Transition function for describing metasurface dispersion

In this paper, analytical modeling of dominant mode dispersion is proposed for the rapid and accurate analysis of impenetrable Metasurfaces (MTSs). The model is based on an analytical representation of the homogenized MTS impedance in terms of a transition function, depending on one parameter only, which is an equivalent quasi-static capacitance. This approach enables one to accurately capture the physics of the surface-wave (SW) supported by the MTS, and provides accurate results up to the Floquet-Bloch region of the dispersion diagram.