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必威、所2024年系列学术活动(第027场):赖俊 研究员 浙江大学

发表于: 2024-04-24   点击: 

报告题目:Far field model of acoustic time reversal method in a layered medium

报 告 人:赖俊 研究员 浙江大学

报告时间:2024年4月26日 14:30–15:30

报告地点:数学楼三楼 研讨室5

校内联系人:董和平 dhp@jlu.edu.cn


报告摘要:

This talk is concerned with the so-called DORT method that uses the eigenfunctions of time-reversal operator to determine the locations of small impenetrable scatterers buried in the lower half-space of an unbounded two-layered medium. We give a rigorous mathematical justification for the DORT method under sound-soft and sound-hard boundary conditions in a two-layered medium. Based on the limited-aperture time-harmonic far field model and an asymptotic analysis for small and distant particles, we show that each sound-soft and sound-hard buried particle gives rise to one and three significant eigenvalues, respectively. Utilizing the imaging result as an initial guess, a Bayesian inversion scheme is proposed to reconstruct the shape of multiple buried extended scatterers more accurately, whose efficiency is illustrated by numerical experiments.


报告人简介:

赖俊,美国密歇根州立大学应用数学博士毕业,曾任纽约大学柯朗数学研究所博士后及讲师,目前任浙江大学数学科学学院研究员,长聘副教授,主要研究声波,电磁波及弹性波方程的散射与反散射问题,在数学知名杂志ACHA,SISC,Math Comp,Inverse Problems等发表文章多篇,主持国家面上项目,并参与基金委重大研究计划,基金委创新群体等研究,2016年入选中组部海外高层次青年人才计划,2019年获十一届全国反问题年会“优秀青年学术奖”,2022年获浙江大学-小米青年学者称号。