Generation of arrays of spatiotemporal dissipative solitons by the phase modulation of a broad beam

Journal of the Optical Society of America B: Optical Physics

Volumn 27, Issue 6, 2010, Pages 1266-1271

  He, Yingji ^a,b   Malomed, Boris A ^c   Mihalache, Dumitru ^d   Ye, Fangwei ^a   Hu, Bambi ^a,e  

^a HONG KONG BAPTIST UNIVERSITY   (Hong Kong)

^b GUANGDONG POLYTECHNIC NORMAL UNIVERSITY   (China)

^c TEL AVIV UNIVERSITY   (Israel)

^d HORIA HULUBEI NATIONAL INSTITUTE OF PHYSICS AND NUCLEAR ENGINEERING   (Romania)

^e University of Houston   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

SOLITONS;

BROAD BEAMS; CRYSTALLINE ARRAYS; DISSIPATIVE SOLITONS; GINZBURG-LANDAU MODELS; PERIODIC MODULATION; PHASE MASKS; QUINTIC; SIMPLE METHOD; SPATIOTEMPORAL PULSE; SPATIOTEMPORAL SOLITONS; TRANSVERSE PLANES;

PHASE MODULATION;

EID: 77955682274     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.27.001266     Document Type: Article

References (46)

1. Y. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic, 2003).
2. M. Soljačić, S. Sears, and M. Segev, "Self-trapping of "necklace" beams in self-focusing Kerr media," Phys. Rev. Lett. 81, 4851-4854 (1998).
3. A. S. Desyatnikov and Y. S. Kivshar, "Necklace-ring vector solitons," Phys. Rev. Lett. 87, 033901 (2001).
4. Y. V. Kartashov, L. C. Crasovan, D. Mihalache, and L. Torner, "Robust propagation of two-color soliton clusters supported by competing nonlinearities," Phys. Rev. Lett. 89, 273902 (2002).
5. D. Mihalache, D. Mazilu, L.-C. Crasovan, B. A. Malomed, F. Lederer, and L. Torner, "Robust soliton clusters in media with competing cubic and quintic nonlinearities," Phys. Rev. E 68, 046612 (2003).
6. A. S. Desyatnikov and Y. S. Kivshar, "Rotating optical soliton clusters," Phys. Rev. Lett. 88, 053901 (2002).
7. Y. J. He, B. A. Malomed, and H. Z. Wang, "Fusion of necklace-ring patterns into vortex and fundamental solitons in dissipative media," Opt. Express 15, 17502-17508 (2007).
8. 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).
9. J. Ruostekoski and J. R. Anglin, "Creating vortex rings and three-dimensional skyrmions in Bose-Einstein condensates," Phys. Rev. Lett. 86, 3934-3937 (2001).
10. R. A. Battye, N. R. Cooper, and P. M. Sutcliffe, "Stable skyrmions in two-component Bose-Einstein condensates," Phys. Rev. Lett. 88, 080401 (2002).
11. E. Pampaloni, P. L. Ramazza, S. Residori, and F. T. Arecchi, "Two-dimensional crystals and quasicrystals in nonlinear optics," Phys. Rev. Lett. 74, 258-261 (1995).
12. W. J. Firth and A. J. Scroggie, "Optical bullet holes: robust controllable localized states of a nonlinear cavity," Phys. Rev. Lett. 76, 1623-1626 (1996).
13. L. Spinelli, G. Tissoni, M. Brambilla, F. Prati, and L. A. Lugiato, "Spatial solitons in semiconductor microcavities," Phys. Rev. A 58, 2542-2559 (1998).
14. Z. Chen and K. McCarthy, "Spatial soliton pixels from partially incoherent light," Opt. Lett. 27, 2019-2021 (2002).
15. S. Barland, J. R. Tredicce, M. Brambilla, L. A. Lugiato, S. Balle, M. Giudici, T. Maggipinto, L. Spinelli, G. Tissoni, T. Knödl, M. Miller, and R. Jäger, "Cavity solitons as pixels in semiconductor microcavities," Nature 419, 699-702 (2002). (Pubitemid 35177950)
16. J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of two-dimensional discrete solitons in optically-induced nonlinear photonic lattices," Nature 422, 147-150 (2003).
17. Y. V. Kartashov, A. A. Egorov, L. Torner, and D. N. Christodoulides, "Stable soliton complexes in twodimensional photonic lattices," Opt. Lett. 29, 1918-1920 (2004).
18. B. Freedman, G. Bartal, M. Segev, R. Lifshitz, D. N. Christodoulides, and J. W. Fleischer, "Wave and defect dynamics in nonlinear photonic quasicrystals," Nature 440, 1166-1169 (2006).
19. B. Freedman, R. Lifshitz, J. W. Fleischer, and M. Segev, "Phason dynamics in nonlinear photonic quasicrystals," Nat. Mater. 6, 776-781 (2007).
20. X. Wang, A. Samodurov, and Z. Chen, "Demonstration of surface soliton arrays at the edge of a two-dimensional photonic lattice," Opt. Lett. 33, 1240-1242 (2008).
21. M. Heinrich, Y. V. Kartashov, A. Szameit, F. Dreisow, R. Keil, S. Nolte, A. Tünnermann, V. A. Vysloukh, and L. Torner, "Observation of two-dimensional coherent surface vector lattice solitons," Opt. Lett. 34, 1624-1626 (2009).
