A Novel Numerical Technique for Analyzing Metasurfaces

This work presents a novel technique for efficient numerical modeling of electromagnetic scattering from metasurfaces comprising of truncated periodic or locally-varying quasi-periodic surfaces. The proposed technique hybridizes the periodic Finite Element Method (FEM) with the Method of Moments (MoM) to develop an algorithm far more efficient than conventional numerical methods for electromagnetic scattering from arbitrary objects. The key feature of the proposed algorithm is that it takes advantage of the quasi-periodic nature of metasurfaces to derive high-level Macro Basis Functions (MBFs) derived by using the FEM, and subsequently used to derive a reduced MoM matrix for the unknown coefficients of the MBFs. Numerical results are derived and validated by comparing them with those obtained from commercial softwares.