Open AccessThe interior inverse scattering problem for a two-layered cavity using the Bayesian method
Author(s) -
Yunwen Yin,
Weishi Yin,
Pinchao Meng,
Hongyu Liu
Publication year - 2022
Publication title -
inverse problems and imaging
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.755
H-Index - 40
eISSN - 1930-8345
pISSN - 1930-8337
DOI - 10.3934/ipi.2021069
Subject(s) - markov chain monte carlo , inverse problem , bayesian probability , posterior probability , inverse scattering problem , point (geometry) , computer science , algorithm , scattering , inverse , distribution (mathematics) , mathematics , interior point method , mathematical optimization , mathematical analysis , physics , geometry , optics , artificial intelligence
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.