ANALYSIS OF ELECTROMAGNETIC RADIATION IN THE PRESENCE OF UNIFORMLY MOVING GENERALIZED MEDIA.
CASE INST OF TECH CLEVELAND OHIO
Pagination or Media Count:
The analysis of electromagnetic radiation arising from elementary sources in the presence of a class of generalized media is presented. The electromagnetic field intensities associated with an isotropic, conducting, moving medium are expressible in terms of a pair of scalar and vector potential functions by invoking a generalized Helmholtz theorem and a modified Lorentz condition. The time-dependent scalar Greens function defined in connection with the partial differential equations satisfied by these potential functions is determined explicitly by resorting to an expansion of a function of a diagonalizable matrix. The radiation due to a magnetic dipole oriented along the distinguished axis of a stationary, conducting, uniaxially-anisotropic medium is found by writing separate equations for the electromagnetic field intensities, and utilizing a spectral representation in the space-time Fourier domain. The electric conductivity and permittivity tensors are assumed to be proportional to each other. The change in the character of radiation in the presence of a uniaxially-anisotropic medium moving uniformly in the direction of its axis of symmetry is investigated next. Because of the existing symmetry, it is possible to obtain explicit analytic solutions for a longitudinally- and a transversely-oriented unit magnetic current distribution density. Finally, the exact radiation field in a general anisotropic, conducting, moving medium is presented formally as an integral representation in terms of the generalized spectrum of a nonsemisimple matrix. Author
- Electricity and Magnetism
- Radiofrequency Wave Propagation