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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 10 — May. 10, 2010
  • pp: 9865–9878

The projection approximation and edge contrast for x-ray propagation-based phase contrast imaging of a cylindrical edge

K. S. Morgan, K. K. W. Siu, and D. M. Paganin  »View Author Affiliations

Optics Express, Vol. 18, Issue 10, pp. 9865-9878 (2010)

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We examine the projection approximation in the context of propagation-based phase contrast imaging using hard x-rays. Specifically, we consider the case of a cylinder or a rounded edge, as a simple model for the edges of many biological samples. The Argand-plane signature of a propagation-based phase contrast fringe from the edge of a cylinder is studied, and the evolution of this signature with propagation. This, along with experimental images obtained using a synchrotron source, reveals how propagation within the scattering volume is not fully described in the projection approximation's ray-based approach. This means that phase contrast fringes are underestimated by the projection approximation at a short object-to-detector propagation distance, namely a distance comparable to the free-space propagation within the volume. This failure of the projection approximation may become non-negligible in the detailed study of small anatomical features deep within a large body. Nevertheless, the projection approximation matches the exact solution for a larger propagation distance typical of those used in biomedical phase contrast imaging.

© 2010 OSA

OCIS Codes
(050.5080) Diffraction and gratings : Phase shift
(110.7440) Imaging systems : X-ray imaging
(170.3880) Medical optics and biotechnology : Medical and biological imaging
(260.0260) Physical optics : Physical optics
(340.0340) X-ray optics : X-ray optics
(340.7440) X-ray optics : X-ray imaging

ToC Category:
X-ray Optics

Original Manuscript: February 19, 2010
Revised Manuscript: April 13, 2010
Manuscript Accepted: April 19, 2010
Published: April 27, 2010

Virtual Issues
Vol. 5, Iss. 9 Virtual Journal for Biomedical Optics

K. S. Morgan, K. K. W. Siu, and D. M. Paganin, "The projection approximation and edge contrast for x-ray propagation-based phase contrast imaging of a cylindrical edge," Opt. Express 18, 9865-9878 (2010)

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