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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 10 — May. 12, 2008
  • pp: 6896–6903

Non-iterative solution of the phase retrieval problem using a single diffraction measurement

H. M. Quiney , G. J. Williams, and K. A. Nugent  »View Author Affiliations

Optics Express, Vol. 16, Issue 10, pp. 6896-6903 (2008)

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Coherent diffractive imaging is a method by which iterative methods are employed to recover image information about a finite object from its coherent diffraction pattern. We employ methods borrowed from density functional theory to show that an image can be recovered in a single non-iterative step for a finite sample subject to phase-curved illumination. The result also yields a new approach to quantitative x-ray phase-contrast imaging.

© 2008 Optical Society of America

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(100.3010) Image processing : Image reconstruction techniques
(100.5070) Image processing : Phase retrieval
(110.7440) Imaging systems : X-ray imaging

ToC Category:
Image Processing

Original Manuscript: February 11, 2008
Revised Manuscript: March 18, 2008
Manuscript Accepted: April 20, 2008
Published: April 30, 2008

H. M. Quiney, G. J. Williams, and K. A. Nugent, "Non-iterative solution of the phase retrieval problem using a single diffraction measurement," Opt. Express 16, 6896-6903 (2008)

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