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Ultramicroscopy. 2005 May;103(2):153-64. Epub 2004 Dec 23.

Error tolerance of an iterative phase retrieval algorithm for moveable illumination microscopy.

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  • 1Department of Electronic and Electrical Engineering, The University of Sheffield, Sheffield S1 3JD, UK.


This paper examines the behaviour of the new Ptychographical Iterative Engine (PIE) algorithm when part of the initial information it requires is inaccurately known. This could be the parameters describing the illuminating wavefunction, the precise location of the specimen relative to the illuminating wavefunction, or other information that is assumed about the physical system. The tolerance of the algorithm for unavoidable problems such as noise and source incoherence is also investigated, leading to the conclusion that this approach to phase retrieval is very robust. It can not only tolerate errors in the assumed parameters, but can often be used as a method of characterising the parameters more accurately.

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