Computing and simulation of time-dependent electromagnetic fields in homogeneous anisotropic materials

The goal of this paper is to derive explicit formulae for initial value problems of electromagnetic radiation arising from electric currents in homogeneous non-dispersive electrically and magnetically anisotropic materials. Computing these formulae is based on matrix symbolic transformations and the inverse Fourier transform which is done numerically. The robustness of these formulae for the simulation of electric and magnetic waves is demonstrated by computed 2D and 3D images of the electric and magnetic field components generated by a pulse dipole with a fixed polarization.