Numerical coupling of Landau damping and Raman amplification

Radoin Belaouar (1, 2) , Thierry Colin (1, 2) , Gérard Gallice (3)

1 IMB - Institut de Mathématiques de Bordeaux
2 MC2 - Modélisation, contrôle et calcul
3 DAM/DIF - DAM Île-de-France

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.

Mots clés: Landau Damping; Raman instability; Numerical simulations; Zakharov systems; Stability

Domaines: Modélisation et simulation

Radoin Belaouar, Thierry Colin, Gérard Gallice. Numerical coupling of Landau damping and Raman amplification. 2007. ⟨hal-00133667⟩