Recovering the phase information needed to reconstruct a signal from intensity or transform-magnitude measurements. Constraints on the signal or additional measurements are needed because magnitudes alone generally admit multiple solutions. Frequency-resolved optical gating supplies a nonlinear family of delayed spectra rather than only a single Fourier magnitude.
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Phase retrieval is a mathematical and computational technique used to recover the phase information of a signal or wave from intensity measurements. This is particularly relevant in fields such as optics, imaging, and signal processing, where the amplitude (intensity) of a signal can often be measured directly, but the phase information is lost or difficult to obtain.