Abstract
We prove that the electromagnetic fields in dielectric media whose susceptibility follows a fractional power-law 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 power-law relaxation. The fractional integro-differential equations for electromagnetic waves are common to a wide class of dielectric media regardless of the type of physical structure, the chemical composition, or the nature of the polarizing species (dipoles, electrons, or ions).
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Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 158, No. 3, pp. 419–424, March, 2009.
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Tarasov, V.E. Fractional integro-differential equations for electromagnetic waves in dielectric media. Theor Math Phys 158, 355–359 (2009). https://doi.org/10.1007/s11232-009-0029-z
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DOI: https://doi.org/10.1007/s11232-009-0029-z