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UNIQUENESS OF INVERSE TRANSMISSION SCATTERING WITH A CONDUCTIVE BOUNDARY CONDITION BY PHASELESS FAR FIELD PATTERN

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摘要 In this paper,we establish the unique determination result for inverse acoustic scattering of a penetrable obstacle with a general conductive boundary condition by using phaseless far field data at a fixed frequency.It is well-known that the modulus of the far field pattern is invariant under translations of the scattering obstacle if only one plane wave is used as the incident field,so it is impossible to reconstruct the location of the underlying scatterers.Based on some new research results on the impenetrable obstacle and inhomogeneous isotropic medium,we consider different types of superpositions of incident waves to break the translation invariance property.
作者 向建立 严国政 Jianli XIANG;Guozheng YAN(Three Gorges Mathematical Research Center,College of Science,China Three Gorges University,Yichang,443002,China;School of Mathematics and Statistics,Central China Normal University,Wuhan,430079,China)
出处 《Acta Mathematica Scientia》 SCIE CSCD 2023年第1期450-468,共19页 数学物理学报(B辑英文版)
基金 supported by NSFC(11571132)。
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