Multicolor vortex solitons in two-dimensional photonic lattices

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

Volumn 71, Issue 1, 2005, Pages

  Xu, Zhiyong ^a   Kartashov, Yaroslav V ^a,b   Crasovan, Lucian Cornel ^a,c   Mihalache, Dumitru ^c   Torner, Lluis ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

^b MOSCOW STATE UNIVERSITY   (Russian Federation)

^c INSTITUTE OF ATOMIC PHYSICS   (Romania)

Author keywords

[No Author keywords available]

Indexed keywords

DEFOCUSING; MULTICOLOR VORTEX SOLITONS; PHOTONIC LATTICES; POYNTING VECTOR WALKOFF;

ALGEBRA; CRYSTAL LATTICES; FOCUSING; OPTICAL SWITCHES; PHOTONS; REFRACTIVE INDEX; SECOND HARMONIC GENERATION; VECTORS; VORTEX FLOW;

SOLITONS;

EID: 37649027729     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.71.016616     Document Type: Article

References (57)

1. Yu. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic, San Diego, 2003).
2. G. I. Stegeman, D. J. Hagan, and L. Torner, Opt. Quantum Electron. 28, 1691 (1996).
3. A. V. Buryak, P. Di Trapani, D. V. Skryabin, and S. Trillo, Phys. Rep. 370, 63 (2002).
4. For a review, see, e.g., M. S. Soskin and M. V. Vasnetsov, in Progress in Optics, edited by E. Wolf (Elsevier, Amsterdam, 2001), Vol. 42.
5. V. I. Kruglov and R. A. Vlasov, Phys. Lett. A 111, 401 (1985); L. Torner and D. V. Petrov, Electron. Lett. 33, 608 (1997); W. J. Firth and D. V. Skryabin, Phys. Rev. Lett. 79, 2450 (1997); J. P. Torres, J. M. Soto-Crespo, L. Torner, and D. V. Petrov, J. Opt. Soc. Am. B 15, 625 (1998).
6. V. I. Kruglov and R. A. Vlasov, Phys. Lett. A 111, 401 (1985); L. Torner and D. V. Petrov, Electron. Lett. 33, 608 (1997); W. J. Firth and D. V. Skryabin, Phys. Rev. Lett. 79, 2450 (1997); J. P. Torres, J. M. Soto-Crespo, L. Torner, and D. V. Petrov, J. Opt. Soc. Am. B 15, 625 (1998).
7. V. I. Kruglov and R. A. Vlasov, Phys. Lett. A 111, 401 (1985); L. Torner and D. V. Petrov, Electron. Lett. 33, 608 (1997); W. J. Firth and D. V. Skryabin, Phys. Rev. Lett. 79, 2450 (1997); J. P. Torres, J. M. Soto-Crespo, L. Torner, and D. V. Petrov, J. Opt. Soc. Am. B 15, 625 (1998).
8. V. I. Kruglov and R. A. Vlasov, Phys. Lett. A 111, 401 (1985); L. Torner and D. V. Petrov, Electron. Lett. 33, 608 (1997); W. J. Firth and D. V. Skryabin, Phys. Rev. Lett. 79, 2450 (1997); J. P. Torres, J. M. Soto-Crespo, L. Torner, and D. V. Petrov, J. Opt. Soc. Am. B 15, 625 (1998).
9. V. Tikhonenko, J. Christou, and B. Luther-Daves, J. Opt. Soc. Am. B 12, 2046 (1995); D. V. Petrov, L. Torner, J. Martorell, R. Vilaseca, J. P. Torres, and C. Cojocaru, Opt. Lett. 23, 1444 (1998); M. S. Bigelow, P. Zerom, and R. W. Boyd, Phys. Rev. Lett. 92, 083902 (2004).
10. V. Tikhonenko, J. Christou, and B. Luther-Daves, J. Opt. Soc. Am. B 12, 2046 (1995); D. V. Petrov, L. Torner, J. Martorell, R. Vilaseca, J. P. Torres, and C. Cojocaru, Opt. Lett. 23, 1444 (1998); M. S. Bigelow, P. Zerom, and R. W. Boyd, Phys. Rev. Lett. 92, 083902 (2004).
