A novel inverse scattering approach for a stratified slab without explicit knowledge of incident fields

A novel inverse scattering approach in time domain is presented for reconstructing electrical parameters of a stratified slab. The approach based on the field equivalence principle does not need explicit information of incident fields. Considering a problem equivalent to the original scattering problem inside the region bounded by the measurement points, a cost functional of electrical parameters of the slab is introduced. The minimization of the functional is achieved by a genetic algorithm. Numerical simulations of reconstructing the relative permittivity of a stratified dielectric slab demonstrate the efficacy of the proposed method.