THE INTERIOR INVERSE SCATTERING PROBLEM FOR A TWO-LAYERED CAVITY USING THE BAYESIAN METHOD
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
Original language | English |
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Pages (from-to) | 673-690 |
Journal / Publication | Inverse Problems and Imaging |
Volume | 16 |
Issue number | 4 |
Online published | Nov 2021 |
Publication status | Published - Aug 2022 |
Link(s)
Abstract
In this paper, the Bayesian method is proposed for the interior inverse scattering problem to reconstruct the interface of a two-layered cavity. The scattered field is measured by the point sources located on a closed curve inside the interior interface. The well-posedness of the posterior distribution in the Bayesian framework is proved. The Markov Chain Monte Carlo algorithm is employed to explore the posterior density. Some numerical experiments are presented to demonstrate the effectiveness of the proposed method.
Research Area(s)
- Inverse scattering, two-layered cavity, Bayesian method, Markov Chain Monte Carlo algorithm, LINEAR SAMPLING METHOD
Citation Format(s)
THE INTERIOR INVERSE SCATTERING PROBLEM FOR A TWO-LAYERED CAVITY USING THE BAYESIAN METHOD. / Yin, Yunwen; Yin, Weishi; Meng, Pinchao et al.
In: Inverse Problems and Imaging, Vol. 16, No. 4, 08.2022, p. 673-690.
In: Inverse Problems and Imaging, Vol. 16, No. 4, 08.2022, p. 673-690.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review