An Excitation of Anisotropic Impedance Metasurface in the Form of Elliptical Cylinder

Abstract

The problem of arbitrary excitation of waves by a system of external sources near an anisotropic metasurface (MS) in the form of an elliptical cylinder with a surface homogenized impedance tensor of general form is solved. The solution to the problem is written as a superposition of E- and H-waves in elliptical coordinates. The partial reflection coefficients of waves were found from the boundary conditions using the orthogonality of the Mathieu angular functions. The conditions under which the solution of the excitation problem is obtained in an explicit form are found and analyzed. It is shown that for this, the surface impedance tensor of a uniform MS must belong to a class of deviators. In the particular case of a mutual (most easily realized) metasurface, its impedance tensor should only be reactance. In another special case, such impedance describes a class of anisotropic nonreciprocal MSs with the so-called perfect electromagnetic conductivity (PEMC).