Transition from spatio-temporal order to disorder in a single-feedback experiment

Chaos, solitons and fractals

Volumn 10, Issue 4, 1999, Pages 681-692

  Neubecker, R ^a   Thuring B ^a   Kreuzer, M ^a   Tschudi, T ^a  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; FOCUSING; FUNCTIONS; LIQUID CRYSTALS; OPTICAL SYSTEMS; ORDER DISORDER TRANSITIONS;

AUTOCORRELATION FUNCTIONS; LIQUID CRYSTAL LIGHT VALVE;

NONLINEAR OPTICS;

EID: 0033116079     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(98)00016-2     Document Type: Note

References (28)

1. 1. Special Issue on Transverse effects in nonlinear-optical systems, J. Opt. Soc. Am. B, 1990, 7 (6,7), see review herein by N. B. Abraham and W. J. Firth on pp. 951-962.
2. 2. Rosanov, N. N., Mak, A. A. and Grasiuk, A. Z., eds., Transverse Patterns In Nonlinear Optics, Proc. SPIE 1840, Bellingham, 1992.
3. 3. Lugiato, L. A., Phys. Rep., 1992, 219, 293.
4. 4. Weiss, C. O., Phys. Rep., 1992, 219, 311.
5. 5. Harrison, R. G. and Uppal, J. S., eds., Nonlinear Dynamics And Spatial Complexity In Optical Systems, SUSSP Publications, Edinburgh, 1992.
6. 6. Arecchi, F. T., Space-time complexity in non-linear optics, Phys. D, 1991, 51, 450.
7. 7. Special Issue on Nonlinear optical structures, patterns, chaos, Chaos, Solitons and Fractals, 1994, 4.
8. 8. Manneville, P., Dissipative Structures and Weak Turbulence, Academic Press, San Diego, 1990.
9. 9. Newell, A. C. and Moloney, J. V., Nonlinear Optics, Addison Wesley, Redwood City, 1992.
10. 10. Akhmanov, S. A., Vorontsov, M. A. and Ivanov, V. Yu., Large-scale transverse nonlinear interactions in laser beams: New types of nonlinear waves; onset of 'optical turbulence', JETP Lett., 1988, 47, 707.
11. 11. Akhmanov, S. A., Vorontsov, M. A., Ivanov, V. Yu., Larichev, A. V. and Zheleznykh, N. I., Controlling transverse- Wave interactions in nonlinear optics: Generation and interaction of spatiotemporal structures, J. Opt. Soc. Am. B, 1992, 9(1), 78.
12. 12. Thüring, B., Neubecker, R. and Tschudi, T., Transverse pattern formation in LCLV feedback system, Opt. Commun., 1993, 102 (1,2), 111.
13. 13. Pampaloni, E., Residori, S. and Arecchi, F. T., Roll-hexagon transition in a kerr-like experiment, Europhys. Lett., 1993, 24 (8), 647.
14. 14. Arecchi, F. T., Larichev, A. V. and Vorontsov, M. A., Polygon pattern formation in a nonlinear optical system with 2D feedback, Opt. Commun., 1994, 105 (5,6), 297.
15. 15. Pampaloni, E., Ramazza, P.-L., Residori, S. and Arecchi, F T., Experimental evidence of boundary-induced symmetries in an optical system with a kerr-like non-linearity, Europhys. Lett., 1994, 25 (8), 587.
16. 16. Neubecker, R., Thüring, B. and Tschudi, T., Formation and characterization of hexagonal patterns in a single feedback experiment, Chaos, Solitons and Fractals, 1995, 4, 1307.
17. 17. Neubecker, R., Oppo, G. L., Thüring, B. and Tschudi, T., Pattern formation in a LCLV feedback system including polarization, saturation and internal threshold effects, Phys. Rev. A, 1995, 52 (1), 791.
18. 18. Firth, W. J., Spatial instabilities in a kerr slice with a single feedback mirror, J. Mod. Opt., 1990, 37 (2), 151.
19. 19. D'Alessandro, G. and Firth, W. J., Hexagonal spatial patterns for a kerr slice with a feedback mirror, Phys. Rev. A, 1992, 46 (1), 537.
20. 20. Tamburrini, M., Bonavita, M., Wabnitz, S. and Santamato, E., Hexagonally patterned beam filamentation in a thin liquid-crystal film with single feedback mirror, Opt. Lett., 1993, 18 (11), 855-857.
21. 3, Opt. Lett., 1993, 18 (8), 598-600.
22. 22. Ackemann, T. and Lange, W., Non- and nearly hexagonal patterns in sodium vapor generated by single-mirror feedback, Phys. Rev. A, 1994, 50 (6), R1-R4.
23. 23. Dumarevskii, Yu., Kovtonyuk, N. F., Kompanets, I. N., Parfenov, A. V. and Petrovicheva, G. A., Metal-insulator- Semiconductor-liquid crystal structures, Sov. J. Quantum Electron., 1984, 14 (4), 493.
24. 24. Special Issue on Spatial light modulators, Appl. Opt., 1992, 31 (20).
25. 25. Uzi Efron, ed., Spatial Light Modulator Technique, Marcel Dekker, New York, 1995.
26. 26. Gluckman, B. J., Marcq, P., Bridger, J. and Gollub, J. P., Time averaging of chaotic spatiotemporal wave patterns, Phys. Rev. Lett., 1993, 71 (13), 2034-2037.
27. 27. Ning, L., Hu, Y., Ecke, R. E. and Ahlers, G., Spatial and temporal averages in chaotic patterns, Phys. Rev. Lett., 1993, 71 (14), 2216-2219.
28. 28. Neubecker, R., Characterization of symmetry properties of patterns by generalized autocorrelation functions, Opt. Commun., 1996, 132, 593-605.