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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 52, Iss. 28 — Oct. 1, 2013
  • pp: 6940–6947

Strategies for efficient and fast wave optics simulation of coded-aperture and other x-ray phase-contrast imaging methods

Fabio A. Vittoria, Paul C. Diemoz, Marco Endrizzi, Luigi Rigon, Frances C. Lopez, Diego Dreossi, Peter R. T. Munro, and Alessandro Olivo  »View Author Affiliations


Applied Optics, Vol. 52, Issue 28, pp. 6940-6947 (2013)
http://dx.doi.org/10.1364/AO.52.006940


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Abstract

We derive a Fourier formulation of coded-aperture x-ray phase-contrast imaging, based on the wave theory of optics in the Fresnel approximation. We use this model to develop a flexible, efficient, and general simulation algorithm that can be easily adapted to other implementations of x-ray phase contrast imaging. Likewise, the algorithm enables a simple extension to 2D aperture designs, different acquisition schemes, etc. Problems related to numerical implementation of the algorithm are analyzed in detail, and simple rules are derived that enable us to avoid or at least mitigate them. Finally, comparisons with experimental data and data obtained with a different simulation algorithm are presented to validate the model and demonstrate its advantages in practical implementations. This also enabled us to demonstrate an increase in computational speed of more than one order of magnitude over a previous algorithm.

© 2013 Optical Society of America

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(110.7440) Imaging systems : X-ray imaging
(340.7430) X-ray optics : X-ray coded apertures

ToC Category:
X-ray Optics

History
Original Manuscript: May 9, 2013
Revised Manuscript: August 23, 2013
Manuscript Accepted: September 3, 2013
Published: September 30, 2013

Citation
Fabio A. Vittoria, Paul C. Diemoz, Marco Endrizzi, Luigi Rigon, Frances C. Lopez, Diego Dreossi, Peter R. T. Munro, and Alessandro Olivo, "Strategies for efficient and fast wave optics simulation of coded-aperture and other x-ray phase-contrast imaging methods," Appl. Opt. 52, 6940-6947 (2013)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-52-28-6940

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