Integro-Differential Analysis of Resonant Magnetic Metasurfaces With Equivalent Medium Approximation

This article proposes a strategy to consider the dielectric effects in the thin-wire integro-differential formulation and applies it to analyzing microstrip metasurfaces (MTSs) that support magnetic resonances. These structures comprise a periodic arrangement of subwavelength unit cells; therefore, the thin-wire approximation can be applied to analyze them. However, the substrate is usually disregarded. This work achieves more accurate results with a homogeneous equivalent medium approximation considering the dielectric properties. Moreover, an experimental methodology is presented to validate this implementation for each device and for the complete system. The proposed formulation is numerically solved with the method of moments (MoM), and the results show close agreement with the experimental data. Besides, it leads to a significant reduction in the computation time compared with a full-wave analysis, which makes this approach also compelling for designing inductive wireless power transfer (WPT) systems and magnetic resonators.