OSA's Digital Library

Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 12, Iss. 13 — Jun. 28, 2004
  • pp: 2999–3010

Nonlinear dynamics of two-wave coupling process

M.R. Sayeh and A. Siahmakoun  »View Author Affiliations


Optics Express, Vol. 12, Issue 13, pp. 2999-3010 (2004)
http://dx.doi.org/10.1364/OPEX.12.002999


View Full Text Article

Enhanced HTML    Acrobat PDF (137 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We present a closed-form solution for the two-wave coupling process, resulting in a solution with an interesting part, the arbitrary function Λ(t), not being considered in the previous works. In the photorefractive medium, it has been shown that a moving grating will produce a phase shift in the coupling constant. To our knowledge, this has not been derived directly from the grating dynamic equations. We will also show that the temporal dynamics does not have any asymptotically stable equilibrium points of an exponential form. As an example, we have developed resonance conditions resulting in a new expression for the frequency detuning of a resonator with a photorefractive gain medium.

© 2004 Optical Society of America

OCIS Codes
(190.0190) Nonlinear optics : Nonlinear optics
(190.5330) Nonlinear optics : Photorefractive optics
(190.7070) Nonlinear optics : Two-wave mixing
(210.0210) Optical data storage : Optical data storage
(210.2860) Optical data storage : Holographic and volume memories

ToC Category:
Research Papers

History
Original Manuscript: May 28, 2004
Revised Manuscript: June 18, 2004
Published: June 28, 2004

Citation
M. Sayeh and A. Siahmakoun, "Nonlinear dynamics of two-wave coupling process," Opt. Express 12, 2999-3010 (2004)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-12-13-2999


Sort:  Journal  |  Reset  

References

  1. P. Yeh, Introduction to Photorefractive Nonlinear Optics, (John Wiley and Sons, Inc., New York, 1993).
  2. K. H. Ringhofer, V. P. Kamenov, B.I. Sturman, and A. Chernykh, ???Shaping of photorefrac tive two-wave coupling by fast phase modulation,'' Phys. Rev. E 61, 2029 (2000). [CrossRef]
  3. M. Cronin-Golomb, A.M. Biernacki, C. Lin, and H. Kong, ???Photorefractive time differentiation of coherent optical images,??? Opt. Lett. 12, 1029 (1987). [CrossRef] [PubMed]
  4. A. Hermanns, C. Benkert, D. M. Lininger, and D.Z. Anderson, ???The transfer function and impulse response of photorefractive two-beam coupling,??? IEEE J. Quantum Electron. 28, 750 (1992). [CrossRef]
  5. D. Z. Anderson and J. Feinberg, ???Optical novelty filters,??? IEEE J. Quantum Electron. 25, 635 (1989). [CrossRef]
  6. N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, ???Holographic storage in electrooptic crystals. I. steady state,??? Ferroelectrics 22, 949 (1979). [CrossRef]
  7. M. Horowitz, D. Kligler, and B. Fischer, ???Time-dependent behavior of photorefractive two- and four-wave mixing,??? J. Opt. Soc. Am. B 8, 2204 (1991). [CrossRef]
  8. O. Sandfuchs and F. Kaiser, and M.R. Belic, ???Dynamics of transverse waves and zigzag instabilities in photorefractive two-wave mixing with a feedback,??? J. Opt. Soc. Am. B 18, 505 (2001). [CrossRef]
  9. N. V. Kukhtarev, V. B. Markov, and S. G. Odulov, ???Transient energy transfer during hologram formation in LiNbO3 in external electric field,??? Optics Communications 23, 338 (1977). [CrossRef]
  10. G. Pauliat, M. Ingold, and P. Günter, ???Analysis of the build up of oscillations in self-induced photorefractive light resonators,??? IEEE J. Quantum Electron. 25, 201 (1989). [CrossRef]
  11. A. Bledowski, W. Krolikowski, and A. Kujawski, ???Temporal instabilities in single-grating photorefractive four-wave mixing,??? J. Opt. Soc. Am. B 6, 1544 (1989). [CrossRef]
  12. H. Kogelnik, ???Coupled wave theory for thick hologram gratings,??? Bell Syst. Tech. J. 48, 2909 (1969).
  13. B. Fischer, S. Sternklar, and S. Weiss, ???Photorefractive oscillators,??? IEEE J. Quantum Electron. 25, 550 (1989). [CrossRef]
  14. S. Kwong, M. Cronin-Golomb, and A. Yariv, ???Oscillation with photorefractive gain,??? IEEE J. Quantum Electron. QE-22, 1508 (1986). [CrossRef]
  15. M. D. Ewbank and P. Yeh, ???Frequency shift and cavity length in photorefractive resonators,??? Opt. Lett. 10, 486 (1985). [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.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited