Detection of buried objects by an electromagnetic method based on a differential evolution approach

A method for reconstructing dielectric objects buried in a half space is proposed. The approach is based on the inverse scattering formulation. The Green´s function for the half space is used as the kernel of the integral equations relating the dielectric properties of the object to the samples of the scattered electric field. The inverse problem is recast as a global optimization problem by constructing a functional to be minimized. A differential evolution method is used to obtain a global minimum of this functional. The paper provides the mathematical formulation of the approach. Moreover, numerical results are reported.