Reconstruction of thin electromagnetic inclusions by a level-set method - EMG - Département Electromagnétisme Accéder directement au contenu
Article Dans Une Revue Inverse Problems Année : 2009

Reconstruction of thin electromagnetic inclusions by a level-set method

Résumé

In this contribution, we consider a technique of electromagnetic imaging (at a single, non-zero frequency) which uses the level-set evolution method for reconstructing a thin inclusion (possibly made of disconnected parts) with either dielectric or magnetic contrast with respect to the embedding homogeneous medium. Emphasis is on the proof of the concept, the scattering problem at hand being so far based on a two-dimensional scalar model. To do so, two level-set functions are employed; the first one describes location and shape, and the other one describes connectivity and length. Speeds of evolution of the level-set functions are calculated via the introduction of Fréchet derivatives of a least-square cost functional. Several numerical experiments on noiseless and noisy data as well illustrate how the proposed method behaves.
Fichier non déposé

Dates et versions

hal-00434051 , version 1 (20-11-2009)

Identifiants

  • HAL Id : hal-00434051 , version 1

Citer

Won-Kwang Park, Dominique Lesselier. Reconstruction of thin electromagnetic inclusions by a level-set method. Inverse Problems, 2009, 25 (8), pp.085010. ⟨hal-00434051⟩
28 Consultations
0 Téléchargements

Partager

Gmail Facebook X LinkedIn More