title: Simulation of two-dimensional Kerr photonic crystals via fast Fourier factorization.
abstract: We present an adaptation of the fast Fourier factorization method to the simulation of two-dimensional (2D) photonic crystals with a third-order nonlinearity. The algorithm and its performance are detailed and illustrated via the simulation of a Kerr 2D photonic crystal. A change in the transmission spectrum at high intensity is observed. We explain why the change does not reduce to a translation (redshift) but rather consists in a deformation and why one side of the bandgap is more suited to a switching application than the other one.
authors.affiliation: GEA, IUT de Ville d'Avray, Université Paris X, France. Jean-Jacques.Bonnefois@u-paris10.fr
authors.forename: J J
authors.initials: JJ
authors.lastname: Bonnefois
authors.forename: Géraldine
authors.initials: G
authors.lastname: Guida
authors.forename: Alain
authors.initials: A
authors.lastname: Priou
authors.forename: Michel
authors.initials: M
authors.lastname: Nevière
authors.forename: Evgeny
authors.initials: E
authors.lastname: Popov