A linear sampling method for the detection of leukemia using microwaves II

Authors
Citation
D. Colton et P. Monk, A linear sampling method for the detection of leukemia using microwaves II, SIAM J A MA, 60(1), 1999, pp. 241-255
Citations number
11
Categorie Soggetti
Mathematics
Journal title
SIAM JOURNAL ON APPLIED MATHEMATICS
ISSN journal
00361399 → ACNP
Volume
60
Issue
1
Year of publication
1999
Pages
241 - 255
Database
ISI
SICI code
0036-1399(199912)60:1<241:ALSMFT>2.0.ZU;2-Z
Abstract
This paper continues our study of the use of the linear sampling method for using microwaves to detect leukemia in the lower leg [SIAM J. Appl. Math., 58 (1998), pp. 926-941], [Computational Radiology and Imaging: Therapy and Diagnostics, C. Borgers and F. Natterer, eds., IMA Vol. Math. Appl. 110, S pringer-Verlag, Berlin, 1999, pp. 137-156]. In the present work we no longe r ignore the presence of skin and assume that the sources are placed in a t hin sheath that is wrapped around the leg. This requires us to consider a r esistive boundary value problem and to extend the linear sampling method to treat problems of this type. Numerical examples are given, showing the via bility of this new model.