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- Title
The factorization method for a penetrable cavity scattering with interior near-field measurements.
- Authors
Wu, Qinghua; Guo, Jun; Yan, Guozheng
- Abstract
This paper is concerned with the inverse scattering problem of time-harmonic acoustic waves from a penetrable cavity bounded by a layered structure and seeks to determine the shape and location of the cavity from interior near-field measurements. Of particular interest is that the near-field operator does not satisfy the main theorem of the factorization method, so we introduce a modified near-field operator and prove that it can be used to reconstruct the cavity. Numerical examples demonstrate the feasibility and effectiveness of our algorithm.
- Subjects
FACTORIZATION; SOUND waves; INVERSE problems
- Publication
Journal of Inverse & Ill-Posed Problems, 2023, Vol 31, Issue 1, p19
- ISSN
0928-0219
- Publication type
Article
- DOI
10.1515/jiip-2018-0111