Maxwell solvers for the simulations of the laser-matter interaction

Rachel Nuter; Mickael Grech; Pedro Gonzalez de Alaiza Martinez; Guy Bonnaud; Emmanuel d’Humières

doi:10.1140/epjd/e2014-50162-y

2021 Impact factor 1.611

Atomic, Molecular, Optical and Plasma Physics

Topical issue: Theory and Applications of the Vlasov Equation. Guest editors: Francesco Pegoraro, Francesco Califano, Giovanni Manfredi and Philip J. Morrison

Eur. Phys. J. D (2014) 68: 177
https://doi.org/10.1140/epjd/e2014-50162-y

Regular Article

Maxwell solvers for the simulations of the laser-matter interaction^*

Rachel Nuter¹^a, Mickael Grech², Pedro Gonzalez de Alaiza Martinez³, Guy Bonnaud⁴ and Emmanuel d’Humières¹

¹ Université Bordeaux, CNRS, CEA, CELIA, UMR 5107, 33405 Talence, France
² LULI, Université Pierre et Marie Curie, Ecole Polytechnique, CNRS, CEA, 75252 Paris, France
³ CEA DAM DIF, 91297 Arpajon, France
⁴ INSTN and IRAMIS/LIDyL, CEA-Saclay, 91191 Gif-sur-Yvette Cedex, France

^a e-mail: nuter@celia.u-bordeaux1.fr

Received: 28 February 2014
Received in final form: 14 April 2014
Published online: 27 June 2014

Abstract

With the advent of high intensity laser beams, solving the Maxwell equations with a free-dispersive algorithm is becoming essential. Several Maxwell solvers, implemented in Particle-In-Cell codes, have been proposed. We present here some of them by describing their computational stencil in two-dimensional geometry and defining their stability area as well as their numerical dispersion relation. Numerical simulations of Backward Raman amplification and laser wake-field are presented to compare these different solvers.

Contribution to the Topical Issue “Theory and Applications of the Vlasov Equation”, edited by Francesco Pegoraro, Francesco Califano, Giovanni Manfredi and Philip J. Morrison.

© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2014