title: Gap random-phase lattice solitons.
abstract: We theoretically study gap random-phase lattice solitons (gap-RPLSs) in nonlinear waveguide arrays with self-defocusing nonlinearity. We find that the intensity structure and statistical (coherence) properties of gap-RPLSs conform to the lattice periodicity, while their Floquet-Bloch power spectrum is multi-humped with peaks in the anomalous diffractions regions. It is shown that a gap-RPLS can be generated when a simple incoherent beam with bell-shaped power spectrum and single-hump intensity is launched at a proper angle into the waveguide array. The input incoherent beam evolves in the lattice while shedding off some radiation, and eventually attains the features of gap-RPLS.
authors.forename: Robert
authors.initials: R
authors.lastname: Pezer
authors.forename: Hrvoje
authors.initials: H
authors.lastname: Buljan
authors.forename: Jason
authors.initials: J
authors.lastname: Fleischer
authors.forename: Guy
authors.initials: G
authors.lastname: Bartal
authors.forename: Oren
authors.initials: O
authors.lastname: Cohen
authors.forename: Mordechai
authors.initials: M
authors.lastname: Segev