講座主題：The reference ball techniques for phaseless inverse scattering problems
專家姓名：郭玉坤
工作單位：哈爾濱工業大學
講座時間：2021年11月23日 15:00-16:00
講座地點：騰訊會議：209237945
主辦單位：煙臺大學數學與信息科學學院
內容摘要：
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.
主講人介紹：
郭玉坤，哈爾濱工業大學數學學院副教授，博士生導師。本科和博士均畢業于吉林大學計算數學專業。研究領域為數學物理反問題，主要方向為波動方程反散射問題的數值分析與計算。在Inverse Problems、Journal of Differential Equations和Journal of Computational Physics等期刊發表學術論文三十余篇。曾應邀訪問美國特拉華大學，德國威爾斯特拉斯應用數學研究所，香港浸會大學和南方科技大學等單位，進行科研合作。
