%0 Conference Proceedings %T Theory of negative index in periodic and random photonic crystals - art. no. 61950I %+ Groupe d'étude des semiconducteurs (GES) %+ Laboratoire d'Analyse Non Linéaire Appliquée (ANLA) %A Felbacq, Didier %A Bouchitté, Guy %< avec comité de lecture %Z 06-035 %( Nanophotonics %B Conference on Nanophotonics %C Strasbourg (FRANCE), France %I SPIE-INT SOC OPTICAL ENGINEERING, PO BOX 10, BELLINGHAM, WA 98227-0010 USA %V 6195 %P I1950-I1950 %8 2006-04-03 %D 2006 %K metamaterials %K negative index %K homogenization %K REFRACTION %Z Physics [physics]/Condensed Matter [cond-mat]/Materials Science [cond-mat.mtrl-sci] %Z Physics [physics]/Physics [physics]/Optics [physics.optics]Conference papers %X We homogenize a 2D dielectric photonic crystal by means of a multiple scale approach. We show that if the rods constituting the crystal have Mie resonances at large enough wavelengths, the crystal presents an effective permeability exhibiting anomalous dispersion. When embedding in a negative permittivity medium, this leads to a negative index material. %G English %L hal-00437976 %U https://hal.science/hal-00437976 %~ UNIV-TLN %~ CNRS %~ UNIV-MONTP2 %~ GES %~ IMATH %~ UNIV-MONTPELLIER %~ UM1-UM2