| Issue |
ESAIM: M2AN
Volume 38, Number 3, May-June 2004
|
|
|---|---|---|
| Page(s) | 457 - 475 | |
| DOI | https://doi.org/10.1051/m2an:2004022 | |
| Published online | 15 June 2004 | |
Raman laser: mathematical and numerical analysis of a model
1
IRMAR, Université de Rennes 1, Campus Beaulieu, 35042 Rennes Cedex, France. Francois.Castella@univ-rennes1.fr.
2
INRIA Rennes, Campus Beaulieu, 35042 Rennes Cedex, France. Philippe.Chartier@irisa.fr.; Erwan.Faou@irisa.fr.
3
ALCATEL Research & Innovation, Unité Transmissions Photoniques, Route de Nozay, 91460 Marcoussis, France. Dominique.Bayart@alcatel.fr.; Florence.Leplingard@alcatel.fr.; Catherine.Martinelli@alcatel.fr.
Received:
29
July
2003
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.
Mathematics Subject Classification: 65L10 / 65L20
Key words: Optical device / Raman gain / Poisson system / integro-differential equations.
© EDP Sciences, SMAI, 2004
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.