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The electronic Lorentz theory is employed to determine the electromagneticresponse of planar split-ring metamaterials. Starting from the dynamics ofindividual free carriers, the effective permittivity tensor of the metamaterialis calculated. Whenever the split ring lacks in-plane mirror symmetry, thecorresponding permittivity tensor has a crystallographic structure of anelliptically dichroic medium, and the metamaterial exhibits optical propertiesof planar chiral structures. Its transmission spectra are different forright-handed vs. left-handed circular polarization of the incident wave, so thestructure changes its transmittance when the direction of incidence isreversed. The magnitude of this change is shown to be related to the geometricparameters of the split ring. The proposed approach can be straightforwardlygeneralized to a wide variety of metal-dielectric metamaterial geometries.

Asymmetric transmission in planar chiral split-ring metamaterials: Microscopic Lorentz-theory approach