2013
DOI: 10.1364/ao.52.006940
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Strategies for efficient and fast wave optics simulation of coded-aperture and other x-ray phase-contrast imaging methods

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… Show more

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Cited by 40 publications
(31 citation statements)
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References 21 publications
(37 reference statements)
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“…Simulation of this type of system has already been carried out using geometrical optics 23 and the FresnelKirchhoff theory of diffraction 24,25 , with previous study showing that for an extended focal spot geometrical optics and Fresnel-Kirchoff theory produce equivalent results. 24,26 A simple voxelized geometrical optics based model has also been shown for an edge illumination system.…”
Section: Figmentioning
confidence: 99%
“…Simulation of this type of system has already been carried out using geometrical optics 23 and the FresnelKirchhoff theory of diffraction 24,25 , with previous study showing that for an extended focal spot geometrical optics and Fresnel-Kirchoff theory produce equivalent results. 24,26 A simple voxelized geometrical optics based model has also been shown for an edge illumination system.…”
Section: Figmentioning
confidence: 99%
“…Thus, it is possible to simulate much larger samples than with the regular two-dimensional simulation at a given resolution. Alternatively, for a given sample the grid spacing of the wave front can be refined to improve results by a higher sampling rate [21].…”
Section: Discussionmentioning
confidence: 99%
“…The intensity distribution on the detector plane for the object scan position s can then be written as 20 :…”
Section: Theorymentioning
confidence: 99%
“…The working principle of EI is shown in Fig. 1: a slit collimates the beam upstream of the object, typically down to [10][11][12][13][14][15][16][17][18][19][20] µm, and a second slit, positioned in front of the detector, stops half of the beam, while the remaining half is allowed through. This "edge illumination" configuration creates sensitivity to refraction in addition to attenuation: when x-rays are refracted towards the uncovered detector area, an increased intensity is measured.…”
Section: Introductionmentioning
confidence: 99%