Coherence and sampling requirements for diffractive imaging

Research output: Contribution to journalArticlepeer-review

83 Scopus citations

Abstract

Coherent Diffractive Imaging (CDI) allows images to be reconstructed from diffraction patterns by solving the non-crystallographic phase problem for isolated nanostructures. We show that the Shannon sampling of diffraction intensities needed in CDI requires a coherence width about twice the lateral dimensions of the object, and that the linear number of detector pixels fixes the energy spread needed in the beam. The Shannon sampling, defined by the transform of the periodically repeated autocorrelation of the object, is related to Bragg scattering from an equivalent crystal, and shown to be consistent with the sampling of Young's fringes established by scattering from extreme points in the object. The results are relevant to the design of diffraction cameras for CDI and plans for femotosecond X-ray diffraction from individual proteins.

Original languageEnglish (US)
Pages (from-to)149-152
Number of pages4
JournalUltramicroscopy
Volume101
Issue number2-4
DOIs
StatePublished - Nov 1 2004

Keywords

  • 42.30.Rz
  • 42.30.Wb
  • 61.10.Nz
  • 68.37.Yz
  • Coherence
  • Diffraction imaging
  • Phase problems
  • Sampling theorem

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Instrumentation

Fingerprint Dive into the research topics of 'Coherence and sampling requirements for diffractive imaging'. Together they form a unique fingerprint.

Cite this