Simultaneous recovery of a locally rough interface and the embedded obstacle with its surrounding medium. (1st April 2022)

• Record Type: Journal Article
• Authors: Yang, Jiaqing; Li, Jianliang; Zhang, Bo
• Is Part Of: Inverse problems. Volume 38:Number 4(2022)
• Publication Date: 2022-04-01
• Subjects: inverse acoustic scattering -- Lippmann–Schwinger equation -- uniqueness -- rough interface -- embedded obstacle; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/1361-6420/ac572a
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: Consider the problem of scattering of time-harmonic point sources by an infinite locally rough interface with bounded obstacles embedded in the lower half-space. The model problem is first reduced to an equivalent integral equation formulation defined in a bounded domain, where the well-posedness is obtained in L p by the classical Fredholm theory. Then a global uniqueness theorem is proved for the inverse problem of recovering the locally rough interface, the embedded obstacles and the wave number in the lower-half space by means of near-field measurements above the interface.