Reconstruction of a penetrable cavity and the external obstacle. Issue 10 (27th July 2018)

• Record Type: Journal Article
• Authors: Guo, J.; Ning, D.; Yan, G.; Wu, Qinghua
• Is Part Of: Applicable analysis. Volume 97:Issue 10(2018)
• Page Start: 1730
• Page End: 1750
• Publication Date: 2018-07-27
• Subjects: Inverse scattering -- penetrable cavity -- the factorization method -- the linear sampling method; 34L25; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2017.1336544
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract: The inverse acoustic scattering of point sources by a penetrable cavity and the external obstacle is considered. Making use of the internal measurements of scattered field on a closed curve inside the cavity, we first derive a factorization method which provides a rigorous characterization of the support of the cavity without knowing the external object. Then under the condition of the cavity is known in advance, we show that the linear sampling method can be applied to recover the outside obstacle with the help of some Green function.