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X-ray coherent diffraction interpreted through the fractional Fourier transform

  • Computational Methods
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Abstract

Diffraction of coherent X-ray beams is treated through the fractional Fourier transform. The transformation allow us to deal with coherent diffraction experiments from the Fresnel to the Fraunhofer regime. The analogy with the Huygens-Fresnel theory is first discussed, a generalized uncertainty principle is introduced and the successive diffraction of two objects is interpreted through the fractional Fourier transform.

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Authors and Affiliations

  1. Laboratoire de Physique des Solides, Bât. 510, Univ. Paris-Sud, CNRS, UMR 8502, 91405, Orsay Cedex, France

    D. Le Bolloc’h & J. F. Sadoc

Authors
  1. D. Le Bolloc’h
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  2. J. F. Sadoc
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Correspondence to D. Le Bolloc’h.

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Le Bolloc’h, D., Sadoc, J.F. X-ray coherent diffraction interpreted through the fractional Fourier transform. Eur. Phys. J. B 81, 481–487 (2011). https://doi.org/10.1140/epjb/e2011-20123-1

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  • DOI: https://doi.org/10.1140/epjb/e2011-20123-1

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