Wavelet galerkin algorithms for ground penetrating radar imaging

A new algorithm for fixed-offset Ground Penetrating Radar imaging is derived. The forward model of this inversion scheme is based on the Born approximation and the dyadic Green function for a two-layer medium. The forward model is inverted using the Wavelet Galerkin Algorithms for solving integral equations. We use the Laplacian operator to regularize the ill-posedness of the inverse problem. Numerical results are provided to illustrate performance of the inversion scheme.

I. Introduction

With ground penetrating radar, the location and properties of the buried objects are determined by the scattering data. The most common used method is to solve an inverse problem for the object function from the integral equations of wavefield scattering. If the solution is accurate enough, then its location, shape and reflectivity characteristics can be determined and therefore the object can be identified.