Mathematical analysis and solution methodology for an inverse spectral problem arising in the design of optical waveguides - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Inverse Problems in Science and Engineering Année : 2018

Mathematical analysis and solution methodology for an inverse spectral problem arising in the design of optical waveguides

Chokri Bekkey
  • Fonction : Auteur
  • PersonId : 880790
Rabia Djellouli
  • Fonction : Auteur
  • PersonId : 863701

Résumé

We analyze mathematically the problem of determining refractive index pro-les from some desired/measured guided waves propagating in optical bers. We establish the uniqueness of the solution of this inverse spectral problem assuming that only one guided mode is known. We then propose an iterative computational procedure for solving numerically the considered inverse spectral problem. Numerical results are presented to illustrate the potential of * corresponding author: rabia.djellouli@csun.edu 1 the proposed regularized Newton algorithm to eciently and accurately retrieve the refractive index proles even when the guided mode measurements are highly noisy.
Fichier principal
Vignette du fichier
main_text.pdf (2.6 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01807247 , version 1 (04-06-2018)

Identifiants

  • HAL Id : hal-01807247 , version 1

Citer

Hélène Barucq, Chokri Bekkey, Rabia Djellouli. Mathematical analysis and solution methodology for an inverse spectral problem arising in the design of optical waveguides. Inverse Problems in Science and Engineering, In press. ⟨hal-01807247⟩
261 Consultations
225 Téléchargements

Partager

Gmail Facebook X LinkedIn More