Year 2022

• Sensitive Demonstration of the Twin-Core Couplers including Kerr Law Non-Linearity via Beta Derivative Evolution

  Publication

  • A. Asad
  • M. Riaz
  • Y. Geng

  - Fractal and Fractional - Year 2022

  To obtain new solitary wave solutions for non-linear directional couplers using optical meta-materials, a new extended direct algebraic technique (EDAT) is used. This model investigates solitary wave propagation inside a fiber. As a result, twin couplers are the subject of this study. Kerr law is the sort of non-linearity addressed there. Because it offers solutions to problems with large tails or infinite fluctuations, the resulting...

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Year 2021

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

  Publication

  • J. Gulgowski
  • D. Kwiatkowski
  • T. Stefański

  - Fractal and Fractional - Year 2021

  In this paper, wave propagation is considered in a medium described by a fractional-order model, which is formulated with the use of the two-sided fractional derivative of Ortigueira and Machado. Although the relation of the derivative to causality is clearly specified in its definition, there is no obvious relation between causality of the derivative and causality of the transfer function induced by this derivative. Hence, causality...

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