Homogenization near resonances and artificial magnetism from dielectrics

The homogenization of periodic dielectric structures in harmonic regime usually leads to an effective permittivity tensor ${?}^{\mathrm{eff}}$. It has been observed by Bouchitté and Felbacq Waves Random Media 7 (1997) 245–256], that in the high contrast case (high conductivity fibers), this tensor depends on the angular frequency ω. In this Note, we enlight a new effect induced by microscopic resonances which leads in parallel to a possibly negative effective permeability ${\mu }^{\mathrm{eff}}(\omega )$ (although the original medium is assumed to be nonmagnetic i.e. $\mu =1$). To cite this article: G. Bouchitté, D. Felbacq, C. R. Acad. Sci. Paris, Ser. I 339 (2004).