A DIRECT IMAGING METHOD FOR THE HALF-SPACE INVERSE SCATTERING PROBLEM WITH PHASELESS DATA

We propose a direct imaging method based on the reverse time migration method for finding extended obstacles with phaseless total field data in the half space. We prove that the imaging resolution of the method is essentially the same as the imaging results using the scattering data with full phase information when the obstacle is far away from the surface of the half space where the measurement is taken. Numerical experiments are included to illustrate the powerful imaging quality.