OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 6, Iss. 2 — Feb. 1, 1989
  • pp: 234–243

Analysis of the leakage from computer-generated holograms synthesized by direct binary search

Brian K. Jennison and Jan P. Allebach  »View Author Affiliations

JOSA A, Vol. 6, Issue 2, pp. 234-243 (1989)

View Full Text Article

Enhanced HTML    Acrobat PDF (1893 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Images reconstructed from computer-generated holograms synthesized by the iterative direct binary search (DBS) technique suffer from noise due to leakage from uncontrolled parts of the diffraction pattern. The statistics of the nonhomogeneous leakage noise are analyzed under the assumption of independent, identically distributed (iid) addressable hologram cell transmittances. Three measures for the effect of the leakage, root-mean-squared (rms) error, efficiency, and contrast are defined and compared for ensemble statistics based on the model and for sample statistics of the leakage noise in images reconstructed from iid holograms and from actual DBS holograms. To assess the relative significance of the leakage noise, these measures are compared with the rms representation-related error and the total efficiency in images reconstructed from DBS holograms. Except for a cross artifact due to a nonzero mean hologram transmittance, the leakage noise is found to exhibit specklelike unity contrast.

© 1989 Optical Society of America

Original Manuscript: April 18, 1988
Manuscript Accepted: September 27, 1988
Published: February 1, 1989

Brian K. Jennison and Jan P. Allebach, "Analysis of the leakage from computer-generated holograms synthesized by direct binary search," J. Opt. Soc. Am. A 6, 234-243 (1989)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. W. J. Dallas, “Computer-generated holograms,” in The Computer in Optical Research, B. R. Frieden, ed. (Springer-Verlag, New York, 1980), pp. 291–366.
  2. W. H. Lee, “Computer-generated holograms: techniques and applications,” in Progress in Optics XVI, E. Wolf, ed. (North-Holland, New York, 1978), pp. 118–232.
  3. Special issue on computer-generated holograms, Appl. Opt. 26, 4350–4399 (1987).
  4. M. A. Seldowitz, J. P. Allebach, D. W. Sweeney, “Synthesis of digital holograms by direct binary search,” Appl. Opt. 26, 2788–2798 (1987). [CrossRef] [PubMed]
  5. J. P. Allebach, “Representation-related errors in binary digital holograms: a unified analysis,” Appl. Opt. 20, 290–299 (1981). [CrossRef] [PubMed]
  6. N. C. Gallagher, B. Liu, “Statistical properties of the Fourier transform of random phase diffusers,” Optik 42, 65–86 (1975).
  7. J. W. Goodman, “Statistical properties of laser speckle patterns,” in Laser Speckle and Related Phenomena, J. C. Dainty, ed. (Springer-Verlag, Berlin, 1975), pp. 9–75. [CrossRef]
  8. D. J. Sakrison, “On the role of the observer and a distortion measure in image transmission,”IEEE Trans. Commun. COM-25, 1251–1267 (1977). [CrossRef]
  9. E. Parzen, Stochastic Processes (Holden-Day, Oakland, Calif., 1962), p. 93.

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