Signal Propagation in Electromagnetic Media Modelled by the Two-Sided Fractional Derivative

In this paper, wave propagation is considered in a medium described by fractional-order model, which formulated with the use of two-sided fractional derivative Ortigueira and Machado. Although relation to causality clearly specified its definition, there no obvious between transfer function induced derivative. Hence, system investigated; output an electromagnetic signal propagating media time-domain It demonstrated that, for order range [1,+?), describing attenuated not causal any value asymmetry parameter On other hand, it shown orders (0,1), if only equal certain specific values corresponding left-sided Grünwald–Letnikov The results are illustrated numerical simulations analyses. Some comments on Kramers–Krönig relations logarithm presented as well.