講座主題：Modified sampling method with near field measurements
專家姓名：孟世旭
工作單位：中國科學(xué)院數(shù)學(xué)與系統(tǒng)科學(xué)研究院
講座時間：2021年12月21日 14:00-15:00
講座地點：騰訊會議,，會議ID: 194952083
主辦單位：煙臺大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院
內(nèi)容摘要：
This talk addresses the inverse scattering problems using sampling methods with near field measurements. The near field measurements appear in two classical inverse scattering problems: the inverse scattering for obstacles and the interior inverse scattering for cavities. We propose modified sampling methods to treat these two classical problems using near field measurements without making any asymptotic assumptions on the distance between the measurement surface and the scatterers. We provide theoretical justifications based on the factorization of the near field operator in both symmetric factorization case and non-symmetric factorization case. Furthermore, we introduce a data completion algorithm which allows us to apply the modified sampling methods to treat the limited-aperture inverse scattering problems. Finally numerical examples are provided to illustrate the modified sampling methods with both full- and limited- aperture near field measurements.
主講人介紹：
孟世旭，中國科學(xué)院數(shù)學(xué)與系統(tǒng)科學(xué)研究院副研究員,。2016年獲得美國特拉華大學(xué)博士學(xué)位,，之后在明尼蘇達大學(xué)IMA研究所,、布朗大學(xué)ICERM研究所做博士后研究員,、密歇根大學(xué)做博士后助理教授。2020年回國開始在中國科學(xué)院數(shù)學(xué)與系統(tǒng)科學(xué)研究院工作,。一直從事波傳播及其反問題的研究,，研究興趣包括采樣法,，反散射特征值問題，周期介質(zhì)波傳播等,。
