A convenient rewriting to the 2D inverse scattering problem based on the reduced scattered field

A new model for two-dimensional electromagnetic inverse scattering is introduced by means of a convenient rewriting of the pertinent integral equation and by exploiting the `reduced scattered field', which is underlying a recently introduced qualitative method. The proposed inverse scattering model exhibits a lower degree of nonlinearity with respect to parameters embedding dielectric characteristics as compared to the traditional model, thus suggesting its exploitation in the solution of the inverse problem.