V. E. Tarasov, “Fractional integro-differential equations for electromagnetic waves in dielectric media”, TMF, 158:3 (2009), 419–424; Theoret. and Math. Phys., 158:3 (2009), 355

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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 158, Number 3, Pages 419–424
DOI: https://doi.org/10.4213/tmf6324 (Mi tmf6324)

This article is cited in 129 scientific papers (total in 129 papers)

Fractional integro-differential equations for electromagnetic waves in dielectric media

V. E. Tarasov

Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University

Full-text PDF (324 kB) Citations (129)

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DOI: https://doi.org/10.4213/tmf6324

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).

Keywords: fractional integro-differentiation, fractional damping, universal response, electromagnetic field, dielectric medium.

Received: 18.12.2007
Revised: 24.06.2008

English version:
Theoretical and Mathematical Physics, 2009, Volume 158, Issue 3, Pages 355–359
DOI: https://doi.org/10.1007/s11232-009-0029-z

Bibliographic databases:

Language: Russian

Citation: V. E. Tarasov, “Fractional integro-differential equations for electromagnetic waves in dielectric media”, TMF, 158:3 (2009), 419–424; Theoret. and Math. Phys., 158:3 (2009), 355–359

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This publication is cited in the following 129 articles:

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Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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