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@ARTICLE{Lentzen:201762,
      author       = {Lentzen, Markus},
      title        = {{N}o surprise in the first {B}orn approximation for
                      electron scattering},
      journal      = {Ultramicroscopy},
      volume       = {136},
      issn         = {0304-3991},
      address      = {Amsterdam},
      publisher    = {Elsevier Science},
      reportid     = {FZJ-2015-04056},
      pages        = {201 - 210},
      year         = {2014},
      abstract     = {In a recent article it is argued that the far-field
                      expansion of electron scattering, a pillar of electron
                      diffraction theory, is wrong (Treacy and Van Dyck, 2012
                      [1]). It is further argued that in the first Born
                      approximation of electron scattering the intensity of the
                      electron wave is not conserved to first order in the
                      scattering potential. Thus a “mystery of the missing
                      phase” is investigated, and the supposed flaw in
                      scattering theory is seeked to be resolved by postulating a
                      standing spherical electron wave (Treacy and Van Dyck, 2012
                      [1]). In this work we show, however, that these theses are
                      wrong. A review of the essential parts of scattering theory
                      with careful checks of the underlying assumptions and
                      limitations for high-energy electron scattering yields: (1)
                      the traditional form of the far-field expansion, comprising
                      a propagating spherical wave, is correct; (2) there is no
                      room for a missing phase; (3) in the first Born
                      approximation the intensity of the scattered wave is
                      conserved to first order in the scattering potential. The
                      various features of high-energy electron scattering are
                      illustrated by wave-mechanical calculations for an explicit
                      target model, a Gaussian phase object, and for a Si atom,
                      considering the geometric conditions in high-resolution
                      transmission electron microscopy.},
      cin          = {PGI-5},
      ddc          = {570},
      cid          = {I:(DE-Juel1)PGI-5-20110106},
      pnm          = {42G - Peter Grünberg-Centre (PG-C) (POF2-42G41)},
      pid          = {G:(DE-HGF)POF2-42G41},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000327884700026},
      doi          = {10.1016/j.ultramic.2013.09.007},
      url          = {https://juser.fz-juelich.de/record/201762},
}