Time-Domain Direct Sampling Method for Inverse Scattering Problems

In this talk, we introduce the inverse 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 established the connection between the frequency-domain and the time-domain direct sampling method.

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。研究方向为数学物理反问题，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SIAM 系列期刊、Inverse Problems、Journal of Computational Physics,以及交叉学科 Nature 子刊 Nature Communications 等期刊上发表SCI论文25篇。主持国家自然科学基金2项，以及黑龙江省优秀青年基金，并于2019年入选香江学者计划，2023年入选洪堡学者计划。