Modulated optical structures over a modulationally stable medium

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 72, Issue 2, 2005, Pages

  Durniak, Cãline ^a   Taki, Majid ^a   Tlidi, Mustapha ^b   Ramazza, Pier Luigi ^c   Bortolozzo, Umberto ^c   Kozyreff, Gregory ^d  

^a UNIVERSITÉ DES SCIENCES ET TECHNOLOGIES DE LILLE   (France)

^b UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

^c ISTITUTO NAZIONALE DI OTTICA   (Italy)

^d UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BISTABILITY CYCLE; LIQUID CRYSTAL LIGHT VALVE; TURING INSTABILITY;

LIQUID CRYSTALS; THRESHOLD ELEMENTS; TURING MACHINES; VALVES (MECHANICAL);

OPTICAL SYSTEMS;

EID: 27244446881     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.72.026607     Document Type: Article

References (36)

1. M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.65.851 65, 851 (1993);
2. J. D. Murray, Mathematical Biology, (Springer, Berlin, 1993).
3. L. A. Lugiato, M. Brambilla, and A. Gatti, Adv. At., Mol., Opt. Phys. AAMPE9 1049-250X 40, 229 (1998);
4. W. Lange and T. Ackermann, J. Opt. B: Quantum Semiclassical Opt. JOBOFD 1464-4266 10.1088/1464-4266/2/3/319 2, 347 (2000);
5. K. Staliunas and V. J. Sanchez-Morcillo, Transverse Patterns in Nonlinear Optical Resonators, (Springer-Verlag, Berlin, 2003);
6. P. Mandel and M. Tlidi, J. Opt. B: Quantum Semiclassical Opt. JOBOFD 1464-4266 10.1088/1464-4266/6/9/R02 6, R60 (2004);
7. P. Mandel and M. Tlidi, Dissipative Solitons, Lecture Notes in Physics Vol. 66, edited by, N. Akhmediev, and, A. Ankiewicz, (Springer, Berlin, 2005).
8. N. N. Rosanov, in Spatial Hysteresis and Optical Patterns (Springer, Berlin, 2002).
9. S. A Akhmanov, M. A. Vorontsov, and V. Yu. Ivanov, JETP Lett. JTPLA2 0021-3640 47, 25 (1988);
10. G. DâAlessandro and W. J. Firth, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.66.2597 66, 2597 (1991).
11. E. Pampaloni, P. L. Ramazza, S. Residori, and F. T. Arecchi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.258 74, 258 (1995).
12. E. Benkler, M. Kreuzer, R. Neubecker, and T. Tschudi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.879 84, 879 (2000).
13. A. Schreiber, B. Thuering, M. Kreuzer, and T. Tschudi, Opt. Commun. OPCOB8 0030-4018 10.1016/S0030-4018(96)00722-5 136, 415 (1997).
14. P. L. Ramazza, U. Bortolozzo, and L. Pastur, J. Opt. A, Pure Appl. Opt. JOAOF8 1464-4258 10.1088/1464-4258/6/5/025 6, S266 (2004).
15. E. Louvergneaux, C. Szwaj, G. Agez, P. Glorieux, and M. Taki, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.043901 92, 043901 (2004).
16. U. Bortolozzo, L. Pastur, P. L. Ramazza, M. Tlidi, and G. Kozyreff, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.253901 93, 253901 (2004).
17. L. A. Lugiato and R. Lefever, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.58.2209 58, 2209 (1987).
18. G. T. Dee and W. van Saarloos, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.60.2641 60, 2641 (1988);
19. W. van Saarloos, Phys. Rep. PRPLCM 0370-1573 286, 29 (2003).
20. N. N. Rosanov and G. V. Khodova, Opt. Spectrosc. OPSUA3 0030-400X 65, 1399 (1988);
21. N. N. Rosanov, in Progress in Optics, edited by, E. Wolf, (Elsevier, Amsterdam, 1996), Vol. 35.
22. M. Santagiustina, P. Colet, M. San Miguel, and D. Walgraef, Opt. Lett. OPLEDP 0146-9592 23, 1167 (1998);
23. M. Taki, M. San Miguel, and M. Santagiustina, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.61.2133 61, 2133 (2000).
24. R. Neubecker, G. L. Oppo, B. Thuering, and T. Tschudi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.52.791 52, 791 (1995).
25. G. Kozyreff, S. J. Chapman, and M. Tlidi, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.015201 68, 015201 (R) (2003);
26. G. Kozyreff and M. Tlidi, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.066202 69, 066202 (2004).
27. P. Mandel, M. Georgiou, and T. Erneux, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.47.4277 47, 4277 (1993).
28. S. Residori, A. Petrossian, T. Nagaya, and M. Clerc, J. Opt. B: Quantum Semiclassical Opt. JOBOFD 1464-4266 10.1088/1464-4266/6/5/002 6, S169 (2004);
29. M. G. Clerc, A. Petrossian, and S. Residori, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.015205 71, 015205 (R) (2005).
30. R. J. Briggs, Electron-Stream Interaction in Plasmas (MIT Press, Cambridge, MA, 1964).
31. L. Brevdo, J. Appl. Math. Phys. (ZAMP) 42, 911 (1991).
32. M. Santagiustina, P. Colet, M. San Miguel, and D. Walgraef, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.3633 79, 3633 (1997);
33. M. Santagiustina, P. Colet, M. San Miguel, and D. Walgraef, J. Opt. B: Quantum Semiclassical Opt. JOBOFD 1464-4266 10.1088/1464-4266/1/1/033 1, 191 (1999).
34. H. Ward, M. Taki, and P. Glorieux, Opt. Lett. OPLEDP 0146-9592 27, 348 (2003);
35. H. Ward, M. N. Ouarzazi, M. Taki, and P. Glorieux, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.016604 63, 016604 (2000).
36. C. M. Bender and S. A. Orszag, Advanced Mathematical Methods for Scientists and Engineers (Springer-Verlag, New York, 1999).