Optimal Terminations of 2D Meta-Surfaces for Uniform Magnetic Field Applications

This paper investigates the possibility of obtaining a uniform magnetic field close to a 2D metamaterial made of magnetically coupled resonant circuits. The magnetic field is controlled by terminating the boundary of the meta-surface with proper additional impedances, whose values are calculated by means of an optimization procedure. The adopted circuit model has been discussed and compared with others presented in the literature, highlighting its advantages and disadvantages with reference to the considered application. Furthermore, the effect of the quality factor on the current distribution generating the field has been addressed. The uniformity of the magnetic field is then discussed, with reference to possible applications e.g. in magnetic resonance imaging or energy harvesting for wireless power transfer.