Level Set Method for Reconstruction of Thin Electromagnetic Inclusions

  • Won-Kwang Park
  • Dominique Lesselier
Part of the Springer Proceedings in Physics book series (SPPHY, volume 135)


In this paper, we consider the recently developed level set evolution technique in order to reconstruct two-dimensional thin electromagnetic inclusions with dielectric or magnetic contrast with respect to the embedding homogeneous medium. For a successful reconstruction, two level set functions are employed; the first one describes the location and shape, and the other one the connectivity and length. Speeds of evolution of level set functions are calculated via Fréchet derivatives by means of an adjoint technique. Several numerical experiments illustrate how the proposed method behaves.


Initial Guess Descent Direction Adjoint Problem Good Initial Guess Successful Reconstruction 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Won-Kwang Park
    • 1
  • Dominique Lesselier
    • 1
  1. 1.Département de Recherche en Electromagnètisme, Laboratoire des Signaux et SystèmesCNRS-Supélec-Univ. Paris Sud 11Gif-sur-Yvette cedexFrance

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