赖俊教授（浙江大学）

刘歆 研究员

Far field model of acoustic time reversal method in a layered medium

11月3日（周一）20：00-21：00，南楼714

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.