Phaseless imaging with experimental data: Facts and challenges

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 25, Issue 1, 2008, Pages 271-281

  D'Urso, Michele ^a   Belkebir, Kamal ^b   Crocco, Lorenzo ^c   Isernia, Tommaso ^d   Litman, Amélie ^b  

^a UNIVERSITY OF NAPLES FEDERICO II   (Italy)

^b AIX MARSEILLE UNIVERSITÉ   (France)

^c INSTITUTE FOR ELECTROMAGNETIC SENSING OF THE ENVIRONMENT   (Italy)

^d UNIVERSITY MEDITERRANEA OF REGGIO CALABRIA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

DATA PROCESSING; GLOBAL OPTIMIZATION; INVERSE PROBLEMS; NONBIBLIOGRAPHIC RETRIEVAL SYSTEMS;

INVERSE SCATTERING PROBLEM; PHASELESS IMAGING;

IMAGING SYSTEMS;

EID: 40149110671     PISSN: 10847529     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAA.25.000271     Document Type: Article

References (25)

1. D. Colton and R. Kress, Inverse Acoustic and Electromagnetic Scattering Theory (Springer-Verlag, 1998).
2. P. C. Chaumet, K. Belkebir, and A. Sentenac, “Superresolution of three-dimensional optical imaging by use of evanescent waves,” Opt. Lett. 29, 2740–2742 (2004).
3. P. C. Chaumet, K. Belkebir, and R. Lencrerot, “Three-dimensional optical imaging in layered media,” Opt. Express 14, 3415–3426 (2006).
4. M. A. Fiddy and M. Testorf, “Inverse scattering method applied to the synthesis of strongly scattering structures,” Opt. Express 14, 2037–2046 (2006).
5. V. Lauer, “New approach to optical diffraction tomography yielding a vector equation of diffraction tomography and a novel tomographic microscope,” J. Microsc. 205, 165–176 (2002).
6. N. Destouches, C. A. Guérin, M. Lequime, and H. Giovannini, “Determination of the phase of the diffracted field in the optical domain. Application to the reconstruction of surface profiles,” Opt. Commun. 198, 233–239 (2001).
7. 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).
8. M. H. Maleki, A. J. Devaney, and A. Schatzberg, “Tomographic reconstruction from optical scattered intensities,” J. Opt. Soc. Am. A 9, 1356–1363 (1992).
9. M. H. Maleki and A. J. Devaney, “Phase retrieval and intensity-only reconstruction algorithms from optical diffraction tomography,” J. Opt. Soc. Am. A 10, 1086–1092 (1993).
10. T. Takenaka, D. J. N. Wall, H. Harada, and M. Tanaka, “Reconstruction algorithm of the refractive index of a cylindrical object from the intensity measurements of the total field,” Microwave Opt. Technol. Lett. 14, 182–188 (1997).
11. S. Caorsi, A. Massa, M. Pastorino, and A. Randazzo, “Electromagnetic detection of dielectric scatterers using phaseless synthetic and real data and the Memetic Algorithm,” IEEE Trans. Geosci. Remote Sens. 41, 2745–2752 (2003).
12. G. Franceschini, M. Donelli, R. Azaro, and A. Massa, “Inversion of phaseless total field data using a two-step strategy based on the iterative multiscaling approach,” IEEE Trans. Geosci. Remote Sens. 41, 3527–3539 (2006).
13. O. M. Bucci, L. Crocco, M. D’Urso, and T. Isernia, “Inverse scattering from phaseless measurements of the total field on open lines,” J. Opt. Soc. Am. A 23, 2566–2577 (2006).
14. T. Isernia, G. Leone, R. Pierri, and F. Soldovieri, “Role of the support and zero locations in phase retrieval by a quadratic approach,” J. Opt. Soc. Am. A 16, 1845–1856 (1999).
15. O. M. Bucci, C. Gennarelli, and C. Savarese, “Representation of electromagnetics fields over arbitrary surfaces by a finite and nonredundant number of samples,” IEEE Trans. Antennas Propag. 46, 351–359 (1998).
16. O. M. Bucci and T. Isernia, “Electromagnetic inverse scattering: retrievable information and measurement strategies,” Radio Sci. 32, 2123–2138 (1997).
17. L. Crocco, M. D’Urso, and T. Isernia, “Faithful non-linear imaging from only-amplitude measurements of incident and total fields,” Opt. Express 15, 3804–3815 (2007).
18. R. E. Kleinman and P. M. van den Berg, “A contrast source inversion method,” Inverse Probl. 13, 1607–1620 (1997).
19. O. M. Bucci, N. Cardace, L. Crocco, and T. Isernia, “Degree of nonlinearity and a new solution procedure in scalar 2-D inverse scattering problems,” J. Opt. Soc. Am. A 18, 1832–1843 (2001).
20. T. Isernia, L. Crocco, and M. D’Urso, “New tools and series for forward and inverse scattering problems in lossy media,” IEEE GRSS Geosci. Remote Sens. Lett. 1, 327–331 (2004).
21. L. Crocco, M. D’Urso, and T. Isernia, “Testing the contrast source extended born method against real data: the TM case,” Inverse Probl. 21, S33–S50 (2005).
22. T. Isernia, V. Pascazio, and R. Pierri, “On the local minima in a tomographic imaging technique,” IEEE Trans. Geosci. Remote Sens. 39, 1596–1607 (2001).
23. K. Belkebir and M. Saillard, “Special section: Testing inversion algorithms against real data,” Inverse Probl. 17, 1565–2028(2001).
24. K. Belkebir and M. Saillard, “Special section: Testing inversion algorithms against real data: inhomogeneous targets,” Inverse Probl. 21, S1–S165 (2005).
25. J.-M. Geffrin, P. Sabouroux, and C. Eyraud, “Free space experimental scattering database continuation: experimental set-up and measurement precision,” Inverse Probl. 21, S117–S130 (2005).