Constitutive relations, dissipation and reciprocity for the Maxwell equations in the time domain
(1989) In Technical Report LUTEDX/(TEAT-7005)/1-36/(1989)- Abstract
- The main goal of this paper is to establish general constitutive relations for
the electromagnetic fields E,D,B and H 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 Riemann-Stieltjes type. A review of the classifi-
cation 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 in
detail. Furthermore, an appropriate form of time reversal... (More) - The main goal of this paper is to establish general constitutive relations for
the electromagnetic fields E,D,B and H 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 Riemann-Stieltjes type. A review of the classifi-
cation 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 in
detail. 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:
https://lup.lub.lu.se/record/530161
- author
- Karlsson, Anders LU and Kristensson, Gerhard LU
- organization
- publishing date
- 1989
- type
- Book/Report
- publication status
- published
- subject
- in
- Technical Report LUTEDX/(TEAT-7005)/1-36/(1989)
- pages
- 36 pages
- publisher
- Department of Electromagnetic Theory, Lund Institute of Technology
- report number
- TEAT-7005
- language
- English
- LU publication?
- yes
- additional info
- Published version: J. Electro. Waves Applic., Vol. 6, No. 5/6, pp. 537-551, 1992.
- id
- 22a54717-4c49-4709-8593-24af05ece638 (old id 530161)
- date added to LUP
- 2016-04-04 13:35:58
- date last changed
- 2018-11-21 21:15:01
@techreport{22a54717-4c49-4709-8593-24af05ece638,
abstract = {{The main goal of this paper is to establish general constitutive relations for<br/><br>
the electromagnetic fields E,D,B and H in a time domain setting. The four<br/><br>
basic assumptions of the medium are linearity, invariance to time translations,<br/><br>
causality and continuity. These four assumptions imply that the constitutive<br/><br>
relations are convolutions of Riemann-Stieltjes type. A review of the classifi-<br/><br>
cation of media in bianisotropic, biisotropic, anisotropic and isotropic media,<br/><br>
respectively, is made. Dissipation and reciprocity are defined and the constraints<br/><br>
these concepts make on the constitutive relations are analyzed in<br/><br>
detail. Furthermore, an appropriate form of time reversal and functions of<br/><br>
positive type are introduced and some consequences of these concepts are<br/><br>
showed.}},
author = {{Karlsson, Anders and Kristensson, Gerhard}},
institution = {{Department of Electromagnetic Theory, Lund Institute of Technology}},
language = {{eng}},
number = {{TEAT-7005}},
series = {{Technical Report LUTEDX/(TEAT-7005)/1-36/(1989)}},
title = {{Constitutive relations, dissipation and reciprocity for the Maxwell equations in the time domain}},
url = {{https://lup.lub.lu.se/search/files/6159690/624834.pdf}},
year = {{1989}},
}