volume | PIER Journals

Abstract

The authors recently presented a novel microwave tomography method for creating quantitative images of the electromagnetic properties of the interior of unknown objects [1]. This method is based on a time-domain inverse solver which uses the multi-illumination technique and includes the dispersive and heterogeneous characteristic of the object. The Frequency Dependent Finite Difference Time Domain ((FD)2TD) and Genetic Algorithm (GA) technique were utilized for determining unknown characteristics of the object. In the present paper, the calibration of measured data are described and image reconstruction results for preliminary experiments performed at the University of Manitoba's Microwave Tomography Laboratory and at the Institut Frsenel are presented.

1. Sabouni, A., S. Noghanian, and S. Pistorius, "A global optimization technique for microwave imaging of the inhomogeneous and dispersive breast," Canadian Journal of Electrical and Computer Engineering, Vol. 35, No. 1, 15-24, 2010.
doi:10.1109/CJECE.2010.5783380 Google Scholar

2. Pastorino, M., S. Caorsi, and A. Massa, "A global optimization technique for microwave nondestructive evaluation," IEEE Transactions on Instrumentation and Measurement, Vol. 51, No. 4, 666-673, 2002.
doi:10.1109/TIM.2002.803084 Google Scholar

3. Meaney, P. M., M. W. Fanning, T. Raynolds, C. J. Fox, Q. Fang, C. A. Kogel, S. P. Poplack, and K. D. Paulsen, "Initial clinical experience with microwave breast imaging in women with normal mammography," Academic Radiology, Vol. 14, No. 2, 207-218, 2007.
doi:10.1016/j.acra.2006.10.016 Google Scholar

4. Song, L. P., C. Yu, and Q. H. Liu, "Through-wall imaging (TWI) by radar: 2-D tomographic results and analyses," IEEE Transactions on Geoscience and Remote Sensing, Vol. 43, No. 12, 2793-2798, 2005.
doi:10.1109/TGRS.2005.857914 Google Scholar

5. Hansen, P. C., Rank-deficient and Discrete Ill-posed Problems Numerical Aspects of Linear Inversion:, SIAM, Philadelphia, PA, 1998.
doi:10.1137/1.9780898719697

6. Barkeshli, S. and R. G. Lautzenheiser, "An iterative method for inverse scattering problems based on an exact gradient search," Radio Science, Vol. 29, 1119-1130, 1994.
doi:10.1029/94RS00830 Google Scholar

7. Kleinman, R. E. and P. M. van den Berg, "A modified gradient method for two-dimensional problems in tomography," Journal of Computational and Applied Mathematics, Vol. 42, No. 1, 17-35, 1992.
doi:10.1016/0377-0427(92)90160-Y Google Scholar

8. Van den Berg, P. M. and R. E. Kleinman, "A contrast source inversion method," Inverse Problems, Vol. 13, No. 6, 1607-1620, 1997.
doi:10.1088/0266-5611/13/6/013 Google Scholar

9. Chew, W. and Y. Wang, "Reconstruction of two-dimensional permittivity distribution using the distorted born iterative method," IEEE Transactions on Medical Imaging, Vol. 9, No. 2, 218-225, 1990.
doi:10.1109/42.56334 Google Scholar

10. Caorsi, S., M. Donelli, and A. Massa, "Detection, location, and imaging of multiple scatterers by means of the iterative multiscaling method," IEEE Transactions on Microwave Theory and Techniques, Vol. 52, No. 4, 1217-1228, 2004.
doi:10.1109/TMTT.2004.825699 Google Scholar

11. Habashy, T. M. and A. Abubakar, "A general framework for constraint minimization for the inversion of electromagnetic measurements," Progress In Electromagnetics Research, Vol. 46, 265-312, 2004.
doi:10.2528/PIER03100702 Google Scholar

12. Bozza, G., C. Estatico, M. Pastorino, and A. Randazzo, "An inexact newton method for microwave reconstruction of strong scatterers," IEEE Antennas and Wireless Propagation Letters, Vol. 5, No. 1, 61-64, 2006.
doi:10.1109/LAWP.2006.870360 Google Scholar

13. Franchois, A. and A. G. Tijhuis, "A quasi-Newton reconstruction algorithm for a complex microwave imaging scanner environment," Radio Science, Vol. 38, No. 2, 1-13, 2003.
doi:10.1029/2001RS002590 Google Scholar

14. Joachimowicz, N., J. Mallorqui, J. C. Bolomey, and A. Broquets, "Convergence and stability assessment of Newton-Kantorovich reconstruction algorithms for microwave tomography," IEEE Transactions on Medical Imaging, Vol. 17, No. 4, 562-570, 1998.
doi:10.1109/42.730401 Google Scholar

14. Franchois, A. and C. Pichot, "Microwave imaging-complex permittivity reconstruction with a Levenberg-Marquardt method," IEEE Transactions on Antennas and Propagation, Vol. 45, No. 2, 203-215, 1997.
doi:10.1109/8.560338 Google Scholar