11. V. Tikhonenko, J. Christou, and B. Luther-Daves, J. Opt. Soc. Am. B 12, 2046 (1995); D. V. Petrov, L. Torner, J. Martorell, R. Vilaseca, J. P. Torres, and C. Cojocaru, Opt. Lett. 23, 1444 (1998); M. S. Bigelow, P. Zerom, and R. W. Boyd, Phys. Rev. Lett. 92, 083902 (2004).
12. M. Quiroga-Teixeiro and H. Michinel, J. Opt. Soc. Am. B 14, 2004 (1997); I. Towers, A. V. Buryak, R. A. Sammut, B. A. Malomed, L.-C. Crasovan, and D. Mihalache, Phys. Lett. A 288, 292 (2001); B. A. Malomed, L.-C. Crasovan, and D. Mihalache, Physica D 161, 187 (2002); D. Mihalache, D. Mazilu, L.-C. Crasovan, I. Towers, A. V. Buryak, B. A. Malomed, L. Torner, J. P. Torres, and F. Lederer, Phys. Rev. Lett. 88, 073902 (2002); D. Mihalache, D. Mazilu, I. Towers, B. A. Malomed, and F. Lederer, Phys. Rev. E 67, 056608 (2003); D. Mihalache, D. Mazilu, B. A. Malomed, and F. Lederer, ibid. 69, 066614 (2004); J. Opt. B: Quantum Semiclassical Opt. 6, S341 (2004).
13. M. Quiroga-Teixeiro and H. Michinel, J. Opt. Soc. Am. B 14, 2004 (1997); I. Towers, A. V. Buryak, R. A. Sammut, B. A. Malomed, L.-C. Crasovan, and D. Mihalache, Phys. Lett. A 288, 292 (2001); B. A. Malomed, L.-C. Crasovan, and D. Mihalache, Physica D 161, 187 (2002); D. Mihalache, D. Mazilu, L.-C. Crasovan, I. Towers, A. V. Buryak, B. A. Malomed, L. Torner, J. P. Torres, and F. Lederer, Phys. Rev. Lett. 88, 073902 (2002); D. Mihalache, D. Mazilu, I. Towers, B. A. Malomed, and F. Lederer, Phys. Rev. E 67, 056608 (2003); D. Mihalache, D. Mazilu, B. A. Malomed, and F. Lederer, ibid. 69, 066614 (2004); J. Opt. B: Quantum Semiclassical Opt. 6, S341 (2004).
14. M. Quiroga-Teixeiro and H. Michinel, J. Opt. Soc. Am. B 14, 2004 (1997); I. Towers, A. V. Buryak, R. A. Sammut, B. A. Malomed, L.-C. Crasovan, and D. Mihalache, Phys. Lett. A 288, 292 (2001); B. A. Malomed, L.-C. Crasovan, and D. Mihalache, Physica D 161, 187 (2002); D. Mihalache, D. Mazilu, L.-C. Crasovan, I. Towers, A. V. Buryak, B. A. Malomed, L. Torner, J. P. Torres, and F. Lederer, Phys. Rev. Lett. 88, 073902 (2002); D. Mihalache, D. Mazilu, I. Towers, B. A. Malomed, and F. Lederer, Phys. Rev. E 67, 056608 (2003); D. Mihalache, D. Mazilu, B. A. Malomed, and F. Lederer, ibid. 69, 066614 (2004); J. Opt. B: Quantum Semiclassical Opt. 6, S341 (2004).
15. M. Quiroga-Teixeiro and H. Michinel, J. Opt. Soc. Am. B 14, 2004 (1997); I. Towers, A. V. Buryak, R. A. Sammut, B. A. Malomed, L.-C. Crasovan, and D. Mihalache, Phys. Lett. A 288, 292 (2001); B. A. Malomed, L.-C. Crasovan, and D. Mihalache, Physica D 161, 187 (2002); D. Mihalache, D. Mazilu, L.-C. Crasovan, I. Towers, A. V. Buryak, B. A. Malomed, L. Torner, J. P. Torres, and F. Lederer, Phys. Rev. Lett. 88, 073902 (2002); D. Mihalache, D. Mazilu, I. Towers, B. A. Malomed, and F. Lederer, Phys. Rev. E 67, 056608 (2003); D. Mihalache, D. Mazilu, B. A. Malomed, and F. Lederer, ibid. 69, 066614 (2004); J. Opt. B: Quantum Semiclassical Opt. 6, S341 (2004).
