Raman Laser Modeling: Mathematical and Numerical Analysis

François Castella; Philippe Chartier; Erwan Faou; Dominique Bayart; Florence Leplingard; Catherine Martinelli

inria-00071810, version 1

Raman Laser Modeling: Mathematical and Numerical Analysis

François Castella () ¹, Philippe Chartier ()^a^, 2, Erwan Faou ()^a^, 2, Dominique Bayart ³, Florence Leplingard ³, Catherine Martinelli ³

N° RR-4776 (2003)

Résumé : 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 more stability than the standard shooting methods.

a – INRIA
1 : Institut de Recherche Mathématique de Rennes (IRMAR)
CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne
2 : ALADIN (INRIA - IRISA)
CNRS : UMR6074 – INRIA – Institut National des Sciences Appliquées (INSA) - Rennes – Université de Rennes 1
3 : Alcatel Research & Innovation Center
ALCATEL

inria-00071810, version 1
http://hal.inria.fr/inria-00071810
oai:hal.inria.fr:inria-00071810
Contributeur : Rapport De Recherche Inria <>
Soumis le : Mardi 23 Mai 2006, 18:51:29
Dernière modification le : Mercredi 6 Mars 2013, 15:14:07

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