Collisions between discrete surface spatiotemporal solitons in nonlinear waveguide arrays

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 79, Issue 1, 2009, Pages

  Mihalache, Dumitru ^a   Mazilu, Dumitru ^a   Lederer, Falk ^b   Kivshar, Yuri S ^c  

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

^b FRIEDRICH SCHILLER UNIVERSITY JENA   (Germany)

^c AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

SOLITONS; WAVEGUIDES;

COLLISION SCENARIOS; CONTINUOUS-DISCRETE; DISCRETE SURFACES; LIGHT LOCALIZATION; NONLINEAR OPTICAL WAVEGUIDE; NONLINEAR WAVEGUIDE ARRAYS; SPATIOTEMPORAL OPTICAL SOLITONS; SPATIOTEMPORAL SOLITONS;

NONLINEAR OPTICS;

EID: 59149104993     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.79.013811     Document Type: Article

References (62)

1. W. J. Tomlinson, Opt. Lett. 5, 323 (1980); 10.1364/OL.5.000323
2. V. M. Agranovich, V. S. Babichenko, and V. Y. Chernyak, JETP Lett. 32, 512 (1980).
3. V. K. Fedyanin and D. Mihalache, Z. Phys. B: Condens. Matter 47, 167 (1982); 10.1007/BF01441299
4. D. Mihalache, R. G. Nazmitdinov, and V. K. Fedyanin, Phys. Scr. 29, 269 (1984). 10.1088/0031-8949/29/3/014
5. U. Langbein, F. Lederer, and H.-E. Ponath, Opt. Commun. 46, 167 (1983). 10.1016/0030-4018(83)90270-5
6. G. I. Stegeman, C. T. Seaton, J. Chilwell, and S. D. Smith, Appl. Phys. Lett. 44, 830 (1984). 10.1063/1.94956
7. N. N. Akhmediev, V. I. Korneyev, and Y. V. Kuzmenko, Zh. Eksp. Teor. Fiz. 88, 107 (1985)
8. N. N. Akhmediev, V. I. Korneyev, and Y. V. Kuzmenko [Sov. Phys. JETP 61, 62 (1985)].
9. F. Lederer and D. Mihalache, Solid State Commun. 59, 151 (1986); 10.1016/0038-1098(86)90198-5
10. D. Mihalache, D. Mazilu, and F. Lederer, Opt. Commun. 59, 391 (1986); 10.1016/0030-4018(86)90364-0
11. D. Mihalache, G. I. Stegeman, C. T. Seaton, E. M. Wright, R. Zanoni, A. D. Boardman, and T. Twardowski, Opt. Lett. 12, 187 (1987). 10.1364/OL.12.000187
12. D. Mihalache, M. Bertolotti, and C. Sibilia, Prog. Opt. 27, 229 (1989).
13. A. D. Boardman, P. Egan, F. Lederer, U. Langbein, and D. Mihalache, in Nonlinear Surface Electromagnetic Phenomena, edited by, H.-E. Ponath, and, G. I. Stegeman, (Elsevier Science, Amsterdam, 1991), pp. 73-287.
14. F. Lederer, L. Leine, R. Muschall, T. Peschel, C. Schmidt-Hattenberger, U. Trutschel, A. D. Boardman, and C. Wächter, Opt. Commun. 99, 95 (1993). 10.1016/0030-4018(93)90711-D
15. K. G. Makris, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and A. Haché, Opt. Lett. 30, 2466 (2005). 10.1364/OL.30.002466
16. M. I. Molina, R. A. Vicencio, and Yu. S. Kivshar, Opt. Lett. 31, 1693 (2006). 10.1364/OL.31.001693
17. Y. V. Kartashov, V. A. Vysloukh, D. Mihalache, and L. Torner, Opt. Lett. 31, 2329 (2006); 10.1364/OL.31.002329
18. Y. V. Kartashov, L. Torner, and V. A. Vysloukh, Opt. Lett. 31, 2595 (2006). 10.1364/OL.31.002595
19. Y. V. Kartashov, F. Ye, V. A. Vysloukh, and L. Torner, Opt. Lett. 32, 2260 (2007). 10.1364/OL.32.002260
20. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Phys. Rev. A 76, 013831 (2007). 10.1103/PhysRevA.76.013831
21. M. I. Molina, Y. V. Kartashov, L. Torner, and Yu. S. Kivshar, Opt. Lett. 32, 2668 (2007). 10.1364/OL.32.002668
22. Y. Kominis, A. Papadopoulos, and K. Hizanidis, Opt. Express 15, 10041 (2007). 10.1364/OE.15.010041
23. M. I. Molina, Y. V. Kartashov, L. Torner, and Yu. S. Kivshar, Phys. Rev. A 77, 053813 (2008). 10.1103/PhysRevA.77.053813
24. Z. Xu and Yu. S. Kivshar, Opt. Lett. 33, 2551 (2008). 10.1364/OL.33.002551
25. S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Haché, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, Phys. Rev. Lett. 96, 063901 (2006). 10.1103/PhysRevLett.96.063901
26. C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Yu. S. Kivshar, Phys. Rev. Lett. 97, 083901 (2006). 10.1103/PhysRevLett.97.083901
27. E. Smirnov, M. Stepić, C. E. Rütter, D. Kip, and V. Shandarov, Opt. Lett. 31, 2338 (2006). 10.1364/OL.31.002338
28. B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 98, 213901 (2007). 10.1103/PhysRevLett.98.213901
