OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 13 — Jun. 23, 2008
  • pp: 9468–9479

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

F. Soldovieri, R. Solimene, and R. Pierri  »View Author Affiliations


Optics Express, Vol. 16, Issue 13, pp. 9468-9479 (2008)
http://dx.doi.org/10.1364/OE.16.009468


View Full Text Article

Enhanced HTML    Acrobat PDF (149 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

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, (see [11] for example), 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.

© 2008 Optical Society of America

OCIS Codes
(100.3190) Image processing : Inverse problems
(100.5070) Image processing : Phase retrieval
(100.3200) Image processing : Inverse scattering

ToC Category:
Image Processing

History
Original Manuscript: March 17, 2008
Revised Manuscript: April 27, 2008
Manuscript Accepted: May 14, 2008
Published: June 12, 2008

Citation
F. Soldovieri, R. Solimene, and R. Pierri, "Reconstructing the contour of metallic planar objects from only intensity scattered field data over a single plane," Opt. Express 16, 9468-9479 (2008)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-13-9468


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. R. Pierri, A. Liseno, R. Solimene, and F. Soldovieri, "Beyond physical optics SVD shape reconstruction of metallic cylinders," IEEE Trans. Antennas Propag. 54, 655-665 (2006). [CrossRef]
  2. R. E. Kleinman and P. M. van den Berg, "Two-dimensional location and shape reconstruction, Radio Sci. 29, 1157-1169 (1994). [CrossRef]
  3. E. A. Marengo, F. K. Gruber, and F. Simonetti, "Time-Reversal MUSIC Imaging of Extended Targets, IEEE Trans. Imag. Process. 16, 1967-1984 (2007). [CrossRef]
  4. A. J. Devaney, "Structure determination from intensity measurements in scattering experiments," Phys. Rev. Lett. 62, 2385-2388 (1989). [CrossRef] [PubMed]
  5. A. J. Devaney, "Diffraction tomographic reconstruction from intensity data," IEEE Trans. Imag. Process. 1, 221-228 (1991). [CrossRef]
  6. M. H. Maleki, A. J. Devaney, and A. Schatzberg, "Tomographic reconstruction from optical scattered intensities," J. Opt. Soc. Am. A 9, 1356-1363 (1992). [CrossRef]
  7. T. Takenaka, D. J. N. Wall, H. Harada, and M. Tanaka, "Reconstruction algorithm of the refracrive index of a cylindrical object from the intensity measurement of the total field," Microwave Opt. Technol. Lett. 14, 182-188 (1997). [CrossRef]
  8. L. Crocco, M. D???Urso, and T. Isernia, "Inverse scattering from phaseless measurements of the total field on a closed curve," J. Opt. Soc. Am. A 21, 622-631 (2004). [CrossRef]
  9. T. Isernia, G. Leone, and R. Pierri, "Phase retreival of radiated fields," Inverse Probl.  11, 183-203 (1995). [CrossRef]
  10. E. A. Marengo, R.D. Hernandez, and H. Lev-Ari, "Intensity-only signal-subspace-based imaging," J. Opt. Soc. Am. A 24, 3619-3635 (2007). [CrossRef]
  11. F. Soldovieri and R. Pierri, "Shape reconstruction of metallic objects from intensity scattered field data only," Opt. Lett. 33, 246-248 (2008). [CrossRef] [PubMed]
  12. G. Hislop, G. J. James, and A. Hellicar, "Phase retrieval of scattered fields," IEEE Trans. Antenn. Propag. 55, 2332-2341 (2007). [CrossRef]
  13. P. Bao, F. Zhang, G. Pedrini, and W. Osten, "Phase retreival using multiple illumination wavelengths," Opt. Lett. 33, 309-311 (2008). [CrossRef] [PubMed]
  14. G. Leone, R. Pierri, and F. Soldovieri, "Reconstruction of complex signals from intensities of Fourier-transform pairs," J. Opt. Soc. Am. A 13, 1546-1556 (1996). [CrossRef]
  15. C. A. Balanis, Advanced Engineering Electromagnetics (Wiley and Sons, Hoboken, N J, 1989).
  16. P. C. Clemmow, The Plane Wave Spectrum Representation of Electromagnetic Field (Wiley-IEEE Press, Hoboken, N J, 1996).
  17. I. Sabba Sefanescu, "On the phase retrieval problem in two dimensions," J. Math. Phys. 26, 2141-2160 (1985). [CrossRef]
  18. T. Isernia, G. Leone, and R. Pierri, "Phaseless near field techniques: uniqueness condition and attainment of the solution," J. Electron. Waves Appl. 8, 889-908 (1994).
  19. O. M. Bucci, C. Gennarelli, and C. Savarese, "Representation of electromagnetic fields over arbitrary surfaces by finite and nonredundant number of samples," IEEE Trans. Ant. Prop. 46, 351-359 (1998). [CrossRef]
  20. A. Requicha, "The zeros of entire functions: theory and engineering applications," Proc. of IEEE 68, 308-328 (1980). [CrossRef]
  21. R. Pierri and F. Soldovieri, "On the information content of the radiated fields in the near zone over buonded domains," InverseProbl. 14, 321-337 (1998). [CrossRef]
  22. D. Luenberger, Linear and Nonlinear Programming. Reading, (Addison-Wesley, 1987).
  23. R. Pierri, G. D???Elia, and F. Soldovieri, "A two probes scanning phaseless near-field far-field transformation technique," IEEE Trans. Ant. Prop. 47, 792-802 (1999). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Figures

Fig. 1. Fig. 2. Fig. 3.
 
Fig. 4.
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited