A QUASI-NEWTON METHOD IN INVERSE OBSTACLE SCATTERING

Authors
KRESS R RUNDELL W
Citation
R. Kress et W. Rundell, A QUASI-NEWTON METHOD IN INVERSE OBSTACLE SCATTERING, Inverse problems, 10(5), 1994, pp. 1145-1157
Citations number
17
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,"Physycs, Mathematical",Mathematics
Journal title
Inverse problems → ACNP
ISSN journal
02665611
Volume
10
Issue
5
Year of publication
1994
Pages
1145 - 1157
Database
ISI
SICI code
0266-5611(1994)10:5<1145:AQMIIO>2.0.ZU;2-9
Abstract
A quasi-Newton method is presented for the approximate solution of the inverse problem of determining the shape of a sound-soft or perfectly conducting infinitely long cylindrical obstacle from a knowledge of t he far-field pattern for the scattering of time-harmonic plane waves. The numerical implementation of the method is described and it is illu strated by numerical examples that the method yields satisfactory reco nstructions.