讲座摘要

This talk is concerned with the inverse source problem of reconstructing an unknown acoustic excitation from multifrequency phaseless measurements. We develop a novel strategy to recover the radiated fields via adding some reference point sources. This technique leads to a simple phase retrieval formula. The stability of this approach is rigorously analyzed. Once the phase information is available, the multi-frequency inverse source problem is solved by the Fourier method. Some validating numerical examples will be presented to show the effectiveness of the proposed method.

个人简介

郭玉坤，哈尔滨工业大学数学学院副教授, 博士生导师。2010年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。目前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SCI检索学术论文20余篇。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。