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Signal propagation in electromagnetic media described by fractional-order models

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.

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Details

Category:
Magazine publication
Type:
artykuły w czasopismach
Published in:
Communications in Nonlinear Science and Numerical Simulation no. 82,
ISSN: 1007-5704
Language:
English
Publication year:
2020
Bibliographic description:
Stefański T., Gulgowski J.: Signal propagation in electromagnetic media described by fractional-order models// Communications in Nonlinear Science and Numerical Simulation -Vol. 82, (2020), s.105029-
DOI:
Digital Object Identifier (open in new tab) 10.1016/j.cnsns.2019.105029
Verification:
Gdańsk University of Technology

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