Efficient calculation of inductive coupling for arrays of wire ring resonators
Stepan K. Zhogolev, Mikhail Y. Petrov, Aleksandr O. Makarenko, Mikhail Lapine, Alexey A. Shcherbakov
Abstract
Generalization of the inductance to the case of non-quasistatic electromagnetic field oscillations appears to be fruitful when considering wireless power transfer and RF metamaterials consisting of thin wire loop meta-atoms. When dealing with large systems of interacting loops carrying currents, efficiency and precision of calculation in the presence of retardation is crucial. In this work, we derive a series expansion of such generalized inductance and propose a way for its efficient numerical approximation. Illustrative examples are provided both for inductance convergence of a pair of two loops and extinction efficiency for scattering by metamaterial samples.
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