带有传导边界的两层空腔介质反散射问题  

Inverse Scattering Problem of Two-Layer Cavity Medium with Conductive Boundary

作　　者：吴宗娟 曲风龙[1] WU Zongjuan;QU Fenglong(School of Mathematics and Information Sciences,Yantai University,Yantai 264005,China)

机构地区：[1]烟台大学数学与信息科学学院,山东烟台264005

出　　处：《烟台大学学报(自然科学与工程版)》2025年第2期134-142,共9页Journal of Yantai University(Natural Science and Engineering Edition)

基　　金：国家自然科学基金资助项目(11871416)。

摘　　要：研究时谐声波在带有传导边界的两层空腔介质中传播的反散射问题。基于近场测量数据,利用因式分解方法反演传导边界空腔内部界面的形状和位置,并实施数值算例,验证数值反演算法的有效性。This article investigates the inverse scattering problem of time-harmonic sound waves propagating through a two-layer cavity medium with conduction boundaries.Using near-field measurement data,we developed a factorization method to invert the shape and position of the internal interface of the cavity with conducting boundaries.Numerical examples were implemented to verify the effectiveness of the proposed numerical inversion algorithm.

关 键 词：分解方法 反散射问题 声学散射 近场数据 

分 类 号：O242.1[理学—计算数学]