eprintid: 583 rev_number: 5 eprint_status: archive userid: 5 dir: disk0/00/00/05/83 datestamp: 2011-04-14 lastmod: 2013-06-28 07:29:31 status_changed: 2013-06-28 07:29:31 type: techreport metadata_visibility: show item_issues_count: 0 creators_name: Rocca, Paolo title: Multi-resolution retrieval of non-measurable equivalent currents in microwave imaging problems – Experimental assessment ispublished: pub subjects: TU full_text_status: public keywords: Microwave imaging, inverse scattering, multi-scaling strategy, non-measurable currents abstract: In this paper, an approach based on a multi-scaling strategy for the reconstruction of the non-measurable components of equivalent current distributions is tested against experimental data. An extensive set of simulations is carried out considering single and multiple scatterers with homogeneous as well as inhomogeneous properties. Selected results are reported and discussed to show potentialities and limitations of the method. (c) The Electromagnetics Academy. The final version of this article is available at the url of the journal “PIER” (Progress In Electromagnetics Research) http://www.jpier.org/PIER/pier.php?paper=09072004 date: 2011-01 date_type: published institution: University of Trento department: informaticat refereed: TRUE referencetext: 1. Soleimani, M., "Simultaneous reconstruction of permeability and conductivity in magnetic induction tomography," Journal of Electromagnetic Waves and Applications, Vol. 23, 785-798, 2009. 2. Goharian, M., M. Soleimani, and G. Moran, "A trust region subproblem for 3D electrical impedance tomography inverse problem using experimental data," Progress In Electromagnetics Research, PIER 94, 19-32, 2009. 3. Soleimani, M., C. N. Mitchell, R. Banasiak, R. Wajman, and A. Adler, "Four-dimensional electrical capacitance tomography imaging using experimental data," Progress In Electromagnetics Research, PIER 90, 171-186, 2009. 4. Habashy, T. M., E. Y. Chow, and D. G. Dudley, "Profile inversion using the renormalized source-type integral equation approach," IEEE Trans. Antennas Propag., Vol. 38, No. 5, 668-681, May 1990. 5. Caorsi, S., G. L. Gragnani, and M. Pastorino, "A multiview objects," IEEE Trans. Microw. Theory Tech., Vol. 39, No. 5, 845-851, May 1991. 6. Habashy, T. M., M. L. Oristaglio, and A. T. De Hoop, "Simultaneous nonlinear reconstruction of two-dimensional permittivity and conductivity," Radio Science, Vol. 29, No. 4, 1101-1118, 1994. 7. Caorsi, S. and G. L. Gragnani, "Inverse-scattering method for dielectric objects based on the reconstruction of the nonmeasurable equivalent current density," Radio Science, Vol. 34, No. 1, 1-8, 1999. 8. Persson, K. and M. Gustafsson, "Reconstruction of equivalent currents using a near-field data transformation with radome applications," Progress In Electromagnetics Research, PIER 54, 179-198, 2005. 9. Khalaj-Amirhosseini, M., "Analysis of lossy inhomogeneous planar layers using equivalent sources method," Progress In Electromagnetics Research, PIER 72, 61-73, 2007. 10. Alaia, R., D. Patella, and P. Mauriello, "Imaging multipole self-potential sources by 3D probability tomography," Progress In Electromagnetics Research B, Vol. 14, 311-339, 2009. 11. Hadamard, J., Lectures on the Cauchy Problem in Linear Partial Differential Equations, Yale Univ. Press, New Haven, CT, 1923. 12. Devaney, A. J. and E. Wolf, "Radiating and nonradiating classical current distributions and the fields they generate," Phys. Rev. D Part. Fields, Vol. 8, No. 4, 1044-1047, Aug. 1973. 13. Bleistein, N. and J. K. Cohen, "Nonuniqueness in the inverse source problem in acoustics and electromagnetics," J. Math. Phys. N. Y., Vol. 18, No. 2, 194-201, Feb. 1977. 14. Chew, W. C., Y. M. Wang, G. Otto, D. Lesselier, and J. C. Bolomey, "On the inverse source method of solving inverse scattering problems," Inverse Problems, Vol. 10, 547-553, 1994. 15. Dudley, D. G., T. M. Habashy, and E. Wolf, "Linear inverse problems in wave motion: Nonsymmetric first-kind integral equations," IEEE Trans. Antennas Propag., Vol. 48, No. 10, 1607-1617, Oct. 2000. 16. Marengo, E. A. and R. W. Ziolkowski, "Nonradiating and minimum energy source and their fields: Generalized source inversion theory and applications," IEEE Trans. Antennas Propag., Vol. 48, No. 10, 1553-1562, Oct. 2000. 17. Ney, M. M., A. M. Smith, and S. S. Stuchly, "A solution of electromagnetic imaging using pseudoinverse transformation," IEEE Trans. Med. Imag., Vol. 3, No. 4, 155-162, 1984. 18. Bucci, O. M. and T. Isernia, "Electromagnetic inverse scattering: Retrievable information and measurements strategies," Radio Science, Vol. 32, No. 6, 2123-2138, 1997. 19. Rocca, P., M. Donelli, G. L. Gragnani, and A. Massa, "Iterative multi-resolution retrieval of non-measurable equivalent currents for the imaging of dielectric objects," Inverse Problems, Vol. 25, 1-15, 2009. 20. Caorsi, S., M. Donelli, D. Franceschini, and A. Massa, "A new methodology based on an iterative multiscaling for microwave imaging," IEEE Trans. Microw. Theory Tech., Vol. 51, No. 4, 1162-1173, Apr. 2003. 21. Caorsi, S., M. Donelli, and A. Massa, "Detection, location, and imaging of multiple scatterers by means of the iterative multiscaling method," IEEE Trans. Microw. Theory Tech., Vol. 52, No. 4, 1217-1228, Apr. 2004. 22. Colton, D. and R. Krees, Inverse Acoustics and Electromagnetic Scattering Theory, Springer-Verlag, Berlin, Germany, 1992. 23. Kleinmann, R. E. and P. M. Van Den Berg, "A modified gradient method for two-dimensional problems in tomography," J. Comput. Appl. Math., Vol. 42, No. 1, 17-35, 1992. 24. Belkebir, K. and M. Saillard, "Testing inversion algorithms against experimental data," Inverse Problems, Vol. 17, No. 6, 1565-1571, Dec. 2001. 25. Belkebir, K. and M. Saillard, "Testing inversion algorithms against experimental data: Inhomogeneous data," Inverse Problems, Vol. 21, No. 6, 1-3, Dec. 2005. 26. Semnani, A. and M. K. Hesari, "Truncated cosine fourier series expansion method for solving 2-D inverse scattering problems," Progress In Electromagnetics Research, PIER 81, 73-97, 2008. 27. Caorsi, S., A. Massa, and M. Pastorino, "A computational technique based on a real-coded genetic algorithm for microwave imaging purposes," IEEE Trans. Geosci. Remote Sens., Vol. 38, No. 4, 1697-1708, Jul. 2000. 28. Caorsi, S., A. Massa, and M. Pastorino, "Numerical assessment concerning a focused microwave diagnostic method for medical applications," IEEE Trans. Antennas Propag., Vol. 48, No. 11, 1815-1830, Nov. 2000. 29. Pastorino, M., S. Caorsi, and A. Massa, "A global optimization technique for microwave nondestructive evaluation," IEEE Trans. Instrum. Meas., Vol. 51, No. 4, 666-673, Aug. 2002. 30. Caorsi, S., A. Massa, M. Pastorino, and A. Rosani, "Microwave medical imaging: Potentialities and limitations of a stochastic optimization technique," IEEE Trans. Microw. Theory Tech., Vol. 52, No. 8, 1909-1916, Aug. 2004. 31. Benedetti, M., M. Donelli, A. Martini, M. Pastorino, A. Rosani, and A. Massa, "An innovative microwave imaging technique for non-destructive evaluation: Applications to civil structures monitoring and biological bodies inspection," IEEE Trans. Instrum. Meas., Vol. 55, No. 6, 1878-1884, Dec. 2006. 32. Caorsi, S., M. Donelli, and A. Massa, "Analysis of the stability and robustness of the iterative multi-scaling approach for microwave imaging applications," Radio Science, Vol. 39, 1-17, Oct. 2004. 33. Donelli, M., D. Franceschini, G. Franceschini, and A. Massa, "Effective exploitation of multi-view data through the iterative multi-scaling method --- An experimental assessment," Progress In Electromagnetics Research, PIER 54, 137-154, 2005. 34. Franceschini, G., D. Franceschini, and A. Massa, "Full-vectorial three-dimensional microwave imaging through the iterative multi-scaling strategy --- A preliminary assessment," IEEE Geosci. Remote Sens. Lett., Vol. 2, No. 4, 428-432, Oct. 2005. 35. Franceschini, D., M. Donelli, G. Franceschini, and A. Massa, "Iterative image reconstruction of two-dimensional scatterers illuminated by TE waves," IEEE Trans. Microw. Theory Tech., Vol. 54, No. 4, 1484-1494, Apr. 2006. 36. Franceschini, G., M. Donelli, R. Azaro, and A. Massa, "Inversion of phaseless total field data using a two-step strategy based on the iterative multi-scaling approach," IEEE Trans. Geosci. Remote Sens., Vol. 44, No. 12, 3527-3539, Dec. 2006. 37. Franceschini, D., M. Donelli, and A. Massa, "Testing the iterative multiscaling method against experimental data --- On the effects of the electromagnetic source modeling in the reconstruction process," Radio Science, Vol. 42, No. 3, 1-17, Jun. 2007. citation: Rocca, Paolo (2011) Multi-resolution retrieval of non-measurable equivalent currents in microwave imaging problems – Experimental assessment. [Technical Report] document_url: http://www.eledia.org/students-reports/583/1/DISI-11-037-OR06.pdf