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Title: Phase retrieval in x-ray coherent Fresnel projection-geometry diffraction

Abstract

Coherent x-ray diffraction experiments were performed in Fresnel regime, within a line-projection geometry. A planar x-ray waveguide was used to focus coherent cylindrical waves onto a 7.2 {mu}m Kevlar fiber, which acts as a phase object for hard x rays. The phase was retrieved, by using a Fourier-based iterative phasing algorithm, consistent with measured diffraction data and known constraints in real space, with a submicrometer spatial resolution.

Authors:
; ; ; ; ;  [1];  [2];  [3]
  1. Istituto di Cristallografia-Consiglio Nazionale delle Ricerche (IC-CNR), via Amendola 122/O, I-70126 Bari (Italy)
  2. (IFN-CNR), via Cineto Romano 42, I-00156 Roma (Italy)
  3. (TS) (Italy)
Publication Date:
OSTI Identifier:
20971779
Resource Type:
Journal Article
Resource Relation:
Journal Name: Applied Physics Letters; Journal Volume: 90; Journal Issue: 4; Other Information: DOI: 10.1063/1.2431457; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGORITHMS; ARAMIDS; COHERENT RADIATION; FIBERS; FOURIER ANALYSIS; FRESNEL LENS; HARD X RADIATION; ITERATIVE METHODS; SPATIAL RESOLUTION; WAVEGUIDES; X-RAY DIFFRACTION

Citation Formats

De Caro, Liberato, Giannini, Cinzia, Cedola, Alessia, Pelliccia, Daniele, Lagomarsino, Stefano, Jark, Werner, Istituto di Fotonica e Nanotecnologie-Consiglio Nazionale delle Ricerche, and Sincrotrone Trieste, S.S. 14 km 163.5, I-34012 Basovizza. Phase retrieval in x-ray coherent Fresnel projection-geometry diffraction. United States: N. p., 2007. Web. doi:10.1063/1.2431457.
De Caro, Liberato, Giannini, Cinzia, Cedola, Alessia, Pelliccia, Daniele, Lagomarsino, Stefano, Jark, Werner, Istituto di Fotonica e Nanotecnologie-Consiglio Nazionale delle Ricerche, & Sincrotrone Trieste, S.S. 14 km 163.5, I-34012 Basovizza. Phase retrieval in x-ray coherent Fresnel projection-geometry diffraction. United States. doi:10.1063/1.2431457.
De Caro, Liberato, Giannini, Cinzia, Cedola, Alessia, Pelliccia, Daniele, Lagomarsino, Stefano, Jark, Werner, Istituto di Fotonica e Nanotecnologie-Consiglio Nazionale delle Ricerche, and Sincrotrone Trieste, S.S. 14 km 163.5, I-34012 Basovizza. Mon . "Phase retrieval in x-ray coherent Fresnel projection-geometry diffraction". United States. doi:10.1063/1.2431457.
@article{osti_20971779,
title = {Phase retrieval in x-ray coherent Fresnel projection-geometry diffraction},
author = {De Caro, Liberato and Giannini, Cinzia and Cedola, Alessia and Pelliccia, Daniele and Lagomarsino, Stefano and Jark, Werner and Istituto di Fotonica e Nanotecnologie-Consiglio Nazionale delle Ricerche and Sincrotrone Trieste, S.S. 14 km 163.5, I-34012 Basovizza},
abstractNote = {Coherent x-ray diffraction experiments were performed in Fresnel regime, within a line-projection geometry. A planar x-ray waveguide was used to focus coherent cylindrical waves onto a 7.2 {mu}m Kevlar fiber, which acts as a phase object for hard x rays. The phase was retrieved, by using a Fourier-based iterative phasing algorithm, consistent with measured diffraction data and known constraints in real space, with a submicrometer spatial resolution.},
doi = {10.1063/1.2431457},
journal = {Applied Physics Letters},
number = 4,
volume = 90,
place = {United States},
year = {Mon Jan 22 00:00:00 EST 2007},
month = {Mon Jan 22 00:00:00 EST 2007}
}
  • A general treatment of x-ray image formation by direct Fresnel diffraction with partially coherent hard x rays is presented. Contrast and resolution are the criteria used to specify the visibility of an image, which depend primarily on the spatial coherence of the illumination and the distance from object to the image, with chromatic coherence of lesser importance. The dependence of the quality of phase-contrast images on the parameters of in-line imaging configuration is described quantitatively. The influence of spatial coherence of hard x-ray source on the imaging quality is also discussed based on the partially coherent direct Fresnel diffraction phase-contrastmore » imaging theory. Experimental results are also presented for phase-contrast x-ray images with partially coherent hard x rays.« less
  • An extension of the far-field x-ray diffraction theory is presented by the introduction of a distorted object for calculation of coherent diffraction patterns in the near-field Fresnel regime. It embeds a Fresnel-zone construction on an original object to form a phase-chirped distorted object, which is then Fourier transformed to form a diffraction image. This approach extends the applicability of Fourier-based iterative phasing algorithms into the near-field holographic regime where phase retrieval had been difficult. Simulated numerical examples of this near-field phase retrieval approach indicate its potential applications in high-resolution structural investigations of noncrystalline materials.
  • No abstract prepared.
  • Differential x-ray phase contrast imaging using a grating interferometer was combined with a magnifying cone beam geometry using a conventional microfocus x-ray tube. This brings the advantages of a magnifying cone beam setup, namely, a high spatial resolution in the micron range and the possibility of using an efficient, low resolution detector, into differential phase contrast imaging. The authors present methodical investigations which show how the primary measurement signal depends on the magnification factor. As an illustration of the potential of this quantitative imaging technique, a high-resolution x-ray phase contrast tomography of an insect is presented.