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Generalized eikonal of partially coherent beams and its use in quantitative imaging
T E Gureyev1, D M Paganin, A W Stevenson
1CSIRO Manufacturing and Infrastructure Technology, PB33, Clayton 3169, Australia.
Physical Review Letters
|August 25, 2004
Summary
A new method uses a generalized eikonal to analyze partially coherent waves, enabling quantitative phase retrieval and material mapping in imaging systems. This technique reconstructs sample thickness using polychromatic X-ray phase-contrast imaging.
Area of Science:
- Optics and Photonics
- Wave Propagation
- Image Analysis
Background:
- Partially coherent waves present challenges in imaging and analysis.
- Quantitative phase retrieval is crucial for material characterization.
- Phase-contrast imaging offers high sensitivity to optical path differences.
Purpose of the Study:
- Introduce a generalized eikonal for partially coherent paraxial waves.
- Develop an analytical tool for partially coherent imaging systems.
- Enable quantitative phase retrieval and compositional mapping of weakly absorbing samples.
Main Methods:
- Formulate a differential equation for time-averaged intensity evolution.
- Utilize broadband polychromatic radiation with known spectral distribution.
- Employ phase-contrast imaging with a polychromatic microfocus X-ray source.
Main Results:
- The generalized eikonal provides a theoretical framework for analyzing partially coherent wave propagation.
- Quantitative reconstruction of sample projected thickness was achieved.
- The method demonstrates feasibility for compositional mapping.
Conclusions:
- The generalized eikonal is a powerful tool for studying partially coherent imaging systems.
- This approach facilitates quantitative phase retrieval and material analysis.
- Experimental validation confirms the technique's utility in X-ray imaging.