Reconstruction and uniqueness of an inverse scattering problem with impedance boundary

DOI10.1007/BF02880035zbMath1103.35368OpenAlexW2051398822MaRDI QIDQ2503851

Jin Cheng, Jijun Liu, Nakamura Gen

Publication date: 22 September 2006

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02880035

zbMATH Keywords

uniquenessHelmholtz equationDirichlet-to-Neumann mapinverse scattering problemnear-fieldfar-fieldprobe method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Related Items (9)

On the reconstruction of surface impedance from the far-field data in inverse scattering problems ⋮ On the reconstruction of Dirichlet-to-Neumann map in inverse scattering problems with stability estimates ⋮ Recovering the Dirichlet-to-Neumann map in inverse scattering problems using integral equation methods ⋮ On stability for a translated obstacle with impedance boundary condition ⋮ Determination of Dirichlet-to-Neumann map for a mixed boundary problem ⋮ Optimal elliptic regularity at the crossing of a material interface and a Neumann boundary edge ⋮ A level set method to reconstruct the discontinuity of the conductivity in EIT ⋮ Optimal Sobolev Regularity for Linear Second-Order Divergence Elliptic Operators Occurring in Real-World Problems ⋮ On the reconstruction of obstacle using MFS from the far field data

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