Data completion algorithms and their applications in inverse acoustic scattering with limited-aperture backscattering data
A/Prof. Xiao-Dong Liu
Academy of Mathematics and Systems Science, CAS

We introduce two data completion algorithms for the limited-aperture problems in inverse acoustic scattering. Both completion algorithms are independent of the topological and physical properties of the unknown scatterers. The main idea is to relate the limited-aperture data to the full-aperture data via the prolate matrix. The data completion algorithms are simple and fast since only the approximate inversion of the prolate matrix is involved. We then combine the data completion algorithms with imaging methods such as factorization method and direct sampling method for the object reconstructions. A variety of numerical examples are presented to illustrate the effectiveness and robustness of the proposed algorithms.

About the Speaker

刘晓东, 2010年博士毕业于中国科学院数学与系统科学研究院,之后留所工作并先后担任助理研究员和副研究员, 2011年至2013年在德国卡尔斯鲁厄理工学院做洪堡学者,2014年入选中科院数学院陈景润未来之星计划,2015年获浪潮优秀青年学术奖,   2018年入选中科院青年创新促进会,2019年受邀在第八届华人数学家大会做45分钟报告。刘晓东博士的主要研究方向是偏微分方程反问题,在波反散射的唯一性和数值算法方面做了很多工作,目前为止在SISC, SIAP, SIIMS, IP, IPI, JCP, JDE等重要期刊发表40余篇文章.

2021-12-03 2:00 PM
Room: Tencent Meeting
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