【反问题】系列学术报告（3）
题目: The reference ball techniques for phaseless inverse scattering problems
报告人： 郭玉坤, (副教授), 哈尔滨工业大学
时间：2020/11/24 周二 10：00-11：00
腾讯会议 ID：787 487 522
会议密码：201124
摘要：This talk is concerned with the recent progresses on the phaseless inverse scattering problems with auxiliary reference objects. By incorporating an additional reference ball to the scattering system and using the superposition of different incident waves, we rigorously prove that the location and shape of the obstacle as well as its boundary condition or the refractive index can be uniquely determined by the modulus of acoustic far-field patterns. A reference ball based iterative method is also developed to numerically reconstruct the location and shape of a sound-soft obstacle from phaseless far-field data. Numerical examples will be presented to illustrate the effectiveness of the proposed method.
报告人简介：郭玉坤，哈尔滨工业大学数学学院副教授。毕业于吉林大学数学研究所计算数学专业，获理学博士学位。研究领域为数学物理反问题，主要方向为波动方程反散射问题的数值分析与计算。已在“Inverse Problems”、“Journal of Differential Equations”和“Journal of Computational Physics”等期刊发表学术论文二十余篇。主持国家自然科学基金面上项目、青年基金和数学天元基金项目各1项，参与国家自然科学基金重大研究计划项目1项，面上项目3项。曾先后应邀访问美国特拉华大学，德国威尔斯特拉斯应用数学研究所，香港浸会大学和南方科技大学等单位，进行科研合作。
