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

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.