Electromagnetic inverse shape problem for coated obstacles - Inria - Institut national de recherche en sciences et technologies du numérique
Journal Articles Advances in Computational Mathematics Year : 2014

Electromagnetic inverse shape problem for coated obstacles

Nicolas Chaulet
  • Function : Author
  • PersonId : 881796
Houssem Haddar

Abstract

We address the inverse problem of retrieving the shape of an obstacle with impedance in the form of a surface wave operator using the knowledge of electromagnetic scattering amplitude at a fixed frequency. We prove unique reconstructions from infinitely many measures. We then provide a characterization of the scattering amplitude derivative with respect to the obstacle shape. This derivative includes the case of shape dependent impedance parameters. We then employ a gradient-descent algorithm with H 1 boundary regularisation of the descent direction to numerically solve the inverse problem. The procedure is validated for three dimensional geometries using synthetic data.
Fichier principal
Vignette du fichier
ShapeGIBC.pdf (16.5 Mo) Télécharger le fichier
Origin Files produced by the author(s)
Loading...

Dates and versions

hal-01110003 , version 1 (27-01-2015)

Identifiers

  • HAL Id : hal-01110003 , version 1

Cite

Nicolas Chaulet, Houssem Haddar. Electromagnetic inverse shape problem for coated obstacles. Advances in Computational Mathematics, 2014, pp.21. ⟨hal-01110003⟩
288 View
257 Download

Share

More