Combined analyser-based and propagation-based phase-contrast imaging of weak objects

A new theoretical method combining analyser-based and propagation-based hard X-ray phase-contrast imaging is investigated. Unlike the previous theoretical model of the combined imaging method constructed under the assumption of slow variation of the individual transfer functions (large Fresnel numbe...

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Bibliographic Details
Published in:Optics communications 2006-03, Vol.259 (1), p.19-31
Main Authors: Nesterets, Ya.I., Gureyev, T.E., Pavlov, K.M., Paganin, D.M., Wilkins, S.W.
Format: Article
Language:English
Subjects:
Coherence
Diffraction
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Image forming and processing
Image forming and reconstruction
Image reconstruction
tomography
Imaging and optical processing
Modulation and optical transfer functions
Optical transfer functions
Optics
Phase retrieval
Physics
X-ray instruments
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Summary:A new theoretical method combining analyser-based and propagation-based hard X-ray phase-contrast imaging is investigated. Unlike the previous theoretical model of the combined imaging method constructed under the assumption of slow variation of the individual transfer functions (large Fresnel numbers), a new model proposed in this paper uses the assumption of a weak scatterer (analogous to the first Born approximation). Consequently, the results are not limited to the case of short propagation distances or low-resolution imaging. An explicit expression for the combined transfer function is derived and analytical and numerical examples solving related inverse imaging problems are presented.
ISSN:0030-4018
1873-0310
DOI:10.1016/j.optcom.2005.08.055