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

Publiceringsår: 1989
Språk: Engelska
Publikation/Tidskrift/Serie: Technical Report LUTEDX/(TEAT-7005)/1-36/(1989)
Volym: TEAT-7005
Dokumenttyp: Rapport
Förlag: Department of Electromagnetic Theory, Lund Institute of Technology


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



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


  • Electromagnetic theory-lup-obsolete

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