OSA's Digital Library

Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Anthony J. Campillo
  • Vol. 31, Iss. 8 — Apr. 15, 2006
  • pp: 1047–1049

Unitary matrices for phase-coded holographic memories

Xinzheng Zhang, Gernot Berger, Mathias Dietz, and Cornelia Denz  »View Author Affiliations


Optics Letters, Vol. 31, Issue 8, pp. 1047-1049 (2006)
http://dx.doi.org/10.1364/OL.31.001047


View Full Text Article

Enhanced HTML    Acrobat PDF (112 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We propose a novel type of unitary matrix for phase-code multiplexed holographic memories, which could be quickly generated from geometric sequences. Our analysis shows that the phase-code matrices are unitary rather than orthogonal. The new matrices have complex elements. The order of unitary matrices can be any positive integer, so that we can accommodate the available spatial light modulators to obtain the maximum possible storage capacity. The cross-talk noises in phase-encoded memories with unitary matrices and with Hadamard matrices are of the same order of magnitude, which are much lower than those in holographic memories with wavelength multiplexing or angle multiplexing.

© 2006 Optical Society of America

OCIS Codes
(090.4220) Holography : Multiplex holography
(090.7330) Holography : Volume gratings
(210.2860) Optical data storage : Holographic and volume memories

ToC Category:
Holography

History
Original Manuscript: December 23, 2005
Manuscript Accepted: January 10, 2006

Citation
Xinzheng Zhang, Gernot Berger, Mathias Dietz, and Cornelia Denz, "Unitary matrices for phase-coded holographic memories," Opt. Lett. 31, 1047-1049 (2006)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-31-8-1047


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. L. d'Auria, J.-P. Huignard, and E. Spitz, IEEE Trans. Magn. 9, 83 (1973). [CrossRef]
  2. J. T. LaMacchia and D. L. White, Appl. Opt. 7, 91 (1968). [CrossRef] [PubMed]
  3. C. Denz, G. Pauliat, and G. Roosen, Opt. Commun. 85, 171 (1991). [CrossRef]
  4. G. A. Rakuljic, V. Leyva, and A. Yariv, Opt. Lett. 17, 1471 (1992). [CrossRef] [PubMed]
  5. K. Curtis, A. Pu, and D. Psaltis, Opt. Lett. 19, 993 (1994). [CrossRef] [PubMed]
  6. D. Psaltis, M. Levene, A. Pu, G. Barbastathis, and K. Curtis, Opt. Lett. 20, 782 (1995). [CrossRef] [PubMed]
  7. K. Curtis and W. L. Wilson, U.S. Patent 5,719,691 (February 12, 1998).
  8. C. Denz, G. Pauliat, G. Roosen, and T. Tschudi, Appl. Opt. 31, 5700 (1992). [CrossRef] [PubMed]
  9. C. Alves, G. Pauliat, and G. Roosen, Opt. Lett. 19, 1894 (1994). [CrossRef] [PubMed]
  10. C. Denz, K.-O. Mueller, T. Heimann, and T. Tschudi, IEEE J. Sel. Top. Quantum Electron. 4, 832 (1998). [CrossRef]
  11. K. Curtis and D. Psaltis, J. Opt. Soc. Am. A 10, 2547 (1993). [CrossRef]
  12. Z. Wen and Y. Tao, Opt. Commun. 148, 11 (1998). [CrossRef]
  13. C. Denz, T. Dellwig, J. Lembcke, and T. Tschudi, Opt. Lett. 21, 278 (1996). [CrossRef] [PubMed]
  14. G. Berger, C. Denz, S. S. Orlov, B. Phillips, and L. Hesselink, Appl. Phys. B 73, 839 (2001). [CrossRef]
  15. G. Berger, M. Stumpe, M. Hoehne, and C. Denz, J. Opt. A Pure Appl. Opt. 7, 567 (2005). [CrossRef]
  16. C. Denz, K.-O. Mueller, F. Visinka, and T. Tschudi, in Holographic Data Storage, H.J.Coufal, D.Psaltis, and G.T.Sincerbox, eds. (Springer-Verlag, 2000).
  17. X. Yang, Y. Xu, and Z. Wen, Opt. Lett. 21, 1067 (1996). [CrossRef] [PubMed]
  18. X. Yang, Z. Wen, and Yu Xu, in Proc. SPIE 2849, 217 (1996). [CrossRef]

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.

Figures

Fig. 1 Fig. 2 Fig. 3
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited