Transverse modulational instability in counterpropagating two-wave mixing with frequency-detuned pump beams

Journal of the Optical Society of America B: Optical Physics

Volumn 18, Issue 5, 2001, Pages 628-638

  Schwab, M ^a   Denz, C ^a,c   Saffman, M ^b,d  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

^b TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

^c UNIVERSITY OF MÜNSTER   (Germany)

^d University of Wisconsin Madison   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFRACTION GRATINGS; FREQUENCY MODULATION; OPTICAL PUMPING; PHOTOREFRACTIVE MATERIALS; TRANSPORT PROPERTIES; TUNING;

FREQUENCY DETUNINGS;

NONLINEAR OPTICS;

EID: 0035613545     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.18.000628     Document Type: Article

References (36)

1. D. Walgraef, Spatio-Temporal Pattern Formation (Springer, New York, 1995).
2. M. C. Cross and P. C. Hohenberg, "Pattern formation outside of equilibrium," Rev. Mod. Phys. 65, 851-1113 (1993).
3. M. A. Vorontsov and W. B. Miller, eds., Self-Organization in Optical Systems and Applications in Information Technology (Springer, Berlin, 1995).
4. G. Grynberg, E. Le Bihan, P. Verkerk, P. Simoneau, J. R. R. Leite, D. Bloch, S. Le Boiteaux, and M. Ducloy, "Observation of instabilities due to mirrorless four-wave mixing oscillation in sodium," Opt. Commun. 67, 363-366 (1988).
5. J. Pender and L. Hesselink, "Degenerate conical emission in atomic sodium vapor," J. Opt. Soc. Am. B 7, 1361-1373 (1990).
6. A. Petrossian, M. Pinard, A. Maître, J.-Y. Courtois, and G. Grynberg, "Transverse-pattern formation for counterpropagating beams in rubidium vapor," Europhys. Lett. 18, 689-695 (1992).
7. S. N. Vlasov and E. V. Sheinina, "On the theory of interaction of counterpropagating waves in a nonlinear cubic medium," Izv. Vyssh. Uchebn. Zaved. Radioflz. 26, 20 (1983) [Radiophys. Quantum Electron. 27, 15 (1983)].
8. S. N. Vlasov and E. V. Sheinina, "On the theory of interaction of counterpropagating waves in a nonlinear cubic medium," Izv. Vyssh. Uchebn. Zaved. Radioflz. 26, 20 (1983) [Radiophys. Quantum Electron. 27, 15 (1983)].
9. W. J. Firth, A. Fitzgerald, and C. Pare, "Transverse instabilities due to counterpropagation in Kerr media," J. Opt. Soc. Am. B 7, 1087-1097 (1990).
10. R. Macdonald and H. J. Eichler, "Spontaneous optical pattern formation in a nematic liquid crystal with feedback mirror," Opt. Commun. 89, 289-295 (1992).
11. M. Tamburrini, M. Bonavita, S. Wabnitz, and E. Santamato, "Hexagonally patterned beam filamentation in a thin liquid-crystal film with a single feedback mirror," Opt. Lett. 18, 855-857 (1993).
12. B. Thüring, R. Neubecker, and T. Tschudi, "Transverse pattern formation in liquid crystal light valve feedback system," Opt. Commun. 102, 111-115 (1993).
13. R. Neubecker, B. Thüring, and T. Tschudi, "Formation and characterization of hexagonal patterns in a single feedback experiment," Chaos, Solitons Fractals 4, 1307-1322 (1994).
14. J. Glückstad and M. Saffman, "Spontaneous pattern formation in a thin film of bacteriorhodopsin with mixed absorptive-dispersive nonlinearity," Opt. Lett. 20, 551-551 (1995).
15. 3," Opt. Lett. 18, 598-600 (1993).
16. 3," Opt. Lett. 20, 851-853 (1995).
17. M. Saffman, D. Montgomery, A. A. Zozulya, K. Kuroda, and D. Z. Anderson, "Transverse instability of counterpropagating waves in photorefractive media," Phys. Rev. A 48, 3209-3215 (1993).
