Molina, Mario I.Kivshar, Yuri2016-03-152016-03-150740-3224http://hdl.handle.net/1885/100436We study two-color surface solitons in two-dimensional photonic lattices with quadratic nonlinear response. We demonstrate that such parametrically coupled optical localized modes can exist in the corners or at the edges of a square photonic lattice, and we analyze the impact of the phase mismatch on their properties, stability, and the threshold power for their generation.This work was supported by Fondecyt Grant 1080374 and by the Australian Research Council.4 pages© 2009 Optical Society of Americatwo-colorsurfacesolitonstwo-dimensionalphotoniclatticequadraticnonlinearresponse2009-0810.1364/JOSAB.26.0015452016-06-14