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Abstract
The ptychographical iterative engine (or PIE) is a recently developed phase retrieval
algorithm that employs a series of diffraction patterns recorded as a known illumination
function is translated to a set of overlapping positions relative to a target sample.
The technique has been demonstrated successfully at optical and X-ray wavelengths
and has been shown to be robust to detector noise and to converge considerably faster
than support-based phase retrieval methods. In this paper, the PIE is extended so
that the requirement for an accurate model of the illumination function is removed.