Metamaterial has been developed using a structure of Cu-wire coil wound on a ferrite core. The metamaterial has greatly enhanced azimuthal permeability, as compared to the mere core material, and its resonance frequency can be controlled through varying the number of turns of the coil. These special properties, which are significantly different from general magnetic material, can be understood by an equivalent lumped parameter model.
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Li et al. (2009) studied this question.
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