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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 5 — Mar. 3, 2008
  • pp: 3223–3241

Some simple rules for contrast, signal-to-noise and resolution in in-line x-ray phase-contrast imaging

Timur E. Gureyev, Yakov I. Nesterets, Andrew W. Stevenson, Peter R. Miller, Andrew Pogany, and Stephen W. Wilkins  »View Author Affiliations


Optics Express, Vol. 16, Issue 5, pp. 3223-3241 (2008)
http://dx.doi.org/10.1364/OE.16.003223


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Abstract

Simple analytical expressions are derived for the spatial resolution, contrast and signal-to-noise in X-ray projection images of a generic phase edge. The obtained expressions take into account the maximum phase shift generated by the sample and the sharpness of the edge, as well as such parameters of the imaging set-up as the wavelength spectrum and the size of the incoherent source, the source-to-object and object-to-detector distances and the detector resolution. Different asymptotic behavior of the expressions in the cases of large and small Fresnel numbers is demonstrated. The analytical expressions are compared with the results of numerical simulations using Kirchhoff diffraction theory, as well as with experimental X-ray measurements.

© 2008 Optical Society of America

OCIS Codes
(110.2960) Imaging systems : Image analysis
(110.2990) Imaging systems : Image formation theory
(110.4980) Imaging systems : Partial coherence in imaging
(340.7440) X-ray optics : X-ray imaging

ToC Category:
X-ray Optics

History
Original Manuscript: November 21, 2007
Revised Manuscript: February 15, 2008
Manuscript Accepted: February 17, 2008
Published: February 22, 2008

Citation
Timur E. Gureyev, Yakov I. Nesterets, Andrew W. Stevenson, Peter R. Miller, Andrew Pogany, and Stephen W. Wilkins, "Some simple rules for contrast, signal-to-noise and resolution in in-line x-ray phase-contrast imaging," Opt. Express 16, 3223-3241 (2008)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-5-3223


