Numerical analysis of modulated metasurface antennas using Fourier-Bessel basis functions

Metasurfaces are thin (2D) metamaterials designed for manipulating the dispersion properties of surface-waves (SWs) or the reflection properties of incident plane-waves. Thanks to the sub-wavelength sizes of the patches used in the implementation step, these surfaces can be described by a surface impedance boundary condition (IBC). In this paper, we investigate a “Method of Moments” (MoM) based analysis of such surface with a family of entire-domain basis functions named “Fourier-Bessel” functions. The orthogonality property of these functions on a disk allows us to represent any smooth current distribution in an effective manner and thereby to drastically reduce the size of the MoM matrix.