Non-uniqueness of the Quasinormal Mode Expansion of Electromagnetic Lorentz Dispersive Materials

Marc Duruflé 1, 2 Alexandre Gras 3 Philippe Lalanne 3
2 MAGIQUE-3D - Advanced 3D Numerical Modeling in Geophysics
INRIA Futurs, UPPA - Université de Pau et des Pays de l'Adour, CNRS - Centre National de la Recherche Scientifique
Abstract : Any optical structure possesses resonance modes and its response to an excitation can be decomposed onto the quasinormal and numerical modes of discretized Maxwell's operator. In this paper, we consider a dielectric permittivity that is a N-pole Lorentz function of the pulsation $\omega$. We propose a common formalism and obtain different formulas for the modal expansion. The non-uniqueness of the excitation coeffcient is due to a choice of the linearization of Maxwell's equation with respect to $\omega$ and of the form of the source term. We make the link between the numerical discrete modal expansion and analytical formulas that can be found in the literature. We detail the formulation of dispersive Perfectly Matched Layers (PML) in order to keep a linear eigenvalue problem. We also give an algorithm to regain an orthogonal basis for degenerate modes. Numerical results validate the different formulas and compare their accuracy.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

Cited literature [11 references]  Display  Hide  Download

https://hal.inria.fr/hal-02374346
Contributor : Marc Duruflé <>
Submitted on : Thursday, November 21, 2019 - 2:35:12 PM
Last modification on : Tuesday, January 14, 2020 - 1:14:42 AM

File

1910.09429.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-02374346, version 1
  • ARXIV : 1910.09429

Citation

Marc Duruflé, Alexandre Gras, Philippe Lalanne. Non-uniqueness of the Quasinormal Mode Expansion of Electromagnetic Lorentz Dispersive Materials. 2019. ⟨hal-02374346⟩

Share

Metrics

Record views

44

Files downloads

128