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Magnetic Response of Metamaterials
Author(s) -
JuárezReyes Lucila,
Mochán W. Luis
Publication year - 2018
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.201700495
Subject(s) - metamaterial , permittivity , permeability (electromagnetism) , spatial dispersion , dielectric permittivity , dielectric , physics , split ring resonator , relative permeability , materials science , statistical physics , computational physics , optics , chemistry , quantum mechanics , biochemistry , composite material , membrane , porosity
We present a general numerical approach for the calculation of the non‐local macroscopic dielectric response of a binary metamaterial made of arbitrary non‐magnetic materials with any geometry. From the spatial dispersion of the permittivity, characterized by its dependence on the wavevector, we obtain the corresponding effective local macroscopic permeability of the metamaterial. We illustrate our computational approach by calculating the permeability of two‐dimensional split‐ring resonators and validate the results through comparison with those of simple models. Our scheme may be further applied to arbitrary geometries. We discuss the limitations of the local permeability approach.