THE INTERIOR INVERSE SCATTERING PROBLEM FOR A TWO-LAYERED CAVITY USING THE BAYESIAN METHOD

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

10 Scopus Citations
View graph of relations

Author(s)

Related Research Unit(s)

Detail(s)

Original languageEnglish
Pages (from-to)673-690
Journal / PublicationInverse Problems and Imaging
Volume16
Issue number4
Online publishedNov 2021
Publication statusPublished - Aug 2022

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.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review