Bloch vector dependence of the plasma frequency in metallic photonic crystals

We show that the plasma frequency in wire photonic crystals depends upon the Bloch vector. An accurate formula is given.Comment: to be published in Phys. Rev.

A Onelab model for the parametric study of mono-dimensional diffraction gratings

This document aims at presenting both theoretical and practical aspects of the grating_2D Onelab model (available at http://onelab.info/wiki/Diffraction_grating). This model applies to so-called mono-dimensional grating, i.e. structures having one direction of invariance. Various geometries and materials can be handled or easily added. The two classical polarization cases, denoted here E// and H//, are addressed. The output consists in a full energy balance of the problem computed from the field maps. This model is based on free the GNU softwares Gmsh, GetDP and their interface Onelab.Comment: arXiv admin note: text overlap with arXiv:1302.103

Transformation Optics, Generalized Cloaking and Superlenses

In this paper, transformation optics is presented together with a generalization of invisibility cloaking: instead of an empty region of space, an inhomogeneous structure is transformed via Pendry's map in order to give, to any object hidden in the central hole of the cloak, a completely arbitrary appearance. Other illusion devices based on superlenses considered from the point of view of transformation optics are also discussed.Comment: 7 pages (two columns), 9 figures, to appear in IEEE Trans. Mag., invited paper in Compumag 2009 (Florianopolis, Brasil), corresponding slides available on http://www.fresnel.fr/perso/nicolet

Metamaterials and the mathematical Science of invisibility

In this chapter, we review some recent developments in the field of photonics: cloaking, whereby an object becomes invisible to an observer, and mirages, whereby an object looks like another one (say, of a different shape). Such optical illusions are made possible thanks to the advent of metamaterials, which are new kinds of composites designed using the concept of transformational optics. Theoretical concepts introduced here are illustrated by finite element computations.Comment: This is a book chapter. 22 pages, 7 figure