讲座主题：The reference ball techniques for phaseless inverse scattering problems

专家姓名：郭玉坤

工作单位：哈尔滨工业大学

讲座时间：2021年11月23日 15:00-16:00

讲座地点：腾讯会议：209237945

主办单位：9728太阳集团数学与信息科学学院

内容摘要：

This talk is concerned with the recent studies 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.

主讲人介绍：

郭玉坤，哈尔滨工业大学数学学院副教授，博士生导师。本科和博士均毕业于吉林大学计算数学专业。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。在Inverse Problems、Journal of Differential Equations和Journal of Computational Physics等期刊发表学术论文三十余篇。曾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。