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A multi-D model for Raman amplification

Published online by Cambridge University Press:  24 June 2010

Mathieu Colin  and
Thierry Colin
Mathieu Colin
Affiliation:
Université de Bordeaux, IMB, INRIA Bordeaux Sud Ouest, Team MC2, 351 cours de la libération, 33405 Talence Cedex, France. mcolin@math.u-bordeaux1.fr; colin@math.u-bordeaux1.fr
Thierry Colin
Affiliation:
Université de Bordeaux, IMB, INRIA Bordeaux Sud Ouest, Team MC2, 351 cours de la libération, 33405 Talence Cedex, France. mcolin@math.u-bordeaux1.fr; colin@math.u-bordeaux1.fr
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Abstract

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.

Keywords

Raman amplificationZakharov systemweakly nonlinear theory
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 45 , Issue 1 , January 2011 , pp. 1 - 22
Copyright
© EDP Sciences, SMAI, 2010

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