Generalized eikonal of partially coherent beams and its use in quantitative imaging

The generalized eikonal of a partially coherent paraxial wave is introduced via a differential equation describing the evolution of the time-averaged intensity. The theoretical formalism provides an analytical tool for the study of partially coherent imaging systems. It also makes possible quantitat...

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Bibliographic Details
Published inPhysical review letters Vol. 93; no. 6; p. 068103
Main Authors Gureyev, T E, Paganin, D M, Stevenson, A W, Mayo, S C, Wilkins, S W
Format Journal Article
LanguageEnglish
Published United States 06.08.2004
Subjects
Biophysics - methods
Image Processing, Computer-Assisted - methods
Latex
Microscopy, Phase-Contrast - methods
Models, Statistical
Phantoms, Imaging
Radiographic Image Enhancement
X-Rays
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Summary:The generalized eikonal of a partially coherent paraxial wave is introduced via a differential equation describing the evolution of the time-averaged intensity. The theoretical formalism provides an analytical tool for the study of partially coherent imaging systems. It also makes possible quantitative phase retrieval and compositional mapping of weakly absorbing samples using phase-contrast imaging with broadband polychromatic radiation of known spectral distribution. An experimental demonstration is presented of the quantitative reconstruction of the projected thickness of a sample, given a phase-contrast image obtained using a polychromatic microfocus x-ray source.
ISSN:0031-9007
DOI:10.1103/PhysRevLett.93.068103