Accéder directement au contenu Accéder directement à la navigation
Article dans une revue

Temporal derivation operator applied on the historic and school case of slab waveguides families eigenvalue equations: another method for computation of variational expressions

Abstract : Starting from the well-known and historic eigenvalue equations describing the behavior of 3-layer and 4-layer slab waveguides, this paper presents another specific analytical framework providing time-laws of evolution of the effective propagation constant associated to such structures, in case of temporal variation of its various geometrical features. So as to develop such kind of time-propagator formulation and related principles, a temporal derivation operator is applied on the studied school case equations, considering then time varying values of all the geometrical characteristics together with the effective propagation constant. Relevant calculations are performed on three different cases. For example, we first investigate the variation of the height of the guiding layer for the family of 3-layer slab waveguides: then, considering the 4-layer slab waveguide’s family, we successively address the variation of its guiding layer and of its first upper cladding. As regards the family of 4-layer waveguides, calculations are performed for two different families of guided modes and light cones. Such another approach yields rigorous new generic analytical relations, easily implementable and highly valuable to obtain and trace all the family of dispersion curves by one single time-integration and one way.
Liste complète des métadonnées

Littérature citée [23 références]  Voir  Masquer  Télécharger

https://hal.archives-ouvertes.fr/hal-02183526
Contributeur : Laurent Jonchère <>
Soumis le : vendredi 2 octobre 2020 - 09:32:43
Dernière modification le : jeudi 15 avril 2021 - 16:15:58

Fichier

Garnier-2019-Temporal derivati...
Fichiers éditeurs autorisés sur une archive ouverte

Licence


Distributed under a Creative Commons Paternité 4.0 International License

Identifiants

Citation

Lucas Garnier, Arthur Doliveira, Fabrice Mahé, Etienne Gaviot, Bruno Bêche. Temporal derivation operator applied on the historic and school case of slab waveguides families eigenvalue equations: another method for computation of variational expressions. European Physical Journal: Applied Physics, EDP Sciences, 2019, 87 (1), pp.10501.1-10501-9. ⟨10.1051/epjap/2019190092⟩. ⟨hal-02183526v2⟩

Partager

Métriques

Consultations de la notice

99

Téléchargements de fichiers

113