Imaging small dielectric inclusions with polarization data
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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