Preprint/Internal Report DESY-2014-03056

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Brightness of Synchrotron radiation from Undulators and Bending Magnets

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2014

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Report No.: DESY-14-129; arXiv: 1407.4591

Abstract: We consider the maximum of the Wigner distribution (WD) of synchrotron radiation (SR) fields as a possible definition of SR source brightness. Such figure of merit was originally introduced in the SR community by Kim. The brightness defined in this way is always positive and, in the geometrical optics limit, can be interpreted as maximum density of photon flux in phase space. For undulator and bending magnet radiation from a single electron, the WD function can be explicitly calculated. In the case of an electron beam with a finite emittance the brightness is given by the maximum of the convolution of a single electron WD function and the probability distribution of the electrons in phase space. In the particular case when both electron beam size and electron beam divergence dominate over the diffraction size and the diffraction angle, one can use a geometrical optics approach. However, there are intermediate regimes when only the electron beam size or the electron beam divergence dominate. In this asymptotic cases the geometrical optics approach is still applicable, and the brightness definition used here yields back once more the maximum photon flux density in phase space. In these intermediate regimes we find a significant numerical disagreement between exact calculations and the approximation for undulator brightness currently used in literature. We extend the WD formalism to a satisfactory theory for the brightness of a bending magnet. We find that in the intermediate regimes the usually accepted approximation for bending magnet brightness turns out to be inconsistent even parametrically.


Note: 72 pages plus cover, 4 figures

Contributing Institute(s):
  1. European XFEL (Eur.XFEL)
Research Program(s):
  1. Facility (machine) XFEL (POF2-XFEL-20130405) (POF2-XFEL-20130405)
Experiment(s):
  1. Facility (machine) XFEL

Appears in the scientific report 2014
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Brightness of synchrotron radiation from undulators and bending magnets
Journal of synchrotron radiation 22(2), 1-29 () [10.1107/S1600577514026071]  GO OpenAccess  Download fulltext Files  Download fulltextFulltext Download fulltextFulltext by arXiv.org Download fulltextFulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS


 Record created 2014-07-28, last modified 2021-11-10