Electric Field Integral Equation-Based Synthesis of Elliptical-Domain Metasurface Antennas

A method based on the electric field integral equation is proposed for synthesizing planar metasurface (MTS) antennas built on elliptical apertures. The MTS is modeled with a modulated tensorial surface impedance. Entire-domain basis functions are used to discretize efficiently the currents as well as the surface impedance, allowing a quasi-direct computation of the surface impedance from the desired radiation pattern. The corresponding surface currents are combined with the near-field radiation from a constant reactance to derive the surface impedance of the MTS. The obtained algorithm is, therefore, systematic and can be applied to generate arbitrary radiation patterns, with control on the amplitude, phase, and polarization. Numerical validation of the proposed technique illustrates the effectiveness of the method.