PIER | |
Progress In Electromagnetics Research | ISSN: 1070-4698, E-ISSN: 1559-8985 |
Home > Vol. 118 > pp. 185-203
ON THE FEASIBILITY OF THE LINEAR SAMPLING METHOD FOR 3D GPR SURVEYSBy I. Catapano, F. Soldovieri, and L. CroccoAbstract: We discuss the applicability of the Linear Sampling Method (LSM) to GPR surveys carried out using array-based configurations. Since the images achieved via LSM are known to get worse when using a small number of antennas and a limited aperture, we introduce an analytic tool to foresee the expected LSM performance for a fixed array size and number of antennas. Notably, such a tool allows us to support (and appraise) the adoption of LSM to data collected with short arrays moved above the investigated domain, which is the configuration most viable in applications.
Citation:
References:
2. Feng, X., F.-N. Kong, Z. Zeng, G. Fang, M. Sato, and Y. Hamada, "GPR using an array antenna for landmine detection ," Near Surface Geophysics, Vol. 2, 3-9, 2004.
3. Aubry, P. J., L. P. Ligthart, A. G. Yarovoy, and T. G. Savelyev, "Array-based GPR for shallow subsurface imaging," Proc. 4th Int. Workshop on Advanced GPR, 12-15, 2007.
4. Payne, L. A., N. Linford, and P. Linford, "Stepped frequency ground-penetrating radar survey with a multi-element array antenna: Results from field application on archaeological sites," Archaeol. Prospect., Vol. 17, 87-98, 2010.
5. Soldovieri, F., A. Brancaccio, G. Leone, and R. Pierri, "Shape reconstruction of perfectly conducting objects by multiview experimental data," IEEE Trans. Geosci. Remote Sens., Vol. 43, No. 1, 65-71, 2005. 6. Catapano, I., L. Crocco, M. D'Urso, and T. Isernia, "A novel effective model for solving 3-D nonlinear inverse scattering problems in lossy scenarios," IEEE Geosci. Remote Sens. Lett., Vol. 3, No. 3, 302-306, 2006. 7. Catapano, I., L. Crocco, R. Persico, M. Pieraccini, and F. Soldovieri, "Linear and nonlinear microwave tomography approaches for subsurface prospecting: Validation on real data," IEEE Antennas Wireless Propagat. Lett., Vol. 5, No. 1, 49-53, 2006. 8. Fischer, C., A. Herschlein, M. Younis, and W. Wiesbeck, "Detection of antipersonnel mines by using the factorization method on multistatic ground-penetrating radar measurements," IEEE Trans. Geosci. Remote Sens., Vol. 45, No. 1, 85-92, 2007. 9. Crocco, L., M. D'Urso, and T. Isernia, "The contrast source-extended born model for 2d subsurface scattering problems," Progress In Electromagnetics Research B, Vol. 17, 343-359, 2009. 10. Crocco, L., F. Soldovieri, T. Millington, and N. J. Cassidy, "Bistatic tomographic GPR imaging for incipient pipeline leakage evaluation," Progress In Electromagnetics Research, Vol. 101, 307-321, 2010. 11. Lo Monte, L., D. Erricolo, F. Soldovieri, and M. C. Wicks, "Radio frequency tomography for tunnel detection," IEEE Trans. Geosci. Remote Sens., Vol. 48, No. 3, 1128-1137, 2010. 12. Huang, Y., Y. Liu, Q. H. Liu, and J. Zhang, "Improved 3-D GPR detection by NUFFT combined with MPD method," Progress In Electromagnetics Research, Vol. 103, 185-199, 2010. 13. Soldovieri, F., O. Lopera, and S. Lambot, "Combination of advanced inversion techniques for an accurate target localization via GPR for demining applications ," IEEE Trans. Geosci. Remote Sens., Vol. 49, No. 1, 451-461, 2011. 14. Bermani, E., A. Boni, S. Caorsi, M. Donelli, and A. Massa, "A multi-source strategy based on a learning-by-examples technique for buried object detection," Progress In Electromagnetics Research, Vol. 48, 185-200, 2004. 15. Monk, P., D. Colton, and K. Giebermann, "A regularized sampling method for solving three dimensional inverse scattering problems," SIAM J. Sci. Comput., Vol. 21, 2316-2330, 2000.
16. Cakoni, F. and D. Colton, Qualitative Methods in Inverse Scattering Theory, Springer-Verlag, Berlin, Germany, 2006.
17. Catapano, I., L. Crocco, and T. Isernia, "On simple methods for shape reconstruction of unknown scatterers," IEEE Trans. Antennas Propagat., Vol. 55, 1431-1436, 2007. 18. Bertero, M. and P. Boccacci, Introduction to Inverse Problems in Imaging, Institute of Physics, Bristol, UK, 1998.
19. D'Urso, M., T. Isernia, I. Catapano, and L. Crocco, "3D microwave imaging via preliminary support reconstruction: Testing on the fresnel 2008 database," Inverse Probl., Vol. 25, 024002, 2009.
20. Catapano, I., L. Crocco, and T. Isernia, "Improved sampling methods for shape reconstruction of 3-D buried targets," IEEE Trans. Geosci. Remote Sens., Vol. 46, No. 10, 3265-3273, 2008. 21. Chew, W. C., Waves Anf Fields in Inhomogeneous Media, The Institute of Electrical and Electronics Engineers, Inc., Piscataway, NJ, 1995.
22. Catapano, I. and L. Crocco, "An imaging method for concealed targets," IEEE Trans. Geosci. Remote Sens., Vol. 47, No. 5, 1301-1309, 2009. 23. Leone, G. 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, 66-74, 2003. |