An exact far-field inversion for the Born approximation and plane wave decompositions for Hankel functions

DOI10.1007/BF00942753zbMath0811.35161OpenAlexW2094325916MaRDI QIDQ1338336

Norbert Gorenflo

Publication date: 18 December 1994

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00942753

zbMATH Keywords

Sommerfeld radiation conditionscalar Helmholtz equationexact series- integral representationplane wave decompositions for Hankel functions

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Series solutions to PDEs (35C10)

Cites Work

• Multidimensional structure diffraction tomography for varying object orientation through generalised scattered waves
• Inversion formulae for first-order approximations in fixed-energy scattering by compactly supported potentials
• The Inverse Problem of Acoustic Scattering
• Unnamed Item
• Unnamed Item

This page was built for publication: An exact far-field inversion for the Born approximation and plane wave decompositions for Hankel functions