Microwave imaging of thin metallic cylinders

In this paper, we face the problem of determining the number and the locations of unknown thin cylinders from the knowledge of their scattered far field. The number and the locations of the unknown cylinders are described in terms of support of δ-functions. Neglecting the mutual interactions between the scatterers leads to a linear inverse problem which is solved by means of the Singular Value Decomposition approach. This problem is of interest in Ground Penetrating Radar and in civil engineering, where, for example, the problem arises of determining the number and the positions of reinforcement bars in concrete.