Raman laser: mathematical and numerical analysis of a model
François Castella; Philippe Chartier; Erwan Faou; Dominique Bayart; Florence Leplingard; Catherine Martinelli
ESAIM: Mathematical Modelling and Numerical Analysis (2010)
- Volume: 38, Issue: 3, page 457-475
- ISSN: 0764-583X
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topCastella, François, et al. "Raman laser: mathematical and numerical analysis of a model." ESAIM: Mathematical Modelling and Numerical Analysis 38.3 (2010): 457-475. <http://eudml.org/doc/194223>.
@article{Castella2010,
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 good stability.
},
author = {Castella, François, Chartier, Philippe, Faou, Erwan, Bayart, Dominique, Leplingard, Florence, Martinelli, Catherine},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Optical device; Raman gain; Poisson system; integro-differential equations.; Lotka-Volterra system; Poisson brackets},
language = {eng},
month = {3},
number = {3},
pages = {457-475},
publisher = {EDP Sciences},
title = {Raman laser: mathematical and numerical analysis of a model},
url = {http://eudml.org/doc/194223},
volume = {38},
year = {2010},
}
TY - JOUR
AU - Castella, François
AU - Chartier, Philippe
AU - Faou, Erwan
AU - Bayart, Dominique
AU - Leplingard, Florence
AU - Martinelli, Catherine
TI - Raman laser: mathematical and numerical analysis of a model
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 38
IS - 3
SP - 457
EP - 475
AB -
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.
LA - eng
KW - Optical device; Raman gain; Poisson system; integro-differential equations.; Lotka-Volterra system; Poisson brackets
UR - http://eudml.org/doc/194223
ER -
References
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- M. Rini, I. Christiani and V. Degiorgio, Numerical modeling and optimization of cascaded Raman fiber lasers. IEEE Journal of Quantum Electronics36 (2000) 1117–1122.
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