In this paper, a technique for the electromagnetic tomography of buried objects is proposed. More precisely, in the present approach a finite-element (FE) formulation of the electromagnetic problem is coupled with an inversion procedure performed in non-Hilbertian variable-exponent Lebesgue spaces to provide an image of the distribution of complex dielectric permittivity in the inspected subsurface environment. A test concerning a void-filled cylindrical target imaged by a set of waveguide antennas in a two-layer configuration has been performed to validate the method.
Assessment of a non-Hilbertian inverse scattering approach for electromagnetic tomography in subsurface environments
Schenone, Valentina;Fedeli, Alessandro;Estatico, Claudio;Pastorino, Matteo;Randazzo, Andrea
2023-01-01
Abstract
In this paper, a technique for the electromagnetic tomography of buried objects is proposed. More precisely, in the present approach a finite-element (FE) formulation of the electromagnetic problem is coupled with an inversion procedure performed in non-Hilbertian variable-exponent Lebesgue spaces to provide an image of the distribution of complex dielectric permittivity in the inspected subsurface environment. A test concerning a void-filled cylindrical target imaged by a set of waveguide antennas in a two-layer configuration has been performed to validate the method.
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