Modelling and simulation of electric and magnetic fields in homogeneous non-dispersive anisotropic materials

The paper describes a new efficient method for finding and simulation of electric and magnetic fields in homogeneous non-dispersive electrically anisotropic materials. Electromagnetic wave propagation in these materials is descried by the time-dependent Maxwell’s system which implies initial value problems (IVPs) for electric and magnetic fields. Our method essentially uses matrix symbolic calculations in MATLAB and allows us to compute explicit formulae of electric and magnetic fields. These formulae are used for generating images of electric and magnetic fields inside different materials. A collection of electric and magnetic field images is presented in the paper.