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In diffraction imaging, one is tasked with reconstructing a signal from itspower spectrum. To resolve the ambiguity in this inverse problem, one mightinvoke prior knowledge about the signal, but phase retrieval algorithms in thisvein have found limited success. One alternative is to create redundancy in themeasurement process by illuminating the signal multiple times, distorting thesignal each time with a different mask. Despite several recent advances inphase retrieval, the community has yet to construct an ensemble of masks whichuniquely determines all signals and admits an efficient reconstructionalgorithm. In this paper, we leverage the recently proposed polarization methodto construct such an ensemble. We also present numerical simulations toillustrate the stability of the polarization method in this setting. Incomparison to a state-of-the-art phase retrieval algorithm known as PhaseLift,we find that polarization is much faster with comparable stability.

Phase retrieval from power spectra of masked signals