Three-dimensional inverse scattering: layer-stripping formulas and ill-posedness results
Författare
Summary, in English
The authors consider the three-dimensional direct and inverse scattering problems for the Schrodinger equation and for the reduced wave equation with variable velocity. The scatterer is probed with either point sources or plane waves of fixed frequency. They ask the question, 'How does the wave field change when the scatterer is truncated?' Simple formulae for the derivative of the wave field with respect to the truncation parameter are obtained. Similar formulae are obtained for the scattering amplitudes. These formulae are used to derive ill-posedness results for various inverse scattering problems. The ill-posedness results apply when data are collected over a range of frequencies.
Publiceringsår
1988
Språk
Engelska
Sidor
625-642
Publikation/Tidskrift/Serie
Inverse Problems
Volym
4
Issue
3
Dokumenttyp
Artikel i tidskrift
Förlag
IOP Publishing
Ämne
- Electrical Engineering, Electronic Engineering, Information Engineering
Status
Published
ISBN/ISSN/Övrigt
- ISSN: 0266-5611