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Titel Multi-Focusing Procedure based on the Inexact-Newton Method for Electromagnetic Subsurface Prospecting
VerfasserIn Marco Salucci, Giacomo Oliveri, Andrea Massa, Andrea Randazzo, Matteo Pastorino
Konferenz EGU General Assembly 2014
Medientyp Artikel
Sprache Englisch
Digitales Dokument PDF
Erschienen In: GRA - Volume 16 (2014)
Datensatznummer 250095579
Publikation (Nr.) Volltext-Dokument vorhandenEGU/EGU2014-11040.pdf
 
Zusammenfassung
Ground penetrating radars (GPRs) are key instruments for subsurface monitoring and imaging. They can be used in different applicative fields, e.g., for the assessment of the structural stability of concrete structures and for the detection of targets buried inside inaccessible materials. In this framework, imaging systems based on the solution of the underlying inverse electromagnetic scattering problem have been acquiring an ever growing interest in the scientific community. In fact, they are able – at least in principle – to provide a quantitative reconstruction of the distributions of the dielectric properties (e.g., the dielectric permittivity and the electric conductivity) of the investigated scenario. Although good results have been obtained in recent years, there is still the need of further research, especially concerning the development of inversion procedure able to deal with the limitations arising from the non-linearity and ill-posedness of the underlying electromagnetic imaging formulation. In this work, a novel electromagnetic inverse scattering method is proposed for the reconstruction of shallow buried objects. The inversion procedure is based on the combination of different imaging modalities. In particular, an iterative multi-scaling approach [1] is adopted for focusing the reconstruction only on limited subdomains of the original investigation region. The data inversion is performed by applying an inexact-Newton method (which exhibits very good regularization properties) within the second-order Born approximation [2]. The use of this approximation allows a reduction of the problem unknowns and a mitigation of the nonlinear effects. The proposed approach has been validated by means of several numerical simulations. In particular, the reconstruction performances have been evaluated in terms of accuracy, robustness, noise levels, and computational efficiency, with particular emphasis on the comparisons with the results obtained by using the standard “bare” approach. This work is a contribution to COST Action TU1208 "Civil Engineering Applications of Ground Penetrating Radar". [1] S. Caorsi, M. Donelli, D. Franceschini, and A. Massa, "A New Methodology Based on an Iterative Multiscaling for Microwave Imaging," IEEE Trans. Microw. Theory Tech., vol. 51, no. 4, pp. 1162–1173, Apr. 2003. [2] C. Estatico, M. Pastorino, and A. Randazzo, "An Inexact-Newton Method for Short-Range Microwave Imaging Within the Second-Order Born Approximation," IEEE Trans. Geosci. Remote Sens., vol. 43, no. 11, pp. 2593–2605, Nov. 2005.