First-Principle Homogenization Theory for Periodic Metamaterials
arXiv:1012.1351 · doi:10.1103/PhysRevB.84.075153
Abstract
We derive from first principles an accurate homogenized description of periodic metamaterials made of magnetodielectric inclusions, highlighting and overcoming relevant limitations of standard homogenization methods. We obtain closed-form expressions for the effective constitutive parameters, pointing out the relevance of inherent spatial dispersion effects, present even in the long-wavelength limit. Our results clarify the limitations of quasi-static homogenization models, restore the physical meaning of homogenized metamaterial parameters and outline the reasons behind magnetoelectric coupling effects that may arise also in the case of center-symmetric inclusions.
58 pages, 10 figures Phys. Rev. B, in press (2011)
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