Dynamics of localized structures in vectorial waves

Physical Review Letters

Volumn 85, Issue 4, 2000, Pages 744-747

  Hernández García, Emilio ^a   Hoyuelos, Miguel ^a,b   Colet, Pere ^a   Miguel, Maxi San ^a  

^a UNIVERSITAT DE LES ILLES BALEARS   (Spain)

^b UNIVERSIDAD NACIONAL DE MAR DEL PLATA   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

LASER BEAMS; LIGHT EMISSION; LIGHT PROPAGATION; MATHEMATICAL MODELS; NONLINEAR OPTICS; TOPOLOGY;

GINZBURG-LANDAU EQUATION; POLARIZED TRANSVERSE LIGHT WAVES; VECTORIAL WAVES;

LIGHT POLARIZATION;

EID: 0037820647     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.85.744     Document Type: Article

References (32)

1. H. Riecke, in Pattern Formation in Continuous and Coupled Systems, edited by M. Golubitsky, D. Luss, and S. H. Strogatz (Springer, New York, 1999); L. M. Pismen, Vortices in Nonlinear Fields (Oxford University Press, New York, 1999).
2. H. Riecke, in Pattern Formation in Continuous and Coupled Systems, edited by M. Golubitsky, D. Luss, and S. H. Strogatz (Springer, New York, 1999); L. M. Pismen, Vortices in Nonlinear Fields (Oxford University Press, New York, 1999).
3. M. van Hecke, Phys. Rev. Lett. 80, 1896 (1998).
4. A. Amengual et al., Phys. Rev. Lett. 78, 4379 (1997).
5. F. T. Arecchi et al., Phys. Rev. Lett. 67, 3749 (1991); C. O. Weiss et al., Appl. Phys. B 68, 151 (1999); N. N. Rosanov, in Progress in Optics, edited by E. Wolf (North-Holland, Amsterdam, 1996), Vol. 35; M. Brambilla et al., Phys. Rev. Lett. 79, 2042 (1997); M. Tlidi, P. Mandel, and R. Lefever, Phys. Rev. Lett. 73, 640 (1994); W. Firth and A. J. Scroggie, Phys. Rev. Lett. 76, 1623 (1996); C. Etrich, U. Peschel, and F. Lederer, Phys. Rev. Lett. 79, 2454 (1997); K. Staliunas and V. J. Sánchez-Morcillo, Phys. Rev. A 57, 1454 (1998); G. L. Oppo, A. J. Scroggie, and W. J. Firth, J. Opt. B 1, 133 (1999).
6. F. T. Arecchi et al., Phys. Rev. Lett. 67, 3749 (1991); C. O. Weiss et al., Appl. Phys. B 68, 151 (1999); N. N. Rosanov, in Progress in Optics, edited by E. Wolf (North-Holland, Amsterdam, 1996), Vol. 35; M. Brambilla et al., Phys. Rev. Lett. 79, 2042 (1997); M. Tlidi, P. Mandel, and R. Lefever, Phys. Rev. Lett. 73, 640 (1994); W. Firth and A. J. Scroggie, Phys. Rev. Lett. 76, 1623 (1996); C. Etrich, U. Peschel, and F. Lederer, Phys. Rev. Lett. 79, 2454 (1997); K. Staliunas and V. J. Sánchez-Morcillo, Phys. Rev. A 57, 1454 (1998); G. L. Oppo, A. J. Scroggie, and W. J. Firth, J. Opt. B 1, 133 (1999).
7. F. T. Arecchi et al., Phys. Rev. Lett. 67, 3749 (1991); C. O. Weiss et al., Appl. Phys. B 68, 151 (1999); N. N. Rosanov, in Progress in Optics, edited by E. Wolf (North-Holland, Amsterdam, 1996), Vol. 35; M. Brambilla et al., Phys. Rev. Lett. 79, 2042 (1997); M. Tlidi, P. Mandel, and R. Lefever, Phys. Rev. Lett. 73, 640 (1994); W. Firth and A. J. Scroggie, Phys. Rev. Lett. 76, 1623 (1996); C. Etrich, U. Peschel, and F. Lederer, Phys. Rev. Lett. 79, 2454 (1997); K. Staliunas and V. J. Sánchez-Morcillo, Phys. Rev. A 57, 1454 (1998); G. L. Oppo, A. J. Scroggie, and W. J. Firth, J. Opt. B 1, 133 (1999).
8. F. T. Arecchi et al., Phys. Rev. Lett. 67, 3749 (1991); C. O. Weiss et al., Appl. Phys. B 68, 151 (1999); N. N. Rosanov, in Progress in Optics, edited by E. Wolf (North-Holland, Amsterdam, 1996), Vol. 35; M. Brambilla et al., Phys. Rev. Lett. 79, 2042 (1997); M. Tlidi, P. Mandel, and R. Lefever, Phys. Rev. Lett. 73, 640 (1994); W. Firth and A. J. Scroggie, Phys. Rev. Lett. 76, 1623 (1996); C. Etrich, U. Peschel, and F. Lederer, Phys. Rev. Lett. 79, 2454 (1997); K. Staliunas and V. J. Sánchez-Morcillo, Phys. Rev. A 57, 1454 (1998); G. L. Oppo, A. J. Scroggie, and W. J. Firth, J. Opt. B 1, 133 (1999).
9. F. T. Arecchi et al., Phys. Rev. Lett. 67, 3749 (1991); C. O. Weiss et al., Appl. Phys. B 68, 151 (1999); N. N. Rosanov, in Progress in Optics, edited by E. Wolf (North-Holland, Amsterdam, 1996), Vol. 35; M. Brambilla et al., Phys. Rev. Lett. 79, 2042 (1997); M. Tlidi, P. Mandel, and R. Lefever, Phys. Rev. Lett. 73, 640 (1994); W. Firth and A. J. Scroggie, Phys. Rev. Lett. 76, 1623 (1996); C. Etrich, U. Peschel, and F. Lederer, Phys. Rev. Lett. 79, 2454 (1997); K. Staliunas and V. J. Sánchez-Morcillo, Phys. Rev. A 57, 1454 (1998); G. L. Oppo, A. J. Scroggie, and W. J. Firth, J. Opt. B 1, 133 (1999).
10. F. T. Arecchi et al., Phys. Rev. Lett. 67, 3749 (1991); C. O. Weiss et al., Appl. Phys. B 68, 151 (1999); N. N. Rosanov, in Progress in Optics, edited by E. Wolf (North-Holland, Amsterdam, 1996), Vol. 35; M. Brambilla et al., Phys. Rev. Lett. 79, 2042 (1997); M. Tlidi, P. Mandel, and R. Lefever, Phys. Rev. Lett. 73, 640 (1994); W. Firth and A. J. Scroggie, Phys. Rev. Lett. 76, 1623 (1996); C. Etrich, U. Peschel, and F. Lederer, Phys. Rev. Lett. 79, 2454 (1997); K. Staliunas and V. J. Sánchez-Morcillo, Phys. Rev. A 57, 1454 (1998); G. L. Oppo, A. J. Scroggie, and W. J. Firth, J. Opt. B 1, 133 (1999).
11. F. T. Arecchi et al., Phys. Rev. Lett. 67, 3749 (1991); C. O. Weiss et al., Appl. Phys. B 68, 151 (1999); N. N. Rosanov, in Progress in Optics, edited by E. Wolf (North-Holland, Amsterdam, 1996), Vol. 35; M. Brambilla et al., Phys. Rev. Lett. 79, 2042 (1997); M. Tlidi, P. Mandel, and R. Lefever, Phys. Rev. Lett. 73, 640 (1994); W. Firth and A. J. Scroggie, Phys. Rev. Lett. 76, 1623 (1996); C. Etrich, U. Peschel, and F. Lederer, Phys. Rev. Lett. 79, 2454 (1997); K. Staliunas and V. J. Sánchez-Morcillo, Phys. Rev. A 57, 1454 (1998); G. L. Oppo, A. J. Scroggie, and W. J. Firth, J. Opt. B 1, 133 (1999).
