We analyze the formation of localized structures in cavity-enhanced second-harmonic generation. We focus on the phase-matched limit, and consider that fundamental and generated waves have opposite signs of group velocity dispersion. We show that these states form due to the locking of domain walls connecting two stable homogeneous states of the system, and undergo collapsed snaking. We study the impact of temporal walk-off on the stability and dynamics of these localized states. (C) 2020 Optical Society of America
Funding Agencies|VetenskapsradetSwedish Research Council [2017-05309]; European Research CouncilEuropean Research Council (ERC) [757800]; Fonds De La Recherche Scientifique-FNRSFonds de la Recherche Scientifique - FNRS; Ministry of Science and Higher Education of theRussian Federation [Y26.31.0017]