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@ARTICLE{Krasauskas:862014,
      author       = {Krasauskas, Lukas and Ungermann, Jörn and Ensmann, Stefan
                      and Krisch, Isabell and Kretschmer, Erik and Preusse, Peter
                      and Riese, Martin},
      title        = {3-{D} tomographic limb sounder retrieval techniques:
                      irregular grids and {L}aplacian regularisation},
      journal      = {Atmospheric measurement techniques},
      volume       = {12},
      number       = {2},
      issn         = {1867-8548},
      address      = {Katlenburg-Lindau},
      publisher    = {Copernicus},
      reportid     = {FZJ-2019-02388},
      pages        = {853 - 872},
      year         = {2019},
      abstract     = {Multiple limb sounder measurements of the same atmospheric
                      region taken from different directions can be combined in a
                      3-D tomographic retrieval. Mathematically, this is a
                      computationally expensive inverse modelling problem. It
                      typically requires an introduction of some general knowledge
                      of the atmosphere (regularisation) due to its
                      underdetermined nature.This paper introduces a consistent,
                      physically motivated (no ad-hoc parameters) variant of the
                      Tikhonov regularisation scheme based on spatial derivatives
                      of the first-order and Laplacian. As shown by a case study
                      with synthetic data, this scheme, combined with irregular
                      grid retrieval methods employing Delaunay triangulation,
                      improves both upon the quality and the computational cost of
                      3-D tomography. It also eliminates grid dependence and the
                      need to tune parameters for each use case. The few physical
                      parameters required can be derived from in situ measurements
                      and model data. Tests show that a $82 \%$ reduction in the
                      number of grid points and $50 \%$ reduction in total
                      computation time, compared to previous methods, could be
                      achieved without compromising results. An efficient Monte
                      Carlo technique was also adopted for accuracy estimation of
                      the new retrievals.},
      cin          = {IEK-7 / JARA-HPC},
      ddc          = {550},
      cid          = {I:(DE-Juel1)IEK-7-20101013 / $I:(DE-82)080012_20140620$},
      pnm          = {244 - Composition and dynamics of the upper troposphere and
                      middle atmosphere (POF3-244) / Tomographic retrievals of
                      temperature and trace gasses from GLORIA measurements
                      $(jiek72_20160501)$},
      pid          = {G:(DE-HGF)POF3-244 / $G:(DE-Juel1)jiek72_20160501$},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000458103900002},
      doi          = {10.5194/amt-12-853-2019},
      url          = {https://juser.fz-juelich.de/record/862014},
}