報告題目： Direct imaging method for reconstructing penetrable locally rough surfaces from phaseless total-field data
報 告 人：張海文副研究員 中國科學院數學與系統科學研究院
報告時間：2023年4月4日 14:00-15:00
報告地點：騰訊會議 ID：685-3507-8479
會議鍊接：https://meeting.tencent.com/dm/BC9MYS0qZzMc
校内聯系人：刁懷安 diao @ jlu.edu.cn
報告摘要： 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.
報告人簡介:中國科學院數學與系統科學研究院副研究員。2013年博士畢業于中國科學院數學與系統科學研究院。研究方向為聲波、彈性波與電磁波反散射問題。2018年獲全國反問題年會“曙光青年學術獎”。2019年入選中國科學院數學與系統科學研究院“陳景潤未來之星”計劃。2021年入選中國科學院“青年創新促進會”會員。在 SIAM J. Appl. Math.、SIAM J. Imaging Sci.、SIAM J. Sci. Comput.、Inverse Problems、J. Comput. Phys. 等學術期刊上發表論文20餘篇。
