A decomposition method for an interior inverse scattering problem

DOI10.3934/ipi.2013.7.291zbMath1273.78012OpenAlexW2317049190MaRDI QIDQ1951315

Fang Zeng, Jiguang Sun, Pablo U. Suárez

Publication date: 5 June 2013

Published in: Inverse Problems and Imaging (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/622bb31f585d41eaf89830c024b5df4eb9dd4622

zbMATH Keywords

decomposition methodinterior inverse scattering

Mathematics Subject Classification ID

Integral representations, integral operators, integral equations methods in two dimensions (31A10) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Inverse problems for integral equations (45Q05) Research exposition (monographs, survey articles) pertaining to optics and electromagnetic theory (78-02)

Related Items (26)

Reconstruction for shape and impedance in an inverse scattering problem ⋮ ODE-RU: a dynamical system view on recurrent neural networks ⋮ Reconstruction of a penetrable cavity and the external obstacle ⋮ The reciprocity gap method for a cavity in an inhomogeneous medium ⋮ The interior inverse scattering problem for a two-layered cavity using the Bayesian method ⋮ Bayesian approach for inverse interior scattering problems with limited aperture ⋮ The MFS for the identification of a sound-soft interior acoustic scatterer ⋮ The method of fundamental solutions for the identification of a scatterer with impedance boundary condition in interior inverse acoustic scattering ⋮ Bayesian method for shape reconstruction in the inverse interior scattering problem ⋮ A direct imaging method for the exterior and interior inverse scattering problems ⋮ Co-inversion of a scattering cavity and its internal sources: uniqueness, decoupling and imaging ⋮ Identification of the interface between acoustic and elastic waves from internal measurements ⋮ Extended sampling method for interior inverse scattering problems ⋮ The Fourier–Bessel method for the inverse scattering problem of cavities ⋮ The linear sampling method for reconstructing a penetrable cavity with unknown external obstacles ⋮ The inverse scattering problem for an inhomogeneous two-layered cavity ⋮ A hybrid method for the interior inverse scattering problem ⋮ Detecting and approximating decision boundaries in low-dimensional spaces ⋮ The interior inverse scattering problem for cavities with an artificial obstacle ⋮ Reciprocity gap method for an interior inverse scattering problem ⋮ Reconstruction of a crack with the incident waves and measurements inside a penetrable cavity ⋮ The reciprocity gap functional method for the inverse scattering problem for cavities ⋮ Uniqueness in inverse cavity scattering problems with phaseless near-field data ⋮ An interior inverse scattering problem in elasticity ⋮ A neural network method for the inverse scattering problem of impenetrable cavities ⋮ The factorization method for a partially coated cavity in inverse scattering

This page was built for publication: A decomposition method for an interior inverse scattering problem