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arXiv · 2005.10588

Spatio-Temporal Mode-locking in Quadratic Nonlinear Media

Mahmut Bağcı·J. Nathan Kutz
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Abstract

A new theoretical model is developed to characterize spatio-temporal mode-locking (ML) in quadratic nonlinear media. The model is based on the two-dimensional nonlinear Schr\"odinger 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 mode-locking 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 spatio-temporal mode-locking of the astigmatic steady-state solutions is possible in quadratic nonlinear media.

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Mahmut Bağcı, J. Nathan Kutz. 2020-05-21. Spatio-Temporal Mode-locking in Quadratic Nonlinear Media. https://doi.org/10.1103/physreve.102.022205

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