OSA's Digital Library

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


View Full Text Article

Enhanced HTML    Acrobat PDF (3282 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

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


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. W. A. Crossland, I. G. Manolis, M. M. Redmond, K. L. Tan, T. D. Wilkinson, M. J. Holmes, T. R. Parker, H. H. Chu, J. Croucher, V. A. Handerek, S. T. Warr, B. Robertson, I. G. Bonas, R. Franklin, C. Stace, H. J. White, R. A. Woolley, and H. G., “Holographic optical switching: the “ROSES” demonstrator,” J. Lightwave Technol. 18, 1845–1854 (2000). [CrossRef]
  2. D. O’Brien, R. Mears, T. Wilkinson, and W. Crossland, “Dynamic holographic interconnects that use ferroelectric liquid-crystal spatial light modulators,” Appl. Opt. 33, 2795–2803 (1994). [CrossRef] [PubMed]
  3. K. L. Tan, S. T. Warr, M. G. Ilias, T. D. Wilkinson, M. M. Redmond, A. W. Crossland, and B. Robertson, “Dynamic holography for optical interconnections. I. noise floor of low-crosstalk holographic switches,” J. Opt. Soc. Am. A 18, 195–204 (2001). [CrossRef]
  4. A. Ashkin, J. M. Dziedzic, J. E. Bjorkholm, and S. Chu, “Observation of a single-beam gradient force optical trap for dielectric particles,” Opt. Lett. 11, 288–290 (1986). [CrossRef] [PubMed]
  5. J. Leach, G. Sinclair, P. Jordan, J. Courtial, M. Padgett, J. Cooper, and Z. Laczik, “3D manipulation of particles into crystal structures using holographic optical tweezers,” Opt. Express 12, 220–226 (2004). [CrossRef] [PubMed]
  6. A. Georgiou and W. A. Crossland, “Image projection using phase-only holograms,” in Photon04 Conference Proceedings (2004).
  7. A. Georgiou, J. Christmas, J. Moore, A. Jeziorska, A. Davey, N. Collings, and W. A. Crossland, “Liquid crystal on silicon device characteristics for holographic projection of high-definition television images,” Appl. Opt. 47, 4793–4803 (2008). [CrossRef] [PubMed]
  8. H. Dammann and K. Gortler, “High-efficiency in-line multiple imaging by means of multiple phase holograms,” Opt. Commun. 3, 312–315 (1971). [CrossRef]
  9. R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik (Stuttgart) 35, 237–246 (1972).
  10. J. R. Fienup, “Reconstruction of an object from the modulus of its Fourier transform,” Opt. Lett. 3, 27–29 (1978). [CrossRef] [PubMed]
  11. S. Kirkpatrick, C. Gelatt, and J. M. P. Vecchi, “Optimization by simulated annealing,” Science 220, 671–680 (1983). [CrossRef] [PubMed]
  12. A. Georgiou, J. Christmas, N. Collings, J. Moore, and W. A. Crossland, “Aspects of hologram calculation for video frames,” J. Opt. A, Pure Appl. Opt. 10, 035302 (2008). [CrossRef]
  13. A. G. Georgiou, M. Komarcevic, T. D. Wilkinson, and W. A. Crossland, “Hologram optimisation using liquid crystal modelling,” Mol. Cryst. Liq. Cryst. 343, 511–526 (2005).
  14. J. W. Goodman, Introduction to Fourier Optics, 3rd ed. (Robert, 2005).
  15. E. G. Johnson and M. A. G. Abushagur, “Microgenetic-algorithm optimization methods applied to dielectric gratings,” J. Opt. Soc. Am. A 12, 1152–1160 (1995). [CrossRef]
  16. J. W. Goodman, Statistical Optics (Wiley, 2000).
  17. H. Akahori, “Spectrum leveling by an iterative algorithm with a dummy area for synthesizing the kinoform,” Appl. Opt. 25, 802–811 (1986). [CrossRef] [PubMed]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited