Co-inversion of a scattering cavity and its internal sources: uniqueness, decoupling and imaging. (1st June 2023)

• Record Type: Journal Article
• Authors: Zhang, Deyue; Guo, Yukun; Wang, Yinglin; Chang, Yan
• Is Part Of: Inverse problems. Volume 39:Number 6(2023)
• Publication Date: 2023-06-01
• Subjects: co-inversion problem -- inverse cavity scattering -- inverse source problem -- optimization method -- sampling method; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/1361-6420/accc4f
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: This paper concerns the simultaneous reconstruction of a sound-soft cavity and its excitation sources from the total-field data. Using the single-layer potential representations on two measurement curves, this co-inversion problem can be decoupled into two inverse problems: an inverse cavity scattering problem and an inverse source problem. This novel decoupling technique is fast and easy to implement since it is based on a linear system of integral equations. Then the uncoupled subproblems are respectively solved by the modified optimization and sampling method. We also establish the uniqueness of this co-inversion problem and analyze the stability of our method. Several numerical examples are presented to demonstrate the feasibility and effectiveness of the proposed method.