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数理学院学术论坛:On models of short pulse type in optical systems

发布日期:2017/12/29      点击:[]

报告名称:On models of short pulse type in optical systems
报告人:沈燕南
报告时间:2017年12月30日(周六)上午9:30-10:30
报告地点:崂山校区D2数理楼210
主要内容:In this talk we will discuss three related equations for modeling high performance optical systems: the short pulse equation (SPE), the nonlinear Schrodinger equation (NLS) and the complex Ginzburg-Landau equation. In particular, we will derive the SPE in nonlinear metamaterials in both one and two dimensions. We use a multi-scale ansatz to relate the SPE to the NLS, as the pulse width varies from the ultra short regime to the classical slow varying envelope approximation. We study a simple discrete transmission line model that captures the left-handed property of metamaterials. Using a continuous NLS approximation to this discrete model we accurately predict the focusing and defocusing threshold frequency observed in laboratory experiments. Finally, we will discuss some recent numerical results which demonstrate that short pulse fiber lasers with balanced gain and loss, modeled by the complex Ginzburg-Landau equation, can support high-power stable pulses across  the zero dispersion point.

报告人简介:沈燕南,理学博士,美国加利福尼亚州立大学数学系助理教授。美国明尼苏达大学数学及其应用研究所博士后,先后任美国德克萨斯大学助理研究员及美国南方卫理公会大学访问助理教授。近年来发表SCI论文15篇。


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