论文标题
二次非线性介质中的时空模式锁定
Spatio-Temporal Mode-locking in Quadratic Nonlinear Media
论文作者
论文摘要
开发了一种新的理论模型来表征二次非线性介质中的时空模式锁定（ML）。该模型基于二维非线性schrödinger方程，并耦合到平均项（NLSM），并作为主模式锁定模型的扩展构建。从数值上证明，ML-NLSM模式锁定模型的稳态孤子解决方案本质上是散热性的。针对ML-NLSM模型进行了全面的稳定性分析和分叉研究，并且很明显，在二次非线性介质中，可以使用散光稳态溶液的时空模式锁定。
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 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 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.
