Investigation into Curvilinear Metasurfaces using IE-GSTCs with Normal Surface Polarizabilities

Using an Integral Equation (IE) based electromagnetic field solver that is capable of modeling metasurfaces (MSs) using the generalized sheet transition conditions (GSTCs), we study the accuracy of surface susceptibilities for modeling curvilinear surfaces. The surface susceptibilities are first extracted for a simple practical unit cell with a metal loop exhibiting a strong normal magnetic polarization. Subsequently, a uniform MS in the shape of a semi-circle is modeled using the GSTCs, and compared to full-wave simulations. We demonstrate that the GSTCs can successfully model curved surfaces, with minor discrepancies occurring when the curvature becomes extreme.