New characterizations of solutions in inverse scattering theory

DOI10.1080/00036810008840888zbMath1028.35167OpenAlexW1977239218WikidataQ58267044 ScholiaQ58267044MaRDI QIDQ2729518

Andreas Kirsch

Publication date: 22 July 2001

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810008840888

zbMATH Keywords

numerical experimentsinhomogeneous mediumconstrained optimization problemabsorbing mediaacoustically soft obstaclefarfield datalimited farfield data

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Related Items (11)

The factorization method for obstacles with a-priori separated sound-soft and sound-hard parts ⋮ ODE-RU: a dynamical system view on recurrent neural networks ⋮ Inverse medium scattering for a nonlinear Helmholtz equation ⋮ On the Factorization Method for a Far Field Inverse Scattering Problem in the Time Domain ⋮ On imaging obstacles inside inhomogeneous media ⋮ The direct and inverse scattering problems for penetrable and impenetrable mixed obstacles ⋮ Extracting discontinuity in a heat conductive body. One-space dimensional case ⋮ Sampling Methods ⋮ The factorization method for inhomogeneous medium with an impenetrable obstacle ⋮ An optimization approach for the localization of defects in an inhomogeneous medium from acoustic far-field measurements at a fixed frequency ⋮ A complete factorization method for scattering by periodic surfaces

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