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

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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]

 

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