OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 38, Iss. 20 — Jul. 10, 1999
  • pp: 4316–4324

Two-dimensional shifting tolerance of a volume-holographic correlator

Ching-Cherng Sun, Ming-San Tsaur, Wei-Chia Su, Bor Wang, and Arthur E. T. Chiou  »View Author Affiliations

Applied Optics, Vol. 38, Issue 20, pp. 4316-4324 (1999)

View Full Text Article

Enhanced HTML    Acrobat PDF (373 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A simple method for simulating two-dimensional (2-D) distributions of the diffraction lights of a volume-holographic-type VanderLugt correlator is proposed and demonstrated. The simulation results are similar to those of the corresponding experiments, and only a few dozen points are sampled from both the input and the reading patterns. We show that the shifting tolerance to the reading pattern is a result of Bragg degeneracy and is not isotropic. The Bragg degeneracy generates different degrees of cross talk between the horizontal and the vertical directions. With the method we further simulate the 2-D shifting tolerance of the volume-holographic correlator. The simulation results offer a clear picture of the diffraction in a transmission volume hologram used as an optical spatial correlator.

© 1999 Optical Society of America

OCIS Codes
(070.4550) Fourier optics and signal processing : Correlators
(090.7330) Holography : Volume gratings
(190.5330) Nonlinear optics : Photorefractive optics

Original Manuscript: November 9, 1998
Revised Manuscript: April 5, 1999
Published: July 10, 1999

Ching-Cherng Sun, Ming-San Tsaur, Wei-Chia Su, Bor Wang, and Arthur E. T. Chiou, "Two-dimensional shifting tolerance of a volume-holographic correlator," Appl. Opt. 38, 4316-4324 (1999)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. J.-P. Huignard, P. Gunter, Photorefractive Materials and Their Applications: I. Fundamental Phenomena (Springer-Verlag, New York, 1988).
  2. J.-P. Huignard, P. Gunter, Photorefractive Materials and Their Applications: II. Applications (Springer-Verlag, New York, 1989).
  3. J. O. White, A. Yariv, “Real-time image processing via four-wave mixing in a photorefractive medium,” Appl. Phys. Lett. 37, 5–7 (1980). [CrossRef]
  4. J. Yu, F. Mok, D. Psaltis, “Capacity of optical correlators,” in Spatial Light Modulators and Applications II, U. Efron, ed., Proc. SPIE825, 128–135 (1987). [CrossRef]
  5. A. E. T. Chiou, P. Yeh, “Symmetry filters using optical correlation and convolution,” Appl. Opt. 29, 1065–1072 (1990).
  6. C. C. Sun, M. W. Chang, S. Yeh, N. Cheng, “Computer-aided photorefractive pattern recognition,” in Optical Information Processing Systems and Architectures III, B. Javidi, ed., Proc. SPIE1564, 199–210 (1991). [CrossRef]
  7. C. Gu, J. Hong, S. Campbell, “2-D shift-invariant volume holographic correlator,” Opt. Commun. 88, 309–314 (1991). [CrossRef]
  8. K. Y. Hsu, S. Lin, T. Hsieh, L. J. Hu, T. S. Yeh, H. P. Lin, C. H. Lin, S. L. Tu, S. J. Yang, S. E. Hsu, “Photorefractive crystals for real time image processing,” in Photorefractive Materials, Effects, and Applications, Vol. 48 of SPIE Critical Review Series (Society of Photo-Optical Instrumentation Engineers, Bellingham, Wash., 1993), pp. 204–220.
  9. H. Kogelnik, “Coupled wave theory for thick hologram gratings,” Bell Syst. Tech. J. 48, 2909–2947 (1969). [CrossRef]
  10. A. Chiou, “Optical interconnection method for neural networks using self-pumped phase-conjugate mirrors,” Opt. Lett. 17, 15–17 (1991).
  11. P. Yeh, Introduction to Photorefractive Nonlinear Optics (Wiley, New York, 1993).
  12. C. Gu, J. Hong, I. McMichael, R. Saxena, F. Mok, “Cross-talk-limited storage capacity of volume holographic memory,” J. Opt. Soc. Am. A 9, 1978–1983 (1992). [CrossRef]
  13. A. B. VanderLugt, “Signal detection by complex spatial filter,” IEEE Trans. Inf. Theory IT-10, 139–145 (1964).

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