Effects of background removal in linear inverse scattering

IEEE Transactions on Geoscience and Remote Sensing

Volumn 46, Issue 4, 2008, Pages 1104-1114

  Persico, Raffaele ^a,b   Soldovieri, Francesco ^c  

^a IEEE

^b CNR Consiglio Nazionale delle Ricerche   (Italy)

^c INSTITUTE FOR ELECTROMAGNETIC SENSING OF THE ENVIRONMENT   (Italy)

Author keywords

Background removal; Born approximation (BA); Diffraction tomography (DT); Inverse scattering

Indexed keywords

ELECTROMAGNETIC WAVE SCATTERING; GEOMETRY; MATHEMATICAL OPERATORS; NUMERICAL METHODS; SINGULAR VALUE DECOMPOSITION; TOMOGRAPHY;

BACKGROUND REMOVAL; BORN APPROXIMATION (BA); DIFFRACTION TOMOGRAPHY (DT); LINEAR INVERSE SCATTERING;

GROUND PENETRATING RADAR SYSTEMS;

EID: 41549141467     PISSN: 01962892     EISSN: None     Source Type: Journal    
DOI: 10.1109/TGRS.2007.910223     Document Type: Article

References (33)

1. D. J. Daniels, Ground Penetrating Radar, 2nd ed. London, U.K.: Inst. Elect. Eng., 2004.
2. H. Brunzell, "Detection of shallowly buried objects using impulse radar," IEEE Trans. Geosci. Remote Sens., vol. 37, no. 2, pp. 875-886, Mar. 1999.
3. R. Persico, G. Leucci, and F. Soldovieri, "Exploitation of a linear inverse scattering algorithm for the reconstruction of cracks in a layered medium," in Proc. 25th Convegno Nazionale GNGTS, Roma, Italy, Nov. 2006.
4. W. C. Chew, Waves and Fields in Inhomogeneous Media. Piscataway, NJ: IEEE, 1995.
5. R. Persico, F. Soldovieri, and G. Leone, "A microwave tomographic imaging approach for multibistatic configuration: The choice of the frequency step," IEEE Trans. lustrum. Meas., vol. 55, no. 6, pp. 1926-1934, Dec. 2006.
6. G. Leone and F. Soldovieri, "Analysis of the distorted Born approximation for subsurface reconstruction: Truncation and uncertainties effects," IEEE Trans. Geosci. Remote Sens., vol. 41, no. 1, pp. 66-74, Jan. 2003.
7. R. Persico, R. Bernini, and F. Soldovieri, "The role of the measurement configuration in inverse scattering from buried objects under the Born approximation," IEEE Trans. Antennas Propag., vol. 53, no. 6, pp. 1875-1887, Jun. 2005.
8. P. Meincke, "Linear GPR inversion for lossy soil and a planar air-soil interface," IEEE Trans. Geosci. Remote Sens., vol. 39, no. 12, pp. 2713-2721, Dec. 2001.
9. A. J. Devaney, "Geophysical diffraction tomography," IEEE Trans. Geosci. Remote Sens., vol. GRS-22, no. 1, pp. 3-13, Jan. 1984.
10. T. B. Hansen and P. M. Johansen, "Inversion scheme for ground penetrating radar that takes into account the planar air-soil interface," IEEE Trans. Geosci. Remote Sens., vol. 38. no. 1, pp. 496-506, Jan. 2000.
11. T. J. Cui and W. C. Chew, "Novel diffraction tomographic algorithm for imaging two-dimensional targets buried under a lossy Earth," IEEE Trans. Geosci. Remote Sens., vol. 38, no. 4, pp. 2033-2041, Jul. 2000.
12. T. J. Cui and W C. Chew, "Diffraction tomographic algorithm for the detection of three-dimensional objects buried in a lossy half-space," IEEE Trans. Antennas Propag., vol. 50, no. 1, pp. 42-49, Jan. 2002.
13. D. Colton and R. Kress, Inverse Acoustic and Electromagnetic Scattering Theory. Berlin, Germany: Springer-Verlag, 1992.
14. L. P. Song, C. Yu, and Q. H. Liu, "Through-wall imaging (TWI) by radar: 2-D tomographic results and analyses," IEEE Trans. Geosci. Remote Sens., vol. 43, no. 12, pp. 2793-2798, Dec. 2005.
