An Analytical Approach for the Arbitrary Control of Magnetic Metasurfaces Frequency Response

In this paper, we develop an accurate and effective analytical framework to arbitrarily manipulate the frequency response of magnetic metasurfaces. In particular, we demonstrate the possibility to homogenize the response of the unit-cells constituting a finite slab, avoiding undesired truncation effects and, consequently, performance degradation. In addition, we also show that the control over the current flowing in each array element can be arbitrary, thus allowing exotic properties accomplishment. For instance, we prove that the magnetic field distribution reconfigurability can be easily achieved. We finally demonstrate the reliability of the procedure based on the theoretical circuit model through full-wave simulations performed over meaningful test-cases. The possibility to accurately control the response of magnetic metasurfaces can be extremely important for enhancing performance in numerous applications, as for instance Wireless Power Transfer and Magnetic Resonance Imaging.