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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 19, Iss. 12 — Dec. 2, 2002
  • pp: 2967–2977

Oscillation spectra of semilinear photorefractive coherent oscillator with two pump waves

Pierre Mathey, Serguey G. Odoulov, and Daniel Rytz  »View Author Affiliations

JOSA B, Vol. 19, Issue 12, pp. 2967-2977 (2002)

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The transition of the single-frequency oscillation of a semilinear photorefractive coherent oscillator for sufficiently large coupling strengths into two-frequency oscillation is predicted and is observed experimentally. The critical value of coupling strength at which the bifurcation occurs is a function of pump-intensity ratio and cavity losses. For certain combinations of these parameters, the critical coupling strength for spectrum bifurcation becomes smaller than the threshold coupling strength: in these cases double-frequency oscillation appears at the threshold. The supercritical bifurcation in the oscillation spectrum is analogous to the second-order phase transition.

© 2002 Optical Society of America

OCIS Codes
(190.4380) Nonlinear optics : Nonlinear optics, four-wave mixing
(190.5040) Nonlinear optics : Phase conjugation
(190.5330) Nonlinear optics : Photorefractive optics
(230.4910) Optical devices : Oscillators

Pierre Mathey, Serguey G. Odoulov, and Daniel Rytz, "Oscillation spectra of semilinear photorefractive coherent oscillator with two pump waves," J. Opt. Soc. Am. B 19, 2967-2977 (2002)

