A paraxial model for the propagation of light: The boundary value problem for the Schrödinger-advection equation in a tilted frame

Marie Doumic; François Golse; Rémi Sentis

doi:10.1016/S1631-073X(02)00016-X

A paraxial model for the propagation of light: The boundary value problem for the Schrödinger-advection equation in a tilted frame

Titre traduit de la contribution: Un modèle paraxial de propagation de la lumière: Problème aux limites pour l'équation d'advection Schrödinger en coordinnées obliques

Marie Doumic
, François Golse
, Rémi Sentis

UPMC Université de Paris VI
Centre d'Etudes de Limeil-Valenton

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We study the Schrödinger equation which comes from the paraxial approximation of the Helmholtz equation in the case the direction of propagation is tilted with respect to the boundary of the domain. Our primary interest is in the boundary conditions successively in a half-space, then in a quadrant of R². We also sketch a numerical method for this problem.

Titre traduit de la contribution	Un modèle paraxial de propagation de la lumière: Problème aux limites pour l'équation d'advection Schrödinger en coordinnées obliques
langue originale	Anglais
Pages (de - à)	23-28
Nombre de pages	6
journal	Comptes Rendus Mathematique
Volume	336
Numéro de publication	1
Les DOIs	https://doi.org/10.1016/S1631-073X(02)00016-X
état	Publié - 1 janv. 2003

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10.1016/S1631-073X(02)00016-X

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abstract = "We study the Schr{\"o}dinger equation which comes from the paraxial approximation of the Helmholtz equation in the case the direction of propagation is tilted with respect to the boundary of the domain. Our primary interest is in the boundary conditions successively in a half-space, then in a quadrant of R2. We also sketch a numerical method for this problem.",

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A paraxial model for the propagation of light: The boundary value problem for the Schrödinger-advection equation in a tilted frame

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