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Computational & Applied Math Seminar

Localized resonance and its applications in imaging and cloaking

  • 演讲者:邓又军(中南大学)

  • 时间:2021-07-23 10:00-11:00

  • 地点:腾讯会议 ID 371 918 372

Abstract 

In this talk, we shall introduce the notions of localized resonances. Usually these problems are related to the spectral of the Neumann-Poincare operators in different models. As an example, we provide a mathematical framework for localized plasmon resonance of nanoparticles. Using layer potential techniques associated with the full Maxwell equations, we derive small-volume expansions for the electro-magnetic fields, which are uniformly valid with respect to the nanoparticle’s bulk electron relaxation rate. Then, we discuss the scattering and absorption enhancements by plasmon resonant nanoparticles. Finally, we show the applications of localized resonance in imaging and cloaking. 


Short-bio 
邓又军,中南大学数学与统计学院教授,博士生导师、信息与计算科学系主任。湖南省杰出青年基金获得者、中国工业与应用数学会理事、湖南省计算数学与应用软件学会理事、美国数学评论《Math Review》评论员。主要研究领域为应用数学和计算数学,包括数学物理中的反问题、波的成像和隐形、偏微分方程、超材料、积分算子谱理论和数值计算等。