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

Mario Alejandro Beltran*, David M. Paganin, Daniele Pelliccia

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

22 Downloads (Pure)


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.
Original languageEnglish
Article number055605
JournalJournal of Optics
Issue number5
Number of pages5
Publication statusPublished - 2018


  • X-ray optics
  • Coherence theory
  • Imaging systems

Cite this