Use of Kramers-Kronig relation in phase retrieval calculation in X-ray spectro-ptychography

Coherent diffraction imaging (CDI) is a method for reconstructing the complex-valued image of an object from diffraction intensities by using iterative phasing methods. X-ray ptychography is a scanning type of CDI using X-rays, allowing us to visualize the complex transmission function of an extende...

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Bibliographic Details
Published in:Optics express 2017-04, Vol.25 (8), p.8593-8603
Main Authors: Hirose, Makoto, Shimomura, Kei, Burdet, Nicolas, Takahashi, Yukio
Format: Article
Language:English
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Summary:Coherent diffraction imaging (CDI) is a method for reconstructing the complex-valued image of an object from diffraction intensities by using iterative phasing methods. X-ray ptychography is a scanning type of CDI using X-rays, allowing us to visualize the complex transmission function of an extended specimen. We here propose the use of the Kramers-Kronig relation (KKR) as an additional constraint in phase retrieval algorithms for multiple-energy X-ray ptychography using the absorption edge of a specific element. A numerical simulation showed that the speed of convergence was increased by using the improved algorithm with the KKR. We successfully demonstrated its usefulness in a proof-of-principle experiment at SPring-8. The present algorithm is particularly useful for imaging X-ray absorption fine structures of a specific element buried within thick samples by hard X-ray spectro-ptychography.
ISSN:1094-4087
1094-4087
DOI:10.1364/oe.25.008593