An inverse fast multipole method for geometry reconstruction using scattered field information

IEEE Transactions on Antennas and Propagation

Volumn 60, Issue 7, 2012, Pages 3351-3360

  Alvarez, Yuri ^a   Martinez Lorenzo, José Ángel ^b   Las Heras, Fernando ^a   Rappaport, Carey M ^b  

^a UNIVERSITY OF OVIEDO   (Spain)

^b NORTHEASTERN UNIVERSITY   (United States)

Author keywords

fast multipole method (FMM); Imaging; inverse methods; near field characterization; sources reconstruction method (SRM)

Indexed keywords

3D APPLICATION; CALCULATION TIME; DOMAIN DISCRETIZATION; EQUIVALENT CURRENTS; FAST MULTIPOLE METHOD; GEOMETRY RECONSTRUCTION; INVERSE METHODS; INVERSE PROBLEM SOLUTION; INVERSE SCATTERING METHODS; MATRIX INVERSIONS; MULTIPOLE EXPANSIONS; NEAR-FIELD; RECONSTRUCTION METHOD; SCATTERED FIELD;

GEOMETRY; IMAGING TECHNIQUES;

INVERSE PROBLEMS;

EID: 84863703893     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAP.2012.2196950     Document Type: Article

References (27)

1. G. C. Giakos, M. Pastorino, F. Russo, S. Chowdhury, N. Shah, and W. Davros, "Noninvasive imaging for the new century," IEEE Instrum. Meas. Mag., vol. 2, pp. 32-35, Jun. 1999.
2. E. J. Bond, X. Li, S. C. Hagness, and B. D. Van Veeen, "Microwave imaging via space-time beamforming for early detection of breast cancer," IEEE Trans. Antennas Propag., vol. 51, no. 8, pp. 1690-1705, 2003.
3. E. C. Fear, X. Li, S. C. Hagness, and M. A. Stuchly, "Confocal microwave imaging for breast cancer detection: Localization of tumors in three dimensions," IEEE Trans. Biomed. Eng., vol. 49, no. 8, pp. 812-822, 2009.
4. J. A. Martínez-Lorenzo, C. M. Rappaport, and F. Quivira, "Physical limitations on detecting tunnels using underground-focusing spotlight synthetic aperture radar," IEEE Trans. Geosci. Remote Sens., vol. 49, no. 1, pp. 65-70, Jan. 2011.
5. C. Dourthe,C. Pichot, J. Y. Dauvignac, and J. Cariou, "Inversion algorithm and measurement system for microwave tomography of buried obj (Pubitemid 32027557)
6. X. Xu, E. L. Miller, and C. M. Rappaport, "Minimum entropy regularization in frequency-wavenumber migration to localize subsurface objects," IEEE Trans. Geosci. Remote Sens., vol. 41, no. 8, pp. 1804-1812, Aug. 2003.
7. Q. Dong and C. M. Rappaport, "Microwave subsurface imaging using direct finite-difference frequency-domain-based inversion," IEEE Trans. Geosci. Remote Sens., vol. 47, no. 11, pp. 3664-3670, Nov. 2009.
8. D. M. Sheen, D. L. McMakin, and T. E.Hall, "Three-dimensional millimeter- wave imaging for concealed weapon detection," IEEE Trans. Microw. Theory Tech., vol. 49, no. 9, pp. 1581-1592, 2001. (Pubitemid 32933108) (Pubitemid 32933108)
9. J. Fernandes, C. M. Rappaport, J. A. Martínez-Lorenzo, and M. Hagelen, "Experimental results for standoff detection of concealed body-worn explosives using millimeter-wave radar and limited view ISAR processing," in Proc. IEEE Conf. Technol. Homeland Security (HST), Waltham, MA, May 11-12, 2009, pp. 456-460.
10. M. Farmahini et al., "Fast and accurate cascaded particle swarm optimization method for solving 2-D inverse scattering problems," Appl. Comput. Electromagn. Soc. (ACES), vol. 24, no. 5, 2009.
11. M. Çayören, I. Akduman, A. Yapar, and L. Crocco, "A new algorithm for the shape reconstruction of perfectly conducting objects," Inverse Prob., vol. 23, no. 3, pp. 2087-1100, Apr. 2007.
