Constitutive relations, dissipation and reciprocity for the Maxwell equations in the time domain
Författare
Summary, in English
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.
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.
Publiceringsår
1989
Språk
Engelska
Publikation/Tidskrift/Serie
Technical Report LUTEDX/(TEAT-7005)/1-36/(1989)
Fulltext
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Dokumenttyp
Rapport
Förlag
Department of Electromagnetic Theory, Lund Institute of Technology
Ämne
- Other Electrical Engineering, Electronic Engineering, Information Engineering
- Electrical Engineering, Electronic Engineering, Information Engineering
Status
Published
Report number
TEAT-7005
Forskningsgrupp
- Electromagnetic theory