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

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Author

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.

Publishing year

1989

Language

English

Publication/Series

Technical Report LUTEDX/(TEAT-7005)/1-36/(1989)

Document type

Report

Publisher

Department of Electromagnetic Theory, Lund Institute of Technology

Topic

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

Status

Published

Report number

TEAT-7005

Research group

  • Electromagnetic theory