Diffraction of the electromagnetic plane waves by double half-plane with fractional boundary conditions


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Tabatadze V. , Karaçuha K. , Velıyev E. , Karaçuha E.

Progress In Electromagnetics Research M, vol.101, pp.207-218, 2021 (Refereed Journals of Other Institutions) identifier

  • Publication Type: Article / Article
  • Volume: 101
  • Publication Date: 2021
  • Doi Number: 10.2528/pierm21012003
  • Title of Journal : Progress In Electromagnetics Research M
  • Page Numbers: pp.207-218

Abstract

© 2021, Electromagnetics Academy. All rights reserved.—In this article, the diffraction of E-polarized electromagnetic plane waves by a double half-plane structure is taken into account. The shift of the upper half-plane through the horizontal axis for different wavenumber and boundary conditions are considered. On the double half-plane structure, fractional boundary conditions are required on the half-plane surfaces. The half-planes are parallel to each other with a variable shift in distance and location. The formulation of the problem is given where the boundary condition is explained, and the integral equations for each half-plane are obtained by using fractional calculus and Fourier Transform techniques. Then, for numerical calculations, the induced current on each half-plane is expressed as the summation of Laguerre polynomials. This leads to having a system of linear algebraic equations needed to be solved. The numerical results show that the shift and the distance between the half-planes give a very important effect on the field values inside and outside the guiding structure. The results are compared and analyzed with Method of Moment and previous results.