Magnetic metamaterials: Coupling and permeability

Magnetic metamaterials made of non-magnetic resonators - metaatoms - are an essential part of metamaterial world reacting to the ac magnetic field and being able to demonstrate negative permeability. We describe local permeability distribution in the vicinity of the resonant frequency where effective medium theory is not applicable because of metasurfaces' finite sizes and the excitation of magnetoinductive (MI) waves. We show that inter-element coupling significantly affects not only MI waves passband but the local permeability distribution.