Shape reconstruction from PO multifrequency scattered fields via the singular value decomposition approach

This paper deals with the problem of determining the shape of unknown perfe ctly conducting infinitely long cylinders; starting from the knowledge of t he scattered electric far field under the incidence of plane waves with a f ixed angle of incidence and varying frequency. The problem is formulated as a nonlinear inverse one by searching for a com pact support distribution accounting for the objects contour. The nonlinear unknown to data mapping is then linearized by means of the Kirchhoff appro ximation, which reduces it into a Fourier transform relationship. Then, the Fourier transform inversion from incomplete data is dealt with by means of the singular value decomposition (SVD) approach and the features of the re constructable unknowns are investigated. Finally, numerical results confirm the performed analysis.