title: Photonic crystal lens: from negative refraction and negative index to negative permittivity and permeability.
abstract: We consider a dielectric photonic crystal made of cylindrical holes in a high index matrix. We show that a given finite size photonic crystal can mimic a homogeneous material whose permittivity and permeability are negative. We pay attention to the limitation of the homogeneous medium model and the vital role of the truncation of the crystal.
authors.affiliation: Institut Fresnel, UMR CNRS 6133, Faculté des Sciences et Techniques, case 161, Université Paul Cézanne Aix-Marseille III, 13397 Marseille Cedex 20, France.
authors.forename: T
authors.initials: T
authors.lastname: Decoopman
authors.forename: G
authors.initials: G
authors.lastname: Tayeb
authors.forename: S
authors.initials: S
authors.lastname: Enoch
authors.forename: D
authors.initials: D
authors.lastname: Maystre
authors.forename: B
authors.initials: B
authors.lastname: Gralak