volume | PIER Journals

Abstract

Recently, referring to a homogeneous background, a new technique estimating the minimum convex hull of a source/scattering system from the radiated/scattered electromagnetic field data has been presented. In this paper, the approach is extended to the inhomogeneous background case by considering the source/scattering system and the observation domain embedded in two different homogeneous media. The underlying theory has been properly reformulated to account for the refraction phenomenon arising at the electromagnetic discontinuities boundaries by considering a 2D geometry. The performances of the technique have been estimated by means of a numerical analysis whose main representative results are presented and discussed in the paper.

1. Kleinman, R. E. and P. M. Van Der Berg, "Two dimensional location and shape reconstruction," Radio Sci., Vol. 29, 1157-1169, Jul.-Aug. 1994.
doi:10.1029/93RS03445 Google Scholar

2. Lesselier, S. D., B. Duchene, and , "Wavefield inversion of objects in stratified environments. From backpropagation schemes to full solutions," Review of Radio Sci. 1993-1996, W. W. R. Stone, Ed.,235{268, Oxford University Press, 1996. Google Scholar

3. Belkebir, K., R. E. Kleinman, and C. C. Pichot, "Microwave imaging-location and shape reconstruction from multi-frequency scattering data," IEEE Trans. Microwave Theory Tech., Vol. 45, Apr. 1997.
doi:10.1109/22.566625 Google Scholar

4. Lambert, M., D. Lesselier, and B. J. Kooij, "The retrieval of a buried cylindrical obstacle by a constrained modified gradient method in the H-polarization case and for Maxwellian materials," Inverse Problems, Vol. 14, No. 5, 1265-1283, Oct. 1998.
doi:10.1088/0266-5611/14/5/011 Google Scholar

5. Yaman, F., "Location and shape reconstructions of sound-soft obstacles buried in penetrable cylinders," Inverse Problems, Vol. 25, No. 6, 065005, Jun. 2009.
doi:10.1088/0266-5611/25/6/065005 Google Scholar

6. Capozzoli, A. and G. D'Elia, "Global optimization and antennas synthesis and diagnosis, Part one: Concepts, tools, strategies and performances," Progress In Electromagnetics Research, Vol. 56, 195-232, 2006.
doi:10.2528/PIER04123001 Google Scholar

7. Capozzoli, A. and G. D'Elia, "Global optimization and antennas synthesis and diagnosis, Part two: Applications to advanced re°ector antennas synthesis and diagnosis techniques," Progress In Electromagnetics Research, Vol. 56, 233-261, 2006.
doi:10.2528/PIER05032503 Google Scholar

8. Bucci, O. M., A. Capozzoli, and G. D'Elia, "Determination of the convex hull of radiating or scattering systems: A new, simple and effective approach," Inverse Problems, Vol. 18, 1621-1638, Dec. 2002.
doi:10.1088/0266-5611/18/6/313 Google Scholar

9. Lencrerot, R., A. Litman, H. Tortel, and J.-M. Geffrin, "Imposing Zernike representation for imaging two-dimensional targets," nverse Problems, Vol. 25, No. 3, 035012, Mar. 2009.
doi:10.1088/0266-5611/25/3/035012 Google Scholar

10. Potthast, R., J. Sylvester, and S. Kusiak, "A range test for determining scatterers with unknown physical properties," Inverse Problems, Vol. 19, No. 3, 533-547, Jun. 2003.
doi:10.1088/0266-5611/19/3/304 Google Scholar

11. Bucci, O. M., A. Capozzoll, C. Curcio, and G. D'Elia, "The experimental validation of a technique to find the convex hull of a scattering systems from field data," IEEE Antennas and Propagation Society International Symposium, Vol. 1, 539-542, Jun. 22-27, 2003. Google Scholar

12. Capozzoli, A., O. M. Bucci, G. D'Elia, and P. Vinetti, "A new technique finding the convex hull of a scattering system: Performance analysis and application to inhomogeneous backgrounds," Proc. URSI, 909-911, May 23-27, 2004. Google Scholar

13. Bucci, O. M., A. Capozzoli, and G. D'Elia, "A novel approach to scatterer localization problem," IEEE Trans. on Antennas and Propagation, Vol. 51, No. 8, 2079-2090, Aug. 2003.
doi:10.1109/TAP.2003.812233 Google Scholar

14. Daubechies, I., Ten Lectures on Wavelets and Applied Mathematics,, Society for Industrial and Applied Mathematics , 1992.
doi:10.1137/1.9781611970104

15. Born, M. and E. Wolf, Principles of Optics,, 7th Ed., Cambridge Press University, 1999.

16. Capozzoli, A., "A novel approach to shape reconstruction from field data," Atti della XIV Riunione Nazionale di Elettromagnetismo, Atti della XIV RiNEm, Riunione Nazionale di Elettromagnetismo (RiNEm), Ancona, Italia, Sep. 16-19, 2002. Google Scholar

17. Bucci, O. M., C. Gennarelli, and C. Savarese, "Representation of electromagnetics field over arbitrary surfaces by a finite and non redundant number of samples," IEEE Trans. on Antennas and Propagation, Vol. 46, No. 3, Mar. 1998.
doi:10.1109/8.662654 Google Scholar

Prof. Amedeo Capozzoli

Professor Giuseppe D'Elia

Dr. Pietro Vinetti