Fusion of necklace-ring patterns into vortex and fundamental solitons in dissipative media

Optics Express

Volumn 15, Issue 26, 2007, Pages 17502-17508

  He, Y J ^a,b   Malomed, Boris A ^c   Wang, H Z ^a  

^a SUN YAT SEN UNIVERSITY   (China)

^b GUANGDONG POLYTECHNIC NORMAL UNIVERSITY   (China)

^c TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; LIGHT; TOPOLOGY;

GINZBURG-LANDAU EQUATION; NECKLACE-RING PATTERNS;

NONLINEAR OPTICS;

ARTICLE; COMPUTER SIMULATION; INSTRUMENTATION; LIGHT; METHODOLOGY; PHOTOMETRY; RADIATION SCATTERING; REFRACTOMETRY; THEORETICAL MODEL;

COMPUTER SIMULATION; LIGHT; MODELS, THEORETICAL; NEPHELOMETRY AND TURBIDIMETRY; REFRACTOMETRY; SCATTERING, RADIATION;

EID: 37549017761     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.15.017502     Document Type: Article

References (42)

1. I. S. Aranson and L. Kramer, "The world of the complex Ginzburg-Landau equation", Rev. Mod. Phys. 74, 99-143 (2002).
2. N. N. Rosanov, Spatial Hysteresis and Optical Patterns (Springer-Verlag, 2002).
3. B. A. Malomed, "Complex Ginzburg-Landau equation," in Encyclopedia of Nonlinear Science, A. Scott, ed., (Routledge, New York, 2005) pp. 157-160;
4. "Solitary pulses in linearly coupled Ginzburg-Landau equations," Chaos 17, 037117 (2007).
5. N. Akhmediev and A. Ankiewicz, "Dissipative Solitons," Lecture Notes in Physics (Springer, Berlin, 2005) Vol. 661.
6. B. A. Malomed, "Bound solitons in the nonlinear Schrödinger- Ginzburg-Landau equation," Phys. Rev. A 44, 6954 (1991).
7. Z. Chen, H. Martin, E. D. Eugenieva, J. Xu, and J. Yang, "Formation of discrete solitons in light-induced photonic lattices," Opt. Express 13, 1816 (2005).
8. A. S. Desyatnikov and Yu. S. Kivshar, "Rotating optical soliton clusters," Phys. Rev. Lett. 88, 053901 (2002).
9. Y. V. Kartashov, L.-C. Crasovan, D. Mihalache, and L. Tomer, "Robust propagation of two-color soliton clusters supported by competing nonlinearities." Phys. Rev. Lett. 89, 273902 (2002).
10. J. J. Garcia-Ripoll, V. M. Perez-Garcia, E. A. Ostrovskaya, and Y. S. Kivshar, "Dipole-mode vector solitons," Phys. Rev. Lett. 85, 82-85 (2000).
11. D. Neshev, W. Krolikowski, D. E. Pelinovsky, G. McCarthy, and Y. S. Kivshar, "Transverse instability of vector solitons and generation of dipole arrays," Phys. Rev. Lett. 87, 103903 (2001).
12. T. Carmon, R. Uzdin, C. Pigier, Z. H. Musslimani, M. Segev, and A. Nepomnyashchy, "Rotating propeller solitons," Phys. Rev. Lett. 87, 143901 (2001).
13. Y. V. Kartashov, R. Carretero-González, B. A. Malomed, V. A. Vysloukh, and L. Tomer, "Multipole-mode solitons in Bessel optical lattices," Opt. Express 13, 10703 (2005).
14. Y. J. He and H. Z. Wang, "(l+l)-dimensional dipole solitons supported by optical lattice," Opt. Express 14, 9832-9837 (2006).
15. M. Soljǎcić, S. Sears, and M. Segev, "Self-trapping of 'necklace' beams in self-focusing Kerr media," Phys. Rev. Lett. 81, 4851 (1998);
16. "Integer and fractional angular momentum borne on self-trapped necklace-ring beams," ibid. 86, 420 (2001).
17. D. Mihalache, D. Mazilu, L.-C. Crasovan, B. A. Malomed, F. Lederer, and L. Tomer, "Robust soliton clusters in media with competing cubic and quintic nonlinearities," Phys. Rev. E 68, 046612 (2003).
18. J. Yang, I. Makasyuk, P. G. Kevrekidis, H. Martin, B. A. Malomed, D. J. Frantzeskakis, and Z. Chen, "Necklace-like solitons in optically induced photonic lattices," Phys. Rev. Lett. 94, 113902 (2005).
19. L.-C. Crasovan, B. A. Malomed, and D. Mihalache, "Stable vortex solitons in the two-dimensional Ginzburg-Landau equation," Phys. Rev. E 63, 016605 (2001).
