In diffraction imaging, one is tasked with reconstructing a signal from its
power spectrum. To resolve the ambiguity in this inverse problem, one might
invoke prior knowledge about the signal, but phase retrieval algorithms in this
vein have found limited success. One alternative is to create redundancy in the
measurement process by illuminating the signal multiple times, distorting the
signal each time with a different mask. Despite several recent advances in
phase retrieval, the community has yet to construct an ensemble of masks which
uniquely determines all signals and admits an efficient reconstruction
algorithm. In this paper, we leverage the recently proposed polarization method
to construct such an ensemble. We also present numerical simulations to
illustrate the stability of the polarization method in this setting. In
comparison to a state-of-the-art phase retrieval algorithm known as PhaseLift,
we find that polarization is much faster with comparable stability.Comment: 18 pages, 3 figure
