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@TECHREPORT{Dohlus:209416,
      author       = {Dohlus, M. and Henning, Ch.},
      title        = {{P}eriodic {P}oisson {S}olver for {P}article {T}racking},
      number       = {DESY-15-071},
      reportid     = {PUBDB-2015-02072, DESY-15-071. arXiv:1505.01330},
      series       = {Red Report},
      pages        = {33 p.},
      year         = {2015},
      note         = {OA},
      abstract     = {A method is described to solve the Poisson problem for a
                      three dimensional source distribution that is periodic into
                      one direction. Perpendicular to the direction of periodicity
                      a free space (or open) boundary is realized. In beam
                      physics, this approach allows to calculate the space charge
                      field of a continualized charged particle distribution with
                      periodic pattern. The method is based on a particle mesh
                      approach with equidistant grid and fast convolution with a
                      Greens function. The periodic approach uses only one period
                      of the source distribution, but a periodic extension of the
                      Greens function. The approach is numerically efficient and
                      allows the investigation of periodic- and pseudo-periodic
                      structures with period lengths that are small compared to
                      the source dimensions, for instance of laser modulated beams
                      or of the evolution of micro bunch structures. Applications
                      for laser modulated beams are given.},
      cin          = {MPY},
      cid          = {I:(DE-H253)MPY-20120731},
      pnm          = {631 - Accelerator R $\&$ D (POF3-631)},
      pid          = {G:(DE-HGF)POF3-631},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)3 / PUB:(DE-HGF)15},
      eprint       = {1505.01330},
      howpublished = {arXiv:1505.01330},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:1505.01330;\%\%$},
      url          = {https://bib-pubdb1.desy.de/record/209416},
}