Validation of the Reciprocity Gap Method for Maxwell´s Equations

In this paper, we present some study of the reciprocity gap functional method (RGM) for inverse scattering. The RGM method requires limited a priori information of the physical properties of the scatterer and involves only ill-posed linear integral equations. We give some analytical results in the case of a circular scatterer which can be used for guidance about what to expect when a regularized scheme is applied in the RGM. The results in this paper provide useful benchmarks of the capability of the RGM.