OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 12, Iss. 6 — Jun. 1, 1995
  • pp: 1036–1047

Stability analysis of two photorefractive ring resonator circuits: the flip-flop and the feature extractor

A. A. Zozulya, M. Saffman, and D. Z. Anderson  »View Author Affiliations


JOSA B, Vol. 12, Issue 6, pp. 1036-1047 (1995)
http://dx.doi.org/10.1364/JOSAB.12.001036


View Full Text Article

Acrobat PDF (633 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We analyze the stability of two recently demonstrated photorefractive resonator circuits. The analysis is based on single-mode models of the multimode circuits. The flip-flop, which consists of two competitively coupled rings, is considered in the two limits where the rings share or have separate gain volumes. Both configurations are found to be stable for typical experimental conditions. The feature extractor consists of two rings with a shared gain volume. It is found to be unconditionally stable. The results are discussed in the context of the experimental demonstrations.

© 1995 Optical Society of America

Citation
A. A. Zozulya, M. Saffman, and D. Z. Anderson, "Stability analysis of two photorefractive ring resonator circuits: the flip-flop and the feature extractor," J. Opt. Soc. Am. B 12, 1036-1047 (1995)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-12-6-1036


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. J. O. White, M. Cronin-Golomb, B. Fischer, and A. Yariv, "Coherent oscillation by self-induced gratings in the photorefractive crystal BaTiO3," Appl. Phys. Lett. 40, 450–452 (1982).
  2. S.-K. Kwong and A. Yariv, "One-way, real time wave front converters," Appl. Phys. Lett. 48, 564–566 (1986).
  3. S. Weiss and B. Fischer, "Photorefractive saturable absorptive and dispersive optical bistability," Opt. Commun. 70, 515–521 (1989).
  4. D. Z. Anderson, "Coherent optical eigenstate memory," Opt. Lett. 11, 56–58 (1986).
  5. D. Z. Anderson and M. C. Erie, "Resonator memories and optical novelty filters," Opt. Eng. 26, 434–444 (1987).
  6. L.-S. Lee, H. M. Stoll, and M. C. Tackitt, "Continuous-time optical neural network associative memory," Opt. Lett. 14, 162–164 (1989).
  7. D. M. Lininger, P. J. Martin, and D. Z. Anderson, "Bistable ring resonator utilizing saturable photorefractive gain and loss," Opt. Lett. 14, 697–699 (1989).
  8. D. Z. Anderson, C. Benkert, B. Chorbajian, and A. Hermanns, "Photorefractive flip-flop," Opt. Lett. 16, 250–252 (1991).
  9. C. Benkert and D. Z. Anderson, "Controlled competitive dynamics in a photorefractive ring oscillator: winner-takesall and the 'voting paradox' dynamics," Phys. Rev. A 44, 4633–4638 (1991).
  10. M. Saffman, C. Benkert, and D. Z. Anderson, "Selforganizing photorefractive frequency demultiplexer," Opt. Lett. 16, 1993–1995 (1991).
  11. D. Z. Anderson, C. Benkert, V. Hebler, J.-S. Jang, D. Montgomery, and M. Saffman, "Optical implementation of a self-organizing feature extractor," in Advances in Neural-Information Processing Systems IV, J. E. Moody, S. J. Hanson, and R. P. Lippmann, eds. (Morgan Kaufmann, San Mateo, Calif., 1992), pp. 821–828.
  12. M. Saffman, D. Montgomery, A. A. Zozulya, and D. Z. Anderson, "Topology preserving mappings in a self-imaging photorefractively pumped ring resonator," Chaos Solitons Fractals (to be published).
  13. N. V. Kukhtarev, V. B. Markov, and S. G. Odulov, "Transient energy transfer during hologram formation in LiNbO3 in external electric field," Opt. Commun. 23, 338–343 (1977).
  14. D. Z. Anderson, M. Saffman, and A. Hermanns, "Manipulating the information carried by an optical beam with reflexive photorefractive beam coupling," J. Opt. Soc. Am. B 12, 117–123 (1995).
  15. D. Z. Anderson and J. Feinberg, "Optical novelty filters," IEEE J. Quantum Electron. 25, 635–647 (1989).
  16. A. A. Zozulya and V. T. Tikhonchuk, "Investigation of stability of four-wave mixing in photorefractive media," Phys. Lett. A 135, 447–452 (1989).
  17. N. V. Kukhtarev, "Kinetics of hologram recording and erasure in electrooptic crystals," Sov. Tech. Phys. Lett. 2, 438–440 (1976).
  18. M. G. Zhanuzakov, A. A. Zozulya, and V. T. Tikhonchuk, "Stability and bistability of stationary states in four-wave interaction in a photorefractive medium," J. Sov. Laser Res. 11, 59–68 (1989).
  19. D. M. Lininger, D. D. Crouch, P. J. Martin, and D. Z. Anderson, "Theory of bistability and self pulsing in a ring resonator with saturable photorefractive gain and loss," Opt. Commun. 76, 89–96 (1990).
  20. M. Saffman and D. Z. Anderson, "Mode multiplexing and holographic demultiplexing communication channels on a multimode fiber," Opt. Lett. 16, 300–302 (1991).

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