报告人：刘晓东
报告地点：数学与统计学院108室
报告时间：2018年05月29日星期二08:30-09:30
邀请人：
报告摘要：
The inverse scattering problems have been popular for the past thirty years.While very successful in many cases, progress has lagged when only limited-aperture measurement is available. In this paper, we perform some elementary study to recover data that can not be measured directly. To be precise, we aim at recovering the full-aperture far field data from limited-aperture measurement. Due to the reciprocity relation, the multi-static response matrix (MSR) has a symmetric structure.Using the Green's formula and single layer potential, we propose two schemes to recover full-aperture MSR. The recovered data is tested by a recently proposed direct sampling method and the factorization method. The numerical results show the possibility to recover, at least partially, the missing data and consequently improve the reconstruction of the scatterer.
主讲人简介：
Dr. Xiaodong Liu received his PhD degree in applied mathematics from Graduate University of Chinese Academy of Sciences in 2010. He was a Humboldt Research Fellow in Karlsruhe Institute of Technology, Germany, from 2011 to 2013. In 2012, he joined Academy of Mathematics and Systems Science (AMSS), Chinese Academy of Sciences, Beijing, as a Assistant Professor, where he was promoted to Associate Professor in Applied Mathematics in 2015. His current research focus on the uniqueness and numerical methods in inverse scattering problems. In 2014, he was selected as a Chen Jingrun star of the future by the AMSS. In 2015, he was a co-recipient of the Inspur Youth Academic Award during International conference on inverse problems, imaging, and applications. In 2017, he was selected as a member of the Youth Innovation Promotion Association, CAS.
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