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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 47, Iss. 22 — Aug. 1, 2008
  • pp: E1–E7

Efficient reconstruction of two-dimensional complex amplitudes utilizing the redundancy of the ambiguity function

Xiyuan Liu, Christian Hruscha, and Karl-Heinz Brenner  »View Author Affiliations

Applied Optics, Vol. 47, Issue 22, pp. E1-E7 (2008)

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In a previous paper [ Opt. Commun. 225, 19–30 (2003) ] we presented a method to reconstruct two- dimensional complex amplitudes by using the ambiguity function of one-dimensional intensity scans, obtained from two optical setups involving cylindrical lenses. We demonstrate that the internal redundancy of the ambiguity function can be utilized to improve the efficiency of this method even further. We show that the phase reconstruction errors can be minimized with an appropriate algorithm, and we present experimental data that illustrate the efficient reconstruction of a two-dimensional phase element.

© 2008 Optical Society of America

OCIS Codes
(100.3010) Image processing : Image reconstruction techniques
(100.5070) Image processing : Phase retrieval
(070.2025) Fourier optics and signal processing : Discrete optical signal processing
(140.3295) Lasers and laser optics : Laser beam characterization

ToC Category:
Optics in Computing

Original Manuscript: December 12, 2007
Revised Manuscript: February 28, 2008
Manuscript Accepted: February 29, 2008
Published: April 4, 2008

Xiyuan Liu, Christian Hruscha, and Karl-Heinz Brenner, "Efficient reconstruction of two-dimensional complex amplitudes utilizing the redundancy of the ambiguity function," Appl. Opt. 47, E1-E7 (2008)

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