Volume 45, Number 1, January-February 2011
|Page(s)||1 - 22|
|Published online||24 June 2010|
A multi-D model for Raman amplification
Université de Bordeaux, IMB, INRIA Bordeaux Sud Ouest, Team MC2,
351 cours de la libération, 33405 Talence Cedex, France. firstname.lastname@example.org; email@example.com
Revised: 18 July 2009
Revised: 25 November 2009
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.
Mathematics Subject Classification: 35Q55 / 35Q60 / 78A60 / 74S20
Key words: Raman amplification / Zakharov system / weakly nonlinear theory
© EDP Sciences, SMAI, 2010
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