16. M. Quiroga-Teixeiro and H. Michinel, J. Opt. Soc. Am. B 14, 2004 (1997); I. Towers, A. V. Buryak, R. A. Sammut, B. A. Malomed, L.-C. Crasovan, and D. Mihalache, Phys. Lett. A 288, 292 (2001); B. A. Malomed, L.-C. Crasovan, and D. Mihalache, Physica D 161, 187 (2002); D. Mihalache, D. Mazilu, L.-C. Crasovan, I. Towers, A. V. Buryak, B. A. Malomed, L. Torner, J. P. Torres, and F. Lederer, Phys. Rev. Lett. 88, 073902 (2002); D. Mihalache, D. Mazilu, I. Towers, B. A. Malomed, and F. Lederer, Phys. Rev. E 67, 056608 (2003); D. Mihalache, D. Mazilu, B. A. Malomed, and F. Lederer, ibid. 69, 066614 (2004); J. Opt. B: Quantum Semiclassical Opt. 6, S341 (2004).
17. M. Quiroga-Teixeiro and H. Michinel, J. Opt. Soc. Am. B 14, 2004 (1997); I. Towers, A. V. Buryak, R. A. Sammut, B. A. Malomed, L.-C. Crasovan, and D. Mihalache, Phys. Lett. A 288, 292 (2001); B. A. Malomed, L.-C. Crasovan, and D. Mihalache, Physica D 161, 187 (2002); D. Mihalache, D. Mazilu, L.-C. Crasovan, I. Towers, A. V. Buryak, B. A. Malomed, L. Torner, J. P. Torres, and F. Lederer, Phys. Rev. Lett. 88, 073902 (2002); D. Mihalache, D. Mazilu, I. Towers, B. A. Malomed, and F. Lederer, Phys. Rev. E 67, 056608 (2003); D. Mihalache, D. Mazilu, B. A. Malomed, and F. Lederer, ibid. 69, 066614 (2004); J. Opt. B: Quantum Semiclassical Opt. 6, S341 (2004).
18. M. Quiroga-Teixeiro and H. Michinel, J. Opt. Soc. Am. B 14, 2004 (1997); I. Towers, A. V. Buryak, R. A. Sammut, B. A. Malomed, L.-C. Crasovan, and D. Mihalache, Phys. Lett. A 288, 292 (2001); B. A. Malomed, L.-C. Crasovan, and D. Mihalache, Physica D 161, 187 (2002); D. Mihalache, D. Mazilu, L.-C. Crasovan, I. Towers, A. V. Buryak, B. A. Malomed, L. Torner, J. P. Torres, and F. Lederer, Phys. Rev. Lett. 88, 073902 (2002); D. Mihalache, D. Mazilu, I. Towers, B. A. Malomed, and F. Lederer, Phys. Rev. E 67, 056608 (2003); D. Mihalache, D. Mazilu, B. A. Malomed, and F. Lederer, ibid. 69, 066614 (2004); J. Opt. B: Quantum Semiclassical Opt. 6, S341 (2004).
19. D. N. Christodoulides and R. I. Joseph, Opt. Lett. 13, 794 (1988).
20. D. N. Christodoulides, F. Lederer, and Y. Silberberg, Nature (London) 424, 817 (2003).
21. O. Bang and P. D. Miller, Opt. Lett. 21, 1105 (1996).
22. V. V. Kartashov, L. Torner, and V. A. Vysloukh, Opt. Lett. 29, 1102 (2004); Y. V. Kartashov, A. S. Zelenina, L. Torner, and V. A. Vysloukh, ibid. 29, 766 (2004)
23. V. V. Kartashov, L. Torner, and V. A. Vysloukh, Opt. Lett. 29, 1102 (2004); Y. V. Kartashov, A. S. Zelenina, L. Torner, and V. A. Vysloukh, ibid. 29, 766 (2004)
24. R. Scharf and A. R. Bishop, Phys. Rev. E 47, 1375 (1993).
