Eigenfunction contrast source inversion for circular metallic enclosures

Inverse Problems

Volumn 26, Issue 2, 2010, Pages

  Mojabi, Puyan ^a   Lovetri, Joe ^a  

^a UNIVERSITY OF MANITOBA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

CONTRAST FUNCTIONS; CONTRAST SOURCE INVERSION; DIELECTRIC PROFILES; DIRICHLET BOUNDARY CONDITION; EIGEN FUNCTION; EIGENFUNCTION EXPANSIONS; EXPERIMENTAL DATA; HELMHOLTZ OPERATORS; HOMOGENEOUS MEDIUM; INCIDENT FIELDS; METALLIC ENCLOSURE; MICROWAVE IMAGING; OBJECT OF INTERESTS; ORTHONORMAL; PERMITTIVITY PROFILES; PRIOR INFORMATION; RECONSTRUCTION QUALITY; SYNTHETIC DATASETS; THEORETICAL LIMITS;

ENCLOSURES; MATHEMATICAL OPERATORS;

EIGENVALUES AND EIGENFUNCTIONS;

EID: 76649112445     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/26/2/025010     Document Type: Article

References (37)

1. Rubæk T, Meaney P M, Meincke P and Paulsen K D 2007 Nonlinear microwave imaging for breast-cancer screening using Gauss-Newton's method and the CGLS inversion algorithm IEEE Trans. Antennas Propag. 55 2320-31
2. 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. Microw. Theory Tech. 50 1761-77
3. Bulyshev A E, Souvorov A E, Semenov S Y, Svenson R H, Nazarov A G, Sizov Y E and Tastis G P 2000 Three dimensional microwave tomography: theory and computer experiments in scalar approximation Inverse Probl. 16 863-75
4. Semenov S Y et al 2002 Three-dimensional microwave tomography: initial experimental imaging of animals IEEE Trans. Biomed. Eng. 49 55-63
5. Meaney P M, Fanning M W, Li E, Poplack S P and Paulsen K D 2000 A clinical prototype for active microwave imaging of the breast IEEE Trans. Microw. Theory Tech. 48 1841-53
6. Yu C, Yuan M, Stang J, Bresslour E, George R T, Ybarra G A, Joines W T and Liu Q H 2008 Active microwave imaging II: 3-D system prototype and image reconstruction from experimental data IEEE Trans. Microw. Theory Tech. 56 991-1000
7. Fhager A, Hashemzadeh P and Persson M 2006 Reconstruction quality and spectral content of an electromagnetic time-domain inversion algorithm IEEE Trans. Biomed. Eng. 53 1594-604
8. Rubæk T and Zhurbenko V Prototype of microwave imaging system for breast-cancer screening Proc. 13th Int. Symp. on Antenna Technology and Applied Electromagnetics and the Canadian Radio Science Meeting (ANTEM/URSI) (Banff, Canada, February 2009)
9. Crocco L and Litman A 2009 On embedded microwave imaging systems: retrievable information and design guidelines Inverse Probl. 25 065001 (17pp)
10. Gilmore C and LoVetri J 2008 Enhancement of microwave tomography through the use of electrically conducting enclosures Inverse Probl. 24 035008 (21pp)
11. Mojabi P, Gilmore C, Zakaria A and LoVetri J 2009 Biomedical microwave inversion in conducting cylinders of arbitrary shapes 13th Int. Symp. on Antenna Technology and Applied Electromagnetics and the Canadian Radio Science Meeting (ANTEM/URSI) pp 1-4
12. Semenov S Y, Svenson R H, Bulyshev A E, Souvorov A E, Nazarov A G, Sizov Y E, Posukh V G, Pavlovsky A V, Repin P N and Tatsis G P 2000 Spatial resolution of microwave tomography for detection of myocardial ischemia and infarction-experimental study on two-dimensional models IEEE Trans. Microw. Theory Tech. 48 538-44
13. Meaney P M, Paulsen K D, Hartov A and Crane R K 1996 Microwave imaging for tissue assessment: initial evaluation in multitarget tissue-equivalent phantoms IEEE Trans. Biomed. Eng. 43 878-90 (Pubitemid 126768565)
