Simulation of Radio Waves Focusing by a Two-Dimensional Parabolic Mirror Made from Parallel Dielectric, Dielectric-Graphene and Conducting Cylinders

The scattering of a plane electromagnetic wave of TE polarization by a structure of N cylinders located along a parabola is numerically modeled. For this purpose the problem of diffraction of a plane wave by a cylinder with arbitrary center coordinates is solved. The mutual influence of individual cylinders is not taken into account at the calculations. When solving, Bessel functions of the complex argument were used. The aim of the work is to study the focusing of electromagnetic radiation of various frequencies at different sizes and materials of the threads. A study was made of the behavior of the field in the vicinity of the focus of the parabolic antenna under consideration for cylinders of a dielectric, a dielectric with a layer of graphene, and cylinders with perfect conductivity. It was found that the graphene layer leads to an almost twofold increase in the field amplitude at the focus. The size of the focal spot was studied depending on the frequency of the incident field, the radii of the cylinders, and the distance between the cylinders. It is shown that the field in the vicinity of the focus has some features, namely, there are slow and fast oscillations of the field amplitude with a change in the frequency of the incident wave. It turned out that slow variations are determined by the radius and properties of the cylinder material, but the reason for the fast oscillations in the framework of the model used was not found.