Imaging small dielectric inclusions with polarization data - Archive ouverte HAL
Communication Dans Un Congrès Année : 2019

Imaging small dielectric inclusions with polarization data

Patrick Bardsley
  • Fonction : Auteur
  • PersonId : 1041117
Maxence Cassier

Résumé

We present a method for imaging small dielectric inclusions in a homogeneous medium from polarization measurements. The problem is a generalization of phase-less imaging, with data being the coherency matrix of the electric field at an array of receivers. The data are obtained by illuminating the scatterers with a single point source with known position and polarization. The imaging consists of two steps. First we partially recover "the ideal data", i.e. when the full scattered field is measured on the array for three independent source polarizations. Second, we use an electromagnetic version of Kirchhoff imaging. We show that for high frequencies, the images we obtain are close to the ones obtained with ideal data. Resolution estimates of the reconstructed quantities and numerical results to illustrate our method are presented. A time domain interpretation of this imaging problem is left to the talk.
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Dates et versions

hal-02400344 , version 1 (09-12-2019)

Identifiants

  • HAL Id : hal-02400344 , version 1

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Patrick Bardsley, Maxence Cassier, Fernando Guevara Vasquez. Imaging small dielectric inclusions with polarization data. 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Aug 2019, Vienne, Austria. ⟨hal-02400344⟩
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