Incorrect support and missing center tolerances of phasing algorithms

Xiaojing Huang*, Johanna Nelson, Jan Steinbrener, Janos Kirz, Joshua J. Turner, Chris Jacobsen

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


In x-ray diffraction microscopy, iterative algorithms retrieve reciprocal space phase information, and a real space image, from an object's coherent diffraction intensities through the use of a priori information such as a finite support constraint. In many experiments, the object's shape or support is not well known, and the diffraction pattern is incompletely measured. We describe here computer simulations to look at the effects of both of these possible errors when using several common reconstruction algorithms. Overly tight object supports prevent successful convergence; however, we show that this can often be recognized through pathological behavior of the phase retrieval transfer function. Dynamic range limitations often make it difficult to record the central speckles of the diffraction pattern. We show that this leads to increasing artifacts in the image when the number of missing central speckles exceeds about 10, and that the removal of unconstrained modes from the reconstructed image is helpful only when the number of missing central speckles is less than about 50. This simulation study helps in judging the reconstructability of experimentally recorded coherent diffraction patterns.

Original languageEnglish (US)
Pages (from-to)26441-26449
Number of pages9
JournalOptics Express
Issue number25
StatePublished - Dec 6 2010

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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