On the designing of effective calculation algorithm for shielded multiconductor transmission lines
For the purpouse of designing of effective and universal calculation algorithm of the shielded multiconductor transmission lines parameters existing now rigorous methods of boundary value problems solutions are considered. At low frequencies the most preferred is the method of discrete singularities. A calculation algorithm of electromagnetic fields and dispersion characteristics of shielded multiconductor transmission lines based on mode matching method and recalculation formulas is suggested.
Mathematical models of electromagnetic wave scattering by two-element strip grating with a perpendicularly magnetized gyrotropic medium
Two mathematical models are proposed for analyzing a linearly polarized plane wave scattering by a strip grating placed on isotropic-gyrotropic media interface in the case of oblique incidence. The first mathematical model is based on reducing the original boundary value problem to the Riemann-Hilbert problem. The second model is based on reducing the same problem to a singular integral equation of the first kind with a Cauchy kernel and its numerical solution by the discrete singularities method.
The vortex lattice method in the electromagnetic wave diffraction on the method grading with gyrotropic layer
A mathematical model of diffraction of plane linear polarized monochromatic waves on the band grating located on one side of the planar gyrotropic layer is suggested. It is based on reducing the problem under consideration in its exact formulation to a singular integral equation and its numerical solution by the method of discrete singularities. This approach is interesting both for the possibility of discretization of the considered problem by the direct numerical method and the possibility of extending it to the corresponding problem with a multielement grating.