Stable three-dimensional optical solitons supported by competing quadratic and self-focusing cubic nonlinearities

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

Volumn 74, Issue 4, 2006, Pages

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

^a ICFO INSTITUT DE CIENCIES FOTONIQUES   (Spain)

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

^c FRIEDRICH SCHILLER UNIVERSITY JENA   (Germany)

^d TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

NONLINEAR OPTICS; SECOND HARMONIC GENERATION; THREE DIMENSIONAL;

PHASE MATCHING; SUPERCRITICAL COLLAPSE;

SOLITONS;

EID: 33750053593     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.74.047601     Document Type: Article

References (48)

1. B. A. Malomed, Soliton Management in Periodic Systems (Springer, New York, 2006).
2. Y. Silberberg, Opt. Lett. OPLEDP 0146-9592 15, 1282 (1990).
3. B. A. Malomed, J. Opt. B: Quantum Semiclassical Opt. JOBOFD 1464-4266 10.1088/1464-4266/7/5/R02 7, R53 (2005).
4. L. Bergé, Phys. Rep. PRPLCM 0370-1573 303, 260 (1998).
5. I. Towers and B. A. Malomed, J. Opt. Soc. Am. B JOBPDE 0740-3224 19, 537 (2002).
6. M. Matuszewski, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.016603 70, 016603 (2004).
7. N. K. Efremidis, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.046602 66, 046602 (2002);
8. J. W. Fleischer, Nature (London) NATUAS 0028-0836 10.1038/nature01452 422, 147 (2003);
9. B. B. Baizakov, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-00579- 4 63, 642 (2003);
10. D. Neshev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92. 123903 92, 123903 (2004).
11. D. Edmundson and R. H. Enns, Opt. Lett. OPLEDP 0146-9592 17, 586 (1992);
12. N. Akhmediev and J. M. Soto-Crespo, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.47.1358 47, 1358 (1993);
13. R. McLeod, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.52.3254 52, 3254 (1995).
14. B. A. Malomed, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.56.4725 56, 4725 (1997);
15. D. V. Skryabin and W. J. Firth, Opt. Commun. OPCOB8 0030-4018 10.1016/S0030-4018(97)00660-3 148, 79 (1998);
16. D. Mihalache, Opt. Commun. OPCOB8 0030-4018 10.1016/S0030-4018(98)00206-5 152, 365 (1998);
17. D. Mihalache, Opt. Commun. OPCOB8 0030-4018 10.1016/S0030-4018(99)00423-X 169, 341 (1999);
18. D. Mihalache, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.7340 62, 7340 (2000).
19. X. Liu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.4631 82, 4631 (1999);
20. X. Liu, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.1328 62, 1328 (2000).
21. M. L. Quiroga-Teixeiro and H. Michinel, J. Opt. Soc. Am. B JOBPDE 0740-3224 14, 2004 (1997).
22. I. Towers, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(01)00565-5 288, 292 (2001);
23. B. A. Malomed, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(01)00362-1 161, 187 (2002);
24. D. Mihalache, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88. 073902 88, 073902 (2002).
25. E. V. Kazantseva, A. I. Maimistov, and B. A. Malomed, Opt. Commun. OPCOB8 0030-4018 10.1016/S0030-4018(00)01143-3 188, 195 (2001).
26. I. Towers, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.055601 63, 055601 (R) (2001);
27. D. Mihalache, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.016613 66, 016613 (2002).
28. L. Torner and D. V. Petrov, Electron. Lett. ELLEAK 0013-5194 10.1049/el:19970429 33, 608 (1997);
29. W. J. Firth and D. V. Skryabin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.2450 79, 2450 (1997);
30. D. V. Petrov, Opt. Lett. OPLEDP 0146-9592 23, 1444 (1998).
31. O. Bang, Opt. Lett. OPLEDP 0146-9592 22, 1680 (1997);
32. O. Bang, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.5057 58, 5057 (1998).
33. C. Etrich, Prog. Opt. POPTAN 0079-6638 10.1016/S0370-1573(02)00196-5 41, 483 (2000);
34. A. V. Buryak, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(02)00196-5 370, 63 (2002).
35. L. Khaykovich and B. A. Malomed, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.023607 74, 023607 (2006).
36. V. E. Zakharov and E. A. Kuznetsov, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 91, 1310 (1986);
37. V. E. Zakharov and E. A. Kuznetsov, [Sov. Phys. JETP SPHJAR 0038-5646 64, 773 (1986)].
38. A. A. Kanashov and A. M. Rubenchik, Physica D PDNPDT 0167-2789 10.1016/0167-2789(81)90009-9 4, 122 (1981).
39. L. Torner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.2455 77, 2455 (1996);
40. C. Etrich, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.55.6155 55, 6155 (1997);
41. D. Mihalache, Opt. Commun. OPCOB8 0030-4018 10.1016/S0030-4018(96)00770-5 137, 113 (1997);
42. L. Torner, J. Opt. Soc. Am. B JOBPDE 0740-3224 15, 1476 (1998);
43. R. H. J. Grimshaw, Physica D PDNPDT 0167-2789 152, 325 (2001);
44. D. Mihalache, Opt. Eng. (Bellingham) OPEGAR 0091-3286 10.1117/1.600729 35, 1616 (1996);
45. C. Etrich, Opt. Quantum Electron. OQELDI 0306-8919 10.1023/A: 1006963128361 30, 881 (1998).
46. M. G. Vakhitov and A. A. Kolokolov, Radiophys. Quantum Electron. RPQEAC 0033-8443 10.1007/BF01031343 16, 783 (1973).
47. F. V. Kusmartsev, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(89)90152- X 183, 1 (1989).
48. A. Ankiewicz and N. Akhmediev, IEE Proc.: Optoelectron. IPOPE8 1350-2433 10.1049/ip-opt:20030609 150, 519 (2003).