Spatio-Temporal Mode-locking in Quadratic Nonlinear Media
Optics
2020-08-19 v1 Pattern Formation and Solitons
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.
Cite
@article{arxiv.2005.10588,
title = {Spatio-Temporal Mode-locking in Quadratic Nonlinear Media},
author = {Mahmut Bağcı and J. Nathan Kutz},
journal= {arXiv preprint arXiv:2005.10588},
year = {2020}
}
Comments
9 pages, 7 Figures