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

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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 and functions of
positive type are introduced and some consequences of these concepts are
showed.
Original languageEnglish
PublisherDepartment of Electromagnetic Theory, Lund Institute of Technology
Number of pages36
VolumeTEAT-7005
Publication statusPublished - 1989

Publication series

NameTechnical Report LUTEDX/(TEAT-7005)/1-36/(1989)
VolumeTEAT-7005

Bibliographical note

Published version: J. Electro. Waves Applic., Vol. 6, No. 5/6, pp. 537-551, 1992.

Subject classification (UKÄ)

  • Other Electrical Engineering, Electronic Engineering, Information Engineering
  • Electrical Engineering, Electronic Engineering, Information Engineering

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