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@ARTICLE{Ntokas:1017335,
      author       = {Ntokas, Konstantin and Ungermann, Jörn and Kaufmann,
                      Martin},
      title        = {{N}orton-{B}eer apodization and its {F}ourier transform},
      journal      = {Journal of the Optical Society of America / A},
      volume       = {40},
      number       = {11},
      issn         = {1084-7529},
      address      = {Washington, DC},
      publisher    = {Soc.},
      reportid     = {FZJ-2023-04049},
      pages        = {2026 -},
      year         = {2023},
      abstract     = {In Fourier transform spectroscopy, apodization is used to
                      alter the instrument line shape, reducing the prominence of
                      its side lobes. The Fourier transform of the apodization
                      window is of great interest as it allows us to compute or
                      optimize the line shape. In the last decades, many
                      apodization windows have been proposed, from which the group
                      of Norton-Beer apodization functions gained large popularity
                      in Fourier transform spectroscopy. While for a small set of
                      specific Norton-Beer apodization functions analytical
                      solutions of the Fourier transform have been presented in
                      the past, we present here a general method, which allows us
                      to calculate the analytical solution of the Fourier
                      transform for any Norton-Beer apodization function. This
                      paper also documents the free Python library called
                      $norton_beer.$ It contains functions to generate apodization
                      windows and their Fourier transform following the presented
                      analytical solution. Furthermore, new Norton-Beer
                      apodization functions can be generated for any desired
                      spectral resolution.},
      cin          = {IEK-7},
      ddc          = {610},
      cid          = {I:(DE-Juel1)IEK-7-20101013},
      pnm          = {2112 - Climate Feedbacks (POF4-211)},
      pid          = {G:(DE-HGF)POF4-2112},
      typ          = {PUB:(DE-HGF)16},
      pubmed       = {38038068},
      UT           = {WOS:001104515100001},
      doi          = {10.1364/JOSAA.501593},
      url          = {https://juser.fz-juelich.de/record/1017335},
}