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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 },
pages = {1--22},
publisher = {EDP-Sciences},
volume = {45},
number = {1},
year = {2011},
doi = {10.1051/m2an/2010037},
mrnumber = {2781129},
zbl = {06183193},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an/2010037/}
}
TY - JOUR AU - Colin, Mathieu AU - Colin, Thierry TI - A multi-D model for Raman amplification JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2011 SP - 1 EP - 22 VL - 45 IS - 1 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/m2an/2010037/ DO - 10.1051/m2an/2010037 LA - en ID - M2AN_2011__45_1_1_0 ER -
%0 Journal Article %A Colin, Mathieu %A Colin, Thierry %T A multi-D model for Raman amplification %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2011 %P 1-22 %V 45 %N 1 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/m2an/2010037/ %R 10.1051/m2an/2010037 %G en %F M2AN_2011__45_1_1_0
Colin, Mathieu; Colin, Thierry. A multi-D model for Raman amplification. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 45 (2011) no. 1, pp. 1-22. doi: 10.1051/m2an/2010037
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