Universal Electromagnetic Waves in Dielectric

Details Universal Electromagnetic Waves in Dielectric Universal Electromagnetic Waves in Dielectric

2009-07-13

arxiv.org/abs/0907.2163v1

Journal of Physics: Condensed Matter 20 (2008) 175223

Physics

Optics

19 pages, LaTeX

Scientific paper

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 magnetic field is derived. The electromagnetic fields in the dielectric materials demonstrate fractional damping. The typical features of "universal" electromagnetic waves in dielectric are common to a wide class of materials, regardless of the type of physical structure, chemical composition, or of the nature of the polarizing species, whether dipoles, electrons or ions.

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