On the relativistic theory of electromagnetic dispersion relations and Poynting's theorem.
Abstract
Constitutive relations, and general dispersion relations, are derived for an arbitrary, anisotropic, dispersive and dissipative medium which is moving relative to an inertial observer. The constitutive relations are expressed in terms of the 'local' dielectric tensor, magnetic permeability, etc., where 'local' refers to the instantaneous rest frame of the medium. We also give the generalization of Poynting's theorem for power flow including the expression for the rate at which the moving medium does work on the radiation. In view of the current interest in radiation generated in, and passing through, pulsar magnetospheres, we believe that the general results presented here are, perhaps, not without some astrophysical import.
 Publication:

The Astrophysical Journal Supplement Series
 Pub Date:
 April 1975
 DOI:
 10.1086/190336
 Bibcode:
 1975ApJS...29..113L
 Keywords:

 Constitutive Equations;
 Electromagnetic Wave Transmission;
 Poynting Theorem;
 Relativistic Theory;
 Wave Dispersion;
 Dielectric Properties;
 Magnetic Permeability;
 Pulsar Magnetospheres;
 Pulsars;
 Tensor Analysis;
 Astrophysics