Phase Retrieval with Application to Optical Imaging: A contemporary overview

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Neural holography with camera-in-the-loop training (2020, methodology): “The iterative Gerchberg–Saxton algorithm (GS) is the classic approach, but many others find ϕ via phase retrieval [Shechtman et al. 2015].”
Nonconvex Optimization Meets Low-Rank Matrix Factorization: An Overview (2018, background): “How can we reconstruct x ∈ R — or equivalently, M = x x — from this collection of quadratic equations about x ? This problem, often dubbed as phase retrieval, arises for example in X-ray crystallography, where one needs to recover a specimen based on intensities of the diffracted waves scattered by ”
Bispectrum Inversion with Application to Multireference Alignment (2017, background): “This problem received considerable attention in recent years, see for instance [48], [49], [50], [51], [52], [53], [54].”
Solving Systems of Random Quadratic Equations via Truncated Amplitude Flow (2016, background): “In many fields of physical sciences and engineer i g, the problem of recovering the phase from intensity/magnitude-only measurements is commonly r efer ed to asphase retrieval[7], [8], [9], [10], [11].”