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We consider a two-stage numerical procedure for imaging of objects buried indry sand using time-dependent backscattering experimental radar measurements.These measurements are generated by a single point source of electric pulsesand are collected using a microwave scattering facility which was built at theUniversity of North Carolina at Charlotte. Our imaging problem is formulated asthe inverse problem of the reconstruction of the spatially distributeddielectric permittivity $\varepsilon_\mathrm{r}\left(\mathbf{x}\right), \\mathbf{x}\in \mathbb{R}^{3}$, which is an unknown coefficient in Maxwell'sequations.  On the first stage an approximately globally convergent method is applied toget a good first approximation for the exact solution. On the second stage alocal adaptive finite element method is applied to refine the solution obtainedon the first stage. The two-stage numerical procedure results in accurateimaging of all three components of interest of targets: shapes, locations andrefractive indices. In this paper we briefly describe methods and present newreconstruction results for both stages.

Globally convergent and adaptive finite element methods in imaging of buried objects from experimental backscattering radar measurements