20. D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L.-C. Crasovan, L. Tomer, and B. A. Malomed, "Stable vortex tori in the three-dimensional cubic-quintic Ginzburg-Landau equation," Phys. Rev. Lett. 97, 073904 (2006).
21. D. Mihalache, D. Mazilu, F. Lederer, H. Leblond, and B. A. Malomed, "Stability of dissipative optical solitons in the three-dimensional cubic-quintic Ginzburg-Landau equation," Phys. Rev. A 75, 033811 (2007);
22. "Stability limits for three-dimensional vortex solitons in the Ginzburg-Landau equation with the cubic-quintic nonlinearity," ibid. A 76, 045803 (2007).
23. D. V. Skryabin and A. G. Vladimirov, "Vortex-induced rotation of clusters of localized states in the complex Ginzburg-Landau equation," Phys. Rev. Lett. 89, 044101 (2002).
24. Y. J. He, H. H. Fan, J. W. Dong, and H. Z. Wang, "Self-trapped spatiotemporal necklace-ring solitons in the Ginzburg-Landau equation," Phys. Rev. E 74, 016611 (2006).
25. J. Lega, J. V. Moloney, and A. C. Newell, "Swift-Hohenberg equation for lasers," Phys. Rev. Lett. 73, 2978 (1994).
26. F. Smektala, C. Quemard, V. Couderc, and A. Barthelemy, "Non-linear optical properties of chalcogenide glasses measured by Z-scan," J. Non-Cryst. Solids 274, 232-237 (2000).
27. G. Boudebs, S. Cherukulappurath, H. Leblond, J. Troles, F. Smektala, and F. Sanchez, "Experimental and theoretical study of higher-order nonlinearities in chalcogenide glasses," Opt. Commun. 219, 427-433 (2003).
28. C. Zhan, D. Zhang, D. Zhu, D. Wang, Y. Li, D. Li, Z. Lu, L. Zhao, and Y. Nie, "Third- and fifth-order optical nonlinearities in a new stilbazolium derivative," J. Opt. Soc. Am. B 19, 369-375 (2002).
29. N. N. Rosanov, S. V. Fedorov, and A. N. Shatsev, "Motion of clusters of weakly coupled two-dimensional cavity solitons," JETP 102, 547-555 (2006);
30. "Curvilinear motion of multivortex laser-soliton complexes with strong and weak coupling," Phys. Rev. Lett. 95, 053903 (2005).
31. S. V. Fedorov, N. N. Rosanov, and A. N. Shatsev, "Two-dimensional solitons in B-class lasers with saturable absorption," Opt. Spectra. 102, 449-455 (2007).
32. B. A. Malomed, "Potential of interaction between two- and three-dimensional solitons," Phys. Rev. E 58, 7928-7933 (1998).
33. B. Kneer, T. Wong, K. Vogel, W. P. Schleich, and D. F. Walls, "Generic model of an atom laser," Phys. Rev. A 58, 4841 (1998).
34. H. J. Miesner, D. M. Stamper-Kurn, M. R. D. S. Durfee, S. Inouye, and W. Ketterle, "Bosonic stimulation in the formation of a Bose-Einstein condensate," Science 279, 1005-1007 (1998).
35. E. W. Hagley, L. Deng, M. Kozuma, J. Wen, K. Helmerson, S. L. Rolston, and W. D. Phillips, "A well-collimated quasi-continuous atom laser," ibid. 283, 1706-1709 (1999).
36. P. D. Drummond, K. V. Kheruntsyan and H. He, "Novel solitons in parametric amplifiers and atom lasers," J. Opt. B: Quantum Semiclassical Opt. 1, 387-395 (1999).
37. D. Schneble, Y. Torii, M. Boyd, E. W. Streed, D. E. Pritchard, and W. Ketterle, "The onset of matter-wave amplification in a superradiant Bose-Einstein condensate," Science 300, 475-478 (2003).
38. L. D. Carr and J. Brand, "Pulsed atomic soliton laser," Phys. Rev. A 70, 033607 (2004).
39. M. I. Rodas-Verde, H. Michinel, and V. M. Pérez-García, "Controllable soliton emission from a Bose-Einstein condensate," Phys. Rev. Lett. 95, 153903 (2005).
40. P. Y. P. Chen and B. A. Malomed, "A model of a dual-core matter-wave soliton laser," J. Phys. B 38, 4221-4234 (2005);
41. "Stable circulation modes in a dual-core matter-wave soliton laser," ibid. 39, 2803-2813 (2006).
42. A. V. Carpentier, H. Michinel, M. I. Rodas-Verde, and V. M. Perez-Garcia, "Analysis of an atom laser based on the spatial control of the scattering length," Phys. Rev. A 74, 013619 (2006).