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湖南大学数学与计量经济学院郑光辉博士讲学预告

题目:Mathematical analysis of plasmonic resonance for 2-D photonic crystal
时间:2019年4月30日(周二)14:30
地点:立志楼A422
主办:数学与计算科学学院
报告人简介:
      郑光辉,湖南大学数学与计量经济学院博士、副教授。主要研究方向包括:反问题的正则化理论及算法,等离子共振分析,隐形设计,超分辨成像。相关论文主要发表在《Inverse Problems》、 《SIAM Journal on Numerical Analysis》、 《Advances in Computational Mathematics》、 《Journal of Differential Equations》等学术期刊上。

报告摘要:
       In this paper, we consider the spectrum of the Neumann-Poincar/'{e} operator and its application in analysis of plasmonic resonance in some quasi-periodic structure. Based on the Plemelj’s symmetrization principle and the approximation of quasi-periodic Green’s function, we derive the asymptotic formulas for the plasmonic resonances, which lead to the direct numerical method for calculating the plasmonic resonances. It is expected to apply to super-resolution, super-focusing, enhance the brightness of light and confine strong electromagnetic fields.

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