Euler–Lagrange analysis of metamaterial slabs in near field systems

The Euler–Lagrange method is proposed for the rigorous modeling of low-frequency metamaterial (MTM) slabs in near field systems. The mechanisms of the extraordinary performance-enhancing capabilities of MTM slabs in near field systems are analyzed in numerical studies. The proposed method is verified by experimental studies of a prototype MTM-coil system. This work focuses on low-frequency MTM slabs and enables rigorous, flexible, and feasible analysis of MTM-based near field systems in electrical engineering.