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

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.

Cited by in corpus (5)

• X-ray Fokker--Planck equation for paraxial imaging
• Single-shot x-ray speckle-based imaging of a single-material object
• Boosting spatial resolution by incorporating periodic boundary conditions into single-distance hard-x-ray phase retrieval
• X-ray phase-contrast imaging: a broad overview of some fundamentals
• Tomographic phase and attenuation extraction for a sample composed of unknown materials using X-ray propagation-based phase-contrast imaging