On the advances of Electromagnetic theory for inhomogenious media: A quaternionic approach

We analyze a set quaternionic methods for studying the time-dependent Maxwell equations in the presence of sources for inhomogeneous media, the electrical Impedance Equation with a conductivity function depending upon three spatial variables, the Beltrami Fields and the Force-Free Magnetic Fields with non-constant proportionality factors. For the last three systems, we study some particular cases for which it is possible to obtain new classes of solutions, pointing out their possible application in boundary value problems.