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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.
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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


  • HAL Id : inria-00071810, version 1


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⟩



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