Features of solving the direct and inverse scattering problems for two sets of monopole scatterers

DOI10.1515/jiip-2020-0145zbMath1475.35412OpenAlexW3138385088MaRDI QIDQ2232099

Konstantin V. Dmitriev, Olga D. Rumyantseva

Publication date: 4 October 2021

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip-2020-0145

zbMATH Keywords

multiple scatteringscattering coefficientsbackscattering effectNovikov algorithm reconstructionquasi-point inhomogeneity

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Applications to the sciences (65Z05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Cites Work

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• The inverse scattering problem on a fixed energy level for two- dimensional Schrödinger operator
• Faddeev eigenfunctions for point potentials in two dimensions
• Rapidly converging approximation in inverse quantum scattering in dimension \(2\).
• Matrix theory of elastic wave scattering
• Examples of solution of the inverse scattering problem and the equations of the Novikov–Veselov hierarchy from the scattering data of point potentials

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