Multipoint formulas for scattered far field in multidimensions

DOI10.1088/1361-6420/aba891zbMath1467.35110OpenAlexW3028023327MaRDI QIDQ5123694

Roman G. Novikov

Publication date: 29 September 2020

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6420/aba891

zbMATH Keywords

Schrödinger equationHelmholtz equationVandermonde matrixinverse scattering problemsscattered far fieldscattered near field

Mathematics Subject Classification ID

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

Related Items (3)

Multipoint formulas in inverse problems and their numerical implementation ⋮ Multidimensional inverse scattering for the Schrödinger equation ⋮ Fixed-distance multipoint formulas for the scattering amplitude from phaseless measurements

Cites Work

• Multidimensional inverse spectral problem for the equation \(-\Delta \psi -(v(x)-Eu(x))\psi =0\)
• Inverse problem of quantum scattering theory. II
• Multipoint formulas for phase recovering from phaseless scattering data
• Inverse Acoustic and Electromagnetic Scattering Theory
• The uniqueness theorem in the inverse problem of spectral analysis for the Schrödinger equation
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