Identification of a non-convex obstacle for acoustical scattering

DOI10.1515/jiip.2007.034zbMath1126.35103OpenAlexW2035579502MaRDI QIDQ5432663

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Publication date: 17 December 2007

Published in: jiip (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip.2007.034

zbMATH Keywords

inverse scattering problemcomplex geometric optics solutionsound hard obstacle

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Inverse scattering problems in quantum theory (81U40) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (12)

Complex geometrical optics solutions for anisotropic equations and applications ⋮ Superconductive and insulating inclusions for linear and non-linear conductivity equations ⋮ The Enclosure Method for the Anisotropic Maxwell System ⋮ Reconstructing unknown inclusions for the biharmonic equation ⋮ Monotonicity and Enclosure Methods for the $p$-Laplace Equation ⋮ Reconstruction of penetrable inclusions in elastic waves by boundary measurements ⋮ A direct reconstruction algorithm for the anisotropic inverse conductivity problem based on Calderón’s method in the plane ⋮ Reconstruction of a penetrable obstacle by complex spherical waves ⋮ Complex geometrical optics solutions for anisotropic equations and applications ⋮ Monotonicity-based Inversion of the Fractional Schrödinger Equation I. Positive Potentials ⋮ The enclosure method for a generalized anisotropic complex conductivity equation ⋮ Reconstructing acoustic obstacles by planar and cylindrical waves

Cites Work

• How to draw a picture of an unknown inclusion from boundary measurements. Two mathematical inversion algorithms
• Enclosing a polygonal cavity in a two-dimensional bounded domain from Cauchy data
• Inverse scattering problems and the enclosure method

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