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@ARTICLE{Slim:828641,
      author       = {Slim, J. and Rathmann, F. and Nass, A. and Soltner, H. and
                      Gebel, R. and Pretz, J. and Heberling, D.},
      title        = {{P}olynomial {C}haos {E}xpansion method as a tool to
                      evaluate and quantify field homogeneities of a novel
                      waveguide {RF} {W}ien {F}ilter},
      journal      = {Nuclear instruments $\&$ methods in physics research / A},
      volume       = {859},
      issn         = {0168-9002},
      address      = {Amsterdam},
      publisher    = {North-Holland Publ. Co.},
      reportid     = {FZJ-2017-02539},
      pages        = {52–62},
      year         = {2017},
      abstract     = {For the measurement of the electric dipole moment of
                      protons and deuterons, a novel waveguide RF Wien filter has
                      been designed and will soon be integrated at the COoler
                      SYnchrotron at Jülich. The device operates at the harmonic
                      frequencies of the spin motion. It is based on a waveguide
                      structure that is capable of fulfilling the Wien filter
                      condition View the MathML source(E→⊥B→)by design. The
                      full-wave calculations demonstrated that the waveguide RF
                      Wien filter is able to generate high-quality RF electric and
                      magnetic fields. In reality, mechanical tolerances and
                      misalignments decrease the simulated field quality, and it
                      is therefore important to consider them in the simulations.
                      In particular, for the electric dipole moment measurement,
                      it is important to quantify the field errors systematically.
                      Since Monte-Carlo simulations are computationally very
                      expensive, we discuss here an efficient surrogate modeling
                      scheme based on the Polynomial Chaos Expansion method to
                      compute the field quality in the presence of tolerances and
                      misalignments and subsequently to perform the sensitivity
                      analysis at zero additional computational cost.},
      cin          = {IKP-2 / ZEA-1 / IKP-4},
      ddc          = {530},
      cid          = {I:(DE-Juel1)IKP-2-20111104 / I:(DE-Juel1)ZEA-1-20090406 /
                      I:(DE-Juel1)IKP-4-20111104},
      pnm          = {612 - Cosmic Matter in the Laboratory (POF3-612) / 631 -
                      Accelerator R $\&$ D (POF3-631) / srEDM - Search for
                      electric dipole moments using storage rings (694340)},
      pid          = {G:(DE-HGF)POF3-612 / G:(DE-HGF)POF3-631 /
                      G:(EU-Grant)694340},
      experiment   = {EXP:(DE-Juel1)JEDI-20170712},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000402464700009},
      doi          = {10.1016/j.nima.2017.03.040},
      url          = {https://juser.fz-juelich.de/record/828641},
}