Eldar Veliev

The study investigates the H‐polarized plane wave diffraction by a slotted cylinder with different surface impedances employing an analytical‐numerical approach. The solution is obtained by expressing the current distribution on the obstacle with Gegenbauer polynomials considering the edge conditions. To obtain the field and current distribution on the surface, the Leontovich boundary condition on each side of the slotted cylinder is employed. The results are compared with Dirichlet and Neumann boundary condition cases obtained previously. It is observed that the resonant field amplitudes and the location at the resonances strongly depend on the impedance values.

In this article, the plane wave diffraction by two strips is studied. Fractional boundary condition is required on strips when the fractional order for each strip is different. The goal of the paper is to investigate the resonant properties of such structures. The mathematical apparatus for the solution of the problem is given. The frequency dependency on the total radar cross-section is constructed for the different combinations of the fractional order. At the resonant frequencies, the near and the far-field distributions are presented.

In this paper, we analyze some applications of the fractional boundary conditions (FBC) in the two-dimensional problems of wave reflection and diffraction. FBC are used to simulate reflection from dielectric slab where the fractional order depends on the layer parameters. The diffraction of an E-polarized electromagnetic field by a strip with FBC is studied. Numerical results are presented showing a comparison of the physical characteristics of the strip with FBC and impedance strip.

Applications of fractional operators approach to electromagnetic waves reflection and diffraction problems are considered. Reflection properties of fractional or intermediate solutions obtained using fractional curl operator are analyzed. It is shown that this approach is a useful technique for the description of solutions to the reflection problems for some known mediums in terms of the fractional order. Also new features of boundaries corresponding to fractional solutions can be derived. In this paper intermediate boundaries are modelled with BI slab with a PEC backing. Finally, using fractional derivative new boundary conditions are introduced. The problem of diffraction on strip with fractional boundary conditions is solved.

Applications of fractional operators approach to electromagnetic waves reflection problems are considered. Reflection properties of fractional or intermediate solutions are analyzed. It is shown th...

The fractional curl operator and its possible applications in electromagnetic problems are discussed. Specifically, we consider radiation from sheet and line current distributions. Applying fractionalized curl operator we obtain new "fractional" fields and corresponding "fractional" currents, and analyze their physical meanings. "Fractional" field can be considered as "intermediate" one between the original and dual fields. It can be treated as an extension of conventional duality principle. Expressions for the "fractional" fields and relation between "fractional" currents and the original currents are presented.