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

Karlsson, Anders LU and Kristensson, Gerhard LU (1989) In Technical Report LUTEDX/(TEAT-7005)/1-36/(1989) TEAT-7005.
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)
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organization
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Book/Report
publication status
published
subject
in
Technical Report LUTEDX/(TEAT-7005)/1-36/(1989)
volume
TEAT-7005
pages
36 pages
publisher
[Publisher information missing]
language
English
LU publication?
yes
id
22a54717-4c49-4709-8593-24af05ece638 (old id 530161)
date added to LUP
2007-09-07 10:43:08
date last changed
2016-08-05 13:13:38
@misc{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},
  language     = {eng},
  pages        = {36},
  publisher    = {ARRAY(0x9990658)},
  series       = {Technical Report LUTEDX/(TEAT-7005)/1-36/(1989)},
  title        = {Constitutive relations, dissipation and reciprocity for the Maxwell equations in the time domain},
  volume       = {TEAT-7005},
  year         = {1989},
}