The Determination of the Surface Impedance of an Obstacle from Measurements of the Far Field Pattern

DOI10.1137/0141002zbMath0464.35077OpenAlexW2001596710MaRDI QIDQ3915374

David Colton, Andreas Kirsch

Publication date: 1981

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0141002

zbMATH Keywords

obstaclea priori boundsurface impedanceimproperly posed moment problemsscattered time harmonic acoustic wave

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Ill-posed problems for PDEs (35R25) Diffraction, scattering (78A45) Partial differential equations of mathematical physics and other areas of application (35Q99)

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The determination of the surface impedance of an obstacle ⋮ Far field patterns and inverse scattering problems for imperfectly conducting obstacles ⋮ The robin problem for the helmholtz equation as a singular perturbation problem ⋮ Solving a nonlinear inverse Robin problem through a linear Cauchy problem ⋮ Reconstruction and uniqueness of an inverse scattering problem with impedance boundary ⋮ Uniqueness results for inverse Robin problems with bounded coefficient ⋮ Recovery of multiple obstacles by probe method ⋮ A weak bang-bang principle for the control of an exterior robin problem ⋮ The impedance boundary value problem for the time harmonic Maxwell equations ⋮ An inverse acoustic scattering problem for an obstacle with an impedance boundary condition ⋮ Stable methods for determining the surface impedance of an obstacle from low frequency far field data