Locating the support of objects contained in a two-layered background medium in two dimensions

Inverse Problems

Volumn 16, Issue 2, 2000, Pages 275-292

  Coyle, Joe ^a  

^a UNIVERSITY OF DELAWARE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001254839     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/16/2/301     Document Type: Article

References (20)

1. Akduman I and Alkumru A 1995 A generalized ART algorithm for inverse scattering problems related to burried cylindrical bodies Inverse Problems 11 1125-36
2. Angell T, Kleinman R, Lesselier D and Rozier C 1997 Shape retrieval of an obstacle immersed in shallow water from single frequency farfields using a complete family method Inverse Problems 13 487-508
3. Bolomey J Ch and Pichot Ch 1991 Some applications of diffraction tomography to electromagnetics - the particular case of microwaves Inverse Problems in Scattering and Imaging (Bristol: Adam Hilger)
4. Chiu C-C and Kiang Y-W 1991 Inverse scattering of a burried conducting cylinder Inverse Problems 7 187-202
5. Colton D 1988 Partial Differential Equations (Random House)
6. Colton D and Kirsch A 1996 A simple method for solving inverse scattering problems in the resonance region Inverse Problems 12 383-93
7. Colton D and Kress R 1998 Inverse Acoustic and Electromagnetic Scattering Theory (Applied Mathematical Sciences vol 93) edn 2 (New York: Springer)
8. Colton D and Monk P 1998 A linear sampling method for the detection of leukemia using microwaves SIAM J. Appl. Math. 58 926-41
9. Colton D and Piana M 1998 The simple method for the electromagnetic inverse scattering problem: the case of TE polarized waves Inverse Problems 14 597-614
10. Colton D, Piana M and Potthast R 1997 A simple method using Morozov's discrepancy principle for solving inverse scattering problems Inverse Problems 13 1477-93
11. Colton D and Potthast R 1999 An inverse electromagnetic scattering problem for an anisotropic medium Q. J. Mech. Appl. Math. 52 349-72
12. Coyle J 1998 Direct and inverse problems in electromagnetic scattering from anisotropic objects PhD Thesis University of Delaware
13. Cutzach P and Hazard C 1998 Existence, uniqueness and analytical properties for electromagnetic scattering in a two-layered medium Math. Methods Appl. Sci. 21 433-61
14. Duchêne B and Lesselier D 1990 Burried, 2-D penetrable objects illuminated by line sources: FFT-based iterative computations of the anomalous field Inverse Problems 6 749-66
15. Duchêne B and Lesselier D 1996 Review of Radio Science 1993-1996 ch 10, ed R Stone (Oxford: Oxford University Press) pp 235-68
16. Goncharsky A, Stepanov V V, Tikhonov A and Yagola A G 1995 Numerical Methods for the Solution of Ill-Posed Problems (Dordrecht: Kluwer)
17. Gylys-Colwell F 1996 An inverse problem for the Helmholtz equation Inverse Problems 12 139-56
18. Kirsch A 1996 An Introduction to the Mathematical Theory of Inverse Problems (Berlin: Springer) p 120
19. Piana M 1998 On uniqueness for anisotropic inhomogeneous inverse scattering problems Inverse Problems 14 1565-79
20. Potthast R 1999 Electromagnetic scattering from an orthotropic medium J. Int. Eqns 11