Fractional Temporal Electrodynamics

摘要: The dielectric susceptibility of a wide class materials follows, over extended frequency ranges, fractional power-law dependence that is called the “universal” response. electromagnetic fields in such media can be described by differential equations (Tarasov, 2008a,b) with time derivatives non-integer order. An exact solution for magnetic field derived. We obtain describe Curie-von Schweidler and Gauss’ laws 2008a). These are represented demonstrate damping 2008b). typical features waves common to materials, regardless type physical structure, chemical composition, or nature polarizing species, whether dipoles, electrons ions.