Resolution in two-dimensional tomographic reconstructions in the Fresnel zone from Born scattered fields

The problem of determining the achievable resolution in the reconstruction of a dielectric object from the knowledge of its scattered field is dealt with. We face such problem for a two-dimensional and scalar geometry and assume the scattered field collected over a bounded and rectilinear domain located in the Fresnel zone with respect to the unknown object. The analysis is performed by casting the problem as the inversion of the linear operator arising from the Born approximation and by means of the singular value decomposition (SVD) of the relevant operator. The role of the parameters of the measurement configuration, as the sensing geometry and the adopted frequencies, is highlighted by using as guidelines results concerning the case of strip objects.