Soliton clusters in three-dimensional media with competing cubic and quintic nonlinearities

Journal of Optics B: Quantum and Semiclassical Optics

Volumn 6, Issue 5, 2004, Pages

  Mihalache, D ^a,b,c   Mazilu, D ^a,b   Crasovan, L C ^c   Malomed, B A ^d   Lederer, F ^b   Torner, L ^c  

^a INSTITUTE OF ATOMIC PHYSICS   (Romania)

^b FRIEDRICH SCHILLER UNIVERSITY JENA   (Germany)

^c UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

^d TEL AVIV UNIVERSITY   (Israel)

Author keywords

Light bullets; Soliton clusters; Spatiotemporal solitons; Spinning light bullets

Indexed keywords

GAS CONDENSATES; HAMILTONIANS; HOLOGRAPHY; LASER PULSES; NONLINEAR OPTICS; PHOTOREFRACTIVE MATERIALS;

QUINTIC NONLINEARITIES; SOLITON CLUSTERS;

SOLITONS;

EID: 2942616614     PISSN: 14644266     EISSN: None     Source Type: Journal    
DOI: 10.1088/1464-4266/6/5/023     Document Type: Article

References (89)

1. Kivshar Yu S and Agrawal G P 2003 Optical Solitons: from Fibers to Photonic Crystals (San Diego, CA: Academic)
2. Stegeman G I, Christodoulides D N and Segev M 2000 IEEE J. Sel. Top. Quantum. Electron. 6 1419
3. Akhmediev N N and Ankiewicz A 1997 Solitons: Nonlinear Pulses and Beams (London: Chapman and Hall)
4. Silberberg Y 1990 Opt. Lett. 15 1282
5. Liu X, Qian L J and Wise F W 1999 Phys. Rev. Lett. 82 4631 Liu X, Beckwitt K and Wise F 2000 Phys. Rev. E 62 1328
6. Liu X, Qian L J and Wise F W 1999 Phys. Rev. Lett. 82 4631 Liu X, Beckwitt K and Wise F 2000 Phys. Rev. E 62 1328
7. Malomed B A, Drummond P, He H, Berntson A, Anderson D and Lisak M 1997 Phys. Rev. E 56 4725 Skryabin D V and Firth W J 1998 Opt. Commun. 148 79 Mihalache D, Mazilu D, Malomed B A and Torner L 1998 Opt. Commun. 152 365 Mihalache D, Mazilu D, Dörring J and Torner L 1999 Opt. Commun. 159 129 Mihalache D, Mazilu D, Crasovan L-C, Torner L, Malomed B A and Lederer F 2000 Phys. Rev. E 62 7340 Torner L, Carrasco S, Torres J P, Crasovan L-C and Mihalache D 2001 Opt. Commun. 199 277
8. Malomed B A, Drummond P, He H, Berntson A, Anderson D and Lisak M 1997 Phys. Rev. E 56 4725 Skryabin D V and Firth W J 1998 Opt. Commun. 148 79 Mihalache D, Mazilu D, Malomed B A and Torner L 1998 Opt. Commun. 152 365 Mihalache D, Mazilu D, Dörring J and Torner L 1999 Opt. Commun. 159 129 Mihalache D, Mazilu D, Crasovan L-C, Torner L, Malomed B A and Lederer F 2000 Phys. Rev. E 62 7340 Torner L, Carrasco S, Torres J P, Crasovan L-C and Mihalache D 2001 Opt. Commun. 199 277
9. Malomed B A, Drummond P, He H, Berntson A, Anderson D and Lisak M 1997 Phys. Rev. E 56 4725 Skryabin D V and Firth W J 1998 Opt. Commun. 148 79 Mihalache D, Mazilu D, Malomed B A and Torner L 1998 Opt. Commun. 152 365 Mihalache D, Mazilu D, Dörring J and Torner L 1999 Opt. Commun. 159 129 Mihalache D, Mazilu D, Crasovan L-C, Torner L, Malomed B A and Lederer F 2000 Phys. Rev. E 62 7340 Torner L, Carrasco S, Torres J P, Crasovan L-C and Mihalache D 2001 Opt. Commun. 199 277
