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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 25 — Dec. 6, 2010
  • pp: 25771–25785

Nonlinear phase retrieval from single-distance radiograph

Julian Moosmann, Ralf Hofmann, Andrei V. Bronnikov, and Tilo Baumbach  »View Author Affiliations


Optics Express, Vol. 18, Issue 25, pp. 25771-25785 (2010)
http://dx.doi.org/10.1364/OE.18.025771


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Abstract

Phase contrast in the object plane of a phase object is retrieved from intensity contrast at a single object-detector distance. Expanding intensity contrast and phase shift in the detector plane in powers of object-detector distance, phase retrieval is performed beyond the solution to the linearized transport-of-intensity equation. The expansion coefficients are determined by the entire paraxial wave equation. The Laplacian of the phase shift in the object plane thus is written as a local expression linear in the intensity contrast and nonlinear in the phase shift in the object plane. A perturbative approach to this expression is proposed and tested with simulated phantom data.

© 2010 Optical Society of America

OCIS Codes
(100.2960) Image processing : Image analysis
(100.3010) Image processing : Image reconstruction techniques
(100.5070) Image processing : Phase retrieval
(340.7440) X-ray optics : X-ray imaging

ToC Category:
Image Processing

History
Original Manuscript: September 16, 2010
Revised Manuscript: October 11, 2010
Manuscript Accepted: October 14, 2010
Published: November 23, 2010

Citation
Julian Moosmann, Ralf Hofmann, Andrei Bronnikov, and Tilo Baumbach, "Nonlinear phase retrieval from single-distance radiograph," Opt. Express 18, 25771-25785 (2010)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-18-25-25771


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