  We give an overview of recent advances in analysis of equations of
electrodynamics with the aid of biquaternionic technique. We discuss both
models with constant and variable coefficients, integral representations of
solutions, a numerical method based on biquaternionic fundamental solutions for
solving standard electromagnetic scattering problems, relations between
different operators of mathematical physics including the Schrodinger, the
Maxwell system, the conductivity equation and others leading to a deeper
understanding of physics and mathematical properties of the equations.