29. A. Szameit, Y. V. Kartashov, F. Dreisow, M. Heinrich, T. Pertsch, S. Nolte, A. Tünnermann, V. A. Vysloukh, and L. Torner, Opt. Lett. 33, 1132 (2008). 10.1364/OL.33.001132
30. X. Wang, A. Samodurov, and Z. Chen, Opt. Lett. 33, 1240 (2008). 10.1364/OL.33.001240
31. Yu. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic Press, San Diego, 2003).
32. S. Suntsov, K. G. Makris, G. A. Siviloglou, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, H. Yang, G. Salamo, M. Volatier, V. Aimez, R. Ares, M. Sorel, Y. Min, W. Sohler, X. Wang, A. Bezryadina, and Z. Chen, J. Nonlinear Opt. Phys. Mater. 16, 401 (2007). 10.1142/S0218863507003834
33. F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, Phys. Rep. 463, 1 (2008). 10.1016/j.physrep.2008.04.004
34. Yu. S. Kivshar, Laser Phys. Lett. 5, 703 (2008). 10.1002/lapl.200810062
35. Y. Silberberg, Opt. Lett. 15, 1282 (1990). 10.1364/OL.15.001282
36. B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, J. Opt. B: Quantum Semiclassical Opt. 7, R53 (2005). 10.1088/1464-4266/7/5/R02
37. D. Mihalache, D. Mazilu, F. Lederer, and Yu. S. Kivshar, Opt. Express 15, 10718 (2007). 10.1364/OE.15.010718
38. D. Mihalache, D. Mazilu, F. Lederer, and Yu. S. Kivshar, Opt. Lett. 32, 2091 (2007); 10.1364/OL.32.002091
39. D. Mihalache, D. Mazilu, Yu. S. Kivshar, and F. Lederer, Opt. Express 15, 10718 (2007). 10.1364/OE.15.010718
40. D. Mihalache, D. Mazilu, F. Lederer, and Yu. S. Kivshar, Opt. Lett. 32, 3173 (2007). 10.1364/OL.32.003173
41. D. Mihalache, D. Mazilu, F. Lederer, and Yu. S. Kivshar, Phys. Rev. A 77, 043828 (2008). 10.1103/PhysRevA.77.043828
42. D. Mihalache, D. Mazilu, F. Lederer, and Yu. S. Kivshar, Phys. Rev. E 78, 056602 (2008). 10.1103/PhysRevE.78.056602
43. N. K. Efremidis and D. N. Christodoulides, Phys. Rev. E 67, 026606 (2003). 10.1103/PhysRevE.67.026606
44. E. A. Ultanir, G. I. Stegeman, D. Michaelis, C. H. Lange, and F. Lederer, Phys. Rev. Lett. 90, 253903 (2003). 10.1103/PhysRevLett.90.253903
45. U. Peschel, O. Egorov, and F. Lederer, Opt. Lett. 29, 1909 (2004). 10.1364/OL.29.001909
46. N. K. Efremidis, D. N. Christodoulides, and K. Hizanidis, Phys. Rev. A 76, 043839 (2007). 10.1103/PhysRevA.76.043839
47. Yu. V. Bludov and V. V. Konotop, Phys. Rev. E 76, 046604 (2007). 10.1103/PhysRevE.76.046604
48. N. C. Panoiu, B. A. Malomed, and R. M. Osgood, Phys. Rev. A 78, 013801 (2008); 10.1103/PhysRevA.78.013801
49. N. C. Panoiu, R. M. Osgood, and B. A. Malomed, Opt. Lett. 31, 1097 (2006). 10.1364/OL.31.001097
50. Q. E. Hoq, R. Carretero-Gonzalez, P. G. Kevrekidis, B. A. Malomed, D. J. Frantzeskakis, Yu. V. Bludov, and V. V. Konotop, Phys. Rev. E 78, 036605 (2008). 10.1103/PhysRevE.78.036605
51. C. J. Benton, A. V. Gorbach, and D. V. Skryabin, Phys. Rev. A 78, 033818 (2008). 10.1103/PhysRevA.78.033818
52. H. Leblond, B. A. Malomed, and D. Mihalache, Phys. Rev. A 77, 063804 (2008). 10.1103/PhysRevA.77.063804
53. F. Kh. Abdullaev, Yu. V. Bludov, S. V. Dmitriev, P. G. Kevrekidis, and V. V. Konotop, Phys. Rev. E 77, 016604 (2008). 10.1103/PhysRevE.77.016604
54. A. B. Aceves, C. De Angelis, A. M. Rubenchik, and S. K. Turitsyn, Opt. Lett. 19, 329 (1994). 10.1364/OL.19.000329
55. E. W. Laedke, K. H. Spatschek, and S. K. Turitsyn, Phys. Rev. Lett. 73, 1055 (1994). 10.1103/PhysRevLett.73.1055
56. A. B. Aceves, G. G. Luther, C. De Angelis, A. M. Rubenchik, and S. K. Turitsyn, Phys. Rev. Lett. 75, 73 (1995); 10.1103/PhysRevLett.75.73
57. A. V. Buryak and N. N. Akhmediev, IEEE J. Quantum Electron. 31, 682 (1995). 10.1109/3.371943
58. A. B. Aceves, M. Santagiustina, and C. De Angelis, J. Opt. Soc. Am. B 14, 1807 (1997). 10.1364/JOSAB.14.001807
59. Z. Xu, Y. V. Kartashov, L. C. Crasovan, D. Mihalache, and L. Torner, Phys. Rev. E 70, 066618 (2004). 10.1103/PhysRevE.70.066618
60. G. Dahlquist and Å. Björk, Numerical Methods (Prentice Hall, Englewood Cliffs, NJ, 1974).
61. G. R. Hadley, Opt. Lett. 16, 624 (1991). 10.1364/OL.16.000624
62. J. M. Ortega and W. C. Rheinboldt, Iterative Solution of Nonlinear Equations in Several Variables (Academic Press, New York, 1970), p. 182.