Nonlinear localized modes at phase-slip defects in waveguide arrays

We study light localization at a phase-slip defect created by two semi-infinite mismatched identical arrays of coupled optical waveguides. We demonstrate that the nonlinear defect modes possess the specific properties of both nonlinear surface modes and discrete solitons. We analyze stability of the localized modes and their generation in both linear and nonlinear regimes.This work was supported by Fondecyt grants 1050193 and 7050173 in Chile and by the Australian Research Council in Australia. M. I. Molina thanks the Nonlinear Physics Center at the Australian National University for hospitality and financial support