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@ARTICLE{Shapoval:619260,
      author       = {Shapoval, Olga and Zoni, Edoardo and Lehe, Remi and
                      Thevenet, Maxence and Vay, Jean-Luc},
      title        = {{P}seudospectral particle-in-cell formulation with
                      arbitrary charge and current-density time dependencies for
                      the modeling of relativistic plasmas},
      reportid     = {PUBDB-2024-07509, arXiv:2312.16297},
      year         = {2024},
      abstract     = {This paper introduces a formulation of the particle-in-cell
                      (PIC) method for the modeling of relativistic plasmas, that
                      leverages the ability of the pseudospectral analytical
                      time-domain solver (PSATD) to handle arbitrary time
                      dependencies of the charge and current densities during one
                      PIC cycle (applied to second-order polynomial dependencies
                      here). The formulation is applied to a modified set of
                      Maxwell's equations that was proposed earlier in the context
                      of divergence cleaning, and to recently proposed extensions
                      of the PSATD-PIC algorithm. Detailed analysis and testings
                      revealed that, under some condition, the formulation can
                      expand the range of numerical parameters under which PIC
                      simulations are stable and accurate when modeling
                      relativistic plasmas such as, e.g., plasma-based particle
                      accelerators.},
      cin          = {MPA1},
      ddc          = {530},
      cid          = {I:(DE-H253)MPA1-20210408},
      pnm          = {621 - Accelerator Research and Development (POF4-621)},
      pid          = {G:(DE-HGF)POF4-621},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)25},
      eprint       = {2312.16297},
      howpublished = {arXiv:2312.16297},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2312.16297;\%\%$},
      doi          = {10.3204/PUBDB-2024-07509},
      url          = {https://bib-pubdb1.desy.de/record/619260},
}