Completeness and divergence-free behavior of the quasi-normal modes using causality principle - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue OSA Continuum Année : 2018

Completeness and divergence-free behavior of the quasi-normal modes using causality principle

M. Ismail Abdelrahman
  • Fonction : Auteur
Boris Gralak

Résumé

A fundamental feature of the quasi-normal modes (QNMs), which describe light interaction with open (leaky) systems like nanoparticles, lies in the question of the completeness of the QNMs representation and in the divergence of their field profile due to their leaky behavior and complex eigenfrequency. In this article, the QNMs expansion is obtained by taking into consideration the frequency dispersion and the causality principle. The derivation based on the complex analysis ensures the completeness of the QNMs expansion and prevents from any divergence of the field profile. The general derivation is tested in the case of a one-dimensional open resonator made of a homogeneous absorptive medium with frequency dispersion given by the Lorentz model. For a harmonic excitation, the result of the QNMs expansion perfectly matches the exact formula for the field distribution outside as well as inside the resonator.
Fichier principal
Vignette du fichier
osac-1-2-340.pdf (2.62 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01907012 , version 1 (12-02-2020)

Identifiants

Citer

M. Ismail Abdelrahman, Boris Gralak. Completeness and divergence-free behavior of the quasi-normal modes using causality principle. OSA Continuum, 2018, 1 (2), ⟨10.1364/OSAC.1.000340⟩. ⟨hal-01907012⟩
75 Consultations
89 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More