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Time-Domain Direct Sampling Method for Inverse Electromagnetic Scattering with a Single Incident Source
时间:2025年06月16日 17:07 点击数:

报告人:汪贤超

报告地点:数学与统计学院二楼会议室

报告时间:2025年06月17日星期二15:40-16:20

邀请人:高忆先

报告摘要:

In this talk, we introduce 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.

主讲人简介:

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。

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