OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 39, Iss. 35 — Dec. 10, 2000
  • pp: 6556–6560

Joint transform correlator for optical temporal signals

Gal Shabtay, David Mendlovic, and Zeev Zalevsky  »View Author Affiliations

Applied Optics, Vol. 39, Issue 35, pp. 6556-6560 (2000)

View Full Text Article

Enhanced HTML    Acrobat PDF (93 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Correlation is considered to be a fundamental operation in the field of signal processing. The fact that this operation can be implemented optically in a relatively simple manner is an important advantage of utilizing optical systems for signal processing. The VanderLugt 4-f system and the joint transform correlator (JTC) are the two most popular configurations for performing a spatial correlation operation optically. So far the JTC architecture has been used for performing correlation between two images, which are illuminated by a quasi-monochromatic light source. We propose a generalization of the JTC that performs a correlation between two temporal optical signals.

© 2000 Optical Society of America

OCIS Codes
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(070.4550) Fourier optics and signal processing : Correlators
(100.4550) Image processing : Correlators

Original Manuscript: February 25, 1999
Revised Manuscript: August 18, 1999
Published: December 10, 2000

Gal Shabtay, David Mendlovic, and Zeev Zalevsky, "Joint transform correlator for optical temporal signals," Appl. Opt. 39, 6556-6560 (2000)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. A. VanderLugt, “Signal detection by complex spatial filtering,” IEEE Trans. Inf. Theory IT-10, 139–143 (1964).
  2. A. W. Lohnmann, H. W. Werlich, “Incoherent matched filter with Fourier holograms,” Appl. Opt. 7, 561–563 (1968).
  3. J. E. Rau, “Detection of differences in real distributions,” J. Opt. Soc. Am. 56, 1490–1494 (1966). [CrossRef]
  4. C. S. Weaver, J. W. Goodman, “A technique for optically convolving two functions,” Appl. Opt. 5, 1248–1250 (1966). [CrossRef] [PubMed]
  5. A. W. Lohmann, D. Mendlovic, “Temporal filtering with time lenses,” Appl. Opt. 31, 6212–6219 (1992). [CrossRef] [PubMed]
  6. W. Kolner, M. Nazarathy, “Temporal imaging with a time lens,” Opt. Lett. 14, 630–632 (1989), erratum, Opt. Lett. 15, 655 (1990).
  7. D. Grischkowsky, A. C. Balant, “Optical pulse compression based on enhanced frequency chirping,” Appl. Phys. Lett. 41, 1–3 (1982). [CrossRef]
  8. W. T. Rhodes, “Acousto-optic signal processing: convolution and correlation,” Proc. IEEE 69, 65–79 (1981). [CrossRef]
  9. C. A. Sprague, C. L. Koliopoulos, “Time integrating acousto-optic correlator (A),” J. Opt. Soc. Am. 65, 1178 (1975).
  10. N. A. Riza, “In line interferometric time-integrating acousto-optic correlator,” Appl. Opt. 33, 3060–3069 (1994). [CrossRef] [PubMed]
  11. C. Froehly, B. Colombeau, M. Vampouille, “Shaping and analysis of picosecond light pulses,” in Progress in Optics XX, E. Wolf, ed. (Elsevier, Amsterdam, 1983), pp. 63–153. [CrossRef]
  12. M. C. Nuss, M. Li, T. H. Chiu, A. M. Weiner, A. Partovi, “Time-to-space mapping of femtosecond pulses,” Opt. Lett. 19, 664–666 (1994). [CrossRef] [PubMed]
  13. T. Mazurenko, “Time-domain Fourier transform holography and possible applications in signal processing,” Opt. Eng. 31, 739–749 (1994). [CrossRef]
  14. A. M. Weiner, J. P. Heritage, E. M. Kirschner, “High-resolution femtosecond pulse shaping,” J. Opt. Soc. Am. B. 5, 1563–1572 (1988). [CrossRef]
  15. M. Weiner, J. P. Heritage, “Picosecond and femtosecond Fourier pulse shape synthesis,” Rev. Phys. Appl. 22, 1619–1628 (1987). [CrossRef]
  16. F. Salin, J. Squier, G. Mourou, “Large temporal stretching of ultrashort pulses,” Appl. Opt. 31, 1225–1228 (1992). [CrossRef] [PubMed]
  17. P. C. Sun, Y. T. Mazurenko, W. S. C. Chang, P. K. L. Yu, Y. Fainman, “All optical parallel-to-serial conversion by holographic spatial-to-temporal frequency encoding,” Opt. Lett. 20, 1–3 (1995). [CrossRef]
  18. M. Aguilar, M. Carrascosa, F. Agullo-Lopez, L. F. Magana, L. Solymar, “Short-time photorefractive recording in multiple quantum wells: longitudinal geometry,” J. Opt. Soc. Am. B 13, 2630–2635 (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.


Fig. 1 Fig. 2 Fig. 3
Fig. 4 Fig. 5

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited