Simultaneous recovery of an infinite rough surface and the impedance from near-field data
报告人:李建樑
报告地点:数学与统计学院二楼会议室
报告时间:2018年12月22日星期六16:30-17:30
邀请人:
报告摘要:
In this talk, we consider an inverse rough surface scattering problem in near-field optical imaging. This problem is actually to reconstruct the scattering surface as well as its impedance coefficient from multifrequency near-field data, and can be reduced into an integral scheme by employing an integral representation. We solve this integral scheme by a non-linear integral equation method, and further develop a fast inversion algorithm for reconstructing both the rough surface and the impedance coefficient. Numerical experiments are presented to illustrate the effectiveness of the algorithm.
主讲人简介:
李建樑,2009年6月本科毕业于中国农业大学理学院,2014年7月获中国科学院大学理学博士学位。2017年11月-2018年11月受国家留学基金委资助赴美国普渡大学数学系访问一年。主要研究领域为反散射问题的理论与数值方法、随机反散射问题的理论研究。主持国家自然科学基金青年项目一项,湖南省教育厅一般项目一项。在《Inverse Problems in Science and Engineering》、《Applicable Analysis》、《Computers and Mathematics with applications》、《SIAM Journal on Imaging Sciences》发表论文多篇。