Transient dipole radiation in an absorbing uniaxial crystal

The electromagnetic radiation arising from a longitudinally and a transversely oriented magnetic dipole in a dissipative uniaxially anisotropic medium is determined by writing separate equations for the electromagnetic field intensities, and utilizing a spectral representation in the space-time Fourier domain. It is established that explicit, time- dependent, analytical solutions are possible in the case where the permitivity, permeability and conductivity tensors are simultaneously diagonalizable by means of a collineatory transformation, and the permittivity and conductivity tensors are directly proportional to each other.