Level-set method for reconstruction of thin electromagnetic inclusions
Résumé
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.