Mathematical theory of wave scattering by subwavelength resonators and applications
报告人：张海
报告地点：数学与统计学院二楼会议室
报告时间：2018年05月30日星期三09:10-09:50
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报告摘要：
In this talk, we will present the recent development of mathematical theory of wave scattering by subwavelength resonators. We will take air-bubble as an example and consider the resonant scattering by a single bubble, a system of dilute bubbles and periodic array of bubbles. For a single bubble, we will derive asymptotic analysis for the Minnaert resonance. For dilute bubbles, we will show how to achieve an effective high contrast media which lead to super-focusing of wave field, and an effective double negative index media which lead to superlensing effect. For periodic bubbles,we will show a subwavelength band-gap opening, and further develop a high frequency homogenization theory for the wave propagation.
主讲人简介：
张海，香港科技大学，助理教授。2013年博士毕业于美国密西根州立大学，2013-2015法国巴黎高师博士后，2015年进入香港科技大学。主要从事波动散射问题理论和相关在反问题和成像中的应用。在《 J. Amer. Math. Soc.》，《 Comm. Math. Phys.》，《 Arch. Ration. Mech. Anal.》 《 Comm. Partial Differential Equations》、《 Trans. Amer. Math. Soc.》等国际主流数学杂志上发表科研论文多篇。
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