报告题目： The reverse time migration for inverse scattering by local rough surfaces

报 告 人：杨家青教授 西安交通大学

报告时间：2023年 4月 7日 10:00-11:00

报告地点：腾讯会议 ID：854-1722-5585

会议链接：https://meeting.tencent.com/dm/FGrbTYZp7mze

校内联系人：刁怀安diao @ jlu.edu.cn

报告摘要：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.

报告人简介：杨家青，西安交通大学数学与统计学院教授，研究方向为反问题的数学理论与计算方法，主要包括波的散射与反散射、流体力学方程反问题、偏微分方程反问题的一般理论等。在IP、SIAM J. Numer. Anal.、SIAM J. Appl. Math.、SIAM J. Sci. Comput.、SIAM J. Imaging Sci.、JCP、JDE等国际学术期刊发表学术论文30余篇。曾获得国家“优青”项目的资助、中国工业与应用数学学会“应用数学青年科技奖”、陕西省百人计划青年项目等。