GPR prospecting in a layered medium via microwave tomography

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.

Abstract licence: CC BY

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