Author:
Yin Yunwen,Yin Weishi,Meng Pinchao,Liu Hongyu
Abstract
<p style='text-indent:20px;'>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.</p>
Publisher
American Institute of Mathematical Sciences (AIMS)
Subject
Control and Optimization,Discrete Mathematics and Combinatorics,Modelling and Simulation,Analysis,Control and Optimization,Discrete Mathematics and Combinatorics,Modelling and Simulation,Analysis
Reference30 articles.
1. H. Ammari, E. Iakovleva, D. Lesselier.A MUSIC algorithm for locating small inclusions buried in a half-space from the scattering amplitude at a fixed frequency, Multiscale Model. Simul., 3 (2005), 597-628.
2. Z. Bai, H. Diao, H. Liu and Q. Meng, Effective medium theory for embedded obstacles in elasticity with applications to inverse problems, preprint, arXiv: 2102.09291.
3. T. Bui-Thanh, O. Ghattas.An analysis of infinite dimensional Bayesian inverse shape acoustic scattering and its numerical approximation, SIAM/ASA J. Uncertain. Quantif., 2 (2014), 203-222.
4. A. Carpio, S. Iakunin and G. Stadler, Bayesian approach to inverse scattering with topological priors, Inverse Problems, 36 (2020), 29pp.
5. Y. T. Chow, Y. Deng, Y. He, H. Liu, X. Wang.Surface-localized transmission eigenstates, super-resolution imaging, and pseudo surface plasmon modes, SIAM J. Imaging Sci., 14 (2021), 946-975.
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