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References

  1. R. Fitzgerald, "Phase-sensitive x-ray imaging," Physics Today 53, 23-26 (2000). [CrossRef]
  2. A. Snigirev, I. Snigireva, V. Kohn, S. Kuznetsov, and I. Schelokov, "On the possibilities of x-ray phase contrast microimaging by coherent high-energy synchrotron radiation," Rev. Sci. Instrum. 66, 5486-5492 (1995). [CrossRef]
  3. S. W. Wilkins, T. E. Gureyev, D. Gao, A. Pogany and A. W. Stevenson, "Phase-contrast imaging using polychromatic hard X-rays:," Nature 384, 335-338 (1996). [CrossRef]
  4. P. Cloetens, R. Barrett, J. Baruchel, J.-P. Guigay, and M. J. Schlenker, "Phase objects in synchrotron radiation hard x-ray imaging," J. Phys. D: Appl. Phys. 29, 133-146 (1996). [CrossRef]
  5. A. Krol, J. C. Kieffer and E. Foerster, "Laser-driven x-ray source for diagnostic radiology. Applications of X-rays Generated from Lasers and Other Bright Sources," Proc. SPIE 3157, 156-163 (1997). [CrossRef]
  6. T. A. Shelkovenko, D. B. Sinars, S. A. Pikuz, K. M. Chandler and D. A. Hammer, "Point-projection x-ray radiography using an X pinch as the radiation source," Rev. Sci. Instrum. 72, 667-670 (2001). [CrossRef]
  7. C. J. Kotre, I. P. Birch and K. J. Robson, "Anomalous image quality phantom scores in magnification mammography: evidence of phase contrast enhancement," British J. Radiol. 75, 170-173 (2002).
  8. J. M. Cowley, Diffraction Physics (North-Holland, Amsterdam, 1975), Sec.3.4.2.
  9. K. A. Nugent, T. E. Gureyev, D. F. Cookson, D. Paganin and Z. Barnea, "Quantitative phase imaging using hard X-rays," Phys. Rev. Lett. 77, 2961-2964 (1996). [CrossRef] [PubMed]
  10. Ya. I. Nesterets, S. W. Wilkins, T. E. Gureyev, A. Pogany, and A. W. Stevenson, "On the optimization of experimental parameters for x-ray in-line phase-contrast imaging," Rev. Sci. Instrum. 76, 093706 (2005). [CrossRef]
  11. M. R. Teague, "Deterministic Phase Retrieval: a Green's Function Solution," J. Opt. Soc. Am. 73, 1434-1441 (1983). [CrossRef]
  12. T. E. Gureyev and S. W. Wilkins, "On X-ray phase imaging with a point source," J. Opt. Soc. Am. A 15, 579-85 (1998). [CrossRef]
  13. T. E. Gureyev, A. Pogany, D. M. Paganin, and S. W. Wilkins, "Linear algorithms for phase retrieval in the Fresnel region," Opt. Commun. 231, 53-70 (2004). [CrossRef]
  14. T. E. Gureyev, D. M. Paganin, A. W. Stevenson, S. C. Mayo and S. W. Wilkins, "Generalized eikonal of partially coherent beams and its use in quantitative imaging," Phys. Rev. Lett. 93, 068103-1 - 068103-4 (2004). [CrossRef] [PubMed]
  15. T. E. Gureyev, Ya. I. Nesterets, D. M. Paganin, A. Pogany and S. W. Wilkins, "Linear algorithms for phase retrieval in the Fresnel region. 2. Partially coherent illumination," Opt. Commun. 259, 569-580 (2006). [CrossRef]
  16. A. Krol, R. Kincaid, M. Servol, J.-C. Kieffer, Y. Nesterets, T. Gureyev, A. Stevenson, S. Wilkins, H. Ye, E. Lipson, R. Toth, A. Pogany, and I. Coman, "Initial experimentation with in-line holography x-ray phase-contrast imaging with ultrafast laser-based x-ray source," Proc. SPIE 6510, 65100L (2007). [CrossRef]
  17. J.-P. Guigay, "Fourier transform analysis of Fresnel diffraction patterns and in-line holograms," Optik 49, 121-125 (1977).
  18. A. Pogany, D. Gao, and S. W. Wilkins, "Contrast and resolution in imaging with a microfocus X-ray source," Rev. Sci. Instrum. 68, 2774-2782 (1997). [CrossRef]
  19. P. Cloetens, J.-P. Guigay, C. De Martino, and J. Baruchel, "Fractional Talbot imaging of phase gratings with hard x rays," Opt. Lett. 22, 1059-1061 (1997). [CrossRef] [PubMed]
  20. V. E. Cosslett and W. C. Nixon, "The X-Ray Shadow Microscope," J. Appl. Phys. 24, 616-623 (1953). [CrossRef]
  21. G. Margaritondo and G. Tromba, "Coherence-based edge diffraction sharpening of x-ray images: a simple model," J. Appl. Phys. 85, 3406-3408 (1999). [CrossRef]
  22. K. Levenberg, "A method for the solution of certain non-linear problems in least squares," Quart. Appl. Math. 2, 164-168 (1944).
  23. D. Marquardt, "An algorithm for least-squares estimation of nonlinear parameters," SIAM J. Appl. Math. 11, 431-441 (1963). [CrossRef]
  24. S. Geller, "Parameter interaction in least squares structure refinement," Acta Cryst. 14, 1026-1035 (1961). [CrossRef]
  25. J. S. Rollett, Computing Methods in Crystallography (Pergamon Press, Oxford, 1965).
  26. W. C. Hamilton, "Significance tests on the crystallographic R factor," Acta Cryst. 18, 502-510 (1965). [CrossRef]
  27. S. Brennan and P. L. Cowan, "A suite of programs for calculating X-ray absorption, reflection, and diffraction performance for a variety of materials at arbitrary wavelengths," Rev. Sci. Instrum. 63, 850-853 (1992). [CrossRef]
  28. Y. Amemiya, K. Wakabayashi, H. Tanaka, Y. Ueno, and J. Miyahara, "Laser-stimulated luminescence used to measure X-ray diffraction of a contracting striated muscle," Science 237, 164-168 (1987). [CrossRef] [PubMed]
  29. Y. Amemiya, "Imaging plates for use with synchrotron radiation," J. Synch. Rad. 2, 13-21 (1995). [CrossRef]

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