报告题目： Time-Domain Direct Sampling Method for Inverse Electromagnetic Scattering with a Single Incident Source

报 告 人：汪贤超 副教授  哈尔滨工业大学

报告时间：2025年 6月16日 16：30—17：30

报告地点：数学楼三楼研讨室6

校内联系人： 吕俊良 [email protected]

报告摘要：In this paper, we consider an inverse electromagnetic medium scattering problem of reconstructing unknown objects from time-dependent boundary measurements. A novel time-domain direct sampling method is developed for determining the locations of unknown scatterers by using only a single incident source. Notably, our method imposes no restrictions on the waveform of the incident wave. Based on the Fourier--Laplace transform, we first establish the connection between the frequencydomain and the time-domain direct sampling method. Furthermore, we elucidate the mathematical mechanism of the imaging functional through the properties of modified Bessel functions. Theoretical justifications and stability analyses are provided to demonstrate the effectiveness of the proposed method. Finally, several numerical experiments are presented to illustrate the feasibility of our approach.

报告人简介：汪贤超，哈尔滨工业大学副教授。2019年毕业于哈尔滨工业大学，获理学博士学位。目前研究领域为数学物理反问题，主要集中于反散射问题的数值分析与计算，涵盖波源反演、目标追踪、超声测温、超分辨率成像以及共振隐形等方向。迄今为止，已在SCI期刊上发表论文20余篇。主持国家自然科学基金青年项目和面上项目，并于2019年入选香江学者，2023年入选洪堡学者。