The European Physical Journal B

, Volume 81, Issue 4, pp 481–487 | Cite as

X-ray coherent diffraction interpreted through the fractional Fourier transform

  • D. Le Bolloc’h
  • J. F. Sadoc
Computational Methods Regular Article


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.


Fourier Transform Gaussian Beam Spherical Surface Dark Spot Fresnel Zone 
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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

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

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