Electromagnetic boundary value problems in the presence of moving simple media. I  Generalities. II  Superluminal case
Abstract
The general problem of calculating the electromagnetic field configuration in presence of metallic obstacles immersed in a moving medium is discussed. The medium is assumed to be homogeneous, isotropic, and to move with a constant velocity, less than the speed of light, with respect to the sources and the boundaries. The solution is obtained by operating in the frame moving together with the sources and by application of a generalization of the Clemmow scaling procedure followed by multiplication by a timedisplacement operator. The calculation of the electromagnetic field in presence of metallic obstacles immersed in a moving medium is then carried out for the superluminal case. The procedure adopted leads to a hyperbolic wave equation in the frequencydomain. Further, two theorems on the configuration of the dark zones and on the extension of the Poynting theorem are established. Finally, the case of cylindrical symmetry is discussed in great details making use of the RiemannGreen functions.
 Publication:

Alta Frequenza
 Pub Date:
 December 1974
 Bibcode:
 1974AlFr...43.1005S
 Keywords:

 Boundary Value Problems;
 Electromagnetic Fields;
 Green'S Functions;
 Hyperbolic Differential Equations;
 Metal Surfaces;
 Wave Equations;
 Electric Conductors;
 Electromagnetic Wave Transmission;
 Frequency Response;
 Isotropic Media;
 Operators (Mathematics);
 Poynting Theorem;
 Relativity;
 Riemann Manifold;
 Physics (General)