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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

  • Editor: Stephen A. Burns
  • Vol. 25, Iss. 8 — Aug. 1, 2008
  • pp: 2025–2039

Efficiency of capturing a phase image using cone-beam x-ray Talbot interferometry

Wataru Yashiro, Yoshihiro Takeda, and Atsushi Momose  »View Author Affiliations


JOSA A, Vol. 25, Issue 8, pp. 2025-2039 (2008)
http://dx.doi.org/10.1364/JOSAA.25.002025


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Abstract

We assesses the efficiency of x-ray Talbot interferometry (XTI), a technique based on the Talbot effect for measuring a wavefront gradient, in terms of how quickly it can capture a high-quality phase image with a large signal-to-noise ratio for a given incident photon number. Photon statistics cause errors in the phase of the moiré fringes and impose a detection limit on the wavefront gradient. The relation between the incident photon number and the detection limit is determined, and a figure of merit of XTI for a monochromatic cone beam is then defined. The dependence of the figure of merit on optical system parameters, such as grating pitch and position, is then discussed. The effects of varying the pattern height and linewidth of the second grating are shown for rectangular and trapezoidal teeth. Finally, we show how to design a practical cone-beam Talbot interferometer for certain boundary conditions.

© 2008 Optical Society of America

OCIS Codes
(110.6760) Imaging systems : Talbot and self-imaging effects
(170.0170) Medical optics and biotechnology : Medical optics and biotechnology
(340.7450) X-ray optics : X-ray interferometry

ToC Category:
Imaging Systems

History
Original Manuscript: January 24, 2008
Revised Manuscript: May 12, 2008
Manuscript Accepted: May 15, 2008
Published: July 14, 2008

Virtual Issues
Vol. 3, Iss. 9 Virtual Journal for Biomedical Optics

Citation
Wataru Yashiro, Yoshihiro Takeda, and Atsushi Momose, "Efficiency of capturing a phase image using cone-beam x-ray Talbot interferometry," J. Opt. Soc. Am. A 25, 2025-2039 (2008)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-25-8-2025

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