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arXiv · 1711.04227

Phase-and-amplitude recovery from a single phase contrast image using partially spatially coherent X-ray radiation

Mario A. Beltran·David M. Paganin·Daniele Pelliccia
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Abstract

A simple method of phase-and-amplitude extraction is derived that corrects for image blurring induced by partially spatially coherent incident illumination using only a single intensity image as input. The method is based on Fresnel diffraction theory for the case of high Fresnel number, merged with the space-frequency description formalism used to quantify partially coherent fields and assumes the object under study is composed of a single material. A priori knowledge of the object's complex refractive index and information obtained by characterizing the spatial coherence of the source is required. The algorithm was applied to propagation-based phase contrast data measured with a laboratory-based micro-focus X-ray source. The blurring due to the finite spatial extent of the source is embedded within the algorithm as a simple correction term to the so-called Paganin algorithm and is also numerically stable in the presence of noise.

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Mario A. Beltran, David M. Paganin, Daniele Pelliccia. 2018-03-18. Phase-and-amplitude recovery from a single phase contrast image using partially spatially coherent X-ray radiation. https://doi.org/10.1088/2040-8986%2Faabbdd

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