16. Pastorino, M., "Stochastic optimization methods applied to microwave imaging: A review," IEEE Transactions on Antennas and Propagation, Vol. 55, No. 3, 538-548, 2007.
doi:10.1109/TAP.2007.891568 Google Scholar

17. Caorsi, S., A. Massa, M. Pastorino, and M. Donelli, "Improved microwave imaging procedure for nondestructive evaluations of two-dimensional structures," IEEE Transactions on Antennas and Propagation, Vol. 52, No. 6, 1386-1397, 2004.
doi:10.1109/TAP.2004.830254 Google Scholar

18. Donelli, M. and A. Massa, "Computational approach based on a particle swarm optimizer for microwave imaging of two-dimensional dielectric scatterers," IEEE Transactions on Microwave Theory and Techniques, Vol. 53, No. 5, 1761-1776, 2005.
doi:10.1109/TMTT.2005.847068 Google Scholar

19. Donelli, M., G. Franceschini, A. Martini, and A. Massa, "An integrated multiscaling strategy based on a particle swarm algorithm for inverse scattering problems," IEEE Transactions on Geoscience and Remote Sensing, Vol. 44, 298-312, 2006.
doi:10.1109/TGRS.2005.861412 Google Scholar

20. Gilmore, C., P. Mojabi, A. Zakaria, M. Ostadrahimi, C. Kaye, S. Noghanian, L. Shafai, S. Pistorius, and J. LoVetri, "A wideband microwave tomography system with a novel frequency selection procedure," IEEE Transactions on Biomedical Engineering, Vol. 57, No. 4, 894-904, 2010.
doi:10.1109/TBME.2009.2036372 Google Scholar

21. Meaney, P., K. Paulsen, A. Hartov, and R. Crane, "An active microwave imaging system for reconstruction of 2-D electrical property distributions," IEEE Transactions on Biomedical Engineering, Vol. 42, No. 10, 1017-1026, 1995.
doi:10.1109/10.464376 Google Scholar

22. Eyraud, C., J. M. Geffrin, A. Litman, P. Sabouroux, and H. Giovannini, "Drift correction for scattering measurements," Applied Physics Letters, Vol. 89, 2441041-2441043, 2006. Google Scholar

23. Kolundzija, B., J. Ognjanovic, M. Tasic, D. Olcan, M. Paramentic, D. Sumic, M. Kostic, and M. Paviovic, "WIPL-D pro V7.1: 3D electromagnetic solver," Tech. Rep., WIPL-D Ltd, Europe, 2009. Google Scholar

24. Meaney, P., M. Fanning, D. Li, S. Poplack, and K. Paulsen, "A clinical prototype for active microwave imaging of the breast," IEEE Transactions on Microwave Theory and Techniques, Vol. 48, No. 11, 1841-1853, 2000.
doi:10.1109/22.883861 Google Scholar

25. Geffrin, J. and A. Joisel, "Comparison of measured and simulated incident and scattered ¯elds in a 434MHz scanner," Proceedings of the 22th URSI General Assembly, 2002. Google Scholar

26. Gunnarsson, T., "Quantitative microwave breast phantom imaging using 2.45 GHz system," International Union of Radio Science General Assembly, 2008. Google Scholar

27. Geffrin, J. M., P. Sabouroux, and C. Eyraud, "Free space experimental scattering database continuation: Experimental set-up and measurement precision," Inverse Problems, Vol. 21, S117-S130, 2005.
doi:10.1088/0266-5611/21/6/S09 Google Scholar

28. Franchois, A., A. Joisel, C. Pichot, and J. C. Bolomey, "Quantitative microwave imaging with a 2.45 GHz planar microwave camera," IEEE Transactions on Medical Imaging, Vol. 17, No. 4, 550-561, 1998.
doi:10.1109/42.730400 Google Scholar

29. Belkebir, K. and M. Saillard, "Special section on testing inversion algorithms against experimental data," Inverse Problems, Vol. 17, 1565-1571, 2001.
doi:10.1088/0266-5611/17/6/301 Google Scholar

30. Meaney, P., K. Paulsen, A. Hartov, and R. Crane, "Microwave imaging for tissue assessment: Initial evaluation in multitarget tissue-equivalent phantoms," IEEE Transactions on Biomedical Engineering, Vol. 43, 878-890, 1996.
doi:10.1109/10.532122 Google Scholar

31. Semenov, S., R. Svenson, A. Bulyshev, A. Souvorov, A. Nazarov, Y. Sizov, V. Posukh, A. Pavlovsky, P. Repin, and G. Tatsis, "Spatial resolution of microwave tomography for detection of myocardial ischemia and infarction-experimental study on two-dimensional models," IEEE Transactions on Microwave Theory and Techniques, Vol. 48, No. 4, 538-544, 2000.
doi:10.1109/22.842025 Google Scholar

Dr. Abas Sabouni

Dr. Sima Noghanian