On nonlocal complex Maxwell equations and wave motion in electrodynamics and dielectric media

A formulation of Maxwell’s equations on the complex domain is presented in this paper which is based on the extension of the nonlocal-in-time kinetic energy approach recently introduced by Suykens. New wave equations with time-dependent source terms are obtained in a uniform optical medium. A number of physical effects were raised and their implications in classical electrodynamics besides to the propagation of waves in dielectric media are analyzed and discussed accordingly.