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Numerical coupling of Landau damping and Raman amplification
Radoin Belaouar 1, 2, Thierry Colin 1, 2, Gérard Gallice 3
(2007-02-27)

In this paper, we present a numerical model for laser-plasma interaction involving Raman instability and Landau damping. This model exhibits three main difficulties. The first one is the coupling of PDE's posed both in Fourier space and in physical space. The second one is a three wave resonance condition that has to be verified. The third one is the boundary conditions. We overcome these difficulties using respectively a splitting scheme, a numerical dispersion relation and absorbing boundary conditions. We present some comparison between several phenomena that are involved and the influence of the Raman amplification and the Landau damping.
1:  Institut de Mathématiques de Bordeaux (IMB)
CNRS : UMR5251 – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II
2:  MC2 (INRIA Futurs)
INRIA – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II
3:  Direction des applications militaires (CEA/DAM)
CEA
Computer Science/Modeling and Simulation
Landau Damping – Raman instability – Numerical simulations – Zakharov systems – Stability
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