A multi-D model for Raman amplification
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 45 (2011) no. 1, pp. 1-22.

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.

DOI : 10.1051/m2an/2010037
Classification : 35Q55, 35Q60, 78A60, 74S20
Mots-clés : Raman amplification, Zakharov system, weakly nonlinear theory 
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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. http://www.numdam.org/articles/10.1051/m2an/2010037/

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