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@INPROCEEDINGS{Kleefeld:1014478,
      author       = {Kleefeld, Andreas},
      collaboration = {Pieronek, Lukas},
      title        = {{I}nterior transmission eigenvalue trajectories},
      school       = {University of Göttingen},
      reportid     = {FZJ-2023-03328},
      year         = {2023},
      abstract     = {Complex-valued eigenvalue trajectories parametrized by a
                      constant index of refractionare investigated for the
                      interior transmission problem. Several properties are
                      derived forthe unit disk such as that the only intersection
                      points with the real axis are Dirichleteigenvalues of the
                      Laplacian. For general sufficiently smooth scatterers in two
                      dimensionsthe only trajectorial limit points are shown to be
                      Dirichlet eigenvalues of the Laplacian asthe refractive
                      index tends to infinity. Additionally, numerical results for
                      several scatterersare presented which give rise to an
                      underlying one-to-one correspondence between thesetwo
                      eigenvalue families which is finally stated as a
                      conjecture.},
      month         = {Sep},
      date          = {2023-09-04},
      organization  = {Applied Inverse Problems, Göttingen
                       (Germany), 4 Sep 2023 - 8 Sep 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},
      doi          = {10.34734/FZJ-2023-03328},
      url          = {https://juser.fz-juelich.de/record/1014478},
}