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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 23, Iss. 5 — May. 1, 2006
  • pp: 1227–1235

Improved-resolution digital holography using the generalized sampling theorem for locally band-limited fields

Adrian Stern and Bahram Javidi  »View Author Affiliations


JOSA A, Vol. 23, Issue 5, pp. 1227-1235 (2006)
http://dx.doi.org/10.1364/JOSAA.23.001227


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Abstract

We describe the recording conditions that, together with the appropriate numerical reconstruction process, permit high-lateral-resolution reconstruction of in-line digital holograms. By high resolution, we mean a resolution that is beyond the Nyquist frequency, which is achieved by common methods. The proposed method is based on a previously reported generalized sampling theory that presents the conditions to precisely reconstruct fields that in certain cases may be sampled with a sampling rate lower than the Nyquist rate. We examine the hologram-recording process in the Wigner space. On the basis of this analysis, we demonstrate a simple high-resolution numerical reconstruction method.

© 2006 Optical Society of America

OCIS Codes
(090.1760) Holography : Computer holography
(100.6890) Image processing : Three-dimensional image processing
(110.6880) Imaging systems : Three-dimensional image acquisition

ToC Category:
Holography

History
Original Manuscript: April 21, 2005
Revised Manuscript: September 22, 2005
Manuscript Accepted: September 23, 2005

Citation
Adrian Stern and Bahram Javidi, "Improved-resolution digital holography using the generalized sampling theorem for locally band-limited fields," J. Opt. Soc. Am. A 23, 1227-1235 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-5-1227

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