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Universal Electromagnetic Waves in Dielectric

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      Abstract

      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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      Journal
      2009-07-13
      0907.2163

      http://arxiv.org/licenses/nonexclusive-distrib/1.0/

      Custom metadata
      Journal of Physics: Condensed Matter 20 (2008) 175223
      19 pages, LaTeX
      physics.optics physics.class-ph

      Classical mechanics, Optical materials & Optics

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