2005
DOI: 10.1029/2004rs003034
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Effect of source and receiver radiation characteristics in subsurface prospecting within the distorted Born approximation

Abstract: [1] Linear models are widely adopted in subsurface prospecting because of the advantages in terms of effectiveness and numerical efficiency. They make it possible to simplify the problem of inverse scattering and at the same time to obtain acceptable results in locating buried objects. In this paper, we deal with subsurface prospecting where a model linearization is performed via distorted Born approximation and considering a half-space geometry in a two-dimensional scalar problem within a multistatic/multivie… Show more

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Cited by 27 publications
(15 citation statements)
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“…First of all, we recall that the electromagnetic field radiated by the antenna can be given under a spectral representation (Soldovieri et al, 2005); therefore, the radiated field (i.e., the incident field in our inversion) can be "physically interpreted" as the superposition of plane waves of different propagation directions. Differently in our inversion scheme we consider as incident field a plane wave with normal incidence (i.e., incidence direction along the z-axis).…”
Section: The Microwave Tomographic Approachmentioning
confidence: 99%
“…First of all, we recall that the electromagnetic field radiated by the antenna can be given under a spectral representation (Soldovieri et al, 2005); therefore, the radiated field (i.e., the incident field in our inversion) can be "physically interpreted" as the superposition of plane waves of different propagation directions. Differently in our inversion scheme we consider as incident field a plane wave with normal incidence (i.e., incidence direction along the z-axis).…”
Section: The Microwave Tomographic Approachmentioning
confidence: 99%
“…The problem at hand inserts into the framework of microwave tomography from GPR data, which has been largely investigated in the literature, both from the point of view of the imaging algorithms [30][31][32][33] and from the point of view of the effects of the soil and antennas on the data [34][35][36]. Applications to cases in the field have been also presented, e.g., in [37,38].…”
Section: Formulation Of the Inverse Scattering Problemmentioning
confidence: 99%
“…in cases wherein the objects are embedded in a homogeneous medium and the probes are placed around the investigated region, some interesting approaches and results have been given in [2]- [4]. For non destructive testing for geophysical, civil engineering, military and humanitarian applications, wherein the objects are buried in a homogeneous half-space and aspect limited data are available, a number of techniques have been developed in the framework of the BA [SI- [7] as well as within the more general non-linear case [SI-[ lo]. Similar approaches have been also proposed for the case ofobjects embedded in stratified media [ll], [12].…”
Section: Ntroductionmentioning
confidence: 99%
“…As a consequence, the contributions related to the singular values closer to zero would be strongly corrupted in presence of even little errors on data. In order to tackle such an instability, we introduce a regularized solution based on a Truncated SVD (TSVD) expansion [14]: (7) By restricting the solution space to that spanned by the first N singular functions, such a regularized solution allows to reduce the effect of errors on data in the reconstruction [l4]. However, a reduced number of terms in the expansion (7) leads to an approximate representation o f the sought unknown.…”
Section: The Linearized Approachmentioning
confidence: 99%
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