Shifting zoom in 2D linear inversions performed on GPR data gathered along an electrically large investigation domain

Abstract

In this paper, we deal with the problem of the size of the investigation domain in a 2D linear inversion algorithm applied to GPR data. Linear inverse scattering approaches involve the problem of the computational burden associated with the inversion of a matrix when regularization schemes are adopted. In real GPR applications, the domain of interest is significantly large in terms of probing wavelength and this makes it not feasible to approach it in a single inversion. A possible strategy regards the subdivision of the investigation and measurement domains in several adjacent sub-domains. The limitation surrounding the measurement domain involves problems related above all to the restriction of the view angle under which the targets are buried. In this paper we propose a method, that we will call “shifting zoom”, for the mitigation of this problem.