On models of short pulse type in optical systems-数学中心
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On models of short pulse type in optical systems

Author:    Publicsh date:2018-07-24    Clicks:
Title: On models of short pulse type in optical systemsSpeaker: Yannan Shen, Assistant professor, California State University, Northridge   website: http://www.csun.edu/~yshen/Time: 14:30 - 15:20, July 24, 2018Location: Center for Mathematical Sciences, Room 813 Abstra​ct: In this talk we will discuss  short pulse typed equations for modeling high performance optical systems. In particular, w...


Title: On models of short pulse type in optical systems

Speaker: Yannan Shen, Assistant professor, California State University, Northridge   website: http://www.csun.edu/~yshen/
Time: 14:30 - 15:20, July 24, 2018

Location: Center for Mathematical Sciences, Room 813

 

Abstract:

In this talk we will discuss  short pulse typed equations for modeling high performance optical systems. In particular, we will derive the short pulse equation (SPE) in nonlinear metamaterials. For a larger class of equations including the SPE we will discuss different types of singularities. Finally, we will discuss that the SPE, as a continuation from the modified Korteweg de Vries equation, can relate to the nonlinear Schrodinger equation through  multi-scale ansatz as the pulse width varies from the ultra short regime to the classical slow varying envelope approximation.