X-ray coherent diffraction interpreted through the fractional Fourier transform

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 prin...

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Bibliographic Details
Published in:The European physical journal. B, Condensed matter physics Condensed matter physics, 2011-06, Vol.81 (4), p.481-487
Main Authors: Le Bolloc’h, D., Sadoc, J. F.
Format: Article
Language:English
Subjects:
Complex Systems
Computational Methods
Condensed Matter Physics
Condensed matter: structure, mechanical and thermal properties
Exact sciences and technology
Fluid- and Aerodynamics
Physics
Physics and Astronomy
Single-crystal and powder diffraction
Solid State Physics
Structure of solids and liquids
crystallography
X-ray diffraction and scattering
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Summary: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.
ISSN:1434-6028
1434-6036
DOI:10.1140/epjb/e2011-20123-1