報告題目： The reverse time migration for inverse scattering by local rough surfaces
報 告 人：楊家青教授 西安交通大學
報告時間：2023年 4月 7日 10:00-11:00
報告地點：騰訊會議 ID：854-1722-5585
會議鍊接：https://meeting.tencent.com/dm/FGrbTYZp7mze
校内聯系人：刁懷安diao @ jlu.edu.cn
報告摘要：This talk is concerned with the inverse scattering of time-harmonic point sources by a locally rough surface. A novel reverse time migration method is proposed for reconstructing the shape and location of the rough surface. The method relies on a modified Helmholtz-Kirchhoff identity associated with a special rough surface, leading to a modified imaging functional. It is shown that the functional always reaches a peak on the boundary of the rough surface for sound-soft case and penetrable case, and hits a nadir on the boundary of the rough surface for sound-hard case. Numerical experiments are presented to show the powerful imaging quality especially for multi-frequency data.
報告人簡介：楊家青，西安交通大學數學與統計學院教授，研究方向為反問題的數學理論與計算方法，主要包括波的散射與反散射、流體力學方程反問題、偏微分方程反問題的一般理論等。在IP、SIAM J. Numer. Anal.、SIAM J. Appl. Math.、SIAM J. Sci. Comput.、SIAM J. Imaging Sci.、JCP、JDE等國際學術期刊發表學術論文30餘篇。曾獲得國家“優青”項目的資助、中國工業與應用數學學會“應用數學青年科技獎”、陝西省百人計劃青年項目等。
