2011
DOI: 10.1364/oe.19.008127
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Quantitative phase imaging with polychromatic x-ray sources

Abstract: We introduce theoretically and demonstrate experimentally a contrast transfer function based phase retrieval algorithm that reconstructs the projected thickness of an homogeneous sample using a polychromatic x-ray source. We show excellent quantitative recovery of test samples in 2D using a synchrotron source with significant harmonic contamination, and in 3D using a laboratory source.

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Cited by 8 publications
(14 citation statements)
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“…Our result was compared to polychromatic TIE [11] and CTF [12] reconstructions (figure 6). The TIE reconstruction employed an energy, β and δ of 19.137 keV,´-6.34 10 7 , -6.44 10 6 respectively.…”
Section: Discussionmentioning
confidence: 99%
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“…Our result was compared to polychromatic TIE [11] and CTF [12] reconstructions (figure 6). The TIE reconstruction employed an energy, β and δ of 19.137 keV,´-6.34 10 7 , -6.44 10 6 respectively.…”
Section: Discussionmentioning
confidence: 99%
“…Our method of reconstruction was compared to polychromatic versions of the transport of intensity equation (TIE) [11] and contrast transfer function (CTF) [12]. The TIE reconstruction used values of an energy, β and δ of 19.137 keV,´-6.34 10 7 and´-6.44 10 6 respectively.…”
Section: Algorithmmentioning
confidence: 99%
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“…The response of the sample now depends on the frequency, except in the trivial case of a binary object in which transmission is wholly through vacuum, for which n ω = 1 for all ω. The direct determination of thickness distributions has also been discussed in the context of a formulation based on the contrast transfer function [22,19]. The derivation of this approach depends critically on the assumption that only terms linear in T ( ) need be retained in a series expansion of the exponential function in Eq.…”
Section: Methodsmentioning
confidence: 99%
“…There has been some recent experimental activity in the use of X-rays to determine the thickness and nanoroughness of thin foils [19], so we have applied this new form of broadband ptychography to this problem. We consider the formulation of this procedure in the context of optical coherence theory and outline the iterative procedure that is used to determine thickness distributions of thin foils from independent sets of diffraction data obtained by scanning a sample.…”
Section: Introductionmentioning
confidence: 99%