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Raman laser: mathematical and numerical analysis of a model

  • François Castella (a1), Philippe Chartier (a2), Erwan Faou (a2), Dominique Bayart (a3), Florence Leplingard (a3) and Catherine Martinelli (a3)...

Abstract

In this paper we study a discrete Raman laser amplification model given as a Lotka-Volterra system. We show that in an ideal situation, the equations can be written as a Poisson system with boundary conditions using a global change of coordinates. We address the questions of existence and uniqueness of a solution. We deduce numerical schemes for the approximation of the solution that have good stability.

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[6] Kidorf, H., Rottwitt, K., Nissov, M., Ma, M. and Rabarijaona, E., Pump Interactions in a 100-nm Bandwidth Raman Amplifier. IEEE Photonics Technology Letters 11 (1999) 530532.
[7] Pocholle, J., Papuchon, M., Raffy, J. and Desurvire, E., Non linearities and optical amplification in single mode fibers. Revue Technique Thomson-CSF 22 (1990) 187268.
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Keywords

Raman laser: mathematical and numerical analysis of a model

  • François Castella (a1), Philippe Chartier (a2), Erwan Faou (a2), Dominique Bayart (a3), Florence Leplingard (a3) and Catherine Martinelli (a3)...

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