报告时间：2024年11月15日（星期五）上午8:30-9:30

报告地点：理学楼609报告厅

报告题目：A novel inverse scattering method using localized incidence with enhanced imaging resolution

报告摘要: This talk is concerned with the reconstruction of the shape of an acoustic obstacle. Based on the use of the locally focusing waves with very narrow widths illuminating the obstacle, the boundary of the obstacle is reconstructed by a direct imaging algorithm. The stability of the imaging scheme is mathematically analyzed. Unlike the incident plane waves or point sources, we emphasize that locally focusing waves with narrow widths bring several benefits in the inverse scattering: 1. local property. A locally focusing wave can illuminate only on a local part of the boundary of the obstacle, which generates the scattered field; 2. high resolution. We need only reconstruct the boundary near the beam, which improves the quality of some well-known algorithms; 3. fast and easy to implement. Numerical examples are included to demonstrate the effectiveness of the locally focusing waves.

报告人简介：吉林大学数学学院教授、博士生导师。1998年毕业于吉林大学数学学院信息与计算科学专业，获学士学位，2004年毕业于吉林大学数学研究所计算数学专业，获理学博士学位。目前研究领域为数学物理反问题，主要方向为波动方程反散射问题的数值分析与计算。已在“Inverse Problems”、“Advances in Computational Mathematics”和“Journal of Computational Physics”等期刊发表多篇SCI检索学术论文，其中一篇论文入选反问题领域国际著名期刊“Inverse Problems”的2017年度“亮点论文”（Editorial Highlights），另一篇入选该期刊2018年度“Top论文”（Editor-in-Chief’s top article selection）并荣获英国物理学会高被引论文奖。主持国家自然科学基金面上项目三项。