M Passoni
    Abstract:

    Ion acceleration driven by superintense laser pulses is attracting an impressive and steadily increasing effort. Motivations can be found in the potential for a number of foreseen applications and in the perspective to investigate novel regimes as far as available laser intensities will be increasing. Experiments have demonstrated in a wide range of laser and target parameters the generation of multi-MeV proton and ion beams with unique properties such as ultrashort duration, high brilliance and low emittance. In this paper we give an overview of the state-of-the art of ion acceleration by laser pulses as well as an outlook on its future development and perspectives. We describe the main features observed in the experiments, the observed scaling with laser and Plasma parameters and the main models used both to interpret experimental data and to suggest new research directions.

  • ion acceleration by superintense laser Plasma Interaction
    Reviews of Modern Physics, 2013
    Co-Authors: A Macchi, M Borghesi, M Passoni
    Abstract:

    Ion acceleration driven by superintense laser pulses is attracting an impressive and steadily increasing effort. Motivations can be found in the applicative potential and in the perspective to investigate novel regimes as available laser intensities will be increasing. Experiments have demonstrated, over a wide range of laser and target parameters, the generation of multi-MeV proton and ion beams with unique properties such as ultrashort duration, high brilliance, and low emittance. An overview is given of the state of the art of ion acceleration by laser pulses as well as an outlook on its future development and perspectives. The main features observed in the experiments, the observed scaling with laser and Plasma parameters, and the main models used both to interpret experimental data and to suggest new research directions are described.

Victor Malka - One of the best experts on this subject based on the ideXlab platform.

Mihai Bostan - One of the best experts on this subject based on the ideXlab platform.