In this paper, we continue the study of the Raman amplification in plasmas that we initiated in [Colin and Colin, Diff. Int. Eqs. 17 (2004) 297-330; Colin and Colin, J. Comput. Appl. Math. 193 (2006) 535-562]. We point out that the Raman instability gives rise to three components. The first one is collinear to the incident laser pulse and counter propagates. In 2-D, the two other ones make a non-zero angle with the initial pulse and propagate forward. Furthermore they are symmetric with respect to the direction of propagation of the incident pulse. We construct a non-linear system taking into account all these components and perform some 2-D numerical simulations.
@article{M2AN_2011__45_1_1_0,
author = {Colin, Mathieu and Colin, Thierry},
title = {A multi-D model for Raman amplification},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
volume = {45},
year = {2011},
pages = {1-22},
doi = {10.1051/m2an/2010037},
mrnumber = {2781129},
zbl = {06183193},
language = {en},
url = {http://dml.mathdoc.fr/item/M2AN_2011__45_1_1_0}
}
Colin, Mathieu; Colin, Thierry. A multi-D model for Raman amplification. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 45 (2011) pp. 1-22. doi : 10.1051/m2an/2010037. http://gdmltest.u-ga.fr/item/M2AN_2011__45_1_1_0/
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