A MULTI-D MODEL FOR RAMAN AMPLIFICATION

作者：Colin Mathieu^*; Colin Thierry

来源：ESAIM: Mathematical Modelling and Numerical Analysis , 2011, 45(1): 1-22.

DOI：10.1051/m2an/2010037

• Raman amplification
• Zakharov system
• weakly nonlinear theory

In this paper, we continue the study of the Raman amplification in plasmas that we initiated in [Colin and Cohn, Diff, Tat. Eqs. 17 (2004) 297-330; Cohn 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.

• 出版日期2011-2
• 单位INRIA