An improved ptychographical phase retrieval algorithm for diffractive imaging.

By A. Maiden, J. Rodenburg. Ultramicroscopy, 2009

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Subwavelength coherent imaging of periodic samples using a 13.5 nm tabletop high-harmonic light source (2017, methodology): “Reconstructed intensity images of the zone plate sample, obtained with the ePIE ptychography algorithm 34 with and without the novel MEP constraint, are displayed in Fig.”
Tabletop nanometer extreme ultraviolet imaging in an extended reflection mode using coherent Fresnel ptychography (2013, methodology): “However, we find that for ptychographic grids of 3 × 3 and larger with sufficient overlap between adjacent probe positions (60-70% area overlap [12]), the algorithm converges to a consistent result for the probe provided that the phase curvature of the starting guess differs by no more than 50% of t”
3D intensity and phase imaging from light field measurements in an LED array microscope (2015, methodology): “The caveat is that phase is required, which the Fourier ptychography algorithm [23,24] provides by performing translational diversity phase retrieval [43–46] in Fourier space.”
Computational illumination for high-speed in vitro Fourier ptychographic microscopy (2015, neutral): “Distinct from synthetic aperture, FPM does not measure phase directly at each angle, but instead uses nonlinear optimization algorithms [7, 15–17] similar to translational diversity [18, 19] and ptychography [20, 21].”