O.S. Labunko

One of the upcoming trends in multi-purpose antenna design is the usage of open waveguides. This kind of structures can be con-structed in various ways including cylinder structures of an arbitrary cross-section with multilayer magnetodielectric coating. The advance in the material construction allows obtaining the artificial magnetodielectrics with the desired values of the relative dielectric and magnetic permittivities. However, practical application of these coatings is being held back by the absence of the patterns connecting the magnetodielectric coating parameters to the excited electromagnetic waves characteristics. Experimental research of these patterns requires expensive and labor-intensive measurements. The possibilities of obtaining the patterns theoretically are limited by the absence of field estimation methods for these structures. In the paper the solution for the diffraction problem of the perfectly conducting cylinder of the arbitrary cross-section with multilayer magnetodielectric coating is considered. It is converted to the system of integral equations formulated with the respect to the components of equivalent electric and magnetic currents in the layer interface. The advantage of both the proposed approach and the obtained integral equation system lies in the possibility of the physical interpretation of the obtained results and analytic conversion to the known results. Moreover, the proposed approach guarantees obtaining the asymptotically strict solution of the considered problem. In the paper the expressions for the elements of Green-s tensor are given.