Electromagnetic inversion for subsurface applications under the distorted Born approximation

Pierri, R. and Leone, G. and Soldovieri, F. and Persico, R. (2001) Electromagnetic inversion for subsurface applications under the distorted Born approximation. Il nuovo cimento C, 24 C (2). pp. 245-262. ISSN 1826-9885

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The problem of reconstructing dielectric permittivity of a buried object from the knowledge of the scattered field is considered for a two-dimensional rectangular geometry at a fixed frequency. The linearization of the mathematical relationship between the dielectric permittivity function and the scattered field about a constant reference profile function and the approximation of actual internal field with the unperturbed field leads to the so-called Distorted Born Approximation. To analyze the limitations and capabilities of the linear inversion algorithms, we investigate the class of the retrievable profiles. This analysis makes it possible to point out that a very reduced number of independent data is available, so requiring to employ regularization techniques in order to perform in a reliable and stable way the linear inversions. In this paper we present a general algorithm consisting in a regularized Singular Value Decomposition of the matrix resulting from a discretization of the problem. Finally, numerical results of linear inversions are given.

Item Type: Article
Uncontrolled Keywords: Image reconstruction;tomograph y ; Electromagnetic wave propagation;radio wave propagation ; Diffraction and scattering
Subjects: 500 Scienze naturali e Matematica > 550 Scienze della Terra
Depositing User: Marina Spanti
Date Deposited: 10 Mar 2020 18:16
Last Modified: 10 Mar 2020 18:16
URI: http://eprints.bice.rm.cnr.it/id/eprint/14156

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