OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 24 — Nov. 24, 2008
  • pp: 19950–19956

Phase Imaging Using A Polychromatic X-ray Laboratory Source

B.D. Arhatari, K. Hannah, E. Balaur, and A.G. Peele  »View Author Affiliations

Optics Express, Vol. 16, Issue 24, pp. 19950-19956 (2008)

View Full Text Article

Enhanced HTML    Acrobat PDF (554 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We describe a quantitative phase imaging process using an x-ray laboratory-based source with an extremely broad bandwidth spectrum. The thickness of a homogeneous object can be retrieved by using separately spectrally weighted values for the attenuation coefficient and the decrement of the real part of the refractive index. This method is valid for a wide range of object types, including objects with an absorption edge in the used energy range. The accessibility of conventional x-ray laboratory sources makes this method very useful for quantitative phase retrieval of homogeneous objects. We demonstrate the application of this method for quantitative phase retrieval imaging in tomographic measurements.

© 2008 Optical Society of America

OCIS Codes
(100.5070) Image processing : Phase retrieval
(340.0340) X-ray optics : X-ray optics
(340.7440) X-ray optics : X-ray imaging

ToC Category:
X-ray Optics

Original Manuscript: October 10, 2008
Revised Manuscript: November 2, 2008
Manuscript Accepted: November 12, 2008
Published: November 19, 2008

B. D. Arhatari, K. Hannah, E. Balaur, and A. G. Peele, "Phase imaging using a polychromatic x-ray laboratory source," Opt. Express 16, 19950-19956 (2008)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. A. Snigirev, I. Snigreva, 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]
  2. D. Gao, T. J. Davis, and S. W. Wilkins, "X-ray phase contrast imaging study of voids and fibres in a polymer matrix," Aust. J. Phys. 48, 103-111 (1995).
  3. R. Toth, J. C. Kieffer, S. Fourmaux, and T. Ozaki, "In-line phase contrast imaging with a laser-based hard x-ray source," Rev. Sci. Instrum. 76, 0837011-0837016 (2005). [CrossRef]
  4. F. Zernike, "Phase contrast, a new method for the microscopic observation of transparent objects," Physica 9, 686-698 (1942). [CrossRef]
  5. B. Zakharin and J. Stricker, "Schlieren systems with coherent illumination for quantitative measurements," Appl. Opt. 43, 4786-4795 (2004). [CrossRef] [PubMed]
  6. 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]
  7. D. Paganin, S. Mayo, T. E. Gureyev, P. R. Miller, and S. W. Wilkins, "Simultaneous phase and amplitude extraction from a single defocused image of a homogeneous object," J. Microsc. (Paris) 206, 33-40 (2002).
  8. K. A. Nugent, "Partially coherent diffraction patterns and coherence measurement," J. Opt. Soc. Am. A 8, 1574-1579 (1991). [CrossRef]
  9. B. D. Arhatari, A. P. Mancuso, A. G. Peele, and K. A. Nugent, "Phase contrast radiography: Image modelling and optimization," Rev. Sci. Instrum. 75, 5271-5276 (2004). [CrossRef]
  10. D. Paganin and K. A. Nugent, "Noninterferometric phase imaging with partially coherent light," Phys. Rev. Lett. 80, 2586-2589 (1998). [CrossRef]
  11. S. C. Mayo, P. R. Miller, S. W. Wilkins, T. J. Davis, D. Gao, T. E. Gureyev, D. Paganin, D. J. Parry, A. Pogany, and A. W. Stevenson, "Quantitative X-ray projection microscopy: phase-contrast and multi-spectral imaging," J. Microsc. 207, 79-96 (2002). [CrossRef] [PubMed]
  12. J. M. Cowley, Diffraction Physics, 3rd revised ed. (North-Holland, Amsterdam, 1995).
  13. B. D. Arhatari, F. De Carlo, and A. G. Peele, "Direct quantitative tomographic reconstruction for weakly absorbing homogeneous phase objects," Rev. Sci. Instrum. 78, 0537011-0537015 (2007). [CrossRef]
  14. G. R. Myers, S. Mayo, T. E. Gureyev, D. Paganin, and S. W. Wilkins, "Polychromatic cone-beam phase-contrast tomography," Phys.Rev. A 76, 1-4 (2007). [CrossRef]
  15. A. G. Peele, F. De Carlo, P. J. McMahon, B. B. Dhal, and K. A. Nugent, "X-ray phase contrast tomography with a bending magnet source," Rev. Sci. Instrum. 76, 837071-837075 (2005). [CrossRef]
  16. A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging (IEEE Press, New York, 1988).
  17. B. D. Arhatari, A. G. Peele, K. A. Nugent, and F. De Carlo, "Quality of the reconstruction in x-ray phase contrast tomography," Rev. Sci. Instrum. 77, 0637091-0637096 (2006). [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.


Fig. 1. Fig. 2. Fig. 3.
Fig. 4.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited