Reconstruction of buried objects surrounded by small inhomogeneities

This paper deals with the reconstruction of the boundary and the permittivi ty of homogeneous objects from synthetic data. The method is based on a rig orous integral method and a conjugate gradient algorithm requiring the solu tion of only two direct problems at each step. To model some noise resultin g from the inhomogeneity of the background, this object is surrounded by a set of point-like scatterers, arbitrarily distributed between the two paral lel lines of measurement. Since convergence of the algorithm strongly depen ds on the initial guess, a method to detect a target in a random medium has been adapted. Statistical numerical results for reconstruction in a crossw ell configuration are also presented.