English

X-ray Coherent diffraction interpreted through the fractional Fourier transform

Other Condensed Matter 2025-01-08 v2 Optics

Abstract

Diffraction of coherent x-ray beams is treated through the Fractionnal 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 and a generalized uncertainty principle is introduced.

Keywords

Cite

@article{arxiv.1102.2108,
  title  = {X-ray Coherent diffraction interpreted through the fractional Fourier transform},
  author = {David Le Bolloc'h and Jean-Francois Sadoc},
  journal= {arXiv preprint arXiv:1102.2108},
  year   = {2025}
}

Comments

7 pages, 8 figures

R2 v1 2026-06-21T17:24:24.735Z