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17 September 2008 Validity of a fully coherent field model for in-line x-ray phase imaging
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Accurate models that describe the propagation of partially coherent wave fields and their interaction with refractive index inhomogeneities within a sample are required to optimally design X-ray phase-contrast imaging systems. Several methods have been proposed for the direct propagation of the second-order statistical properties of a wave field. One method, which has been demonstrated for x-ray microscopy, employs a single eikonal for propagation, approximating the phase by an average over the temporal Fourier components of the field. We have revisited this method by use of a coherent mode model from classic coherence theory. Our analysis produces a variant of the transport of intensity equation for partially coherent wave fields.
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Adam M. Zysk, Miles N. Wernick, and Mark A. Anastasio "Validity of a fully coherent field model for in-line x-ray phase imaging", Proc. SPIE 7078, Developments in X-Ray Tomography VI, 70781A (17 September 2008);

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