Computationally determined existence and stability of transverse structures. II. Multipeaked cavity solitons

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 66, Issue 4, 2002, Pages 8-

  McSloy, J M ^a   Firth, W J ^a   Harkness, G K ^a   Oppo, G L ^a  

^a UNIVERSITY OF STRATHCLYDE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; FOURIER TRANSFORMS; LAPLACE TRANSFORMS; LINEARIZATION; OPTICAL KERR EFFECT; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS;

ATOMIC TRANSITION; KERR MEDIA; OPTICAL PATTERNS; SPATIAL DERIVATIVES;

OPTICAL SYSTEMS;

ARTICLE;

EID: 41349107344     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.046606     Document Type: Article

References (37)

1. G.K. Harkness, W.J. Firth, G.-L. Oppo, and J.M. McSloy, Phys. Rev. A 66, 046605 (2002).
2. A.G. Vladimirov, J.M. McSloy, D.V. Skryabin, and W.J. Firth, Phys. Rev. E 65, 046606 (2002).
3. G.I.A. Stegman, D.N. Christodoulides, and M. Segev, IEEE J. Sel. Top. Quantum Electron. 6, 1419 (2000).
4. W.J. Firth, Soliton-Driven Photonics, edited by A.D. Boardman and A. P. Sukhorukov (Kluwer Academic Publishers, London, 2001), pp. 459–485.
5. G.S. McDonald and W.J. Firth, J. Opt. Soc. Am. B 7, 1328 (1990).
6. A.N. Rakhmanov, Opt. Spektrosk. 74, 701 (1993).
7. W.J. Firth and A.J. Scroggie, Phys. Rev. Lett. 76, 1623 (1996).
8. W.J. Firth, A. Lord, and A.J. Scroggie, Phys. Scr., T67, 12 (1996).
9. N.N. Rosanov, Prog. Opt. 35, 1 (1996);see, also, N.N. Rosanov, Spatial Hysteresis and Optical Patterns (Springer-Verlag, Heidelberg, 2002).
10. L. Spinelli, G. Tissoni, M. Brambilla, F. Prati, and L. Lugiato, Phys. Rev. A 58, 2542 (1998).
11. Processing of Information by Arrays of Nonlinear Optical Solitons homepage, www.pianos-int.org
12. B.A. Samson and M.A. Vorontsov, Phys. Rev. A 56, 1621 (1997).
13. A.J. Scroggie, G.-L. Oppo, and W.J. Firth, Optical Sprinklers (CLEO/Europe-IQEC, 2000).
14. T. Maggipinto, M. Brambilla, G.K. Harkness, and W.J. Firth, Phys. Rev. E 62, 8726 (2000).
15. A.J. Scroggie, J.M. McSloy, and W.J. Firth, Phys. Rev. E 66, 036607 (2002).
16. L.A. Lugiato and R. Lefever, Phys. Rev. Lett. 58, 2209 (1987).
17. G.-L. Oppo, A.J. Scroggie, and W.J. Firth, Phys. Rev. E 63, 066209 (2001).
18. W.J. Firth and C.O. Weiss, Opt. Photonics News 26, 54 (2002).
19. A.N. Rakhmanov and V.I. Shmalhausen, Proc. SPIE 2108, 428 (1993).
20. A. Schreiber, B. Thüring, M. Kreuzer, and T. Tschudi, Opt. Commun. 136, 415 (1997).
21. B. Schäpers, M. Feldmann, T. Ackemann, and W. Lange, Phys. Rev. Lett. 85, 748 (2000).
22. V.B. Taranenko, C.O. Weiss, and B. Schäpers, Phys. Rev. A 65, 013812 (2001).
23. W.J. Firth and A.J. Scroggie, Europhys. Lett. 26, 521 (1994).
24. G.K. Harkness, W.J. Firth, and G.-L. Oppo, in Proceedings of International Quantum Electronic Conference, Nice, 2000.
25. R. Martin, A.J. Scroggie, G.-L. Oppo, and W.J. Firth, Phys. Rev. Lett. 77, 4007 (1996).
26. I.V. Barashenkov, Yu.S. Smirnov, and N.V. Alexeeva, Phys. Rev. E 57, 2350 (1998).
27. J.M. Soto-Crespo, N. Akhmediev, and K.S. Chiang, Phys. Lett. A 291, 115 (2001).
28. Y. Pomeau, Physica D 23, 3 (1986).
29. P. Coullet, C. Riera, and C. Tresser, Phys. Rev. Lett. 84, 3069 (2000).
30. L.A. Lugiato and C. Oldano, Phys. Rev. A 37, 3896 (1988).
31. W.J. Firth and G.K. Harkness, Asian J. Phys. 7, 665 (1998).
32. W.H. Press, S.A. Teukolsky, W.T. Vetterling, and B.P. Flannery, Numerical Recipes—The Art of Scientific Computing, 2nd ed. (Cambridge University Press, Cambridge, 1993).
33. N. Köckler, Numerical Methods and Scientific Computing (Oxford University Press, Oxford, 1994).
34. ARPACK–Arnoldi Package, www.caam.rice.edu/software/ARPACK
35. R.B. Lehoucq, D.C. Sorensen, and C. Yang, Solutions of Large Scale Eigenvalue Problems with Implicitly Restarted Arnoldi Methods (Rice University, Houston, 1997).
36. W.J. Firth (unpublished).
37. S. Longhi, Phys. Rev. E 55, 1060 (1997).