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@ARTICLE{Geloni:207659,
      author       = {Geloni, Gianluca and Kocharyan, Vitali and Saldin, Evgeny},
      title        = {{B}rightness of synchrotron radiation from undulators and
                      bending magnets},
      journal      = {Journal of synchrotron radiation},
      volume       = {22},
      number       = {2},
      issn         = {1600-5775},
      address      = {Chester},
      publisher    = {IUCr},
      reportid     = {PUBDB-2015-01418, DESY-14-129. arXiv: 1407.4591},
      pages        = {1-29},
      year         = {2015},
      abstract     = {The maximum of the Wigner distribution (WD) of synchrotron
                      radiation (SR) fields is considered as a possible definition
                      of SR source brightness. Such a figure of merit was
                      originally introduced in the SR community by Kim [(1986),
                      Nucl. Instrum. Methods Phys. Res. A, 246, 71-76]. The
                      brightness defined in this way is always positive and, in
                      the geometrical optics limit, can be interpreted as the
                      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 these asymptotic cases
                      the geometrical optics approach is still applicable, and the
                      brightness definition used here yields back once more to the
                      maximum photon flux density in phase space. In these
                      intermediate regimes a significant numerical disagreement is
                      found between exact calculations and the approximation for
                      undulator brightness currently used in the literature. The
                      WD formalism is extended to a satisfactory theory for the
                      brightness of a bending magnet. It is found that in the
                      intermediate regimes the usually accepted approximation for
                      bending magnet brightness turns out to be inconsistent even
                      parametrically.},
      cin          = {Eur.XFEL},
      ddc          = {540},
      cid          = {$I:(DE-H253)Eur_XFEL-20120731$},
      pnm          = {631 - Accelerator R $\&$ D (POF3-631) / 6G13 - XFEL
                      (POF3-622)},
      pid          = {G:(DE-HGF)POF3-631 / G:(DE-HGF)POF3-6G13},
      experiment   = {EXP:(DE-H253)XFEL(machine)-20150101},
      typ          = {PUB:(DE-HGF)29 / PUB:(DE-HGF)16},
      eprint       = {1407.4591},
      howpublished = {arXiv:1407.4591},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:1407.4591;\%\%$},
      UT           = {WOS:000350641100011},
      pubmed       = {pmid:25723931},
      doi          = {10.1107/S1600577514026071},
      url          = {https://bib-pubdb1.desy.de/record/207659},
}