Determining a Multi-layered Fluid-solid Medium from the Acoustic Measurements  

作　　者：Yan-li CUI Feng-long QU 

机构地区：[1]School of Mathematics and Information Sciences,Yantai University,Yantai 264005,China

出　　处：《Acta Mathematicae Applicatae Sinica》2020年第1期67-73,共7页应用数学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(Nos.11871416,11771349,91730306);Shandong Provincial Natural Science Foundation(Nos.ZR2019MA027,ZR2017MA044)。

摘　　要：Consider the inverse problem of recovering a multi-layered fluid-solid medium from many acoustic measurements corresponding to time-harmonic acoustic plane waves.We prove that both the supports of the embedded solid obstacle and the surrounding layered fluid medium can be uniquely identified by means of acoustic far-field pattern for all incident wave fields at a fixed frequency.Our proof is based on the constructions of some well-posed partial differential equation systems in sufficiently small domains combined with the a priori estimates for the solutions of the forward scattering problem.

关 键 词：INVERSE SCATTERING fluid-solid INTERACTION multi-layered MEDIUM UNIQUENESS 

分 类 号：TB52[理学—物理]