25. O. Cohen, T. Schwartz, J. W. Fleischer, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 91, 113901 (2003).
26. N. Efremidis, S. Sears, D. N. Christodoulides, J. Fleischer, and M. Segev, Phys. Rev. E 66, 046602 (2002).
27. J. Fleischer, T. Carmon, M. Segev, N. Efremidis, and D. N. Christodoulides, Phys. Rev. Lett. 90, 023902 (2003).
28. J. Fleischer, M. Segev, N. Efremidis, and D. N. Christodoulides, Nature (London) 422, 147 (2003).
29. D. Neshev, E. Ostrovskaya, Y. Kivshar, and W. Krolikowski, Opt. Lett. 28, 710 (2003).
30. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Opt. Express 12, 2831 (2004).
31. B. A. Malomed and P. G. Kevrekidis, Phys. Rev. E 64, 026601 (2001).
32. J. Yang and Z. Musslimani, Opt. Lett. 23, 2094 (2003).
33. Z. Musslimani and J. Yang, J. Opt. Soc. Am. B 21, 973 (2004).
34. D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, and Yu. S. Kivshar, Phys. Rev. Lett. 92, 123903 (2004).
35. J. Fleischer, J. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123904 (2004).
36. A. A. Sukhorukov, Y. S. Kivshar, O. Bang, and C. M. Soukoulis, Phys. Rev. E 63, 016615 (2000).
37. O. Bang, P. L. Christiansen, and C. B. Clausen, Phys. Rev. E 56, 7257 (1997).
38. T. Peschel, U. Peschel, and F. Lederer, Phys. Rev. E 57, 1127 (1998).
39. A. Kobyakov, S. Darmanyan, T. Peitsch, and F. Lederer, J. Opt. Soc. Am. B 16, 1737 (1999).
40. B. A. Malomed, P. G. Kevrekidis, D. J. Frantzeskakis, H. E. Nistazakis, and A. N. Yannacopoulos, Phys. Rev. E 65, 056606 (2002).
41. Z. Y. Xu, Y. V. Kartashov, L.-C. Crasovan, D. Mihalache, and L. Torner, Phys. Rev. E 70, 066618 (2004).
42. R. Iwanow, R. Schiek, G. I. Stegeman, T. Pertsch, F. Lederer, Y. Min, and W. Sohler, Phys. Rev. Lett. 93, 113902 (2004).
43. Y. V. Kartashov, L. Torner, and V. A. Vysloukh, Opt. Lett. 29, 1117 (2004); Y. V. Kartashov, V. A. Vysloukh, and L. Torner, ibid. 29, 1399 (2004).
44. Y. V. Kartashov, L. Torner, and V. A. Vysloukh, Opt. Lett. 29, 1117 (2004); Y. V. Kartashov, V. A. Vysloukh, and L. Torner, ibid. 29, 1399 (2004).
45. S. Carrasco, L. Torner, J. P. Torres, D. Artigas, E. Lopez-Lago, V. Couderc, and A. Barthelemy, IEEE I. Quantum Electron. 8, 497 (2002).
46. M. Soljačić, S. Sears, and M. Segev, Phys. Rev. Lett. 81, 4851 (1998); M. Soljačić and M. Segev, Phys. Rev. E 62, 2810 (2000); Phys. Rev. Lett. 86, 420 (2001).
47. M. Soljačić, S. Sears, and M. Segev, Phys. Rev. Lett. 81, 4851 (1998); M. Soljačić and M. Segev, Phys. Rev. E 62, 2810 (2000); Phys. Rev. Lett. 86, 420 (2001).
48. M. Soljačić, S. Sears, and M. Segev, Phys. Rev. Lett. 81, 4851 (1998); M. Soljačić and M. Segev, Phys. Rev. E 62, 2810 (2000); Phys. Rev. Lett. 86, 420 (2001).
49. A. S. Desyatnikov and Yu. S. Kivshar, Phys. Rev. Lett. 87, 033901 (2001); 88, 053901 (2002).
50. A. S. Desyatnikov and Yu. S. Kivshar, Phys. Rev. Lett. 87, 033901 (2001); 88, 053901 (2002).
