Gauging low-dose X-ray phase-contrast imaging at a single and large propagation distance

The interactions of a beam of hard and spatio-temporally coherent X-rays with a soft-matter sample primarily induce a transverse distribution of exit phase variations δϕ (retardations or advancements in pieces of the wave front exiting the object compared to the incoming wave front) whose free-space...

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Hauptverfasser: Hofmann, Ralf (VerfasserIn) , Schober, Alexander (VerfasserIn) , Hahn, Steffen (VerfasserIn) , Moosmann, Julian (VerfasserIn) , Kashef, Jubin (VerfasserIn) , Hertel, Madeleine (VerfasserIn) , Weinhardt, Venera (VerfasserIn) , Hänschke, Daniel (VerfasserIn) , Helfen, Lukas (VerfasserIn) , Salazar, Iván A. Sánchez (VerfasserIn) , Guigay, Jean-Pierre (VerfasserIn) , Xiao, Xianghui (VerfasserIn) , Baumbach, Tilo (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 19 Feb 2016
In: Optics express
Year: 2016, Jahrgang: 24, Heft: 4, Pages: 4331-4348
ISSN:1094-4087
DOI:10.1364/OE.24.004331
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1364/OE.24.004331
Verlag, lizenzpflichtig, Volltext: https://www.osapublishing.org/oe/abstract.cfm?uri=oe-24-4-4331
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Verfasserangaben:Ralf Hofmann, Alexander Schober, Steffen Hahn, Julian Moosmann, Jubin Kashef, Madeleine Hertel, Venera Weinhardt, Daniel Hänschke, Lukas Helfen, Iván A. Sánchez Salazar, Jean-Pierre Guigay, Xianghui Xiao, Tilo Baumbach

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520 |a The interactions of a beam of hard and spatio-temporally coherent X-rays with a soft-matter sample primarily induce a transverse distribution of exit phase variations δϕ (retardations or advancements in pieces of the wave front exiting the object compared to the incoming wave front) whose free-space propagation over a distance z gives rise to intensity contrast gz. For single-distance image detection and |δϕ| ≪ 1 all-order-in-z phase-intensity contrast transfer is linear in δϕ. Here we show that ideal coherence implies a decay of the (shot-)noise-to-signal ratio in gz and of the associated phase noise as z−1/2 and z−1, respectively. Limits on X-ray dose thus favor large values of z. We discuss how a phase-scaling symmetry, exact in the limit δϕ → 0 and dynamically unbroken up to |δϕ| ∼ 1, suggests a filtering of gz in Fourier space, preserving non-iterative quasi-linear phase retrieval for phase variations up to order unity if induced by multi-scale objects inducing phase variations δϕ of a broad spatial frequency spectrum. Such an approach continues to be applicable under an assumed phase-attenuation duality. Using synchrotron radiation, ex and in vivo microtomography on frog embryos exemplifies improved resolution compared to a conventional single-distance phase-retrieval algorithm. 
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