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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 18 — Aug. 31, 2009
  • pp: 15842–15852

Undersampled digital holography

Nazif Demoli, Hanan Halaq, Kristina Šariri, Marc Torzynski, and Dalibor Vukicevic  »View Author Affiliations


Optics Express, Vol. 17, Issue 18, pp. 15842-15852 (2009)
http://dx.doi.org/10.1364/OE.17.015842


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Abstract

Acceptable signal recovery of the band-pass signals typically used in the off-axis digital holography systems is possible in the undersampling conditions. A typical system is considered in which the angle between two beams represents a variable parameter. For the given signal bandwidth and experimental conditions the hologram reconstruction is constrained by the sampling frequency of the array photo-detector. Reconstructions from the undersampled digital holograms are analyzed both theoretically and experimentally. It is shown how increasing the angle values beyond the Nyquist limits leads to repeatedly folding and inverting the reconstructed object image until the fading of the image. The phase point at the image fading and the non-overlapping intervals for correctly preserving the useful information are defined and evaluated. Amplitude distributions are analyzed on the example of the time-averaged holograms acquired for an oscillating membrane. Based on removing the zeroth-order reconstruction term, significant extensions of these intervals are also demonstrated.

© 2009 Optical Society of America

OCIS Codes
(100.2000) Image processing : Digital image processing
(090.1995) Holography : Digital holography

ToC Category:
Holography

History
Original Manuscript: April 30, 2009
Revised Manuscript: June 16, 2009
Manuscript Accepted: June 22, 2009
Published: August 21, 2009

Citation
Nazif Demoli, Hanan Halaq, Kristina Šariri, Marc Torzynski, and Dalibor Vukicevic, "Undersampled digital holography," Opt. Express 17, 15842-15852 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-18-15842


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