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Linear algorithms for phase retrieval in the Fresnel region: validity conditions

2015/03/24 by Timur E. Gureyev, Gureyev, T. E., Ya. I. Nesterets +1 · 1 citation
Engineering · Physics and Astronomy · #Advanced X-ray Imaging Techniques #Advancements in Photolithography Techniques #FOS: Physical sciences #Medical Physics (physics.med-ph) #X-ray Spectroscopy and Fluorescence Analysis

paper · pdf · doi:10.48550/arxiv.1503.06949

openalex publication_date 2015/03/24 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

We describe the relationship between different forms of linearized expressions for the spatial distribution of intensity of X-ray projection images obtained in the Fresnel region. We prove that under the natural validity conditions some of the previously published expressions can be simplified without a loss of accuracy. We also introduce modified validity conditions which are likely to be fulfilled in many relevant practical cases, and which lead to a further significant simplification of the expression for the image-plane intensity, permitting simple non-iterative linear algorithms for the phase retrieval.

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