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。
