Constitutive Relations, Dissipation, and Reciprocity for the Maxwell Equations in the Time Domain
作者:
A. Karlsson,
G. Kristensson,
期刊:
Journal of Electromagnetic Waves and Applications
(Taylor Available online 1992)
卷期:
Volume 6,
issue 5-6
页码: 537-551
ISSN:0920-5071
年代: 1992
DOI:10.1163/156939392X01309
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
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 the Riemann-Stieltjes type. A review of the classification 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. Furthermore, an appropriate form of time reversal and functions of positive type are introduced and some consequences of these concepts are showed.
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