Signal propagation in electromagnetic media described by fractional-order models
Tomasz P. Stefański , Jacek Gulgowski
AbstractIn 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.
|Journal series||Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, e-ISSN 1878-7274, (N/A 100 pkt)|
|Publication size in sheets||0.75|
|Keywords in English||fractional calculus, Maxwell’s equations, plane wave propagation, Riemann-Liouville derivative, Marchaud derivative|
|ASJC Classification||; ;|
|Score||= 100.0, 02-06-2020, ArticleFromJournal|
|Publication indicators||= 0.000; : 2018 = 1.805; : 2018 = 3.967 (2) - 2018=3.637 (5)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.