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  1. A. Yariv and D. Pepper, “Amplified reflection, phase conjugation, and oscillation in degenerate four-wave mixing,” Opt. Lett. 1, 16–18 (1977). [CrossRef] [PubMed]
  2. J. Feinberg and R. Hellwarth, “Phase conjugate mirror with continuous wave gain,” Opt. Lett. 5, 519–521 (1980). [CrossRef]
  3. M. Cronin-Golomb, B. Fischer, J. O. White, and A. Yariv, “Theory and applications of four-wave mixing in photorefractive media,” IEEE J. Quantum Electron. QE-20, 12–30 (1984). [CrossRef]
  4. A. A. Bagan, V. B. Gerasimov, A. V. Golyanov, V. E. Ogluzdin, V. A. Sugrobov, I. L. Rubtsova, and A. I. Khyzhnjak, “Conditions for the stimulated emission from a laser with cavities coupled via a dynamic hologram,” Sov. J. Quantum Electron. 17, 49–51 (1990).
  5. G. C. Valley and G. J. Dunning, “Observation of optical chaos in a phase conjugate resonator,” Opt. Lett. 9, 513–515 (1984). [CrossRef] [PubMed]
  6. Siuying R. Liu and G. Indebetouw, “Periodic and chaotic spatiotemporal states in a phase-conjugate resonator using a photorefractive BaTiO3 phase-conjugate mirror,” J. Opt. Soc. Am. B 9, 1507–1520 (1992). [CrossRef]
  7. P. Mathey, P. Jullien, S. Odoulov, and O. Shinkarenko, “Manifestation of optical Curie–Weiss law for optical phase transition,” Appl. Phys. B 73, 711–715 (2001). [CrossRef]
  8. P. Mathey, P. Jullien, S. Odoulov, and O. Shinkarenko, “Second-order optical phase transition in a semilinear photorefractive oscillator with two counterpropagating pump waves,” J. Opt. Soc. Am. B 19, 405–411 (2002). [CrossRef]
  9. M. G. Reznikov and A. I. Khizhnyak, “Properties of a resonator with a wavefront reversing mirror,” Sov. J. Quantum Electron. 10, 533–634 (1979).
  10. P. A. Belanger, A. Hardy, and A. Siegman, “Resonant modes of optical cavities with phase-conjugate mirrors,” Appl. Opt. 19, 602–609 (1980). [CrossRef] [PubMed]
  11. G. Nicolis, Introduction to Nonlinear Science (Cambridge University, New York, 1995).
  12. M. C. Cross and P. C. Hohenberg, “Pattern formation outside of equilibrium,” Rev. Mod. Phys. 65, 851–1112 (1993). [CrossRef]
  13. K. R. McDonald and J. Feinberg, “Enhanced four-wave mixing by use of frequency shifted waves in photorefractive BaTiO3,” Phys. Rev. Lett. 55, 821–824 (1985). [CrossRef]
  14. S. Odoulov, M. Soskin, and A. Khyzhnyak, Optical Coherent Oscillators with Degenerate Four-Wave Mixing (Dynamic Grating Lasers) (Harwood Academic, Chur, Switzerland, 1991), pp. 37–39.
  15. J. Feinberg, “Self-pumped, continuous-wave phase conjugator using internal reflection,” Opt. Lett. 7, 486–488 (1982). [CrossRef] [PubMed]
  16. Y. Feinman, E. Klancnik, and S. H. Lee, “Optimal coherent image amplification by two-wave coupling in photorefractive BaTiO3,” Opt. Eng. 25, 228–234 (1986).
  17. D. Engin, S. Orlov, M. Segev, G. Valley, and A. Yariv, “Order-disorder phase transition and critical slowing down in photorefractive self-oscillators,” Phys. Rev. Lett. 74, 1743–1746 (1995). [CrossRef] [PubMed]
  18. M. Goul’kov, O. Shinkarenko, S. Odoulov, E. Kraetzig, and R. Pankrath, “Threshold of oscillation in a ring-loop phase conjugator as a second order optical phase transition,” Appl. Phys. B 72, 187–190 (2001). [CrossRef]
  19. D. Mahgerefteh and J. Feinberg, “Explanation of the apparent sublinear photoconductivity of photorefractive barium titanate,” Phys. Rev. Lett. 64, 2195–2198 (1990). [CrossRef] [PubMed]
  20. P. Mathey, B. Mazué, P. Jullien, and D. Rytz, “Dynamics of optical filtering and edge enhancement in cobalt-doped barium titanate,” J. Opt. Soc. Am. B 15, 1353–1361 (1998). [CrossRef]
  21. J. P. Jiang and J. Feinberg, “Dancing modes and frequency shifts in a phase conjugator,” Opt. Lett. 12, 266–268 (1987). [CrossRef] [PubMed]
  22. A. Mazur and S. Odoulov, “Ring photorefractive oscillator with linear cavity distortion,” IEEE J. Quantum Electron. 26, 963–966 (1990). [CrossRef]
  23. S. Odoulov, U. van Olfen, and E. Kraetzig, “Mirrorless parametric oscillation in BaTiO3,” Appl. Phys. B 54, 313–317 (1992). [CrossRef]
  24. B. Sturman, S. Odoulov, and M. Goul’kov, “Parametric four-wave processes in photorefractive crystals,” Phys. Rep. 275, 197–254 (1996). [CrossRef]
  25. R. Grousson, S. Mallick, and S. Odoulov, “Amplified backward scattering in LiNbO3:Fe,” Opt. Commun. 51, 342–346 (1984). [CrossRef]
  26. D. Dolfi, A. Delboulbe, and J.-P. Huignard, “Forward mixing of two mutually incoherent beams in a photorefractive crystal,” Electron. Lett. 29, 450–451 (1993). [CrossRef]
  27. A. Yariv, Quantum Electronics (Wiley, New York, 1989).
  28. A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986).
  29. V. S. Mashkievich, “Theory of laser kinetics for systems with inhomogeneously broadened luminescence spectra,” Ukr. Phys. J. 12, 1731–1736 (1967).
  30. A. D. Manuilskii, S. G. Odoulov, and M. S. Soskin, “Homogeneous linewidth determination for disordered active media from stimulated emission spectra of internal modes,” Phys. Status Solidi 35, k111–k113 (1969). [CrossRef]
  31. O. Emile, M. Brunel, A. Le Floch, and F. Bretenaker, “Vectorial excess noise factor in common lasers,” Europhys. Lett. 43, 153–157 (1998). [CrossRef]
  32. A. Shumelyuk, S. Odoulov, and G. Brost, “Multiline coherent oscillation in photorefractive crystals with two species of movable carriers,” Appl. Phys. B 68, 959–966 (1999). [CrossRef]

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