On the inverse diffraction problem

DOI10.1016/0022-247X(84)90164-1zbMath0589.35023OpenAlexW2000962700MaRDI QIDQ1074012

Alexander G. Ramm

Publication date: 1984

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(84)90164-1

zbMATH Keywords

inverse problemscattering amplitudereconstruction errora priori assumptionsStability of the solution

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

Scattering amplitude and algorithm for solving the inverse scattering problem for a class of non-convex obstacles ⋮ Stability of the inversion of 3D fixed-frequency scattering data ⋮ SOME RESULTS ON INVERSE SCATTERING ⋮ Analysis of a linear sampling method for identification of obstacles ⋮ On a property of the set of radiation patterns ⋮ Property \(C\) and applications

Cites Work

• Estimates of derivatives of random functions. I
• Justification of geometrical optics for non-convex obstacles
• Stable solutions of some ill‐posed problems
• Inverse scattering problems for transparent obstacles, electromagnetic waves, and hyperbolic systems
• Gelfand Theory of Pseudo Differential Operators and Hypoelliptic Operators
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