Faithful non-linear imaging from only-amplitude measurements of incident and total fields
Optics Express, Vol. 15, Issue 7, pp. 3804-3815 (2007)
http://dx.doi.org/10.1364/OE.15.003804
Enhanced HTML
Acrobat PDF (257 KB)
Abstract
Applicability of inverse scattering based imaging procedures can be broadened by developing new approaches exploiting only amplitude data. As a matter of fact, this can open the way to simpler and less expensive measurement set-ups. In this respect, a two-step based procedure for solving electromagnetic nonlinear inverse scattering problems from only amplitude measurements of the total field has been recently proposed [
© 2007 Optical Society of America
OCIS Codes
(100.3190) Image processing : Inverse problems
(100.5070) Image processing : Phase retrieval
(100.6950) Image processing : Tomographic image processing
(290.3200) Scattering : Inverse scattering
ToC Category:
Image Processing
History
Original Manuscript: November 10, 2006
Revised Manuscript: February 5, 2007
Manuscript Accepted: February 16, 2007
Published: April 2, 2007
Citation
Lorenzo Crocco, Michele D'Urso, and Tommaso Isernia, "Faithful non-linear imaging from only-amplitude measurements of incident and total fields," Opt. Express 15, 3804-3815 (2007)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-7-3804
Sort: Year | Journal | Reset
References
- L. Crocco, M. D’Urso, 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]
- O. M. Bucci, L. Crocco, M. D’Urso, T. Isernia, "Inverse scattering from phaseless measurements of the total field on open lines," J. Opt. Soc. Am. A 23, 2566-2577 (2006). [CrossRef]
- M. A. Fiddy, M. Testorf, "Inverse scattering method applied to the synthesis of strongly scattering structures," Opt. Express 14, 2037-2046 (2006). [CrossRef] [PubMed]
- 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). [CrossRef] [PubMed]
- R. E. Kleinman and P. M. van den Berg, "A Contrast Source inversion method," Inverse Probl. 13, 1607-1620 (1997). [CrossRef]
- P. C. Chaumet, K. Belkebir, and R. Lencrerot, "Three-dimensional optical imaging in layered media,"Opt. Express 14, 3415-3426 (2006). [CrossRef] [PubMed]
- M. H. Maleki, A. J. Devaney, A. Schatzberg, "Tomographic reconstruction from optical scattered intensities," J. Opt. Soc. Am. A 10, 1356-1363 (1992). [CrossRef]
- M. H. Maleki, A. J. Devaney, "Phase retrieval and intensity-only reconstruction algorithms from optical diffraction tomography," J. Opt. Soc. Am. A 10, 1086-1092 (1993). [CrossRef]
- A. Litman and K. Belkebir, "Two-dimensional inverse profiling using phaseless data," J. Opt. Soc. Am. A 23, 2737-2746 (2006). [CrossRef]
- T. Takenaka, D. J. N. Wall, H. Harada, 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). [CrossRef]
- S. Caorsi, A. Massa, M. Pastorino, 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). [CrossRef]
- T. Isernia, G. Leone, R. Pierri, 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) [CrossRef]
- O. M. Bucci, C. Gennarelli and C. Savarese, "Representation of electromagnetic fields over arbitrary surfaces by a finite and non redundant number of samples," IEEE Trans. Antennas Propag 46, 351-359 (1998). [CrossRef]
- D. L. Misell, "A method for the solution of the phase problem in Electron Microscopy," J. Phys. D 6, L6-L9 (1973). [CrossRef]
- R. J. Fienup, "Reconstruction of a complex valued object from the modulus of its Fourier transform pairs from noisy data II. The non-linear problem of phase retrieval," J. Integr. Eq. 77-125 (1985).
- R. P. Millane, "Phase retrieval in crystallography and optics," J. Opt. Soc. Am. A 7, 394-411 (1990). [CrossRef]
- R. Harrison, "Phase retrieval in crystallography," J. Opt. Soc. Am. A 7, 1046-1055 (1990)
- K. Belkebir and M. Saillard, "Special section: Testing inversion algorithms against real data: inhomogeneous targets," Inverse Probl. 21, (2005).
- T. Isernia, L. Crocco and M. D’Urso, "New tools and series for forward and inverse scattering problems in lossy media," IEEE Trans. Geosci. Remote Sens. Lett. 1, 331-337 (2004). [CrossRef]
- 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) [CrossRef]
- T. M. Habashy, R. Groom, W. B. Spies, "Beyond the Born and Rytov Approximations: a Non-Linear Approach to Electromagnetic Scattering," J. Geophys. Research 98, 1795-1775 (1993) [CrossRef]
- P. Debye, "Das Verhalten von Lichtwellen in der Nahe eines Brenpunktes oder einer Brennlinie," Ann. P. Physik 4, 30- 57 (1909).
- O. M. Bucci, T. Isernia, "Electromagnetic inverse scattering: retrievable information and measurement strategies," Radio Science 32, 2123-2138 (1997). [CrossRef]
- O. M. Bucci, L. Crocco, T. Isernia, "Improving the reconstruction capabilities in inverse scattering problems by exploiting ‘near proximity’ set-ups," J. Opt. Soc. Am. A 16, 1788-1798 (1999). [CrossRef]
- T. Isernia, G. Leone and R. Pierri, "Phase retrieval of radiated fields," Inverse Probl. 11183-203 (1995). [CrossRef]
- R. Pierri, A. Cutolo, T. Isernia, I. Izzo, L. Zeni, "Transverse mode analysis of a laser beam by near-and far-field intensity measurements," Appl. Opt. 34, 7974-7978 (1995). [CrossRef] [PubMed]
- T. Isernia, G. Leone, and R. Pierri, "New technique for estimation of far field from near zone phaseless data," Electron. Lett. 27, 652-654 (1991). [CrossRef]
- M. Bertero and P. Boccacci, Introduction to Inverse Problems in Imaging, Inst. of Physics; Bristol & Philadelphia, UK (1998). [CrossRef]
Cited By |
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.





OSA is a member of 