Signal propagation in electromagnetic media described by fractional-order models

Tomasz P. Stefański , Jacek Gulgowski

Abstract

In this paper, signal propagation is analysed in electromagnetic media described by fractional-order (FO) models (FOMs). Maxwell’s equations with FO constitutive relations are introduced in the time domain. Then, their phasor representation is derived for one-dimensional case of the plane wave propagation. With the use of the Fourier transformation, the algorithm for simulation of the non-monochromatic wave propagation is introduced. Its implementation in Matlab allows for generation of time-domain waveforms of signals propagating in the media described by FOMs. It is demonstrated that despite high attenuation, a small perturbation of the time-derivative orders in Maxwell’s equations allows for tuning of the time of signal arrival to the observation point. In all the cases studied, the rate of pulse advancement increases, with simultaneous decrease of the value of the time-derivative orders in FO Maxwell’s equations.
Author Tomasz P. Stefański
Tomasz P. Stefański,,
-
, Jacek Gulgowski (FMPI / IM)
Jacek Gulgowski,,
- Institute of Mathematics
Journal seriesCommunications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, e-ISSN 1878-7274, (N/A 100 pkt)
Issue year2020
Vol82
Pages1-16
Publication size in sheets0.75
Article number105029
Keywords in Englishfractional calculus, Maxwell’s equations, plane wave propagation, Riemann-Liouville derivative, Marchaud derivative
ASJC Classification2604 Applied Mathematics; 2611 Modelling and Simulation; 2612 Numerical Analysis
DOIDOI:10.1016/j.cnsns.2019.105029
URL https://doi.org/10.1016/j.cnsns.2019.105029
Languageen angielski
Score (nominal)100
Score sourcejournalList
ScoreMinisterial score = 100.0, 28-01-2020, ArticleFromJournal
Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 2018 = 1.805; WoS Impact Factor: 2018 = 3.967 (2) - 2018=3.637 (5)
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