Simultaneous phase and amplitude extraction from a single defocused image of a homogeneous object

Authors

  • D. Paganin,

    Corresponding author
    1. Commonwealth Scientific and Industrial Research Organization, Manufacturing Science and Technology, PB 33 Clayton Sth, 3169 Victoria, Australia
    2. School of Physics, The University of Melbourne, 3010 Victoria, Australia
    Search for more papers by this author
  • S. C. Mayo,

    1. Commonwealth Scientific and Industrial Research Organization, Manufacturing Science and Technology, PB 33 Clayton Sth, 3169 Victoria, Australia
    Search for more papers by this author
  • T. E. Gureyev,

    1. Commonwealth Scientific and Industrial Research Organization, Manufacturing Science and Technology, PB 33 Clayton Sth, 3169 Victoria, Australia
    Search for more papers by this author
  • P. R. Miller,

    1. Commonwealth Scientific and Industrial Research Organization, Manufacturing Science and Technology, PB 33 Clayton Sth, 3169 Victoria, Australia
    Search for more papers by this author
  • S. W. Wilkins

    1. Commonwealth Scientific and Industrial Research Organization, Manufacturing Science and Technology, PB 33 Clayton Sth, 3169 Victoria, Australia
    Search for more papers by this author

Dr D. Paganin, Australia. Tel. + 61 39545 2916; fax: + 61 39544 1128; e-mail: David.Paganin@csiro.au.

Summary

We demonstrate simultaneous phase and amplitude extraction from a single defocused image of a homogeneous object. Subject to the assumptions explicitly stated in the derivation, the algorithm solves the twin-image problem of in-line holography and is capable of analysing data obtained using X-ray microscopy, electron microscopy, neutron microscopy or visible-light microscopy, especially as they relate to defocus and point projection methods. Our simple, robust, non-iterative and computationally efficient method is applied to data obtained using an X-ray phase contrast ultramicroscope.

Ancillary