10. Malomed B A, Drummond P, He H, Berntson A, Anderson D and Lisak M 1997 Phys. Rev. E 56 4725 Skryabin D V and Firth W J 1998 Opt. Commun. 148 79 Mihalache D, Mazilu D, Malomed B A and Torner L 1998 Opt. Commun. 152 365 Mihalache D, Mazilu D, Dörring J and Torner L 1999 Opt. Commun. 159 129 Mihalache D, Mazilu D, Crasovan L-C, Torner L, Malomed B A and Lederer F 2000 Phys. Rev. E 62 7340 Torner L, Carrasco S, Torres J P, Crasovan L-C and Mihalache D 2001 Opt. Commun. 199 277
11. Malomed B A, Drummond P, He H, Berntson A, Anderson D and Lisak M 1997 Phys. Rev. E 56 4725 Skryabin D V and Firth W J 1998 Opt. Commun. 148 79 Mihalache D, Mazilu D, Malomed B A and Torner L 1998 Opt. Commun. 152 365 Mihalache D, Mazilu D, Dörring J and Torner L 1999 Opt. Commun. 159 129 Mihalache D, Mazilu D, Crasovan L-C, Torner L, Malomed B A and Lederer F 2000 Phys. Rev. E 62 7340 Torner L, Carrasco S, Torres J P, Crasovan L-C and Mihalache D 2001 Opt. Commun. 199 277
12. Malomed B A, Drummond P, He H, Berntson A, Anderson D and Lisak M 1997 Phys. Rev. E 56 4725 Skryabin D V and Firth W J 1998 Opt. Commun. 148 79 Mihalache D, Mazilu D, Malomed B A and Torner L 1998 Opt. Commun. 152 365 Mihalache D, Mazilu D, Dörring J and Torner L 1999 Opt. Commun. 159 129 Mihalache D, Mazilu D, Crasovan L-C, Torner L, Malomed B A and Lederer F 2000 Phys. Rev. E 62 7340 Torner L, Carrasco S, Torres J P, Crasovan L-C and Mihalache D 2001 Opt. Commun. 199 277
13. Soskin M S and Vasnetsov M V 2001 Prog. Opt. 42 219 Soskin M S and Vasnetsov M V 1998 Pure Appl. Opt. 7 301
14. Soskin M S and Vasnetsov M V 2001 Prog. Opt. 42 219 Soskin M S and Vasnetsov M V 1998 Pure Appl. Opt. 7 301
15. Kruglov V I and Vlasov R A 1985 Phys. Lett. A 111 401
16. Desyatnikov A S, Neshev D, Ostrovskaya E A, Kivshar Yu S, McCarty G, Krolikowski W and Luther-Davies B 2002 J. Opt. Soc. Am. B 19 586
17. Soljačić M, Sears S and Segev M 1998 Phys. Rev. Lett. 81 4851 Soljačić M and Segev M 2000 Phys. Rev. E 62 2810 Soljačić M and Segev M 2001 Phys. Rev. Lett. 86 420
18. Soljačić M, Sears S and Segev M 1998 Phys. Rev. Lett. 81 4851 Soljačić M and Segev M 2000 Phys. Rev. E 62 2810 Soljačić M and Segev M 2001 Phys. Rev. Lett. 86 420
19. Soljačić M, Sears S and Segev M 1998 Phys. Rev. Lett. 81 4851 Soljačić M and Segev M 2000 Phys. Rev. E 62 2810 Soljačić M and Segev M 2001 Phys. Rev. Lett. 86 420
20. Desyatnikov A S and Kivshar Yu S 2001 Phys. Rev. Lett. 87 033901
21. Desyatnikov A S and Kivshar Yu S 2002 Phys. Rev. Lett. 88 053901 Desyatnikov A S and Kivshar Yu S 2002 J. Opt. B: Quantum Semiclass. Opt. 4 S58
