207 citations · 528 across the 12 of their papers we have counts for
6 papers · 1 filter
Nonlinear surface impurity in a semi-infinite 2D square lattice
Mario I. Molina
We examine the formation of localized states on a generalized nonlinear impurity located at, or near the surface of a semi-infinite 2D square lattice. Using the formalism of lattic…
Discrete surface solitons in semi-infinite binary waveguide arrays
Mario I. Molina, Ivan L. Garanovich, Andrey A. Sukhorukov +1
We analyze discrete surface modes in semi-infinite binary waveguide arrays, which can support simultaneously two types of discrete solitons. We demonstrate that the analysis of lin…
Surface multi-gap vector solitons
Ivan L. Garanovich, Andrey A. Sukhorukov, Yuri S. Kivshar +1
We analyze nonlinear collective effects near surfaces of semi-infinite periodic systems with multi-gap transmission spectra and introduce a novel concept of multi-gap surface solit…
Observation of surface gap solitons in semi-infinite waveguide arrays
Christian R. Rosberg, Dragomir N. Neshev, Wieslaw Krolikowski +4
We report on the first observation of surface gap solitons, recently predicted to exist at the interface between uniform and periodic dielectric media with defocusing nonlinearity…
Two-color discrete localized modes and resonant scattering in arrays of nonlinear quadratic optical waveguides
M. I. Molina, R. A. Vicencio, Y. S. Kivshar
We analyze the properties and stability of two-color discrete localized modes in arrays of channel waveguides where tunable quadratic nonlinearity is introduced as a nonlinear defe…
Discrete solitons and nonlinear surface modes in semi-infinite waveguide arrays
M. I. Molina, R. A. Vicencio, Y. S. Kivshar
We discuss the formation of self-trapped localized states near the edge of a semi-infinite array of nonlinear waveguides. We study a crossover from nonlinear surface states to disc…