A finite-difference contrast source inversion method

Inverse Problems

Volumn 24, Issue 6, 2008, Pages

  Abubakar, A ^a   Hu, W ^a   Van Den Berg, P M ^b   Habashy, T M ^a  

^a SCHLUMBERGER DOLL RESEARCH   (United States)

^b DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CHANNEL STATE INFORMATION; FINITE DIFFERENCE METHOD; INFORMATION RETRIEVAL; MATHEMATICAL OPERATORS; NUMERICAL METHODS; STIFFNESS;

ABSORBING BOUNDARY CONDITIONS; BACKGROUND MEDIUMS; CONTRAST FUNCTIONS; CONTRAST SOURCE INVERSIONS; EXCELLENT PERFORMANCE; FINITE DIFFERENCES; FORWARD PROBLEMS; FREQUENCY DOMAINS; FREQUENCY OF OPERATIONS; GAUSS ELIMINATION METHODS; INHOMOGENEOUS MEDIUMS; INHOMOGENEOUS OBJECTS; INVERSION PROCESS; ITERATION STEPS; LU DECOMPOSITIONS; MATERIAL PROPERTIES; MATRIX APPROACHES; MULTIPLE SOURCES; NON-ITERATIVE; NUMERICAL EXPERIMENTS; OPTIMIZATION PROCESS; PERFECTLY MATCHED LAYERS; SPARSE MATRICES; SUCCESSIVE ITERATIONS; THROUGH-WALL IMAGING; TWO-DIMENSIONAL; UNKNOWN OBJECTS;

STIFFNESS MATRIX;

EID: 62649131064     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/24/6/065004     Document Type: Article

References (35)

1. Abubakar A, van den Berg P M and Mallorqui J J 2002 Imaging of biomedical data using a multiplicative regularized contrast source inversion method IEEE Trans. Microwave Theory Tech. 50 1761-71
2. Abubakar A, van den Berg P M and Fokkema J T 2003 Towards non-linear inversion for characterization of time-lapse phenomena through numerical modelling Geophys. Prospect. 51 285-93
3. Abubakar A, van den Berg P M and Fokkema J T 2003 Time-lapse electromagnetic imaging Int. J. Subsurface Sens. Technol. Appl. 4 117-35
4. Abubakar A, van den Berg P M and Habashy T M 2005 Application of the multiplicative regularized contrast source inversion method on TM- and TE-polarized experimental Fresnel data Inverse Problems 21 S5-13
5. Abubakar A, Habashy T M, Druskin V, Knizhnerman L and Alumbaugh D L 2008 Two-and-half dimensional forward and inverse modelling for the interpretation of low-frequency electromagnetic measurements Geophysics 73 (4) F165-77
6. Bao G and Li P 2004 Inverse medium scattering for three-dimensional time harmonic Maxwell equations Inverse Problems 20 L1-7
7. Belkebir K and Saillard M 2001 Sepecial section: testing inversion algorithms against experimental data Inverse Problems 17 1565-71
8. Belkebir K and Saillard M 2005 Testing inversion algorithms against experimental data: inhomogeneous targets Inverse Problems 21 S1-3
9. Bulyshev A E, Souvorov A E, Semenov S Y, Posukh V G and Sizov Y E 2004 Three-dimensional vector microwave tomography: theory and computational experiments Inverse Problems 20 1239-59
10. Charbonnier P, Blanc-Féraud L, Aubert G and Barlaud M 1996 Deterministic edge-preserving regularization in computed imaging IEEE Trans. Image Process. 6 298-311
11. Chew W C and Wang Y M 1990 Reconstruction of two-dimensional permittivity distribution using the distorted Born iterative method IEEE Trans. Med. Imaging 9 218-25
12. Chew W C and Weedon W H 1994 A 3D perfectly matched medium from modified Maxwell's equations with stretched coordinates IEEE Trans. Antennas Propag. 43 599-604
13. Colton D, Coyle J and Monk P 2000 Recent developments in inverse acoustic scattering theory SIAM Rev. 42 369-414
14. Davis T A and Duff I S 1997 An unsymmetric pattern multifrontal method for sparse LU factorization SIAM J. Matrix Anal. Appl. 18 140-58
15. Dobson D C and Santosa F 1996 An image-enhancement technique for electrical impedance tomography Inverse Problems 10 317-34
16. Gilmore C and LoVetri J 2008 Enhancement of microwave tomography through the use of electrically conducting enclosures Inverse Problems 24 1-21
17. Habashy T M and Mittra R 1987 On some inverse problems in electromagnetics J. Electromagn. Waves Appl. 1 25-58
18. Habashy T M, Oristaglio M L and de Hoop A T 1994 Simultaneous nonlinear reconstruction of two-dimensional permittivity and conductivity Radio Sci. 29 1101-18
19. Hu W, Abubakar A and Habashy T M 2008 Simultaneous frequency domain inversion method for full waveform seismic data Geophysics at press
20. Kantorovich L V and Akilov G P 1982 Functional Analysis (Oxford: Pergamon) p 498
21. Lesselier D and Duchene B 1996 Wavefield inversion of objects in stratified environments. From backpropagation schemes to full solution Review of Radio Science (Oxford: Oxford University Press) pp 235-68
22. Marklein R, Balasubramanian K, Qing A and Langenberg K J 2001 Linear and nonlinear iterative scalar inversion of multi-frequency multi-bistatic experimental electromagnetic scattering data Inverse Problems 17 1597-610
23. Rekanos I T, Yioultsis T V and Hilas C S 2004 An inverse scattering approach based on the differential E-formulation IEEE Trans. Geosci. Remote Sens. 42 1456-61
24. Rudin L, Osher S and Fatemi C 1992 Nonlinear total variation based on noise removal algorithm Physica 30 D 259-68
25. Sabatier P C 2000 Past and future of inverse problems J. Math. Phys. 41 4082-124
26. Semenov S Y, Bulyshev A E, Abubakar A, Posukh V G, Sizov Y E, Souvorov A E, van den Berg P M and Williams T C 2005 Microwave-tomographic imaging of the high-dielectric-contrast objects using different image-reconstruction approaches IEEE Trans. Microwave Theory Tech. 53 2284-94
27. Song L P, Liu Q H, Li F and Zhang Z Q 2005 Reconstruction of three-dimensional objects in layered media: numerical experiments IEEE Trans. Antennas Propag. 53 1556-61
28. Song L P, Chun Y and Liu Q H 2005 Through-wall imaging (TWI) by radar: 2-D tomographic results and analyses IEEE Trans. Geoscience Remote Sens. 43 2793-98
29. van den Berg P M and Kleinman R E 1997 A contrast source inversion method Inverse Problems 13 1607-20
30. van den Berg P M, van Broekhoven A L and Abubakar A 1999 Extended contrast source inversion Inverse Problems 15 1325-44
31. van den Berg P M and Abubakar A 2001 Contrast source inversion method: state of art Prog. Electromagn. Res. 34 189-218
32. van den Berg P M, Abubakar A and Fokkema J T 2003 Multiplicative regularization for contrast profile inversion Radio Sci. 38 23.1-23.10
33. van Dongen K W A and Wright W M D 2007 A full vectorial contrast source inversion scheme for 3D acoustic imaging of both compressibility and density profiles J. Acoust. Soc. Am. 121 1538-49
34. Vogel C R 2002 Computational Methods for Inverse Problems (Philadelphia: SIAM) pp 129-50
35. Yu C, Song L P and Liu Q H 2005 Inversion of multi-frequency experimental data for imaging complex objects by a DTA-CSI method Inverse Problems 21 S165-78