I. Introduction
Recently, efficient wireless high power transfer over relatively long distances between the transmitter and receiver has been achieved with coupled magnetic resonators [1], [2]. Resonant wireless power transfer systems typically operate in the low MHz range (approximately 1–20 MHz). At frequencies below this range, it is difficult to realize high-Q resonant coils with dimensions appropriate for mobile devices, whereas at higher frequencies, the shorter wavelengths limit the spatial extent of the near-field coupling.