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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 46, Iss. 16 — Jun. 1, 2007
  • pp: 3118–3125

Determination of large-scale out-of-plane displacements in digital Fourier holography

Ervin Kolenović, Elam Kolenović, Thomas Kreis, Christoph von Kopylow, and Werner Jüptner  »View Author Affiliations

Applied Optics, Vol. 46, Issue 16, pp. 3118-3125 (2007)

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A novel approach for the determination of large-scale out-of-plane displacements from digital Fourier holograms is presented. The proposed method is invariant to lateral object shifts. It is based on the determination of the scaling of the reconstructed image that occurs when the recording distance is changed. For a precise determination of the scaling factor, we utilize the Mellin transform. After the discussion of mathematical and computational issues, experimental results are presented to verify the theoretical considerations. The results show that displacements of at least up to 8.4% from the initial recording distance can be detected with this approach. The displacements could be determined with a deviation of typically less than 1.0% from the set values.

© 2007 Optical Society of America

OCIS Codes
(070.2590) Fourier optics and signal processing : ABCD transforms
(070.6020) Fourier optics and signal processing : Continuous optical signal processing
(090.1760) Holography : Computer holography
(090.2880) Holography : Holographic interferometry
(120.2880) Instrumentation, measurement, and metrology : Holographic interferometry

ToC Category:

Original Manuscript: January 10, 2007
Manuscript Accepted: February 26, 2007
Published: May 15, 2007

Ervin Kolenović, Elam Kolenović, Thomas Kreis, Christoph von Kopylow, and Werner Jüptner, "Determination of large-scale out-of-plane displacements in digital Fourier holography," Appl. Opt. 46, 3118-3125 (2007)

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