Shape-gradient optimization applied to the reconstruction of 2-D and 3-D metallic objects

R. Ferraye (1) , P. Dubois (2) , Iannis Aliferis (1) , Jean-Yves Dauvignac (1) , Christian Pichot (1) , C. Dedeban (2) , Jean-Paul Zolesio (3)

1 LEAT - Laboratoire d'Electronique, Antennes et Télécommunications
2 Orange Labs [La Turbie]
3 OPALE - Optimization and control, numerical algorithms and integration of complex multidiscipline systems governed by PDE

A shape-gradient optimization based on contour deformations by means of Level Set method is used for reconstructing 2-D and 3-D perfectly conducting objects electromagnetic imaging. A frequency hopping technique is applied during the inverse scattering procedure for first locating the objects and reconstruct them roughly, then with higher frequencies to allow finer details to be retrieved. The numerical results clearly show that the inversion algorithm yields to accurate reconstruction of one or several objects even with noise-contaminated data and limited coverage of the incident fields.

Mots clés: 2D metallic objects reconstruction; shape-gradient optimization; 3D metallic objects reconstruction; contour deformations; perfectly conducting objects electromagnetic imaging; level set method; inverse scattering; Frequency; frequency hopping technique; Inverse problems; electromagnetic wave scattering; Cost function; Level set; Image reconstruction; Electromagnetic scattering; Optimization methods; Iterative algorithms; Telecommunications; Goniometers

Domaines: Electromagnétisme

R. Ferraye, P. Dubois, Iannis Aliferis, Jean-Yves Dauvignac, Christian Pichot, et al.. Shape-gradient optimization applied to the reconstruction of 2-D and 3-D metallic objects. IEEE Antennas and Propagation Society International Symposium (AP-S 2009), Jun 2009, Charleston, SC, United States. pp.1-4, ⟨10.1109/APS.2009.5171685⟩. ⟨hal-00394225⟩