22. Desyatnikov A S and Kivshar Yu S 2002 Phys. Rev. Lett. 88 053901 Desyatnikov A S and Kivshar Yu S 2002 J. Opt. B: Quantum Semiclass. Opt. 4 S58
23. Rozas D, Law C T and Swartzlander G A 1997 J. Opt. Soc. Am. B 14 3054
24. Firth W J and Skryabin D V 1997 Phys. Rev. Lett. 79 2450 Skryabin D V and Firth W J 1998 Phys. Rev. E 58 3916
25. Firth W J and Skryabin D V 1997 Phys. Rev. Lett. 79 2450 Skryabin D V and Firth W J 1998 Phys. Rev. E 58 3916
26. Torner L and Petrov D V 1997 Electron. Lett. 33 608 Torres J P, Soto-Crespo J M, Torner L and Petrov D V 1998 J. Opt. Soc. Am. B 15 625
27. Torner L and Petrov D V 1997 Electron. Lett. 33 608 Torres J P, Soto-Crespo J M, Torner L and Petrov D V 1998 J. Opt. Soc. Am. B 15 625
28. Di Trapani P, Chinaglia W, Minardi S, Piskarskas A and Valiulis G 2000 Phys. Rev. Lett. 84 3843
29. Musslimani Z H, Soljačić M, Segev M and Christodoulides D N 2001 Phys. Rev. E 63 066608
30. Mihalache D, Mazilu D, Towers I, Malomed B A and Lederer F 2002 J. Opt. A: Pure Appl. Opt. 4 615
31. Mihalache D, Mazilu D, Crasovan L-C, Malomed B A and Lederer F 2000 Phys. Rev. E 62 R1505
32. Mihalache D, Mazilu D, Crasovan L-C, Towers I, Buryak A V, Malomed B A, Torner L, Torres J P and Lederer F 2002 Phys. Rev. Lett. 88 073902 Mihalache D, Mazilu D, Towers I, Malomed B A and Lederer F 2003 Phys. Rev. E 67 056608
33. Mihalache D, Mazilu D, Crasovan L-C, Towers I, Buryak A V, Malomed B A, Torner L, Torres J P and Lederer F 2002 Phys. Rev. Lett. 88 073902 Mihalache D, Mazilu D, Towers I, Malomed B A and Lederer F 2003 Phys. Rev. E 67 056608
34. Mihalache D, Mazilu D, Crasovan L-C, Towers I, Malomed B A, Buryak A V, Torner L and Lederer F 2002 Phys. Rev. E 66 016613
35. Desyatnikov A, Maimistov A and Malomed B 2000 Phys. Rev. E 61 3107
36. Mihalache D, Mazilu D, Crasovan L-C, Malomed B A and Lederer F 2000 Phys. Rev. E 61 7142
37. Vladimirov A G, McSloy J M, Skryabin D V and Firth W J 2002 Phys. Rev. E 65 046606 Skryabin D V and Vladimirov A G 2002 Phys. Rev. Lett. 89 044101
38. Vladimirov A G, McSloy J M, Skryabin D V and Firth W J 2002 Phys. Rev. E 65 046606 Skryabin D V and Vladimirov A G 2002 Phys. Rev. Lett. 89 044101
39. Ruostekoski J and Anglin J R 2001 Phys. Rev. Lett. 86 3934 Battye R A and Sutcliffe P M 2001 Phys. Rev. Lett. 86 3989
40. Ruostekoski J and Anglin J R 2001 Phys. Rev. Lett. 86 3934 Battye R A and Sutcliffe P M 2001 Phys. Rev. Lett. 86 3989
41. Battye R A, Cooper N R and Sutcliffe P M 2002 Phys. Rev. Lett. 88 080401
42. Savage C M and Ruostekoski J 2003 Phys. Rev. Lett. 91 010403
43. Williams J E and Holland M J 1999 Nature 401 568
44. Matthews M R, Anderson B P, Haljan P C, Hall D S, Wieman C E and Cornell E A 1999 Phys. Rev. Lett. 83 2498
45. Madison K W, Chevy F, Wohlleben W and Dalibard J 2000 Phys. Rev. Lett. 84 806
