Abstract

In order to quantitatively determine the projected electron densities of a sample, one needs to extract the monochromatic fringe phase shifts from the polychromatic fringe phase shifts measured in the grating interferometry with incoherent X-ray sources. In this work the authors propose a novel analytic approach that allows to directly compute the monochromatic fringe shifts from the polychromatic fringe shifts. This approach is validated with numerical simulations of several grating interferometry setups. This work provides a useful tool in quantitative imaging for biomedical and material science applications.

Highlights

  • X-ray grating interferometry is a differential X-ray phase-contrast imaging technique that has attracted intensive research efforts in recent years

  • This approach is valid only if the polychromatic and monochromatic fringe phase shifts are of few degrees and both have the same sign

  • In this work we proposed a general analytic approach, assuming the effective spectrum is known

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Summary

Introduction

X-ray grating interferometry is a differential X-ray phase-contrast imaging technique that has attracted intensive research efforts in recent years. This is because this technique may provide highly sensitive means for imaging soft tissues and low-Z materials, it has many potential applications in medical imaging and material science [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15]. The phase grating G1 serves as a beam splitter to generate interference fringes, which is recorded by the imaging detector. One may place an absorbing grating in front of the detector, and this grating serves as a fringe analyzer, which will be used when the fringe period is too small to be resolved by the detector pixels [4, 15]

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