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@ARTICLE{Adlmann:861639,
      author       = {Adlmann, Franz A and Herbel, Jörg and Korolkovas, Airidas
                      and Bliersbach, Andreas and Toperverg, Boris and Van Herck,
                      Walter and Pálsson, Gunnar K and Kitchen, Brian and Wolff,
                      Max},
      title        = {{D}epth resolved grazing incidence neutron scattering
                      experiments from semi-infinite interfaces: a statistical
                      analysis of the scattering contributions},
      journal      = {Journal of physics / Condensed matter},
      volume       = {30},
      number       = {16},
      issn         = {0953-8984},
      address      = {Bristol},
      publisher    = {IOP Publ.},
      reportid     = {FZJ-2019-02085},
      pages        = {165901 -},
      year         = {2018},
      abstract     = {Grazing incidence neutron scattering experiments offer
                      surface sensitivity by reflecting from an interface at
                      momentum transfers close to total external reflection. Under
                      these conditions the penetration depth is strongly
                      non-linear and may change by many orders of magnitude. This
                      fact imposes severe challenges for depth resolved
                      experiments, since the brilliance of neutron beams is
                      relatively low in comparison to e.g. synchrotron radiation.
                      In this article we use probability density functions to
                      calculate the contribution of scattering at different
                      distances from an interface to the intensities registered on
                      the detector. Our method has the particular advantage that
                      the depth sensitivity is directly extracted from the
                      scattering pattern itself. Hence for perfectly known samples
                      exact resolution functions can be calculated and visa versa.
                      We show that any tails in the resolution function, e.g.
                      Gaussian shaped, hinders depth resolved experiments. More
                      importantly we provide means for a descriptive statistical
                      analysis of detector images with respect to the scattering
                      contributions and show that even for perfect resolution near
                      surface scattering is hardly accessible.},
      cin          = {JCNS-FRM-II / Neutronenstreuung ; JCNS-1 / JCNS-2},
      ddc          = {530},
      cid          = {I:(DE-Juel1)JCNS-FRM-II-20110218 /
                      I:(DE-Juel1)JCNS-1-20110106 / I:(DE-Juel1)JCNS-2-20110106},
      pnm          = {6G15 - FRM II / MLZ (POF3-6G15) / 6G4 - Jülich Centre for
                      Neutron Research (JCNS) (POF3-623)},
      pid          = {G:(DE-HGF)POF3-6G15 / G:(DE-HGF)POF3-6G4},
      experiment   = {EXP:(DE-MLZ)SCG-20150203},
      typ          = {PUB:(DE-HGF)16},
      pubmed       = {pmid:29521272},
      UT           = {WOS:000428466400001},
      doi          = {10.1088/1361-648X/aab573},
      url          = {https://juser.fz-juelich.de/record/861639},
}