Determining radially symmetric potential from near-field scattering data

DOI10.1007/S12190-019-01294-7zbMath1479.35588OpenAlexW2979094896WikidataQ127171498 ScholiaQ127171498MaRDI QIDQ2053296

Yanyan Li

Publication date: 29 November 2021

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-019-01294-7

zbMATH Keywords

radial symmetryBorn approximationinverse medium scatteringfrozen Newton methodnear field data

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for integral equations (65R32)

Related Items (2)

Determining radially symmetric potential from far-field scattering data ⋮ Inverse scattering reconstruction of a three dimensional sound-soft axis-symmetric impenetrable object ^*

Cites Work

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• Inverse scattering via skin effect
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• Fixed Point Theory in Metric Spaces
• Inverse Medium Scattering Problems for Electromagnetic Waves
• Recovering a potential from Cauchy data in the two-dimensional case
• A direct sampling method for inverse electromagnetic medium scattering
• An introduction to the mathematical theory of inverse problems

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