HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Reports

Raman Laser Modeling: Mathematical and Numerical Analysis

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 more stability than the standard shooting methods.
Document type :
Reports
Complete list of metadata

https://hal.inria.fr/inria-00071810
Contributor : Rapport de Recherche Inria Connect in order to contact the contributor
Submitted on : Tuesday, May 23, 2006 - 6:51:29 PM
Last modification on : Friday, May 20, 2022 - 9:04:45 AM
Long-term archiving on: : Tuesday, February 22, 2011 - 12:01:18 PM

Identifiers

  • HAL Id : inria-00071810, version 1

Citation

François Castella, Philippe Chartier, Erwan Faou, Dominique Bayart, Florence Leplingard, et al.. Raman Laser Modeling: Mathematical and Numerical Analysis. [Research Report] RR-4776, INRIA. 2003. ⟨inria-00071810⟩

Share

Metrics

Record views

412

Files downloads

169