报告题目： Direct imaging method for reconstructing penetrable locally rough surfaces from phaseless total-field data

报 告 人：张海文副研究员 中国科学院数学与系统科学研究院

报告时间：2023年4月4日 14:00-15:00

报告地点：腾讯会议 ID：685-3507-8479

会议链接：https://meeting.tencent.com/dm/BC9MYS0qZzMc

校内联系人：刁怀安 diao @ jlu.edu.cn

报告摘要： This talk is concerned with inverse scattering of time-harmonic acoustic plane waves by a two-layered medium with a locally rough interface in 2D. A direct imaging method is proposed to reconstruct the penetrable locally rough surface from the phaseless total-field data measured on the upper part of the circle with a sufficiently large radius. The presence of the two-layered background medium leads to the difficulties in the theoretical analysis of our inversion method. To overcome the difficulties, we give the asymptotic analysis for relevant oscillatory integrals. It is worth mentioning that our recent work [L. Li, J. Yang, B. Zhang and H. Zhang, arXiv:2208.00456] on the uniform far-field asymptotics of the scattered wave to the acoustic two-layered medium scattering problem provides a theoretical foundation for the proposed direct imaging method. Finally, numerical experiments are carried out to demonstrate the feasibility and robustness of our imaging algorithm.

报告人简介:中国科学院数学与系统科学研究院副研究员。2013年博士毕业于中国科学院数学与系统科学研究院。研究方向为声波、弹性波与电磁波反散射问题。2018年获全国反问题年会“曙光青年学术奖”。2019年入选中国科学院数学与系统科学研究院“陈景润未来之星”计划。2021年入选中国科学院“青年创新促进会”会员。在 SIAM J. Appl. Math.、SIAM J. Imaging Sci.、SIAM J. Sci. Comput.、Inverse Problems、J. Comput. Phys. 等学术期刊上发表论文20余篇。