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• W3212707352 abstract "The factorization method by Kirsch (1998) provides a necessary and sufficient condition for characterizing the shape and position of an unknown scatterer by using far-field patterns of infinitely many time-harmonic plane waves at a fixed frequency. This paper is concerned with the factorization method with a single far-field pattern to recover a convex polygonal scatterer/source. Its one-wave version relies on the absence of analytical continuation of the scattered/radiated wave-fields in corner domains. It can be regarded as a domain-defined sampling method and does not require forward solvers. In this paper we provide a rigorous mathematical justification of the one-wave factorization method and present some preliminary numerical examples. In particular, the proposed scheme can be interpreted as a model-driven and data-driven method, because it essentially depends on the scattering model and a priori given emph{sample data}." @default.
• W3212707352 created "2021-11-22" @default.
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• W3212707352 date "2021-12-01" @default.
• W3212707352 modified "2023-10-02" @default.
• W3212707352 title "Factorization method with one plane wave: from model-driven and data-driven perspectives" @default.
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• W3212707352 doi "https://doi.org/10.1088/1361-6420/ac38b5" @default.
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