A multi-D model for Raman amplification

Mathieu Colin; Thierry Colin

ESAIM: Mathematical Modelling and Numerical Analysis (2011)

  • Volume: 45, Issue: 1, page 1-22
  • ISSN: 0764-583X

Abstract

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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.

How to cite

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Colin, Mathieu, and Colin, Thierry. "A multi-D model for Raman amplification." ESAIM: Mathematical Modelling and Numerical Analysis 45.1 (2011): 1-22. <http://eudml.org/doc/197594>.

@article{Colin2011,
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. },
author = {Colin, Mathieu, Colin, Thierry},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Raman amplification; Zakharov system; weakly nonlinear theory},
language = {eng},
month = {1},
number = {1},
pages = {1-22},
publisher = {EDP Sciences},
title = {A multi-D model for Raman amplification},
url = {http://eudml.org/doc/197594},
volume = {45},
year = {2011},
}

TY - JOUR
AU - Colin, Mathieu
AU - Colin, Thierry
TI - A multi-D model for Raman amplification
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2011/1//
PB - EDP Sciences
VL - 45
IS - 1
SP - 1
EP - 22
AB - 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.
LA - eng
KW - Raman amplification; Zakharov system; weakly nonlinear theory
UR - http://eudml.org/doc/197594
ER -

References

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  11. N. Hayashi, P.I. Naumkin and P.-N. Pipolo, Smoothing effects for some derivative nonlinear Schrödinger equations. Discrete Contin. Dyn. Syst.5 (1999) 685–695.  
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