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@ARTICLE{Hughes:1042382,
      author       = {Hughes, Victor and Harris, Isaac and Kleefeld, Andreas},
      title        = {{T}wo direct sampling methods for an anisotropic scatterer
                      with a conductive boundary},
      journal      = {Applicable analysis},
      volume       = {N/A},
      issn         = {1026-7360},
      publisher    = {Taylor $\&$ Francis},
      reportid     = {FZJ-2025-02553},
      pages        = {1 - 31},
      year         = {2025},
      note         = {Online first since 13.5.2025},
      abstract     = {In this paper, we consider the inverse scattering problem
                      associated with an anisotropic medium with a conductive
                      boundary condition. We will assume that the corresponding
                      far–field pattern or Cauchy data is either known or
                      measured. The conductive boundary condition models a thin
                      coating around the boundary of the scatterer. We will
                      develop two direct sampling methods to solve the inverse
                      shape problem by numerically recovering the scatterer. To
                      this end, we study direct sampling methods by deriving that
                      the corresponding imaging functionals decay as the sampling
                      point moves away from the scatterer. These methods have been
                      applied to other inverse shape problems, but this is the
                      first time they will be applied to an anisotropic scatterer
                      with a conductive boundary condition. These methods allow
                      one to recover the scatterer by considering an
                      inner–product of the far–field data or the Cauchy data.
                      Here, we will assume that the Cauchy data is known on the
                      boundary of a region Ω that completely encloses the
                      scatterer D. We present numerical reconstructions in two
                      dimensions to validate our theoretical results for both
                      circular and non-circular scatterers.},
      cin          = {JSC},
      ddc          = {510},
      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)16},
      doi          = {10.1080/00036811.2025.2504034},
      url          = {https://juser.fz-juelich.de/record/1042382},
}