46. Abo-Shaeer J R, Raman C, Vogels J M and Ketterle W 2001 Science 292 476
47. Engels P, Coddington I, Haljan P C, Schweikhard V and Cornell E A 2003 Phys. Rev. Lett. 90 170405
48. Strecker K E, Partridge G W, Truscott A G and Hulet R G 2002 Nature 417 150 Khaykovich L, Schreck F, Ferrari G, Bourdel T, Cubizolles J, Carr L D, Castin Y and Salomon C 2002 Science 296 1290
49. Strecker K E, Partridge G W, Truscott A G and Hulet R G 2002 Nature 417 150 Khaykovich L, Schreck F, Ferrari G, Bourdel T, Cubizolles J, Carr L D, Castin Y and Salomon C 2002 Science 296 1290
50. Saito H and Ueda M 2003 Phys. Rev. Lett. 90 040403
51. Abdullaev F Kh, Caputo J G, Kraenkel R A and Malomed B A 2003 Phys. Rev. A 67 013605
52. Baizakov B B, Malomed B A and Salerno M 2003 Europhys. Lett. 63 642
53. Crasovan L-C, Vekslerchik V, Pérez-García V M, Torres J P, Mihalache D and Torner L 2003 Phys. Rev. A 68 063609
54. Drummond P D 2000 Mod. Phys. Lett. B14 189
55. Crasovan L-C, Molina-Terriza G, Torres J P, Torner L, Pérez-García V M and Mihalache D 2002 Phys. Rev. E 66 036612
56. Theocharis G, Frantzeskakis D J, Kevrekidis P G, Malomed B A and Kivshar Yu S 2003 Phys. Rev. Lett. 90 120403
57. Crasovan L-C, Kartashov Y V, Mihalache D, Torner L, Kivshar Yu S and Peréz-García V M 2003 Phys. Rev. E 67 046610
58. Peréz-García V M and Vekslerchik V 2003 Phys. Rev. E 67 061804
59. Desyatnikov A, Denz C and Kivshar Yu 2004 J. Opt. A: Pure Appl. Opt. 6 209-12
60. Julienne P S, Burnett K, Band Y B and Stwalley W C 1998 Phys. Rev. A 58 R797
61. Heinzen D J, Wynar R, Drummond P D and Kheruntsyan K V 2000 Phys. Rev. Lett. 84 5029
62. Javanainen J and Mackie M 1998 Phys. Rev. A 59 R3186
63. Duan L-M, Sorensen A, Cirac J I and Zoller P 2000 Phys. Rev. Lett. 85 3991
64. Cusack B J, Alexander T J, Ostrovskaya E A and Kivshar Yu S 2001 Phys. Rev. A 65 013609
65. Kokkelmans S J J M F and Holland M J 2002 Phys. Rev. Lett. 89 180401
66. Wynar R, Freeland R S, Han D J, Ryu C and Heinzen D J 2000 Science 287 1016
67. Donley E A, Claussen N R, Thompson S T and Wieman C E 2002 Nature 417 529
68. Torner L, Torres J P, Petrov D V and Soto-Crespo J M 1998 Opt. Quantum Electron. 30 809
69. Petrov D V, Torner L, Martorell J, Vilaseca R, Torres J P and Cojocaru C 1998 Opt. Lett. 23 1444
70. Minardi S, Molina-Terriza G, Di Trapani P, Torres J P and Torner L 2001 Opt. Lett. 26 1004
71. Kartashov Y V, Molina-Terriza G and Torner L 2002 J. Opt. Soc. Am. B 19 2682
72. Kartashov Y V, Crasovan L-C, Mihalache D and Torner L 2002 Phys. Rev. Lett. 89 273902
73. Towers I, Buryak A V, Sammut R A and Malomed B A 2001 Phys. Rev. E 63 055601(R)
74. Quiroga-Teixeiro M and Michinel H 1997 J. Opt. Soc. Am. B 14 2004 Michinel H, Campo-Táboas J, Quiroga-Teixeiro M L, Salgueiro J R and García-Fernández R 2001 J. Opt. B: Quantum Semiclass. Opt. 3 314
