Reciprocal-space up-sampling from real-space oversampling in x-ray ptychography

D. J. Batey, T. B. Edo, C. Rau, U. Wagner, Z. D. Pešić, T. A. Waigh, and J. M. Rodenburg
Phys. Rev. A 89, 043812 – Published 9 April 2014

Abstract

We retrieve x-ray phase images from ptychographical data which, according to the conventional coherent diffractive imaging (CDI) criterion, have been grossly undersampled. Ptychographical data are intrinsically oversampled in real space, as the illumination function of subsequent exposures overlap. By exploiting the real-space redundancy in ptychography, we are able to recover the conventional CDI reciprocal sampling, despite an increase in the solid angle of the detector pixels. As a result the current experimental geometrical constraints placed upon probe size, object to detector distance, and pixel size are all relaxed.

  • Figure
  • Figure
  • Figure
  • Figure
  • Received 6 August 2013

DOI:https://doi.org/10.1103/PhysRevA.89.043812

©2014 American Physical Society

Authors & Affiliations

D. J. Batey1,*, T. B. Edo1, C. Rau2, U. Wagner2, Z. D. Pešić2, T. A. Waigh3, and J. M. Rodenburg1,4

  • 1Department of Electronic and Electrical Engineering, University of Sheffield, S1 3JD, United Kingdom
  • 2Diamond Light Source Ltd., Harwell Science and Innovation Campus, Didcot, Oxfordshire OX11 0DE, United Kingdom
  • 3Photon Science Institute, University of Manchester, Oxford Road, Manchester, M13 9PL, United Kingdom
  • 4Research Complex at Harwell, Harwell Oxford, Didcot, Oxfordshire, OX11 0DE, United Kingdom

  • *elp10db@shef.ac.uk

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 89, Iss. 4 — April 2014

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review A

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×