X-Ray Computed Tomography using Partially Coherent Fresnel Diffraction with Application to an Optical Fiber

Abstract

An algorithm for partially coherent x-ray computed tomography including Fresnel diffraction is developed and applied to an optical fiber. The computing time is a few times worse than the projective counterpart. A code using the algorithm is used to reconstruct a tilt series acquired at the 1~$\mu$m scale of a graded-index optical fiber with projections and diffraction, and using maximum likelihood and a Bayesian method due to Bouman and Sauer. Including Fresnel diffraction removes some reconstruction artifacts. The use of the Bayesian prior removes others.