The interior inverse scattering problem for a two-layered cavity using the Bayesian method
Yunwen Yin, Weishi Yin, Pinchao Meng, Hongyu Liu
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>
Topics & Concepts
Markov chain Monte CarloInverse problemBayesian probabilityPosterior probabilityInverse scattering problemPoint (geometry)Computer scienceAlgorithmScatteringInverseDistribution (mathematics)Applied mathematicsInterior point methodMathematical optimizationMathematicsMathematical analysisPhysicsGeometryOpticsArtificial intelligenceNumerical methods in inverse problemsMicrowave Imaging and Scattering AnalysisGeophysical Methods and Applications