Annotation
Electromagnetic fields in time-dispersion media with a power-law dependence on time are analyzed. It is shown that these media are fractal and their fractal dimension is determined. Equations for scalar and vector potentials are derived using analogues of Maxwell’s equations for these types of media with the use of Caputo fractional derivatives. Electromagnetic fields in a bounded domain are numerically calculated for arbitrary functions of charge and current.
Received: 2012 May 4
Approved: 2012 November 2
PACS:
02.60.Nm Integral and integrodifferential equations
41.20.Jb Electromagnetic wave propagation; radiowave propagation
41.20.Jb Electromagnetic wave propagation; radiowave propagation
© 2016 Publisher M.V.Lomonosov Moscow State University
Authors
A.N. Bogolubov, A.A. Koblikov, D.D. Smirnova, N.E. Shapkina
Department of Mathematics, Faculty of Physics, Moscow State University, Moscow, 11999, Russia
Department of Mathematics, Faculty of Physics, Moscow State University, Moscow, 11999, Russia
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