14. van den Berg P M and Fokkema J T 2003 Removal of undesired wavefields related to the casing of a microwave scanner IEEE Trans. Microw. Theory Tech. 51 187-92
15. Franchois A and Tijhuis A G 2003 A quasi-Newton reconstruction algorithm for a complex microwave imaging scanner environment Radio Sci. 38
16. Lencrerot R, Litman A, Tortel H and Geffrin J-M 2009 Measurement strategies for a confined microwave circular scanner Inverse Probl. Sci. Eng. 1-16
17. Lencrerot R, Litman A, Tortel H and Geffrin J-M 2009 Imposing Zernike representation for imaging two-dimensional targets Inverse Probl. 25 035012 (21pp)
18. van den Berg P M and Kleinman R E 1997 A contrast source inversion method Inverse Probl. 13 1607-20
19. 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 Probl. 21 S5-13
20. Bloemenkamp R F, Abubakar A and van den Berg P M 2001 Inversion of experimental multi-frequency data using the contrast source inversion method Inverse Probl. 17 1611-22
21. Abubakar A, Hu W, van den Berg P M and Habashy T M 2008 A finite-difference contrast source inversion method Inverse Probl. 24 065004 (17pp)
22. Abubakar A and van den Berg P M 2004 Iterative forward and inverse algorithms based on domain integral equations for three-dimensional electric and magnetic objects J. Comput. Phys. 195 236-62
23. Collin R E 1991 Field Theory of Guided Waves (New York: IEEE Press)
24. Mojabi P and LoVetri J 2009 Overview and classification of some regularization techniques for the Gauss-Newton inversion method applied to inverse scattering problems IEEE Trans. Antennas Propag. 57 2658-65
25. Kilmer M E and O'leary D P 2001 Choosing regularization parameters in iterative methods for ill-posed problems SIAM J. Matrix Anal. Appl. 22 1204-21
26. Chung J, Nagy J G and O'leary D P 2008 A weighted-GCV method for Lanczos-hybrid regularization Electron. Trans. Numer. Anal. 28 149-67
27. van den Berg P M 2001 Nonlinear scalar inverse scattering: algorithms and applications Scattering and Inverse Scattering in Pure and Applied Sciences vol 1 ed E R Pike and P C Sabatier(London: Academic) pp 121-41
28. Brandwood D H 1983 A complex gradient operator and its application in adaptive array theory IEE Proc. F and H 130 11-6
29. van den Bos A 1994 Complex gradient and Hessian IEE Proc., Vis. Image Signal Process. 141 380-3
30. Li H and Adaly T 2008 Complex-valued adaptive signal processing using nonlinear functions EURASIP J. Adv. Signal Process.
31. Bjork A 1996 Numerical Methods for Least Squares Problems (Philadelphia: SIAM)
32. Abubakar A, van den Berg P M and Semenov S Y 2004 A robust iterative method for Born inversion IEEE Trans. Geosci. Remote Sens. 42 342-54
33. van den Berg P M, van Broekhoven A L and Abubakar A 1999 Extended contrast source inversion Inverse Probl. 15 1325-44
34. Kooij B J and van den Berg P M 1998 Nonlinear inversion in TE scattering IEEE Trans. Microw. Theory Tech. 46 1704-12
35. Belkebir K and Saillard M 2001 Special section: testing inversion algorithm against experimental data Inverse Probl. 17 1565-71
36. Geffrin J-M, Sabouroux P and Eyraud C 2005 Free space experimental scattering database continuation: experimental set-up and measurement precision Inverse Probl. 21 S117-30
37. Paulsen K D and Meaney P M 1999 Nonactive antenna compensation for fixed-array microwave imaging. I. model development IEEE Trans. Med. Imag. 18 496-507