On well-posedness of some homogenized Drude-Born-Fedorov systems on a bounded domain and applications to metamaterials
type: Item
instance of: scholarly article
title: On well-posedness of some homogenized Drude-Born-Fedorov systems on a bounded domain and applications to metamaterials
zbMATH Open document ID: 1213.35377
author: Pierre-Henri Cocquet
author: P-A Mazet
author: Vincent Mouysset
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2011-02-21T00:00:00Z
review text: The paper deals with a generalized Drude-Born-Fedorov system describing the propagation of electromagnetic waves in chiral materials, where the electric and magnetic fields are assumed to be coupled with the help of the chirality parameter. The generalization is related to the possibility to allow the material parameter, permittivity and permeability, to be not positive definite, as it happens for the so-called metamaterials. An existence and uniqueness result for such system is established under certain assumptions and applications to two models, dielectric-chiral photonic crystals and perfectly matching layers, are presented.
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 78A25
Mathematics Subject Classification ID: 47F05
Mathematics Subject Classification ID: 78A40
zbMATH DE Number: 5853947
zbMATH Keywords: chiral materials
zbMATH Keywords: well-posedness
zbMATH Keywords: perfectly matching layers
zbMATH Keywords: dielectric-chiral photonic crystals
reviewed by: Dmitry Shepelsky
MaRDI profile type: Publication
full work available at URL: j.crma.2010.11.019
OpenAlex ID: W2072162577
cites work: Homogenization of 3D finite photonic crystals with heterogeneous permittivity and permeability
cites work: Perturbation theory for linear operators.
cites work: Complex Riemannian metric and absorbing boundary conditions
cites work: Q4095282
cites work: Symmetric Positive Systems with Boundary Characteristic of Constant Multiplicity
DOI: 10.1016/J.CRMA.2010.11.019
description: scientific article; zbMATH DE number 5853947