Imaging of buried objects from multi-frequency experimental data using a globally convergent inversion method

摘要

This paper is concerned with the numerical solution to a 3D coefficientinverse problem for buried objects with multi-frequency experimental data. Themeasured data, which are associated with a single direction of an incidentplane wave, are backscatter data for targets buried in a sandbox. These rawscattering data were collected using a microwave scattering facility at theUniversity of North Carolina at Charlotte. We develop a data preprocessingprocedure and exploit a newly developed globally convergent inversion methodfor solving the inverse problem with these preprocessed data. It is shown thatdielectric constants of the buried targets as well as their locations arereconstructed with a very good accuracy. We also prove a new analytical resultwhich rigorously justifies an important step of the so-called "datapropagation" procedure.