51. Y. V. Kartashov, G. Molina-Terriza, and L. Torner, J. Opt. Soc. Am. B 19, 2682 (2002); Y. V. Kartashov, L.-C. Crasovan, D. Mihalache, and L. Torner, Phys. Rev. Lett. 89, 273902 (2002); L.-C. Crasovan, Y. V. Kartashov, D. Mihalache, L. Torner, Y. S. Kivshar, and V. M. Perez-Garcia, Phys. Rev. E 67, 046610 (2003); D. Mihalache, D. Mazilu, L.-C. Crasovan, B. A. Malomed, F. Lederer, and L. Torner, ibid. 68, 046612 (2003); J. Opt. B: Quantum Semiclassical Opt. 6, S333 (2004).
52. Y. V. Kartashov, G. Molina-Terriza, and L. Torner, J. Opt. Soc. Am. B 19, 2682 (2002); Y. V. Kartashov, L.-C. Crasovan, D. Mihalache, and L. Torner, Phys. Rev. Lett. 89, 273902 (2002); L.-C. Crasovan, Y. V. Kartashov, D. Mihalache, L. Torner, Y. S. Kivshar, and V. M. Perez-Garcia, Phys. Rev. E 67, 046610 (2003); D. Mihalache, D. Mazilu, L.-C. Crasovan, B. A. Malomed, F. Lederer, and L. Torner, ibid. 68, 046612 (2003); J. Opt. B: Quantum Semiclassical Opt. 6, S333 (2004).
53. Y. V. Kartashov, G. Molina-Terriza, and L. Torner, J. Opt. Soc. Am. B 19, 2682 (2002); Y. V. Kartashov, L.-C. Crasovan, D. Mihalache, and L. Torner, Phys. Rev. Lett. 89, 273902 (2002); L.-C. Crasovan, Y. V. Kartashov, D. Mihalache, L. Torner, Y. S. Kivshar, and V. M. Perez-Garcia, Phys. Rev. E 67, 046610 (2003); D. Mihalache, D. Mazilu, L.-C. Crasovan, B. A. Malomed, F. Lederer, and L. Torner, ibid. 68, 046612 (2003); J. Opt. B: Quantum Semiclassical Opt. 6, S333 (2004).
54. Y. V. Kartashov, G. Molina-Terriza, and L. Torner, J. Opt. Soc. Am. B 19, 2682 (2002); Y. V. Kartashov, L.-C. Crasovan, D. Mihalache, and L. Torner, Phys. Rev. Lett. 89, 273902 (2002); L.-C. Crasovan, Y. V. Kartashov, D. Mihalache, L. Torner, Y. S. Kivshar, and V. M. Perez-Garcia, Phys. Rev. E 67, 046610 (2003); D. Mihalache, D. Mazilu, L.-C. Crasovan, B. A. Malomed, F. Lederer, and L. Torner, ibid. 68, 046612 (2003); J. Opt. B: Quantum Semiclassical Opt. 6, S333 (2004).
55. Y. V. Kartashov, G. Molina-Terriza, and L. Torner, J. Opt. Soc. Am. B 19, 2682 (2002); Y. V. Kartashov, L.-C. Crasovan, D. Mihalache, and L. Torner, Phys. Rev. Lett. 89, 273902 (2002); L.-C. Crasovan, Y. V. Kartashov, D. Mihalache, L. Torner, Y. S. Kivshar, and V. M. Perez-Garcia, Phys. Rev. E 67, 046610 (2003); D. Mihalache, D. Mazilu, L.-C. Crasovan, B. A. Malomed, F. Lederer, and L. Torner, ibid. 68, 046612 (2003); J. Opt. B: Quantum Semiclassical Opt. 6, S333 (2004).
56. L. Torner, J. P. Torres, D. V. Petrov, and J. M. Soto-Crespo, Opt. Quantum Electron. 30, 809 (1998); S. Minardi, G. Molina-Terriza, P. Di Trapani, J. P. Torres, and L. Torner, Opt. Lett. 26, 1004 (2001).
57. L. Torner, J. P. Torres, D. V. Petrov, and J. M. Soto-Crespo, Opt. Quantum Electron. 30, 809 (1998); S. Minardi, G. Molina-Terriza, P. Di Trapani, J. P. Torres, and L. Torner, Opt. Lett. 26, 1004 (2001).