Spectral analysis of polygonal cavities containing a negative-index material - ENSTA Paris - École nationale supérieure de techniques avancées Paris Access content directly
Preprints, Working Papers, ... Year : 2017

Spectral analysis of polygonal cavities containing a negative-index material

Analyse spectrale de cavités polygonales contenant un matériau d'indice négative

Abstract

The purpose of this paper is to investigate the spectral effects of an interface between vacuum and a negative-index material (NIM), that is, a dispersive material whose electric permittivity and magnetic permeability become negative in some frequency range. We consider here an elementary situation, namely, 1) the simplest existing model of NIM : the non dissipative Drude model, for which negativity occurs at low frequencies; 2) a two-dimensional scalar model derived from the complete Maxwell’s equations; 3) the case of a simple bounded cavity: a polygonal domain partially filled with a portion of Drude material. Because of the frequency dispersion (the permittivity and permeability depend on the frequency), the spectral analysis of such a cavity is unusual since it yields a nonlinear eigenvalue problem. Thanks to the use of an additional unknown, we linearize the problem and we present a complete description of the spectrum. We show in particular that the interface between the NIM and vacuum is responsible for various resonance phenomena related to various components of an essential spectrum.
Fichier principal
Vignette du fichier
NIM-HAL.pdf (550.89 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01626868 , version 1 (31-10-2017)
hal-01626868 , version 2 (26-11-2020)

Identifiers

  • HAL Id : hal-01626868 , version 1

Cite

Christophe Hazard, Sandrine Paolantoni. Spectral analysis of polygonal cavities containing a negative-index material. 2017. ⟨hal-01626868v1⟩
551 View
246 Download

Share

Gmail Facebook X LinkedIn More