A numerical model for the Raman amplification for laser-plasma interaction

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:193

Article

Colin, M. ; Colin, T.

关键词: Zakharov;    Raman;    computations;   

DOI  :  10.1016/j.cam.2005.05.031

来源: Elsevier

【 摘 要 】

In this paper, we continue the study of the Raman amplification initiated in [M. Colin, T. Colin, On a quasi-linear Zakharov system describing laser-plasma interactions, Differential Integral Equations 17(3-4) (2004) 297-330]. We use a dispersive, quasi-linear system. The quasi-linear part is not hyperbolic and this difficulty is overcome using the dispersion. We give an asymptotic result on a reduced system. We then introduce a simple, robust and efficient numerical scheme on the whole system that takes into account the non-hyperbolicity of the quasi-linear part as well as the nonlinear saturation of the Raman growth. The scheme is validated thanks to the asymptotic result. Finally, we present 1-D and 2-D simulations. (c) 2005 Elsevier B.V. All rights reserved.

【 授权许可】

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