Reconstructing the contour of metallic planar objects from only intensity scattered field data over a single plane.

The inverse scattering problem of recovering the contour of planar metallic scattering objects from only the amplitude of the scattered field is considered. A two step reconstruction procedure is proposed: first the phase of the scattered field is retrieved by solving a phase retrieval problem; then the objects' supports are reconstructed from the retrieved scattered field. Differently form previous approaches, here the amplitude of the scattered field is assumed known over a single plane in near zone but at two different frequencies. In this way, while the frequency diversity increases the number of independent data, relevant for ensuring the reliability of the phase retrieval stage, to perform measurements on a single plane allows some practical advantages. Numerical results show the performances achievable by the proposed reconstruction scheme with respect to the local minima problem and the stability against the noise on data.

[1]  Tommaso Isernia,et al.  Phaseless near field techniques: uniqueness conditions and attainment of the solution , 1994 .

[2]  Devaney.  Structure determination from intensity measurements in scattering experiments. , 1989, Physical review letters.

[3]  Giovanni Leone,et al.  Phase retrieval of radiated fields , 1995 .

[4]  Anthony J. Devaney,et al.  Tomographic reconstruction from optical scattered intensities , 1992 .

[5]  P. M. van den Berg,et al.  Two‐dimensional location and shape reconstruction , 1994 .

[6]  O. Bucci,et al.  Representation of electromagnetic fields over arbitrary surfaces by a finite and nonredundant number of samples , 1998 .

[7]  Francesco Soldovieri,et al.  Shape reconstruction of metallic objects from intensity scattered field data only. , 2008, Optics letters.

[8]  G. Pedrini,et al.  Phase retrieval using multiple illumination wavelengths. , 2008, Optics letters.

[9]  Anthony J. Devaney,et al.  Diffraction tomographic reconstruction from intensity data , 1992, IEEE Trans. Image Process..

[10]  A. Requicha,et al.  The zeros of entire functions: Theory and engineering applications , 1980, Proceedings of the IEEE.

[11]  Takashi Takenaka,et al.  Reconstruction algorithm of the refractive index of a cylindrical object from the intensity measurements of the total field , 1997 .

[12]  Francesco Simonetti,et al.  Time-Reversal MUSIC Imaging of Extended Targets , 2007, IEEE Transactions on Image Processing.

[13]  G. Hislop,et al.  Phase Retrieval of Scattered Fields , 2007, IEEE Transactions on Antennas and Propagation.

[14]  Hanoch Lev-Ari,et al.  Intensity-only signal-subspace-based imaging. , 2007, Journal of the Optical Society of America. A, Optics, image science, and vision.

[15]  R. Pierri,et al.  A two probes scanning phaseless near-field far-field transformation technique , 1999 .

[16]  G. Leone,et al.  Reconstruction of complex signals from intensities of Fourier-transform pairs , 1996 .

[17]  I. Stefanescu.  On the phase retrieval problem in two dimensions , 1985 .

[18]  Lorenzo Crocco,et al.  Inverse scattering from phaseless measurements of the total field on a closed curve. , 2004, Journal of the Optical Society of America. A, Optics, image science, and vision.

[19]  F. Soldovieri,et al.  Beyond physical optics SVD shape reconstruction of metallic cylinders , 2006, IEEE Transactions on Antennas and Propagation.