%0 Journal Article %T Negative refraction in periodic and random photonic crystals %+ Groupe d'étude des semiconducteurs (GES) %+ Laboratoire d'Analyse Non Linéaire Appliquée (ANLA) %A Felbacq, Didier %A Bouchitté, Guy %< avec comité de lecture %Z 05-049 %@ 1367-2630 %J New Journal of Physics %I Institute of Physics: Open Access Journals %V 7 %P 159 %8 2005 %D 2005 %R 10.1088/1367-2630/7/1/159 %K HOMOGENIZATION %K MAGNETISM %K INDEX %K SET %Z Physics [physics]/Condensed Matter [cond-mat]/Materials Science [cond-mat.mtrl-sci] %Z Physics [physics]/Physics [physics]/Optics [physics.optics]Journal articles %X We present a theory of the artificial magnetic activity in a two-dimensional (2D) dielectric photonic crystal. We show, by using a multiple-scale approach, that if the rods constituting the crystal have Mie resonances at large enough wavelengths, the crystal can be characterized by an effective permeability exhibiting anomalous dispersion. The theoretical results are checked numerically for periodic and random photonic crystals. %G English %L hal-00437979 %U https://hal.science/hal-00437979 %~ UNIV-TLN %~ CNRS %~ UNIV-MONTP2 %~ GES %~ IMATH %~ UNIV-MONTPELLIER %~ UM1-UM2