Imaging of buried obstacles in a two-layered medium with phaseless far-field data
报告人：张海文
报告地点：腾讯会议
报告时间：2020年06月06日星期六15:45-16:45
邀请人：刁怀安
报告摘要：
The inverse problem we consider is to reconstruct the location and shape of buried obstacles in the lower half-space of an unbounded two-layered medium in two dimensions from phaseless far-field data. A main difficulty of this problem is the translation invariance property of the modulus of the far-field pattern generated by one plane wave as the incident field, which is similar to the homogenous background medium case. So it is impossible to determine the location of the obstacles from such phaseless far-field data. Based on the idea of using superpositions of two plane waves with different directions as the incident fields, we first develop a direct imaging method to locate the position of small anomalies and give a theoretical analysis of the algorithm. Then a recursive Newton-type iteration algorithm in frequencies is proposed to reconstruct extended obstacles. Finally, numerical experiments are presented to illustrate the feasibility of our algorithms.
会议网址：https://meeting.tencent.com/s/2HBPPYuOR0WE
会议ID：343 274 257
会议密码：202006
主讲人简介：
中国科学院数学与系统科学研究院所聘副研究员。研究方向为声波与电磁波反散射问题。在 SIAM J. Appl. Math.、SIAM J. Imaging Sci.、SIAM J. Sci. Comput.、Inverse Problems 等学术期刊上发表论文20篇。曾主持完成中国博士后科学基金项目和国家自然科学基金青年项目。目前正在主持国家自然科学基金面上项目。
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