PUMA
Istituto di Scienza e Tecnologie dell'Informazione     
Genovesi S. Inverse scattering procedures for the reconstruction of one-dimensional permittivity range profiles.
 
 
Abstract
(English)
Inverse scattering is relevant to a very large class of problems, where the unknown structure of a scattering object is estimated by measuring the scattered field produced by known probing waves. Therefore, for more than three decades, the promises of non-invasive imaging inspection by electromagnetic probing radiations have been justifying a research interest on these techniques. Several application areas are involved, such as civil and industrial engineering, non-destructive testing and medical imaging as well as subsurface inspection for oil exploration or unexploded devices. In spite of this relevance, most scattering tomography techniques are not reliable enough to solve practical problems. Indeed, the nonlinear relationship between the scattered field and the object function and the robustness of the inversion algorithms are still open issues. In particular, microwave tomography presents a number of specific difficulties that make it much more involved to implement than, for instance, X-ray tomography but, at the same time, offers unique advantages over other probing radiations, since good sensitivities are shown in the microwave region to important parameters in many diagnostic applications. Our specific purpose, in the framework of a project financed by the Italian CNR (National Research Council) and the Italian Ministry of University and Research, is to reconstruct the one-dimensional permittivity range profiles of architectural objects from microwave backscattering data on a specific frequency range. A very important task is to identify discontinuities in the reconstructed profile, since they carry essential information on possible heterogeneous inclusions in the building materials. The structure of this work is described next. First, some useful background concepts regarding the inverse scattering problem are recalled. Then, the complete iterative procedure that we have developed for data inversion is described, which is based on a fully nonlinear data model in conjunction with an optimization technique. An experimental section, based on both numerical simulations and real measurements, is included to adequately validate the electromagnetic code as well as to assess the accuracy and efficiency of the reconstruction procedure. Finally, a detailed description of the in progress improvements to the present method along with future developments are presented.
Subject Inverse scattering
I.4.5 Reconstruction
68U20 Simulation


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