12. F. T. Arecchi et al., Phys. Rev. Lett. 67, 3749 (1991); C. O. Weiss et al., Appl. Phys. B 68, 151 (1999); N. N. Rosanov, in Progress in Optics, edited by E. Wolf (North-Holland, Amsterdam, 1996), Vol. 35; M. Brambilla et al., Phys. Rev. Lett. 79, 2042 (1997); M. Tlidi, P. Mandel, and R. Lefever, Phys. Rev. Lett. 73, 640 (1994); W. Firth and A. J. Scroggie, Phys. Rev. Lett. 76, 1623 (1996); C. Etrich, U. Peschel, and F. Lederer, Phys. Rev. Lett. 79, 2454 (1997); K. Staliunas and V. J. Sánchez-Morcillo, Phys. Rev. A 57, 1454 (1998); G. L. Oppo, A. J. Scroggie, and W. J. Firth, J. Opt. B 1, 133 (1999).
13. F. T. Arecchi et al., Phys. Rev. Lett. 67, 3749 (1991); C. O. Weiss et al., Appl. Phys. B 68, 151 (1999); N. N. Rosanov, in Progress in Optics, edited by E. Wolf (North-Holland, Amsterdam, 1996), Vol. 35; M. Brambilla et al., Phys. Rev. Lett. 79, 2042 (1997); M. Tlidi, P. Mandel, and R. Lefever, Phys. Rev. Lett. 73, 640 (1994); W. Firth and A. J. Scroggie, Phys. Rev. Lett. 76, 1623 (1996); C. Etrich, U. Peschel, and F. Lederer, Phys. Rev. Lett. 79, 2454 (1997); K. Staliunas and V. J. Sánchez-Morcillo, Phys. Rev. A 57, 1454 (1998); G. L. Oppo, A. J. Scroggie, and W. J. Firth, J. Opt. B 1, 133 (1999).
14. R. Bhandari, Phys. Rep. 281, 1 (1997).
15. J. V. Hajnal, Proc. R. Soc. London A 414, 433 (1987); 414, 447 (1987).
16. J. V. Hajnal, Proc. R. Soc. London A 414, 433 (1987); 414, 447 (1987).
17. L. M. Pismen, Phys. Rev. Lett. 72, 2557 (1994); Physica (Amsterdam) 73D, 244 (1994).
18. L. M. Pismen, Phys. Rev. Lett. 72, 2557 (1994); Physica (Amsterdam) 73D, 244 (1994).
19. L. Gil, Phys. Rev. Lett. 70, 162 (1993).
20. M. San Miguel, Phys. Rev. Lett. 75, 425 (1995).
21. R. Graham and D. Walls, Phys. Rev. A 57, 484 (1998).
22. M. van Hecke, C. Storm, and W. van Saarloos, Physica (Amsterdam) 134D, 1 (1999).
23. E. Hernández-García et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 9, 2257 (1999).
24. H. Chaté and P. Manneville, Physica (Amsterdam) 224A, 348 (1996).
25. P. S. Hagan, SIAM J. Appl. Math. 42, 762 (1982).
26. We use a numerical pseudospectral method with second order accuracy in time [20] in lattices of size 128 × 128. The spatial and temporal discretizations were Δχ = 1, and Δt = 0.05.
27. R. Montagne et al., Physica (Amsterdam) 96D, 47 (1996).
28. I. S. Aranson, L. Kramer, and A. Weber, Phys. Rev. E 47, 3231 (1993); 48, R9 (1993).
29. I. S. Aranson, L. Kramer, and A. Weber, Phys. Rev. E 47, 3231 (1993); 48, R9 (1993).
30. M. Hendrey et al., Phys. Rev. Lett. 82, 859 (1999).
31. I. S. Aranson et al., Phys. Rev. A 46, R2992 (1992).
32. M. Hoyuelos et al., Comput. Phys. Commun. 121-122, 414 (1999).