The Interaction Picture method for solving the generalized nonlinear Schrödinger equation in optics

Abstract : The “interaction picture” (IP) method is a very promising alternative to Split-Step methods for solving certain type of partial differential equations such as the nonlinear Schrödinger equation used in the simulation of wave propagation in optical fibers. The method exhibits interesting convergence properties and is likely to provide more accurate numerical results than cost comparable Split-Step methods such as the Symmetric Split-Step method. In this work we investigate in detail the numerical properties of the IP method and carry out a precise comparison between the IP method and the Symmetric Split-Step method.
Type de document :
Article dans une revue
ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2016, 50 (4), pp.945-964. 〈10.1051/m2an/2015060 〉
Liste complète des métadonnées

Littérature citée [33 références]  Voir  Masquer  Télécharger

https://hal.archives-ouvertes.fr/hal-00850518
Contributeur : Florian Méhats <>
Soumis le : mercredi 8 juin 2016 - 14:32:36
Dernière modification le : lundi 25 février 2019 - 15:14:09

Fichier

rk4ip.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

Citation

Stéphane Balac, Arnaud Fernandez, Fabrice Mahé, Florian Méhats, Rozenn Texier-Picard. The Interaction Picture method for solving the generalized nonlinear Schrödinger equation in optics. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2016, 50 (4), pp.945-964. 〈10.1051/m2an/2015060 〉. 〈hal-00850518v4〉

Partager

Métriques

Consultations de la notice

711

Téléchargements de fichiers

482