Abstract
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.
Highlights
In the last decades, inverse electromagnetic scattering and near field imaging have been widely studied research topics [1]
It has been suggested that microwave imaging could be successfully used as a diagnostic technique in several areas, including civil and industrial engineering [3,4,5], nondestructive testing and evaluation [6,7,8,9], geophysical prospecting [10], and biomedical engineering [11,12,13,14]
The radiating part Peq of the induced source can be computed after the derivation of the singular value decomposition of (5) and the definition of its singular system {wμ, φμ; σμ}
Summary
An analytical approach to location and shape reconstruction of dielectric scatterers, that was recently proposed, is tested against experimental data. 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 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
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