Exact zero transmission during the Fano resonance phenomenon in non symmetric waveguides - INRIA - Institut National de Recherche en Informatique et en Automatique Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2019

Exact zero transmission during the Fano resonance phenomenon in non symmetric waveguides

Résumé

We investigate a time-harmonic wave problem in a waveguide. We work at low frequency so that only one mode can propagate. It is known that the scattering matrix exhibits a rapid variation for real frequencies in a vicinity of a complex resonance located close to the real axis. This is the so-called Fano resonance phenomenon. And when the geometry presents certain properties of symmetry, there are two different real frequencies such that we have either R = 0 or T = 0, where R and T denote the reflection and transmission coefficients. In this work, we prove that without the assumption of symmetry of the geometry, quite surprisingly, there is always one real frequency for which we have T = 0. In this situation, all the energy sent in the waveguide is backscattered. However in general, we do not have R = 0 in the process. We provide numerical results to illustrate our theorems.
Fichier principal
Vignette du fichier
ChNa.pdf (765.6 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02189311 , version 1 (19-07-2019)
hal-02189311 , version 2 (21-12-2020)

Identifiants

  • HAL Id : hal-02189311 , version 1

Citer

Lucas Chesnel, Sergei Nazarov. Exact zero transmission during the Fano resonance phenomenon in non symmetric waveguides. 2019. ⟨hal-02189311v1⟩
129 Consultations
252 Téléchargements

Partager

Gmail Facebook X LinkedIn More