12. J. A. Martinez, B. Gonzalez, C. Rappaport, J. G.Meana, andA.G. Pino, "Reconstructing distortions on reflector antennas with the iterativefield- matrix method using near-field observation data," IEEE Trans. Antennas Propag., vol. 59, no. 6, pp. 2434-2437, Jun. 2011.
13. C. Y. Lin and Y. W. Kiang, "Inverse scattering for conductors by the equivalent source method," IEEE Trans. Antennas Propag., vol. 44, no. 3, pp. 310-316, Mar. 1996.
14. D. Colton and A. Kirsch, "A simple method for solving inverse scattering problems in the resonance region," Inverse Prob., vol. 12, pp. 383-393, 1996. (Pubitemid 126655727) (Pubitemid 126655727)
15. D. Colton, H. Haddar, and M. Piana, "The linear sampling method in inverse electromagnetic scattering theory," Inverse Prob., vol. 19, pp. S105-S137, 2003.
16. S. Caorsi, G. L. Gragnani, and M. Pastorino, "Two-dimensional microwave imaging by a numerical inverse scattering solution," IEEE Trans. Microw. Theory Tech., vol. 38, no. 8, pp. 981-989, Aug. 1990.
17. M. Pastorino,A. Massa, and S. Caorsi, "Amicrowave inverse scattering technique for image reconstruction based on a genetic algorithm," IEEE Trans. Instrum. Meas., vol. 49, no. 3, pp. 573-578, Jun. 2000.
18. C. Estatico, G. Bozza, M. Pastorino, and A. Randazzo, "An inexact- Newton method for microwave reconstruction of strong scatterers," IEEE Antennas Wireless Propag. Lett., vol. 5, no. 1, pp. 61-64, 2006.
19. Y.Álvarez López, B. A. Domínguez-Casas, C. García-Gonzälez, and F. Las-Heras, "Geometry reconstruction of metallic bodies using the sources reconstruction method," IEEE Antennas Wireless Propag. Lett., vol. 9, pp. 1197-1200, 2009.
20. R. Coifman, V. Rokhlin, and S. Wandzuraz, "The fast multipole method for the wave equation: A pedestrian prescription," IEEE Antennas Propag. Mag., vol. 35, no. 3, pp. 7-11, Jun. 1993.
21. E. Darve, "The fast multipole method: Numerical implementation, " J. Comput. Phys., vol. 160, pp. 195-240, 2000.
22. J.A. López-Ferńndez, M. L. Portugués, J.M.Taboada, H. J. Rice, and F. Obelleiro, "HP-FASS:Ahybrid parallel fast acoustic scattering solver," Int. J. Comput.Math., vol. 88, no. 9, pp. 1960-1968, Mar. 2011.
23. W. C. Chew, T. J. Cui, and J. M. Song, "A FAFFA-MLFMA algorithm for electromagnetic scattering," IEEE Trans. Antennas Propag., vol. 50, no. 11, pp. 1640-1649, Nov. 2002.
24. T. F. Eibert and C. H. Schmidt, "Multilevel fast multipole accelerated inverse equivalent current method employing Rao-Wilton-Glisson discretization of electric and magnetic surface currents," IEEE Trans. Antennas Propag., vol. 57, no. 4, pp. 1178-1185, Apr. 2009.
25. Y. Alvarez, F. Las-Heras, M. R. Pino, and J. A. López, "Acceleration of the sources reconstruction method via the fast multipole method," presented at the IEEE Int. Symp. Antennas Propag. (APS), San Diego, CA, Jul. 5-12, 2008.
26. M. El-Shenawee and E. L. Miller, "Multiple-incidence and multifrequency for profile reconstruction of random rough surfaces using the 3-D electromagnetic fast multipole model," IEEE Trans. Geosci. Remote Sens., vol. 42, no. 11, pp. 2499-2510, Nov. 2004.
27. A. J. Hesford and W. C. Chew, "Fast inverse scattering solutions using the distorted Born iterative method and the multilevel fast multipole algorithm," The J. Acoust. Soc. Amer., pp. 679-690, Aug. 2010.