Table of Contents
International Journal of Microwave Science and Technology
Volume 2012 (2012), Article ID 801324, 10 pages
Research Article

Location and Shape Reconstruction of 2D Dielectric Objects by Means of a Closed-Form Method: Preliminary Experimental Results

Diten, University of Genoa, Via Opera Pia 11A, 16145 Genoa, Italy

Received 30 March 2012; Accepted 31 May 2012

Academic Editor: Andrea Randazzo

Copyright © 2012 Gian Luigi Gragnani and Maurizio Diaz Mendez. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


An analytical approach to location and shape reconstruction of dielectric scatterers, that was recently proposed, is tested against experimental data. Since the cross-sections of the scatterers do not depend on the z coordinate, a 2D problem can be formulated. A closed-form singular value decomposition of the scattering integral operator is derived and is used to determine the radiating components of the equivalent source density. This is a preliminary step toward a more complete solution, which will take into account the incident field inside the investigation domain in order to provide the dielectric features of the scatterer and also the nonradiating sources. Reconstructions of the equivalent sources, performed on some scattering data belonging to the Fresnel database, show the capabilities of the method and, thanks to the closed-form solution, results are obtained in a very short computation time.