| Abstract [eng] |
The aim of this work is to build an analytical solution of Maxwell’s equations for a boundary problem when a plane electromagnetic wave is scattered by a large cylinder with inner cylindrical scatterers made from isotropic dielectric, uniaxial and (or) ferrite material and investigate the peculiarities of the scattered fields. Here the enveloping cylinder is made from isotropic dielectric material. All the cylinders have arbitrary radii, permittivity and permeability. The positions of inner cylinders and their number is arbitrary. The condition that the surfaces of all cylinders do not intersect has to be fulfilled. The incident plane wave can have arbitrary polarization and angle of incidence with respect to the axis of the cylinders. All available re-radiation between the cylinders is evaluated by applying Graf’s addition theorem. Modelling of electromagnetic wave scattering problems by structures of this type is important in material science for finding new applications of natural and synthetic materials, as well as improving already existing devices. A MATLAB code was written to solve a boundary problem of electromagnetic wave scattering by a composite cylinder with inner cylindrical scatterers and to calculate the electromagnetic field at any point in space. A case of two ferrite cylinders embedded in a larger dielectric cylinder was studied in this work numerically. The inner cylinders are placed on a line perpendicular to the direction of the propagation of the wave. Calculations were performed with different distances between the inner cylinders. From the performed calculations it is shown that the highest asymmetry of the Poynting vector is obtained in the frequency ranges at which absorption maxima are observed, independent of the distance between the inner cylinders. Furthermore, it was shown that by changing the magnetizing field the Poynting diagram is either enlarged or contracted and the form exhibits a pulsing behavior with the change of the magnetizing field. The smooth rotation of the main petal of the Poynting diagram was not observed by changing the magnetizing field. |
