A Direct Imaging Method for Electromagnetic Scattering Data without Phase Information

Abstract

In this paper we propose a direct imaging method based on reverse time migration for reconstructing extended obstacles by phaseless electromagnetic scattering data. We prove that the imaging resolution of the method is essentially the same as the imaging results using the scattering data with the full phase information. This implies the imaginary part of the cross-correlation imaging functional always peaks on the boundary of the obstacle. Numerical experiments are included to illustrate the powerful imaging quality.