A novel time-domain direct sampling approach for inverse scattering problems in acoustics

Organizer

Hongjie Li 李宏杰 （YMSC）

Speaker

Xianchao Wang 汪贤超

哈尔滨工业大学

Time

Fri., 13:00-14:00, May 9, 2025

Venue

C654, Shuangqing Complex Building A

Abstract

This work is concerned with an inverse scattering problem of determining unknown scatterers from time-dependent acoustic measurements. A novel time-domain direct sampling method is developed to efficiently determine both the locations and shapes of inhomogeneous media. In particular, our approach is very easy to implement since only cheap space-time integrations are involved in the evaluation of the imaging functionals. Using the Fourier--Laplace transform, we establish an inherent connection between the time-domain and frequency-domain direct sampling methods. Furthermore, rigorous theoretical justifications and extensive numerical experiments are provided to verify the validity and feasibility of the proposed methods.

汪贤超

Xianchao Wang

汪贤超，哈尔滨工业大学数学学院副教授、博士生导师。2019年毕业于哈尔滨工业大学，获理学博士学位。目前研究领域为反问题数值分析与计算。

个人主页：

http://homepage.hit.edu.cn/wangxianchao