15. R. Firoozabaldi, E. L. Miller, C. M. Rappaport, and A. W. Morghenthaler, "Subsurface sensing of buried objects under a randomly rough surface using scattered electromagnetic field data," IEEE Trans. Geosci. Remote Sens., vol. 45, no. 1, pp. 104-117, Jan. 2007.
16. Y Yu and L. Carin, "Three-dimensional Bayesian inversion with application to subsurface sensing," IEEE Trans. Geosci. Remote Sens., vol. 45, no. 5, pp. 1258-1270, May 2007.
17. D. Lesselier and B. Duchene, "Wavefield inversion of objects in stratified environments: From backpropagation schemes to full solutions," in Review of Radio Science 1993-1996, W. R. Stone, Ed. Oxford, U.K.: Oxford Univ. Press, 1996.
18. F. Soldovieri, J. Hugenschmidt, R. Persico, and G. Leone, "A linear inverse scattering algorithm for realistic GPR applications," Near Surf. Geophys., vol. 5, no. 1, pp. 29-41, 2007.
19. M. Slaney, A. C. Kak, and L. E. Larsen, "Limitations of imaging with first-order diffraction tomography," IEEE Trans. Microw. Theory Tech., vol. MTT-32, no. 8, pp. 860-874, Aug. 1984.
20. R. Persico and F. Soldovieri, "Reconsttuction of a slab embedded in a three layered medium from multifrequency data under Born approximation," J. Opt. Soc. Amer. A, Opt. Image Sci., vol. 21, no. 1, pp. 35-45, Jan. 2004.
21. M. Idemen and I. Akduman, "Two-dimensional inverse scattering problems connected with bodies buried in a slab," Inv. Probl., vol. 6, no. 5, pp. 749-766, Oct. 1990.
22. C. Gilmore, I. Jeffrey, and J. LoVetri, "Derivation and comparison of SAR and frequency-wavenumber migration within a common inverse scalar wave problem formulation," IEEE Trans. Geosci. Remote Sens., vol. 44, no. 6, pp. 1454-1461, Jun. 2006.
23. J. Song, Q. H. Liu, P. Torrione, and L. Collins, "Two-dimensional and three-dimensional NUFFT migration method for landmine detection using ground-penetrating radar," IEEE Trans. Geosci. Remote Sens., vol. 44, no. 6, pp. 1462-1469, Jun. 2006.
24. S. A. Greenhalgh and L. Marescot, "Modeling and migration of 2-D georadar data: A stationary phase approach," IEEE Trans. Geosci. Remote Sens., vol. 44, no. 9, pp. 2421-2429, Sep. 2006.
25. R. Streich and J. van der Kruk. "Accurate imaging of multicomponent GPR data based on exact radiation patterns," IEEE Trans. Geosci. Remote Sens., vol. 45, no. 1, pp. 93-103, Jan. 2007.
26. C. P. Oden, M. H. Powers, D. L. Wright, and G. R. Olhoeft, "Improving GPR image resolution in lossy ground using dispersive migration," IEEE Trans. Geosci. Remote Sens., vol. 45, no. 8, pp. 2492-2500, Aug. 2007.
27. M. Bertero and P. Boccacci, Introduction to Inverse Problems in Imaging. Bristol, U.K.: Inst. Phys. Publ., 1998.
28. P. C. Hansen, Rank-Deficient and Discrete Ill-Posed Problems. Philadelphia, PA: SIAM, 1997.
29. R. Persico and F. Soldovieri, "A microwave tomography approach for a differential configuration in GPR prospecting," IEEE Trans. Antennas Propag., vol. 54, no. 11, pp. 3541-3548, Nov. 2006.
30. A. Yapar, O. Ozdemir, H. Sahinturk, and I. Akduman, "A Newton method for the reconstruction of perfectly conducting slightly rough surface profiles," IEEE Trans. Antennas Propag., vol. 54, no. 1, pp. 275-279, Jan. 2006.
31. R. E. Collin, Antennas and Radiowave Propagation. New York: McGraw-Hill, 1985.
32. A. Giannopoulos, GprMax2D V 1.5 (Electromagnetic Simulator for Ground Probing Radar), 2003. [Online]. Available: www.gprmax.org
33. V. Lapenna and E. Rizzo, "HYDROGEOSITE: A new large lab-scale facility for engineering and environmental geophysics," in Geophysical Research Abstracts, vol. 7. Eur. Geosci. Union, 2005.