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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry van Driel
  • Vol. 27, Iss. 12 — Dec. 1, 2010
  • pp: 2677–2686

Noise formation in Fourier phase-only holograms

Andreas Georgiou  »View Author Affiliations


JOSA B, Vol. 27, Issue 12, pp. 2677-2686 (2010)
http://dx.doi.org/10.1364/JOSAB.27.002677


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Abstract

This paper presents what is to the author’s knowledge a new theory for phase-only holograms. It explains many phenomena observed in the reconstruction of phase-only Fourier holograms and in particular the existence and nature of noise. Using this theory it was demonstrated that any reconstruction is the convolution of the target reconstruction with a two-dimensional set of impulses. The nature of this convolution function depends on the target reconstruction and in particular the spacing between the spots. In the simplest case of a two-spot generating hologram the convolution function was calculated analytically. The theory is also verified with examples from spot generating holograms, symbology, and image projection holograms.

© 2010 Optical Society of America

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(050.1970) Diffraction and gratings : Diffractive optics
(090.1995) Holography : Digital holography

ToC Category:
Holography

History
Original Manuscript: June 7, 2010
Revised Manuscript: August 23, 2010
Manuscript Accepted: September 27, 2010
Published: November 17, 2010

Citation
Andreas Georgiou, "Noise formation in Fourier phase-only holograms," J. Opt. Soc. Am. B 27, 2677-2686 (2010)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-27-12-2677

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