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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 22, Iss. 8 — Aug. 1, 2005
  • pp: 1691–1700

X-ray imaging: a generalized approach using phase-space tomography

Chanh Q. Tran, Andrew G. Peele, Ann Roberts, Keith A. Nugent, David Paterson, and Ian McNulty  »View Author Affiliations


JOSA A, Vol. 22, Issue 8, pp. 1691-1700 (2005)
http://dx.doi.org/10.1364/JOSAA.22.001691


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Abstract

We discuss the role of coherence in x-ray imaging and consider how phase-space tomography can be used to extract information about partial coherence. We describe the application of phase-space tomography to x-ray imaging and recover the spatial coherence properties of a one-dimensional soft (1.5 keV) x-ray beam from a synchrotron undulator source. We present phase-space information from a Young’s experiment and observe negative regions in the quasi-probability distribution. We show that, given knowledge of the coherence of the beam, we can use partially coherent diffraction data to recover fully coherent information, and we present some simple experimental demonstrations of this capability.

© 2005 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(110.4980) Imaging systems : Partial coherence in imaging
(340.6720) X-ray optics : Synchrotron radiation
(340.7440) X-ray optics : X-ray imaging

History
Original Manuscript: November 30, 2004
Manuscript Accepted: January 20, 2005
Published: August 1, 2005

Citation
Chanh Q. Tran, David Paterson, Ian McNulty, Andrew G. Peele, Ann Roberts, and Keith A. Nugent, "X-ray imaging: a generalized approach using phase-space tomography," J. Opt. Soc. Am. A 22, 1691-1700 (2005)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-22-8-1691


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References

  1. M. Sutton, S. G. J. Mochrie, T. Greytak, S. E. Nagler, L. E. Berman, G. A. Held, G. B. Stephenson, “Observation of speckle by diffraction with coherent x-rays,” Nature (London) 352, 608–610 (1991). [CrossRef]
  2. C. Jacobsen, M. Howells, J. Kirz, S. Rothman, “X-ray holographic microscopy using photoresists,” J. Opt. Soc. Am. A 7, 1847–1861 (1990). [CrossRef]
  3. P. Cloetens, R. Barrett, J. Baruchel, J. P. Guigay, M. Schlenker, “Phase objects in synchrotron radiation hard x-ray imaging,” J. Phys. D 29, 133–146 (1996). [CrossRef]
  4. J. W. Miao, P. Charalambous, J. Kirz, D. Sayre, “Extending the methodology of x-ray crystallography to allow imaging of micrometre-sized non-crystalline specimens,” Nature (London) 400, 342–344 (1999). [CrossRef]
  5. K. A. Nugent, T. E. Gureyev., D. F. Cookson, D. Paganin, Z. Barnea, “Quantitative phase imaging using hard x-rays,” Phys. Rev. Lett. 77, 2961–2964 (1996). [CrossRef] [PubMed]
  6. M. Born, E. Wolf, Principles of Optics, 6th ed. (Pergamon, 1980), pp. 522–526.
  7. For example, D. Cernadas, C. Trillo, A. F. Doval, J. C. Lopez, B. V. Dorrio, J. L. Fernandez, M. Perez-Amor, “Non-destructive testing with surface acoustic waves using double-pulse TV holography,” Meas. Sci. Technol. 13, 438–444 (2002).
  8. M. Jezek, Z. Hradil, “Reconstruction of spatial, phase and coherence properties of light,” J. Opt. Soc. Am. A 8, 1407–1416 (2004). [CrossRef]
  9. K. A. Nugent, “Wave field determination using 3-dimensional intensity information,” Phys. Rev. Lett. 68, 2261–2264 (1992). [CrossRef] [PubMed]
  10. M. G. Raymer, M. Beck, D. F. Mcalister, “Complex wave-field reconstruction using phase-space tomography,” Phys. Rev. Lett. 72, 1137–1140 (1994). [CrossRef] [PubMed]
  11. C. Q. Tran, A. G. Peele, A. Roberts, K. A. Nugent, D. Paterson, I. McNulty, “Synchrotron beam coherence: a spatially resolved measurement,” Opt. Lett. 30, 204–206 (2005). [CrossRef] [PubMed]
  12. E. Wolf, “Three-dimensional structure determination of semi-transparent objects from holographic data,” Opt. Commun. 1, 153–156 (1969). [CrossRef]
  13. E. Wolf, “Coherent mode new theory of partial coherence in the space-frequency domain. 1. Spectra and cross spectra of steady-state sources,” J. Opt. Soc. Am. 72, 343–351 (1982). [CrossRef]
  14. M. J. Bastiaans, “Application of the Wigner function to partially coherent light,” J. Opt. Soc. Am. A 3, 1227–1238 (1986). [CrossRef]
  15. J. W. Goodman, Statistical Optics (Wiley, 1985), pp. 199–200.
  16. I. McNulty, D. Paterson, J. Arko, M. Erdmann, S. P. Frigo, K. Goetze, P. Ilinski, N. Krapf, T. Mooney, C. C. Retsch, A. P. J. Stampfl, S. Vogt, Y. Wang, S. Xu, “The 2-ID-B intermediate-energy scanning X-ray microscope at the APS,” J. Phys. IV 104, 11–15 (2003).
  17. L. Mandel, E. Wolf, Optical Coherence and Quantum Optics (Cambridge Univ. Press, 1995), p. 163.
  18. D. Paterson, B. E. Allman, P. J. McMahon, J. J. A. Lin, N. Moldovan, K. A. Nugent, I. McNulty, C. T. Chantler, C. C. Retsch, T. H. K. Irving, D. C. Mancini, “Spatial coherence measurement of x-ray undulator radiation,” Opt. Commun. 195, 79–84 (2001). [CrossRef]
  19. K. B. Wolf, M. A. Alonso, G. W. Forbes, “Wigner functions for Helmholtz wave fields,” J. Opt. Soc. Am. A 16, 2476–2487 (1999). [CrossRef]
  20. C. Kurtsiefer, T. Pfau, J. Mlynek, “Measurement of the Wigner function of an ensemble of helium atoms,” Nature (London) 386, 150–153 (1997). [CrossRef]
  21. A. G. Peele, P. J. McMahon, D. Paterson, C. Q. Tran, A. P. Mancuso, K. A. Nugent, J. P. Hayes, E. Harvey, B. Lai, I. McNulty, “Observation of an x-ray vortex,” Opt. Lett. 27, 1752–1754 (2002). [CrossRef]

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