Multimonostatic Shape Reconstruction of Two-Dimensional Dielectric Cylinders by a Kirchhoff-Based Approach

The inverse problem of reconstructing the shape of dielectric cylinders by aspect-limited multimonostatic multifrequency electromagnetic scattering data is dealt with. The problem is formulated as a linear one by means of the physical-optics approximation distributional approach. The difference with respect to the case of perfectly electrical conducting scatterers is pointed out, since the penetrability of the scatterers is taken into account by considering the contribution of the “shadowed” side to the local reflection coefficient. The adopted model allows one to predict that both the “illuminated” and “shadowed” sides of the scatterer provide contribution to the reconstructed image but with a delocalization depending on the relative dielectric permittivity. The numerical results confirm this expectation and show the effectiveness of the approach.