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Reports (Research Report) Year : 2003

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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Dates and versions

inria-00071810 , version 1 (23-05-2006)

Identifiers

  • HAL Id : inria-00071810 , version 1

Cite

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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