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.
Eldar I. Veliyev,
"Diffraction of the Electromagnetic Plane Waves by Double Half-Plane with Fractional Boundary Conditions," Progress In Electromagnetics Research M,
Vol. 101, 207-218, 2021. doi:10.2528/PIERM21012003
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