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Constitutive relations, dissipation and reciprocity for the Maxwell equations in the time domain

Karlsson, Anders LU and Kristensson, Gerhard LU (1992) In Journal Electromagnetic Waves and Applications 6(5-6). p.537-551
Abstract
The main goal of this paper is to establish general constitutive relations for the electromagnetic fields EBAR, DBAR, BBAR, and HBAR in a time domain setting. The four basic assumptions of the medium are linearity, invariance to time translations, causality, and continuity. These four assumptions imply that the constitutive relations are convolutions of the Riemann-Stieltjes type. A review of the classification of media in bianisotropic, biisotropic, anisotropic, and isotropic media, respectively, is made. Dissipation and reciprocity are defined and the constraints these concepts make on the constitutive relations are analyzed. Furthermore, an appropriate form of time reversal and functions of positive type are introduced and some... (More)
The main goal of this paper is to establish general constitutive relations for the electromagnetic fields EBAR, DBAR, BBAR, and HBAR in a time domain setting. The four basic assumptions of the medium are linearity, invariance to time translations, causality, and continuity. These four assumptions imply that the constitutive relations are convolutions of the Riemann-Stieltjes type. A review of the classification of media in bianisotropic, biisotropic, anisotropic, and isotropic media, respectively, is made. Dissipation and reciprocity are defined and the constraints these concepts make on the constitutive relations are analyzed. Furthermore, an appropriate form of time reversal and functions of positive type are introduced and some consequences of these concepts are showed. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal Electromagnetic Waves and Applications
volume
6
issue
5-6
pages
537 - 551
publisher
VSP BV
external identifiers
  • scopus:0000953784
ISSN
1569-3937
DOI
10.1163/156939392X01309
language
English
LU publication?
yes
id
b6d2ed92-1029-4da5-bf70-63eea20806dd (old id 144383)
date added to LUP
2007-07-06 12:11:37
date last changed
2017-01-01 04:55:33
@article{b6d2ed92-1029-4da5-bf70-63eea20806dd,
  abstract     = {The main goal of this paper is to establish general constitutive relations for the electromagnetic fields EBAR, DBAR, BBAR, and HBAR in a time domain setting. The four basic assumptions of the medium are linearity, invariance to time translations, causality, and continuity. These four assumptions imply that the constitutive relations are convolutions of the Riemann-Stieltjes type. A review of the classification of media in bianisotropic, biisotropic, anisotropic, and isotropic media, respectively, is made. Dissipation and reciprocity are defined and the constraints these concepts make on the constitutive relations are analyzed. Furthermore, an appropriate form of time reversal and functions of positive type are introduced and some consequences of these concepts are showed.},
  author       = {Karlsson, Anders and Kristensson, Gerhard},
  issn         = {1569-3937},
  language     = {eng},
  number       = {5-6},
  pages        = {537--551},
  publisher    = {VSP BV},
  series       = {Journal Electromagnetic Waves and Applications},
  title        = {Constitutive relations, dissipation and reciprocity for the Maxwell equations in the time domain},
  url          = {http://dx.doi.org/10.1163/156939392X01309},
  volume       = {6},
  year         = {1992},
}