title: Stable three-dimensional spatiotemporal solitons in a two-dimensional photonic lattice.
abstract: We investigate the existence and stability of three-dimensional spatiotemporal solitons in self-focusing cubic Kerr-type optical media with an imprinted two-dimensional harmonic transverse modulation of the refractive index. We demonstrate that two-dimensional photonic Kerr-type nonlinear lattices can support stable one-parameter families of three-dimensional spatiotemporal solitons provided that their energy is within a certain interval and the strength of the lattice potential, which is proportional to the refractive index modulation depth, is above a certain threshold value.
authors.affiliation: ICFO-Institut de Ciencies Fotoniques and Department of Signal Theory and Communications, Universitat Politecnica de Catalunya, 08034 Barcelona, Spain.
authors.forename: D
authors.initials: D
authors.lastname: Mihalache
authors.forename: D
authors.initials: D
authors.lastname: Mazilu
authors.forename: F
authors.initials: F
authors.lastname: Lederer
authors.forename: Y V
authors.initials: YV
authors.lastname: Kartashov
authors.forename: L-C
authors.initials: LC
authors.lastname: Crasovan
authors.forename: L
authors.initials: L
authors.lastname: Torner