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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 26 — Dec. 24, 2007
  • pp: 17592–17612

Holography with extended reference by autocorrelation linear differential operation

Manuel Guizar-Sicairos and James R. Fienup  »View Author Affiliations


Optics Express, Vol. 15, Issue 26, pp. 17592-17612 (2007)
http://dx.doi.org/10.1364/OE.15.017592


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Abstract

We introduce a generalization of Fourier transform holography that allows the use of the boundary waves of an extended object to act as a holographic-like reference. By applying a linear differential operator on the field autocorrelation, we use a sharp feature on the extended reference to reconstruct a complex-valued image of the object of interest in a single-step computation. We generalize the approach of Podorov et al. [Opt. Express 15, 9954 (2007)] to a much wider class of extended reference objects. Effects of apertures in Fourier domain and imperfections in the reference object are analyzed. Realistic numerical simulations show the feasibility of our approach and its robustness against noise.

© 2007 Optical Society of America

OCIS Codes
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(100.5070) Image processing : Phase retrieval
(110.7440) Imaging systems : X-ray imaging
(090.1995) Holography : Digital holography
(110.3010) Imaging systems : Image reconstruction techniques

ToC Category:
Holography

History
Original Manuscript: October 5, 2007
Revised Manuscript: November 29, 2007
Manuscript Accepted: December 1, 2007
Published: December 11, 2007

Citation
Manuel Guizar-Sicairos and James R. Fienup, "Holography with extended reference by autocorrelation linear differential operation," Opt. Express 15, 17592-17612 (2007)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-26-17592


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