Universal electromagnetic waves in dielectric

Universal electromagnetic waves in dielectric

The dielectric susceptibility of a wide class of dielectric materials follows, over extended frequency ranges, a fractional power-law frequency dependence that is called the ‘universal’ response. The electromagnetic fields in such dielectric media are described by fractional differential equations with time derivatives of non-integer order. An exact solution of the fractional equations for a ma...

Anderson Localization of Electromagnetic Waves in Dielectric Media: Model Studies

Anderson localization of electromagnetic waves in random arrays of dielectric cylinders confined within a planar metallic waveguide is studied. The disordered dielectric medium is modeled by a system of randomly distributed 2D electric dipoles. An effective theoretical approach based on the method of images is developed. A clear distinction between isolated localized waves (which exist in finit...

Electromagnetic Waves Propagation and Detection in Shielded Dielectric Power Cables

Partial discharge occurs a lot in shielded dielectric power cables. Partial discharge pulses are high-frequency electromagnetic waves that propagate in the shielded dielectric power cables. This chapter will study partial discharge propagation and detection in shielded dielectric power cables.

Bending of electromagnetic waves in all-dielectric particle array waveguides

Fractional Integro-differential Equations for Electromagnetic Waves in Dielectric Media

We prove that the electromagnetic fields in dielectric media whose susceptibility follows a fractional powerlaw dependence in a wide frequency range can be described by differential equations with time derivatives of noninteger order. We obtain fractional integro-differential equations for electromagnetic waves in a dielectric. The electromagnetic fields in dielectrics demonstrate a fractional ...