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Reconstruction of buried objects surrounded by small inhomogeneities

This paper deals with the reconstruction of the boundary and the permittivity of homogeneous objects from synthetic data. The method is based on a rigorous integral method and a conjugate gradient algorithm requiring the solution of only two direct problems at each step. To model some noise resulting from the inhomogeneity of the background, this object is surrounded by a set of point-like scatterers, arbitrarily distributed between the two parallel lines of measurement. Since convergence of the algorithm strongly depends on the initial guess, a method to detect a target in a random medium has been adapted. Statistical numerical results for reconstruction in a crosswell configuration are also presented.