18. A. V. Mamaev and M. Saffman, "Hexagonal optical patterns in anisotropic nonlinear media," Europhys. Lett. 34, 669-674 (1996).
19. T. Honda, H. Matsumoto, M. Sedlatschek, C. Denz, and T. Tschudi, "Spontaneous formation of hexagons, squares and squeezed hexagons in a photorefractive phase conjugator with virtually internal feedback mirror," Opt. Commun. 133, 293-299 (1997).
20. C. Denz, M. Schwab, M. Sedlatschek, T. Tschudi, and T. Honda, "Pattern dynamics and competition in a photorefractive feedback system," J. Opt. Soc. Am. B 15, 2057-2064 (1998).
21. M. Schwab, C. Denz, and M. Saffman, "Multiple-pattern stability in a photorefractive feedback system," Appl. Phys. B 69, 429-433 (1999).
22. M. Schwab, M. Sedlatschek, B. Thüring, C. Denz, and T. Tschudi, "Origin and control of dynamics of hexagonal patterns in a photorefractive feedback system," Chaos, Solitons Fractals 10, 701-707 (1999).
23. P. M. Lushnikov and A. V. Mamaev, "Spontaneous hexagon formation in photorefractive crystal with a single pump wave," Opt. Lett. 24, 1511-1513 (1999).
24. M. Saffman, A. A. Zozulya, and D. Z. Anderson, "Transverse instability of energy exchanging counterpropagating waves in photorefractive media," J. Opt. Soc. Am. B 14, 1754-1760 (1994).
25. T. Honda and P. P. Banerjee, "Threshold for spontaneous pattern formation in reflection-grating-dominated photorefractive media with mirror feedback," Opt. Lett. 21, 779-781 (1996).
26. A. I. Chernykh, B. I. Sturman, M. Aguilar, and F. Agulló-López, "Threshold for pattern formation in a medium with a local photorefractive response," J. Opt. Soc. Am. B 14, 1754-1760 (1997).
27. O. Sandfuchs, J. Leonardy, P. Kaiser, and M. R. Belić, "Transverse instabilities in photorefractive counterpropagating two-wave mixing," Opt. Lett. 22, 498-500 (1997).
28. O. Sandfuchs, F. Kaiser, and M. R. Belić, "Spatiotemporal pattern formation in counterpropagating two-wave mixing with an externally applied field," J. Opt. Soc. Am. B 15, 2070-2078 (1998).
29. P. M. Lushnikov, "Hexagonal optical structures in photorefractive crystals with a feedback mirror," Zh. Eksp. Teor. Fiz. 113, 1122-1135 (1998) [JETP 86, 614-627 (1998)].
30. P. M. Lushnikov, "Hexagonal optical structures in photorefractive crystals with a feedback mirror," Zh. Eksp. Teor. Fiz. 113, 1122-1135 (1998) [JETP 86, 614-627 (1998)].
31. N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, "Holographic storage in photorefractive crystals I+II," Ferroelectrics 22, 949-964 (1979).
32. L. Solymar, D. J. Webb, and A. Grunnet-Jepsen, The Physics and Applications of Photorefractive Materials (Clarendon, Oxford, 1996).
33. 4 it was shown that introduction of an angular misalignment breaks the symmetry and collapses a hexagonal pattern to a roll pattern. Here we see the opposite effect of a hexagonal pattern occurring only in the presence of a misalignment. Since the angular misalignment needed for a sufficient Bragg mismatch for hexagon formation (∼0.1°) is much smaller than the angular scale of the pattern (∼1°), the hexagonal symmetry is not broken.
34. 3 by use of tilted pump waves," Opt. Commun. 72, 129-134 (1989).
35. 3," Phys. Rev. Lett. 55, 821-824 (1985).
36. B. Ya. Zel'dovich, A. V. Mamaev, and V. V. Shkunov, Speckle-Wave Interactions in Application to Holography and Nonlinear Optics (CRC Press, Boca Raton, Fia., 1995), p. 256.