Résumé:

The propagation of electromagnetic waves in a medium made of parallel dielectric rods is studied in the vicinity of the Mie resonances of the rods. It is shown that in the low frequency domain the Maxwell equations can be homogenized, which leads to an equivalent permittivity and more surprisingly to an effective permeability. It is demonstrated that the magnetic resonance is a switch for the existence of a high density of states. The effect of spatial dispersion and the properties of universality and scaling are also investigated