22. C. Cleff, B. Gütlich, and C. Denz, "Gradient induced motion control of drifting solitary structures in a nonlinear optical single feedback experiment," Phys. Rev. Lett. 100, 233902 (2008).
23. B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, "Spatiotemporal optical solitons," J. Opt. B: Quantum Semiclassical Opt. 7, R53-R72 (2005).
24. D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L.-C. Crasovan, L. Torner, and B. A. Malomed, "Stable vortex tori in the three-dimensional cubic-quintic Ginzburg-Landau equation," Phys. Rev. Lett. 97, 073904 (2006).
25. 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).
26. D. Mihalache, D. Mazilu, F. Lederer, H. Leblond, and B. A. Malomed, "Stability limits for three-dimensional vortex solitons in the Ginzburg-Landau equation with the cubicquintic nonlinearity," Phys. Rev. A 76, 045803 (2007).
27. L.-C. Crasovan, Y. V. Kartashov, D. Mihalache, L. Torner, Y. S. Kivshar, and V. M. Perez-Garcia, "Soliton 'molecules': robust clusters of spatiotemporal optical solitons," Phys. Rev. E 67, 046610 (2003).
28. D. Mihalache, D. Mazilu, L.-C. Crasovan, B. A. Malomed, F. Lederer, and L. Torner, "Soliton clusters in threedimensional media with competing cubic and quintic nonlinearities," J. Opt. B: Quantum Semiclassical Opt. 6, S333-S340 (2004).
29. Y. J. He, H. H. Fan, J. W. Dong, and H. Z. Wang, "Selftrapped spatiotemporal necklace-ring solitons in the Ginzburg-Landau equation," Phys. Rev. E 74, 016611 (2006).
30. W. L. Zhu, L. Luo, J. H. Yan, and Y. J. He, "Stable spatiotemporal dissipative soliton clusters in the complex Ginzburg-Landau equation," J. Mod. Opt. 56, 1824-1828 (2009).
31. I. S. Aranson and L. Kramer, "The world of the complex Ginzburg-Landau equation," Rev. Mod. Phys. 74, 99-143 (2002).
32. B. A. Malomed, "Complex Ginzburg-Landau equation," in Encyclopedia of Nonlinear Science, A. Scott, ed. (Routledge, 2005), pp. 157-160.
33. B. A. Malomed, "Solitary pulses in linearly coupled Ginzburg-Landau equations," Chaos 17, 037117 (2007).
34. N. Akhmediev, J. M. Soto-Crespo, and P. Grelu, "Spatiotemporal optical solitons in nonlinear dissipative media: from stationary light bullets to pulsating complexes," Chaos 17, 037112 (2007).
35. D. Mihalache, D. Mazilu, F. Lederer, H. Leblond, and B. A. Malomed, "Collisions between coaxial vortex solitons in the three-dimensional cubic-quintic complex Ginzburg-Landau equation," Phys. Rev. A 77, 033817 (2008).
36. D. Mihalache, D. Mazilu, F. Lederer, H. Leblond, and B. A. Malomed, "Spatiotemporal dissipative solitons in twodimensional photonic lattices," Phys. Rev. E 78, 056602 (2008).
37. D. Mihalache, D. Mazilu, F. Lederer, H. Leblond, and B. A. Malomed, "Collisions between spinning and nonspinning co-axial three-dimensional Ginzburg-Landau solitons," Eur. Phys. J. Spec. Top. 173, 245-254 (2009).
38. J. M. Soto-Crespo, P. Grelu, and N. Akhmediev, "Dissipative ring solitons with vorticity," Opt. Express 14, 4013-4250 (2006).
39. O. V. Sinkin, R. Holzlöhner, J. Zweck, and C. R. Menyuk, "Optimization of the split-step Fourier method in modeling optical-fiber communications systems," J. Lightwave Technol. 21, 61-68 (2003).
40. B. A. Malomed, "Potential of interaction between two- and three-dimensional solitons," Phys. Rev. E 58, 7928-7933 (1998).
41. G. I. Stegeman and M. Segev, "Optical spatial solitons and their interactions: university and diversity," Science 286, 1518-1523 (1999).
42. N. N. Akhmediev, A. Ankiewicz, and J. M. Soto-Crespo, "Stable soliton pairs in optical transmission lines and fiber lasers," J. Opt. Soc. Am. B 15, 515-523 (1998).
43. X. Zhang, Z. Q. Zhang, and C. T. Chang, "Absolute photonic band gaps in 12-fold symmetric photonic crystals," Phys. Rev. B 63, 081105 (2001).
44. M. E. Zoorob, M. D. B. Charlton, G. J. Parker, J. J. Baumerg, and M. C. Netti, "Complete photonic bandgaps in 12-fold symmetric quasicrystals," Nature 404, 740-743 (2000).
45. H. Leblond, B. A. Malomed, and D. Mihalache, "Stable vortex solitons in the Ginzburg-Landau model of a twodimensional lasing medium with a transverse grating," Phys. Rev. A 80, 033835 (2009).
46. D. Mihalache, D. Mazilu, F. Lederer, H. Leblond, and B. A. Malomed, "Spatiotemporal solitons in the Ginzburg- Landau model with a two-dimensional transverse grating," Phys. Rev. A 81, 025801 (2010).