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理学院“青年学术论坛”第8期——Scattering Resonances for Ph

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2014/6/16镜像同步0 回复
讲座题目:Scattering Resonances for Photonic Structures and Schrodinger Operators主讲人:Dr. Junshan Lin (Auburn University, USA)主持人:袁健华副教授时 间:2014年6月19日(周四)上午9:30-10:30地 点:主楼1214主要内容:Resonances are important in the study of transient phenomena associated with the wave equation, especially in understanding the large time behavior of the solution to the wave equation when radiation losses are small. In this talk, I will present recent studies on the scattering resonances for photonic structures and Schrodinger operators. I will begin with a study on the finite symmetric photoinc structure to illustrate the convergence behavior of resonances. Then a general perturbation approach will be introduced for the analysis of near bound-state resonances for both cases. In particular, it is shown that, for a finite one dimensional photonic crystal with a defect, the near bound-state resonances converge to the point spectrum of the infinite structure with an exponential rate when the number of periods increases. An analogous exponential decay rate also holds for the Schrodinger operator with a potential function that is a low-energy well surrounded by a thick barrier. The analysis also leads to a simple and accurate numerical approach to approximate the near bound-state resonances. This is a joint work with Prof. Fadil Santosa in University of Minnesota. 个人简介:请见附件或 http://www.auburn.edu/~jzl0097 附件:CV_LJS.pdf北京邮电大学理学院 2014年6月16日
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