75. Quiroga-Teixeiro M and Michinel H 1997 J. Opt. Soc. Am. B 14 2004 Michinel H, Campo-Táboas J, Quiroga-Teixeiro M L, Salgueiro J R and García-Fernández R 2001 J. Opt. B: Quantum Semiclass. Opt. 3 314
76. Berezhiani V I, Skarka V and Aleksić N B 2001 Phys. Rev. E 64 057601
77. Towers I, Buryak A V, Sammut R A, Malomed B A, Crasovan L-C and Mihalache D 2001 Phys. Lett. A 288 292
78. Pego R L and Warchall H A 2002 J. Nonlinear Sci. 12 347
79. Malomed B A, Crasovan L-C and Mihalache D 2002 Physica D 161 187
80. Davydova T A, Yakimenko A I and Zaliznyak Y A 2003 Phys. Rev. E 67 025402
81. Mihalache D, Mazilu D, Crasovan L-C, Malomed B A, Lederer F and Tomer L 2003 Phys. Rev. E 68 046612
82. Smektala F, Quemard C, Couderc V and Barthélémy A 2000 J. Non-Cryst. Solids 274 232 Zhan C, Zhang D, Zhu D, Wang D, Li Y, Li D, Lu Z, Zhao L and Nie Y 2002 J. Opt. Soc. Am. B 19 369 Boudebs G, Cherukulappurath S, Leblond H, Troles J, Smektala F and Sanchez F 2003 Opt. Commun. 219 427
83. Smektala F, Quemard C, Couderc V and Barthélémy A 2000 J. Non-Cryst. Solids 274 232 Zhan C, Zhang D, Zhu D, Wang D, Li Y, Li D, Lu Z, Zhao L and Nie Y 2002 J. Opt. Soc. Am. B 19 369 Boudebs G, Cherukulappurath S, Leblond H, Troles J, Smektala F and Sanchez F 2003 Opt. Commun. 219 427
84. Smektala F, Quemard C, Couderc V and Barthélémy A 2000 J. Non-Cryst. Solids 274 232 Zhan C, Zhang D, Zhu D, Wang D, Li Y, Li D, Lu Z, Zhao L and Nie Y 2002 J. Opt. Soc. Am. B 19 369 Boudebs G, Cherukulappurath S, Leblond H, Troles J, Smektala F and Sanchez F 2003 Opt. Commun. 219 427
85. Wright E M, Lawrence B L, Torruellas W and Stegeman G 1995 Opt. Lett. 20 2481 Gatz S and Herrmann J 1992 IEEE J. Quantum Electron. 28 1732 Enns R H, Rangnekar S S and Kaplan A E 1987 Phys. Rev. A 35 466 Mihalache D, Mazilu D, Bertolotti M and Sibilia C 1988 J. Opt. Soc. Am. B 5 565
86. Wright E M, Lawrence B L, Torruellas W and Stegeman G 1995 Opt. Lett. 20 2481 Gatz S and Herrmann J 1992 IEEE J. Quantum Electron. 28 1732 Enns R H, Rangnekar S S and Kaplan A E 1987 Phys. Rev. A 35 466 Mihalache D, Mazilu D, Bertolotti M and Sibilia C 1988 J. Opt. Soc. Am. B 5 565
87. Wright E M, Lawrence B L, Torruellas W and Stegeman G 1995 Opt. Lett. 20 2481 Gatz S and Herrmann J 1992 IEEE J. Quantum Electron. 28 1732 Enns R H, Rangnekar S S and Kaplan A E 1987 Phys. Rev. A 35 466 Mihalache D, Mazilu D, Bertolotti M and Sibilia C 1988 J. Opt. Soc. Am. B 5 565
88. Wright E M, Lawrence B L, Torruellas W and Stegeman G 1995 Opt. Lett. 20 2481 Gatz S and Herrmann J 1992 IEEE J. Quantum Electron. 28 1732 Enns R H, Rangnekar S S and Kaplan A E 1987 Phys. Rev. A 35 466 Mihalache D, Mazilu D, Bertolotti M and Sibilia C 1988 J. Opt. Soc. Am. B 5 565
89. Malomed B A 1998 Phys. Rev. E 58 7928