报告题目：Reverse time migration for inverse acoustic scattering by locally rough surfaces
报告人：李建樑，湖南师范大学 副教授 硕士生导师
时间、地点： 2023年11月8日（周三）16:30 腾讯会议 951-276-819
摘要: Consider the inverse scattering of time-harmonic acoustic scattering by an infinite rough surface which is supposed to be a local perturbation of a plane. A novel version of reverse time migration is proposed to reconstruct the shape and location of the rough surface. The method is based on a modified Helmholtz-Kirchhoff identity associated with a special rough surface, leading to a modified imaging functional which uses the near-field data generated by point sources as measurements. The modified imaging 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. By a novel mixed reciprocity relation, we first develop the reverse time migration method associated with the far-field data generated by plane waves. Numerical experiments are presented to show the powerful imaging quality.
报告专家简介：
李建樑，湖南师范大学数学与统计学院副教授，中国工业与应用数学学会反问题与成像专委会委员。2014年7月博士毕业于中国科学院数学与系统科学研究院应用数学所，2017年－2018年受国家留学基金委资助访问普渡大学数学系一年。主要研究领域为反散射问题的理论与数值方法、随机反散射问题的唯一性理论。在无穷曲面反散射问题的唯一性及数值方法，反随机源问题与反随机势问题的唯一性方面取得一系列成果。成果发表于SIAM系列、IP、CPDE、JCP、IPI等期刊。主持国家自然科学基金面上项目、青年项目各1项。