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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 27 — Dec. 19, 2011
  • pp: 25881–25890

Criticality in single-distance phase retrieval

Ralf Hofmann, Julian Moosmann, and Tilo Baumbach  »View Author Affiliations


Optics Express, Vol. 19, Issue 27, pp. 25881-25890 (2011)
http://dx.doi.org/10.1364/OE.19.025881


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Abstract

We investigate why in free-space propagation single-distance phase retrieval based on a modified contrast-transfer function of linearized Fresnel theory yields good results for moderately strong pure-phase objects. Upscaling phase-variations in the exit plane, the growth of maxima of the modulus of the Fourier transformed intensity contrast dominates the minima. Cutting out small regions around the latter thus keeps information loss due to nonlocal, nonlinear effects negligible. This quasiparticle approach breaks down at a critical upscaling where the positions of the minima start to move rapidly. We apply our results to X-ray data of an early-stage Xenopus (frog) embryo.

© 2011 OSA

OCIS Codes
(100.2960) Image processing : Image analysis
(100.3010) Image processing : Image reconstruction techniques
(100.5070) Image processing : Phase retrieval
(340.7440) X-ray optics : X-ray imaging

ToC Category:
Image Processing

History
Original Manuscript: September 16, 2011
Revised Manuscript: October 21, 2011
Manuscript Accepted: October 26, 2011
Published: December 5, 2011

Virtual Issues
Vol. 7, Iss. 2 Virtual Journal for Biomedical Optics

Citation
Ralf Hofmann, Julian Moosmann, and Tilo Baumbach, "Criticality in single-distance phase retrieval," Opt. Express 19, 25881-25890 (2011)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-27-25881


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References

  1. A. Snigirev, I. Snigireva, V. Kohn, S. Kuznetsov, and I. Schelokov, “On the possibilities of Xray phase contrast microimaging by coherent high-energy synchrotron radiation,” Rev. Sci. Instrum.66, 5486–5492 (1995). [CrossRef]
  2. S. W. Wilkins, T. E. Gureyev, D. Gao, A. Pogany, and A. W. Stevenson, “Phase-contrast imaging using polychromatic hard X-rays,” Nature384, 335–338 (1996). [CrossRef]
  3. K. A. Nugent, T. E. Gureyev, D. F. Cookson, D. M. Paganin, and Z. Barnea, “Quantitative phase imaging using hard X rays,” Phys. Rev. Lett.77, 2961–2964 (1996). [CrossRef] [PubMed]
  4. P. Cloetens, “Contribution to phase contrast imaging, reconstruction and tomography with hard synchrotron radiation,” PhD dissertation, Vrije Universiteit Brussel (1999).
  5. P. Cloetens, W. Ludwig, J. Baruchel, J.-P. Guigay, P. Rejmankova-Pernot, M. Salome, M. Schlenker, J. Y. Buffiere, E. Maire, and G. Peix, “Hard X-ray phase imaging using simple propagation of a coherent synchrotron radiation beam,” J. Phys. D: Appl. Phys.32, A145–A151 (1999). [CrossRef]
  6. S. Zabler, P. Cloetens, J.-P. Guigay, J. Baruchel, and M. Schlenker, “Optimization of phase contrast imaging using hard X rays,” Rev. Sci. Instrum.76, 073705 (2005). [CrossRef]
  7. M. R. Teague, “Deterministic phase retrieval: a Greens function solution,” J. Opt. Soc. Am.73, 1434–1441 (1983). [CrossRef]
  8. J.-P. Guigay, “Fourier transform analysis of Fresnel diffraction patterns and in-line holograms,” Optik49, 121–125 (1977).
  9. T. E. Gureyev, Y. Nesterets, D. Paganin, A. Pogany, and S. Wilkins, “Linear algorithms for phase retrieval in the Fresnel region. 2. partially coherent illumination,” Opt. Commun259, 569–580 (2006). [CrossRef]
  10. J. Moosmann, R. Hofmann, and T. Baumbach, “Single-distance phase retrieval at large phase shifts,” Opt. Express19, 12066–12073 (2011). [CrossRef] [PubMed]
  11. L. D. Landau, “The theory of a Fermi liquid,” Sov. Phys. JETP3, 920–925 (1957).
  12. J. Goldstone, “Field theories with superconductor solutions,” Nuovo Cimento19, 154–164 (1961). [CrossRef]
  13. J. Goldstone, A. Salam, and S. Weinberg, “Broken symmetries,” Phys. Rev.127, 965–970 (1962). [CrossRef]
  14. Y. Nambu, “Quasiparticles and gauge invariance in the theory of superconductivity,” Phys. Rev.117, 648–663 (1960). [CrossRef]
  15. F. Zernike, “Phase-contrast, a new method for microscopic observation of transparent objects. Part I.,” Physica9, 686–698 (1942). [CrossRef]
  16. F. Zernike, “Phase-contrast, a new method for microscopic observation of transparent objects. Part II.,” Physica9, 974–986 (1942). [CrossRef]
  17. J. Moosmann, V. Altapova, D. Hänschke, R. Hofmann, and T. Baumbach, “Nonlinear, noniterative, single-distance phase retrieval and developmental biology,” submitted to AIP Proceedings, ICXOM 21.

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