Metasurfaces Design Using Primary Elements and Characteristic Models: Connection Between SSM/SPM and Circuit Quantities

Abstract

This study proposes a metasurface-designing framework using a pre-established database of primary elements and characteristic models, which avoids tedious optimization during metasurface design. We adopt the surface susceptibility model (SSM) and surface porosity model (SPM) as primary characteristic models, and patch-like and fishnet-aperture unit cells as primary elements. First, we connect the efficient characteristic model of metasurfaces, SSM for patch-like unit cells, and SPM for fishnet-aperture unit cells, to <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$LC$ </tex-math></inline-formula> circuit components. Then, we extend the scale of SSM/SPM of the patch/fishnet-like unit cells with a periodicity in the order of <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$0.1\lambda _{0}$ </tex-math></inline-formula> , to establish a primary database. Finally, we design metasurfaces of various functionality using the pre-established database of the primary elements and characteristic models with the aid of classical circuit and transmission line theories.