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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 25 — Dec. 6, 2010
  • pp: 26441–26449

Incorrect support and missing center tolerances of phasing algorithms

Xiaojing Huang, Johanna Nelson, Jan Steinbrener, Janos Kirz, Joshua J. Turner, and Chris Jacobsen  »View Author Affiliations

Optics Express, Vol. 18, Issue 25, pp. 26441-26449 (2010)

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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.

© 2010 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(110.4280) Imaging systems : Noise in imaging systems
(110.7440) Imaging systems : X-ray imaging
(110.3010) Imaging systems : Image reconstruction techniques

ToC Category:
Imaging Systems

Original Manuscript: October 22, 2010
Revised Manuscript: November 22, 2010
Manuscript Accepted: November 27, 2010
Published: December 1, 2010

Xiaojing Huang, Johanna Nelson, Jan Steinbrener, Janos Kirz, Joshua J. Turner, and Chris Jacobsen, "Incorrect support and missing center tolerances of phasing algorithms," Opt. Express 18, 26441-26449 (2010)

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