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**Selection of Interesting Papers in relationship to inverse problems in the framework of the GPR prospecting**

Raffaele Persico

July 10, 2012

**1. D. Slepian and H. O. Pollack**, "Prolate spheroidal wavefunctions, Fourier analysis and uncertainty. I", Bell Syst. Tech. J. 40, 43-64 (1961).

**2. J. H. Richmond**, ‘‘Scattering by a dielectric cylinder of arbitrary cross section shape,’’ IEEE Trans. Antennas Propag. 13,334–341 (1965).

**3. W. A. Schneider**, Integral formulation for migration in two and three dimensions, Geophysics, vol. 43, n. 1, pp. 49-76, 1978

**4. R. H. Stolt**, “Migration by Fourier Transform”, Geophysics, vol. 43, n. 1, pp. 23-48, 1978.

**5. A. J. Devaney**, “A filtered backpropagation algorithm for diffraction tomography,” Ultrasonic Imaging, vol. 4, pp. 336–350, 1982.

**6. M. Slaney, A.C. Kak, L.E. Larsen**, “Limitations of imaging with first order diffraction tomography”, IEEE Trans. Microwave Theory Techn., vol MTT-32, pp 860-874, 1984.

**7. L. Chommeloux, C. Pichot, J. C. Bolomey**, “Electromagnetic modeling for microwave imaging of cylindrical buried inhomogeneities”, IEEE Trans. Microwave Theory and Techniques, vol. MTT-34, n. 10, pp. 1064-1076, Oct. 1986.

**8. W. Tabbra, B. Duchene, Ch. Pichot, D. Lesselier, L. Chommeloux and N. Joachimowicz**, “Diffraction Tomography: Contribution to the analysis of some applications in microwave and ultrasonics, Inverse problems, vol. 4, pp. 305-331, 1988.

**9. M.Idemen and I. Ackduman**, “Two dimensional inverse scattering problerms connected with bodies buried in a slab”, Inverse Problems, vol. 6, pp. 749-766, 1990.

**10. M. Moghaddam and W. C. Chew**, nonlinear two-dimensional Velocity profile Inversion Using time Domain Data, IEEE Trans. on Geos. And remote sensing, vol. 30, n. 1, pp. 147-156, 1992.

**11. J.E. Molyneux, A. Witten**, “Diffraction tomographic imaging in a monostatic measurement configuration”, IEEE Trans. on Geoscience and Remote Sensing, vol. 31, no.2, pp. 507-511, 1993.

**12. A. J. Witten, J. E. Molyneux and J. E. Nyquist**, “Ground Penetrating Radar Tomography: Algorithms and Case Studies, “ IEEE Trans. Geoscience and Remote Sensing, vol. 32, n. 2, pp. 461-467, Mar. 1994.

**13. G. P. Otto and W. C. Chew**, “Microwave inverse scattering-local shape function imaging for improved resolution of strong scatterers”, IEEE Trans. on Microwave theory and techniques, vol. 42, n. 3, January 1994.

**14. D. Lesselier, B. Duchene**, “Wavefield inversion of objects in stratified environments: from back-propagation schemes to full solutions”, in Review of Radio Science 1993-1996, ed. R. Stone, Oxford University press, 1996.

**15. R. Deming, A. J. Devaney**, A Filtered Backpropagation Algorithm for GPR, Journal of Environmental & Engineering Geophysics, vol. 0, n. 2, January 1996.

**16. A. Franchois, C. Pichot**, Microwave imaging-complex permittivity reconstruction with a Levenberg-Marquardt method, IEEE trans. On antennas and propagation, vol. 45, n. 2, pp. 203-215, 1997.

**17. D. Pommet, R. A. Marr, U. H. W. Lammers, R. V. McGahan, J. B. Morris and M. A. Fiddy**, “Imaging using limited-angle backscattered data”, IEEE Trans. On Antennas and Propagation Magazine, vol. 39, n. 2, pp. 19-22, April 1997.

**18. R. W. Deming and A. J. Devaney**, “Diffraction tomography for multi-monostatic ground penetrating radar imaging, Inverse Problems, vol. 13, pp. 29-45, 1997.

**19. B. Chen and J. J Stamnes**, "Validity of diffraction tomography based on the first Born and first Rytov approximations", Appl. Opt. 37, 2996-3006, 1998.

**20. T. B. Hansen and M. Johansen**, “Inversion Scheme for Ground Penetrating Radar That Takes into Account the Planar Air-Soil Interface”, IEEE Trans. on Geos. and Rem. Sens., vol. 38, n. 1, pp. 496-506, January 2000.

**21. C. Dourthe, C. Pichot, J. Y. Dauvignac, J. Cariou**, “Inversion algorithm and measurement system for microwave tomography of buried object”, Radio Science, vol. 35 , no. 5 , pp. 1097-1108, 2000.

**22. P. Meincke**, “Linear GPR inversion for lossy soil and a planar air-soil interface”, IEEE Trans. on Geoscience and Remote Sensing, vol. 39, no.12, pp. 2713-2721, Dec. 2001.

**23. A.G. Tijhuis, A.C. Belkebir, A.C.S. Litman, B.P. de Hon**, “Theoretical and computational aspects of two dimensional inverse profiling”, IEEE Trans. Geoscience and Remote Sensing., vol. 39, n. 6, pp. 1316-1330, Jun. 2001.

**24. T.J. Cui, W.C. Chew**, “Diffraction tomographic algorithm for the detection of three-dimensional objects buried in a lossy half-space”, IEEE Trans. on Antennas and Propagation, vol. 50, no.1, pp. 42-49, Jan. 2002

**25. P. M Meincke and T. B. Hansen**, Plane wave characterization of antennas close to a plane interface, IEEE Trans. on Geoscience and Remote Sensing, vol. 42, n. 6, pp. 1222-1232, 2004.

**26. A. Abubakar, P. M. van den Berg, S. Y. Semenov**, “A Robust Iterative Method for Born Inversion”, IEEE Transaction on Geoscience and Remote Sensing, vol. 42, no. 2, pp. 342-354, 2004.

**27. T. J. Cui, W. C. Chew, X. X. Yin, W. Hong**, “Study of Resolution and Super Resolution in Electromagnetic Imaging for Half space problems”, IEEE Transaction on Antennas and Propagation, vol. 52, n. 6, pp. 1398-1411, 2004.

**28. R. Persico, R. Bernini, F. Soldovieri**, “On the configuration of the measurements in inverse scattering from buried objects under the distorted Born approximation”, IEEE Trans. on Antennas and Prop., vol. 53, n. 6, pp. 1875-1886, June 2005.

**29. E. Slob, D. Draganov, K. Wapenaar**, Interferometric Electromagnetic Green’s functions representations using propagation invariants, Geophysical Journal International, vol. 169, pp. 60-80, 2007.

**30. C. P. Oden, M. H. Powers, D. L. Wright, G. R. Olhoeft**, Improving GPR Image resolution in Lossy ground Using Dispersive Migration, IEEE Trans. on Geos. and Rem. Sens., vol. 45, n. 8, pp. 2492-2500, August 2007

**31. R. Persico, F. Soldovieri**, Effects of the Background Removal in Linear Inverse Scattering, IEEE Trans. on Geos. and Rem. Sens., vol. 46, n. 4, pp. 1104-1114, April 2008.

**32. G. Meles, S. Greenhalg, J. van der Kruk, A. Green, H. Maurer**, “Taming the non-linearity problem in GPR full-waveform inversion fo high contrast media, Journal of Applied Geophysics, vol. 73, n. 2, pp. 174-186, 2011.