title: Diffractive resonant radiation emitted by spatial solitons in waveguide arrays.
abstract: We study analytically and numerically the diffractive resonant radiation emitted by spatial solitons, which is generated in waveguide arrays with Kerr nonlinearity. The phase matching condition between solitons and radiation is derived and studied for the first time and agrees well with direct pulse propagation simulations. The folded dispersion due to the Brillouin zone leads to a peculiar anomalous soliton recoil that we describe in detail.
authors.affiliation: Max Planck Institute for the Science of Light, Günther-Scharowsky Strasse 1, 91058 Erlangen, Germany and Department of Physics, Le Quy Don University, 236 Hoang Quoc Viet Street, 10000 Hanoi, Vietnam.
authors.forename: Truong X
authors.initials: TX
authors.lastname: Tran
authors.affiliation: Max Planck Institute for the Science of Light, Günther-Scharowsky Strasse 1, 91058 Erlangen, Germany and School of Engineering and Physical Sciences, Heriot-Watt University, EH14 4AS Edinburgh, United Kingdom.
authors.forename: Fabio
authors.initials: F
authors.lastname: Biancalana