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

Marie Doumic
, François Golse
, Rémi Sentis

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Translated title of the contribution	Un modèle paraxial de propagation de la lumière: Problème aux limites pour l'équation d'advection Schrödinger en coordinnées obliques
Original language	English
Pages (from-to)	23-28
Number of pages	6
Journal	Comptes Rendus Mathematique
Volume	336
Issue number	1
DOIs	https://doi.org/10.1016/S1631-073X(02)00016-X
Publication status	Published - 1 Jan 2003

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title = "A paraxial model for the propagation of light: The boundary value problem for the Schr{\"o}dinger-advection equation in a tilted frame",

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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AB - 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.

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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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