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Das M, Liang Z. Approximated transport-of-intensity equation for coded-aperture x-ray phase-contrast imaging. Opt Lett. 2014;39(18):5395-8doi: 10.1364/OL.39.005395.
Das, M., & Liang, Z. (2014). Approximated transport-of-intensity equation for coded-aperture x-ray phase-contrast imaging. Optics letters, 39(18), 5395-8. https://doi.org/10.1364/OL.39.005395
Das, Mini, and Liang, Zhihua. "Approximated transport-of-intensity equation for coded-aperture x-ray phase-contrast imaging." Optics letters vol. 39,18 (2014): 5395-8. doi: https://doi.org/10.1364/OL.39.005395
Das M, Liang Z. Approximated transport-of-intensity equation for coded-aperture x-ray phase-contrast imaging. Opt Lett. 2014 Sep 15;39(18):5395-8. doi: 10.1364/OL.39.005395. PMID: 26466281.
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Opt Lett. 2014 Sep 15;39(18):5395-8. doi: 10.1364/OL.39.005395.

Approximated transport-of-intensity equation for coded-aperture x-ray phase-contrast imaging.

Optics letters

Mini Das, Zhihua Liang

PMID: 26466281 DOI: 10.1364/OL.39.005395

Abstract

Transport-of-intensity equations (TIEs) allow better understanding of image formation and assist in simplifying the "phase problem" associated with phase-sensitive x-ray measurements. In this Letter, we present for the first time to our knowledge a simplified form of TIE that models x-ray differential phase-contrast (DPC) imaging with coded-aperture (CA) geometry. The validity of our approximation is demonstrated through comparison with an exact TIE in numerical simulations. The relative contributions of absorption, phase, and differential phase to the acquired phase-sensitive intensity images are made readily apparent with the approximate TIE, which may prove useful for solving the inverse phase-retrieval problem associated with these CA geometry based DPC.

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