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@ARTICLE{Ayala:1029538,
      author       = {Ayala, Rafael Ceja and Harris, Isaac and Kleefeld, Andreas},
      title        = {{I}nverse parameter and shape problem for an isotropic
                      scatterer with two conductivity coefficients},
      journal      = {Analysis and Mathematical Physics},
      volume       = {14},
      number       = {4},
      issn         = {1664-2368},
      address      = {Cham (ZG)},
      publisher    = {Springer International Publishing AG},
      reportid     = {FZJ-2024-05150},
      pages        = {90},
      year         = {2024},
      abstract     = {In this paper, we consider the direct and inverse problem
                      for isotropic scatterers with two conductive boundary
                      conditions. First, we show the uniqueness for recovering the
                      coefficients from the known far-field data at a fixed
                      incident direction for multiple frequencies. Then, we
                      address the inverse shape problem for recovering the
                      scatterer for the measured far-field data at a fixed
                      frequency. Furthermore, we examine the direct sampling
                      method for recovering the scatterer by studying the
                      factorization for the far-field operator. The direct
                      sampling method is stable with respect to noisy data and
                      valid in two dimensions for partial aperture data. The
                      theoretical results are verified with numerical examples to
                      analyze the performance by the direct sampling method.},
      cin          = {JSC},
      ddc          = {530},
      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},
      UT           = {WOS:001272364700001},
      doi          = {10.1007/s13324-024-00950-x},
      url          = {https://juser.fz-juelich.de/record/1029538},
}