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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 23, Iss. 12 — Dec. 1, 2006
  • pp: 3171–3176

Reconstruction of complex-valued electron density with x-ray in-line holograms

Hiroshi Yamazaki, Yoshiki Kohmura, Tatsuyuki Sakurai, and Tetsuya Ishikawa  »View Author Affiliations


JOSA A, Vol. 23, Issue 12, pp. 3171-3176 (2006)
http://dx.doi.org/10.1364/JOSAA.23.003171


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Abstract

A reconstruction algorithm is proposed to analyze the complex-valued electron-density distribution in an object with x-ray in-line holograms. The real and imaginary parts of the electron density correspond to local variations of x-ray phase shift and absorption, respectively. In the algorithm, the least-squares error of the holograms is iteratively minimized under sign constraints on the real and imaginary parts. The constraints, which are derived from the physical conditions in the interaction between x rays and materials, facilitate robust reconstruction. The reconstruction was applied to holograms of a biological specimen that caused both phase shift and absorption.

© 2006 Optical Society of America

OCIS Codes
(090.0090) Holography : Holography
(100.3010) Image processing : Image reconstruction techniques
(340.7440) X-ray optics : X-ray imaging

ToC Category:
Holography

History
Original Manuscript: April 28, 2006
Revised Manuscript: June 11, 2006
Manuscript Accepted: June 16, 2006

Virtual Issues
Vol. 2, Iss. 1 Virtual Journal for Biomedical Optics

Citation
Hiroshi Yamazaki, Yoshiki Kohmura, Tatsuyuki Sakurai, and Tetsuya Ishikawa, "Reconstruction of complex-valued electron density with x-ray in-line holograms," J. Opt. Soc. Am. A 23, 3171-3176 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-12-3171

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