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@INPROCEEDINGS{Kleefeld:1005121,
      author       = {Kleefeld, Andreas and Pieronek, Lukas},
      title        = {{I}nterior transmission eigenvalue trajectories},
      reportid     = {FZJ-2023-01315},
      year         = {2023},
      abstract     = {Properties of complex-valued eigenvalue trajectories for
                      the interior transmission problem parametrized by a constant
                      index of refraction are investigated. At first, the unit
                      disk is considered and several properties are derived such
                      as that the only intersection points with the real axis are
                      Dirichlet eigenvalues of the Laplacian. Then, for general
                      sufficiently smooth scatterers also the only trajectorial
                      limit points are shown to be Dirichlet eigenvalues of the
                      Laplacian as the refractive index tends to infinity.
                      Numerical results for several scatterers are presented which
                      even give rise to an underlying one-to-one correspondence.
                      Finally, a conjecture on the link between these two
                      eigenvalue families is given.},
      month         = {Feb},
      date          = {2023-02-27},
      organization  = {SIAM Conference on Computational
                       Science and Engineering, Amsterdam
                       (Netherlands), 27 Feb 2023 - 3 Mar
                       2023},
      subtyp        = {After Call},
      cin          = {JSC},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {5112 - Cross-Domain Algorithms, Tools, Methods Labs (ATMLs)
                      and Research Groups (POF4-511)},
      pid          = {G:(DE-HGF)POF4-5112},
      typ          = {PUB:(DE-HGF)6},
      url          = {https://juser.fz-juelich.de/record/1005121},
}