# A multi-D model for Raman amplification

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

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topColin, Mathieu, and Colin, Thierry. "A multi-D model for Raman amplification." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 45.1 (2011): 1-22. <http://eudml.org/doc/273238>.

@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 - Modélisation Mathématique et Analyse Numérique},

keywords = {Raman amplification; Zakharov system; weakly nonlinear theory},

language = {eng},

number = {1},

pages = {1-22},

publisher = {EDP-Sciences},

title = {A multi-D model for Raman amplification},

url = {http://eudml.org/doc/273238},

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 - Modélisation Mathématique et Analyse Numérique

PY - 2011

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/273238

ER -

## References

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