Elsevier

Ultramicroscopy

Volume 66, Issues 3–4, December 1996, Pages 153-172
Ultramicroscopy

Phase-retrieval X-ray microscopy by Wigner-distribution deconvolution

https://doi.org/10.1016/S0304-3991(96)00084-8Get rights and content

Abstract

Microdiffraction data collected in a scanning transmission X-ray microscope (STXM) are used to obtain phase and amplitude images of objects, to the same resolution as STXM incoherent bright-field images (in this case, 45 nm). The images are retrieved by deconvolving an estimate of the Wigner distribution of the objective lens from the data set. A full characterisation of the phase and amplitude of the microscope transfer function is made from data sets collected from a known test object. This has allowed very accurate phase and amplitude maps of specimens to be retrieved. The effects of the coherence of the beam incident on the objective lens are studied, and maps of the mutual coherence function are obtained. The theory of Wigner-deconvolution phase-retrieval is reviewed with reference to X-ray microscopes.

References (29)

  • R.H.T. Bates et al.

    Ultramicroscopy

    (1989)
  • P.D. Nellist et al.

    Ultramicroscopy

    (1994)
  • B.C. McCallum et al.

    Ultramicroscopy

    (1992)
  • J.M. Rodenburg et al.

    Ultramicroscopy

    (1993)
  • H.N. Chapman

    Scanning Microscopy

    (1997)
  • H. Rarback et al.

    J. X-Ray Sci. Tech.

    (1990)
  • U. Bonse et al.

    Appl. Phys. Lett.

    (1965)
  • L.B. Da Silva et al.

    Appl. Opt.

    (1995)
  • A. Snigirev et al.

    Rev. Sci. Instrum.

    (1995)
  • J.M. Rodenburg et al.

    Phil. Trans. Roy. Soc. London A

    (1992)
  • P.D. Nellist et al.

    Nature

    (1995)
  • J. Kirz et al.

    Quart. Rev. Biophys.

    (1995)
  • G. Schmahl et al.
  • G. Schmahl et al.G. Schmahl et al.
  • Cited by (131)

    • Ultrafast radiographic imaging and tracking: An overview of instruments, methods, data, and applications

      2023, Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment
    • Structural studies of inorganic materials by electron crystallography

      2023, Comprehensive Inorganic Chemistry III, Third Edition
    • Parameter retrieval of small particles in dark-field Fourier ptychography and a rectangule in real-space ptychography

      2021, Ultramicroscopy
      Citation Excerpt :

      Ptychography [1–6] is a scanning coherent diffraction imaging method for reconstructing a complex valued object function from intensity measurements recorded in the Fraunhofer or Fresnel diffraction region.

    • Uniqueness of STFT phase retrieval for bandlimited functions

      2021, Applied and Computational Harmonic Analysis
    • Transport of intensity equation: a tutorial

      2020, Optics and Lasers in Engineering
    View all citing articles on Scopus
    1

    Present address: Lawrence Livermore National Laboratory, L-395, P.O.Box 808, Livermore, CA 94550, USA.

    View full text