# Mathematical models for laser-plasma interaction

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- Volume: 39, Issue: 2, page 275-318
- ISSN: 0764-583X

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topSentis, Rémi. "Mathematical models for laser-plasma interaction." ESAIM: Mathematical Modelling and Numerical Analysis 39.2 (2010): 275-318. <http://eudml.org/doc/194263>.

@article{Sentis2010,

abstract = {
We address here mathematical models related to the Laser-Plasma Interaction. After a simplified
introduction to the physical background concerning the modelling of the laser
propagation and its interaction with a plasma, we recall some classical results about the geometrical optics in plasmas. Then we deal with the well known paraxial approximation of the solution of the Maxwell equation; we state a coupling model between the plasma hydrodynamics and the laser propagation. Lastly, we consider the coupling with the ion acoustic waves which has to be taken into account to model the so called Brillouin instability. Here, besides the
macroscopic density and the velocity of the plasma, one has to handle the
space-time envelope of the main laser wave, the space-time envelope of the
stimulated Brillouin backscattered laser wave and the space envelope of the Brillouin ion acoustic waves. Numerical methods are also described to deal with the paraxial model and the three-wave coupling system related to the Brillouin instability.
},

author = {Sentis, Rémi},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Euler-Maxwell system; numerical plasma simulation;
geometrical optics; paraxial approximation; Schrödinger equation; three-wave coupling system; Brillouin instability.; Maxwell equation; plasma hydrodynamics; laser propagation; Brillouin instability},

language = {eng},

month = {3},

number = {2},

pages = {275-318},

publisher = {EDP Sciences},

title = {Mathematical models for laser-plasma interaction},

url = {http://eudml.org/doc/194263},

volume = {39},

year = {2010},

}

TY - JOUR

AU - Sentis, Rémi

TI - Mathematical models for laser-plasma interaction

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2010/3//

PB - EDP Sciences

VL - 39

IS - 2

SP - 275

EP - 318

AB -
We address here mathematical models related to the Laser-Plasma Interaction. After a simplified
introduction to the physical background concerning the modelling of the laser
propagation and its interaction with a plasma, we recall some classical results about the geometrical optics in plasmas. Then we deal with the well known paraxial approximation of the solution of the Maxwell equation; we state a coupling model between the plasma hydrodynamics and the laser propagation. Lastly, we consider the coupling with the ion acoustic waves which has to be taken into account to model the so called Brillouin instability. Here, besides the
macroscopic density and the velocity of the plasma, one has to handle the
space-time envelope of the main laser wave, the space-time envelope of the
stimulated Brillouin backscattered laser wave and the space envelope of the Brillouin ion acoustic waves. Numerical methods are also described to deal with the paraxial model and the three-wave coupling system related to the Brillouin instability.

LA - eng

KW - Euler-Maxwell system; numerical plasma simulation;
geometrical optics; paraxial approximation; Schrödinger equation; three-wave coupling system; Brillouin instability.; Maxwell equation; plasma hydrodynamics; laser propagation; Brillouin instability

UR - http://eudml.org/doc/194263

ER -

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