Stability of recovering the near-field wave from the scattering amplitude
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Publication:5688041
DOI10.1088/0266-5611/12/6/004zbMath0861.35134OpenAlexW2001471549MaRDI QIDQ5688041
Publication date: 23 January 1997
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0266-5611/12/6/004
scattering amplitudeinverse scatteringspherical Hankel functionsHölder-type stability estimatescattering of time-harmonic acoustic waves by bounded obstacles
Inverse problems for PDEs (35R30) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
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On the reconstruction of Dirichlet-to-Neumann map in inverse scattering problems with stability estimates ⋮ A model function method for determining the regularizing parameter in potential approach for the recovery of scattered wave ⋮ Stable determination of a scattered wave from its far-field pattern: the high frequency asymptotics ⋮ Stable Determination of a Rigid Scatterer in Elastodynamics ⋮ Stability of the recovery of surface impedances in inverse scattering ⋮ Uniqueness and stability of the recovery of a sound soft obstacle from a knowledge of its scattering resonances ⋮ Stability of the determination of the surface impedance of an obstacle from the scattering amplitude ⋮ Increasing stability for determining the potential in the Schrödinger equation with attenuation from the Dirichlet-to-Neumann map
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