Matched asymptotics approach to the construction and justification of reduced graph models for 3D Maxwell's equations in networks of thin co-axial cables - ENSTA Paris - École nationale supérieure de techniques avancées Paris Accéder directement au contenu
Communication Dans Un Congrès Année : 2015

Matched asymptotics approach to the construction and justification of reduced graph models for 3D Maxwell's equations in networks of thin co-axial cables

Résumé

We consider electromagnetic wave propagation in domains constituted by thin coaxial cables (made of a dielectric material which surrounds a metallic inner-wire) and a small junction. The goal is to trim down 3D Maxwell's equations in this complicated geometry to a quantum graph (see [3]) in which, along each edge, one is reduced to compute the electrical potential and current a by solving wave equations (the teleg-rapher's model) coupled by vertex conditions. In this work, using the method of matched asymp-totics, we propose improved Kirchhoff conditions and we give a rigorous justification of such a model reduction.
Fichier principal
Vignette du fichier
Waves -beck-v2.pdf (491.76 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02088458 , version 1 (02-04-2019)

Identifiants

  • HAL Id : hal-02088458 , version 1

Citer

Geoffrey Beck, Sebastien Imperiale, Patrick Joly. Matched asymptotics approach to the construction and justification of reduced graph models for 3D Maxwell's equations in networks of thin co-axial cables. 12th International Conference on Mathematical and Numerical Aspects of Waves (Waves 2015), Department of Mathematics at Karlsruhe Institute of Technology (KIT), Jul 2015, Karlsruhe, Germany. ⟨hal-02088458⟩
101 Consultations
28 Téléchargements

Partager

Gmail Facebook X LinkedIn More