GPR prospecting in a layered medium via microwave tomography

L. Crocco, F. Soldovieri


The tomographic approach appears to be a promising way to elaborate Ground Penetrating Radar (GPR) data in
order to achieve quantitative information on the tested regions. In this paper, we apply a linearized tomographic
approach to the reconstruction of dielectric objects embedded in a layered medium. The problem is tackled with
reference to a two-dimensional geometry and scalar case when data are collected over a linear domain with finite
extent. In particular, in order to increase the amount of independent available data, a multi-frequency/multi-view/
multi-static measurement configuration is considered. With reference to stepped-frequency radar, this means that
for each working frequency and for each position of the transmitting antenna (moved along a linear domain),
the electric field scattered by the buried targets is measured in several locations along the same linear domain.
The proposed inversion approach is based on the Born approximation and a regularized solution is introduced
by means of the Singular Value Decomposition (SVD). The problem of determining the optimal measurement
configuration (in terms of number of frequencies and number of transmitting and receiving antennas) is also tackled
by a numerical analysis relying on the Singular Value Decomposition (SVD). Numerical examples are provided
to assess the effectiveness and robustness of the proposed approach against noise on data.


GPR;microwave tomography;inversescattering;ill-posed problems

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Published by INGV, Istituto Nazionale di Geofisica e Vulcanologia - ISSN: 2037-416X