Construction of functional relationships providing cross-polarization equivalence of electromagnetic scatterers

Abstract

Impedance coatings of cylindrical bodies’ synthesis in order to achieve their cross-polarization equivalence (coincidence of scattering diagrams for E - and H - polarizations of the incident wave) are considered in the work. The stationary model of electrodynamics’ two-dimensional equations with modified boundary conditions is used in order to construct dual distributions pairs of surface impedance. Using the Green’s function, a transition is made to the system of integral equations in the framework of the boundary element method. The operators’ appeal of solutions to direct problems made it possible to obtain functional relationships for the distribution of surface impedance at various polarizations. This made it possible to provide required ratios between the norms of dual coatings.