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

Published

### Author(s)

Zachary H. Levine, Edward Garboczi, Adele Peskin, Axel A. Ekman, Elisabeth Mansfield, Jason Holm

### 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.
Citation
Optics Express
Volume
29
Issue
2

### Keywords

optical fiber , diffraction tomography , iterative reconstruction , maximum likelihood , Bayesian

## Citation

Levine, Z. , Garboczi, E. , Peskin, A. , Ekman, A. , Mansfield, E. and Holm, J. (2021), X-Ray Computed Tomography using Partially Coherent Fresnel Diffraction with Application to an Optical Fiber, Optics Express, [online], https://doi.org/10.1364/OE.414398 (Accessed April 15, 2021)
Created January 17, 2021, Updated January 11, 2021