讲座主题：Modified sampling method with near field measurements

专家姓名：孟世旭

工作单位：中国科学院数学与系统科学研究院

讲座时间：2021年12月21日 14:00-15:00

讲座地点：腾讯会议，会议ID: 194952083

主办单位：9728太阳集团数学与信息科学学院

内容摘要：

This talk addresses the inverse scattering problems using sampling methods with near field measurements. The near field measurements appear in two classical inverse scattering problems: the inverse scattering for obstacles and the interior inverse scattering for cavities. We propose modified sampling methods to treat these two classical problems using near field measurements without making any asymptotic assumptions on the distance between the measurement surface and the scatterers. We provide theoretical justifications based on the factorization of the near field operator in both symmetric factorization case and non-symmetric factorization case. Furthermore, we introduce a data completion algorithm which allows us to apply the modified sampling methods to treat the limited-aperture inverse scattering problems. Finally numerical examples are provided to illustrate the modified sampling methods with both full- and limited- aperture near field measurements.

主讲人介绍：

孟世旭，中国科学院数学与系统科学研究院副研究员。2016年获得美国特拉华大学博士学位，之后在明尼苏达大学IMA研究所、布朗大学ICERM研究所做博士后研究员、密歇根大学做博士后助理教授。2020年回国开始在中国科学院数学与系统科学研究院工作。一直从事波传播及其反问题的研究，研究兴趣包括采样法，反散射特征值问题，周期介质波传播等。