Constitutive relations, dissipation and reciprocity for the Maxwell equations in the time domain
(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:
https://lup.lub.lu.se/record/144383
- author
- Karlsson, Anders LU and Kristensson, Gerhard LU
- organization
- publishing date
- 1992
- 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
- 2016-04-01 12:11:36
- date last changed
- 2021-01-03 05:01:19
@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}}, doi = {{10.1163/156939392X01309}}, volume = {{6}}, year = {{1992}}, }