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Register a new userStrong diamagnetic response of metamaterials
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We demonstrate that there is a strong diamagnetic response of metamaterials, consisting of open or closed split ring resonators (SRRs). Detailed numerical work shows that for densely packed SRRs the magnetic permeability, $mu(omega)$, does not approach unity, as expected for frequencies lower and higher than the resonance frequency, $omega_0$. Below $omega_0$, $mu(omega)$ gives values ranging from 0.9 to 0.6 depending of the width of the metallic ring, while above $omega_0$, $mu(omega)$ is close to 0.5. Closed rings have $muapprox 0.5$ over a wide frequency range independently of the width of the ring. A simple model that uses the inner and outer current loop of the SRRs can easily explain theoretically this strong diamagnetic response, which can be used in magnetic levitation.
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The reason of the non-locality of constitutive (material) parameters extracted in a usual way from the reflection-transmission coefficients of composite slab at moderately low frequencies is explained. The physical meaning of these parameters is clarified. Local constitutive parameters of metamaterial lattices are discussed and their existence at moderate frequencies is demonstrated. It is shown how to extract local material parameters from the dispersion characteristics of an infinite lattice and from reflection and transmission coefficients of metamaterial layers.
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