Synthesis of Impedance Cylindrical Metasurface for the Given Polarization Ellipse of Conformal Phased Antenna Array

The paper provides a solution to the 2D-problem of synthesizing the impedance tensor of a homogeneous circular cylindrical metasurface (MS) for any preassigned polarization ellipse of radiation from a conformal phased antenna array (PAA). A 2D-model of PAA near a cylindrical MS in the form of a circular lattice of longitudinal ribbons with currents is considered. The solution is subject to the additional requirement of the invariance of the PAA polarization with respect to the angles of observation of the field. It is shown that the ellipticity coefficient and the angle of inclination of the major axis of the polarization ellipse of the PAA are explicitly determined only by the impedance of the MS. The dependences of the impedance on the specified parameters of the PAA polarization ellipse are investigated. The class of realizable polarizations of PAA in the particular case of reciprocal MSs is established.