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- W2912220965 abstract "Abstract The inverse scattering problem of determining a crack outside a known penetrable cavity from the measurements and point sources placed in a closed curve Λ inside the cavity is considered. The factorization method is used to reconstruct the crack on which the mixed-type boundary conditions are posed. To this end, we need to overcome two key difficulties. One of them is to find the relationship between the two data-to-data operators, which map the boundary data on the crack to the values of scattered fields on the closed curve Λ with outgoing radiation condition and incoming radiation condition, respectively. In addition, it is hard to decompose the near field operator in the usual way owing to the mixed-type boundary conditions. By the aid of an auxiliary operator, we can obtain the desired decomposition form in accordance with the theoretical framework of the factorization method." @default.
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- W2912220965 date "2019-10-01" @default.
- W2912220965 modified "2023-10-14" @default.
- W2912220965 title "Reconstruction of a crack with the incident waves and measurements inside a penetrable cavity" @default.
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- W2912220965 doi "https://doi.org/10.1515/jiip-2018-0023" @default.
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