Bağcı, Mahmut2021-06-292021-06-292020-082470-0045https://hdl.handle.net/11411/3910https://doi.org/10.1103/PhysRevE.102.022205A theoretical model is developed to characterize spatiotemporal mode locking (ML) in quadratic nonlinear media. The model is based on the two-dimensional nonlinear Schrödinger equation with coupling to a mean term (NLSM) and constructed as an extension of the master mode-locking model. It is numerically demonstrated that there exists steady-state soliton solutions of the ML-NLSM model that are astigmatic in nature. A full stability analysis and bifurcation study is performed for the ML-NLSM model, and it is manifest that spatiotemporal ML of the astigmatic steady-state solutions is possible in quadratic nonlinear media.eninfo:eu-repo/semantics/openAccessArticle2-s2.0-8508988592410.1103/PhysRevE.102.02220532942408Q1WOS:000560660400003