PL EN


Preferences help
enabled [disable] Abstract
Number of results
2001 | 99 | 1 | 47-56
Article title

Spinning Optical Spatiotemporal Solitons in Quadratic Media

Authors
Content
Title variants
Languages of publication
EN
Abstracts
EN
The unique features of the families of bright spinning spatiotemporal solitons (doughnuts or vortex light bullets) in dispersive quadratic media, including their stability, are presented. Both analytical results, obtained by means of a simple variational approximation, and numerical simulations are presented and compared. It was found that though the variational approximation is not very accurate, it correctly describes the qualitative features of the spinning spatiotemporal solitons. The spinning light bullets are subject to a strong azimuthal instability, which leads to the break-up of the spinning soliton into a set of fragments, each being a stable nonspinning spatiotemporal soliton.
Keywords
EN
Contributors
author
  • Department of Theoretical Physics, Institute of Atomic Physics, P.O. Box MG-6, Bucharest, Romania
References
  • 1. G.I. Stegeman, D.J. Hagan, L. Torner, Opt. Quantum Electron., 28, 1691, 1996; Yu.S. Kivshar, in: Advanced Photonics with Second-Order Optically Nonlinear Processes, Eds. A.D. Boardman, L. Pavlov, S. Panev, Kluwer Academic, Dordrecht 1998, p. 451; L. Torner, in: Beam Shaping and Control with Nonlinear Optics, Eds. F. Kajzar, R. Reinisch, Plenum, New York 1998, p. 229; P.D. Drummond, K.V. Kheruntsyan, H. He, J. Opt. B, Quantum Semiclass. Opt., 1, 387, 1999; B. Malomed, in: Nonlinear Science at the Dawn of the 21st Century, Eds. P.L. Christiansen, M.P. Sorensen, A.C. Scott, Springer, Berlin 2000, p. 247
  • 2. Yu.N. Karamzin, A.P. Sukhorukov, Sov. Phys. JETP, 41, 414, 1976
  • 3. A.A. Kanashov, A.M. Rubenchik, Physica D, 4, 122, 1981
  • 4. C.R. Menyuk, R. Schiek, L. Torner, J. Opt. Soc. Am. B, 11, 2434, 1994
  • 5. A.V. Buryak, Y.S. Kivshar, Opt. Lett., 19, 1612, 1994; Phys. Lett. A, 197, 407, 1995
  • 6. L. Torner, C.R. Menyuk, G.I. Stegeman, Opt. Lett., 19, 1615, 1994; L. Torner, Opt. Commun., 114, 136, 1995; L. Torner, D. Mihalache, D. Mazilu, N.N. Akhmediev, Opt. Lett., 20, 2183, 1995
  • 7. A.V. Buryak, Y.S. Kivshar, V.V. Steblina, Phys. Rev. A, 52, 1670, 1995
  • 8. L. Torner, D. Mihalache, D. Mazilu, E.M. Wright, E.W. Torruellas, G.I. Stegeman, Opt. Commun., 121, 149, 1995
  • 9. S.K. Turitsyn, JETP Lett., 61, 469, 1995
  • 10. D. Mihalache, F. Lederer, D. Mazilu, L.-C. Crasovan, Opt. Eng., 35, 1616, 1996
  • 11. L. Bergé, V.K. Mezentsev, J.J. Rasmussen, J. Wyller, Phys. Rev. A, 52, R28, 1995; L. Bergé, O. Bang, J.J. Rasmussen, V.K. Mezentsev, Phys. Rev. E, 55, 3555, 1997
  • 12. L. Torner, W.E. Torruellas, G.I. Stegeman, C.R. Menyuk, Opt. Lett., 20, 1952, 1995
  • 13. A. De Rossi, S. Trillo, A.V. Buryak, Y.S. Kivshar, Opt. Lett., 22, 868, 1997
  • 14. D.E. Pelinovsky, A.V. Buryak, Y.S. Kivshar, Phys. Rev. Lett., 75, 591, 1995; A.V. Buryak, Y.S. Kivshar, S. Trillo, Phys. Rev. Lett., 77, 5210, 1996
  • 15. C. Etrich, U. Peschel, F. Lederer, B.A. Malomed, Y.S. Kivshar, Phys. Rev. E, 54, 4321, 1996
  • 16. L. Torner, D. Mazilu, D. Mihalache, Phys. Rev. Lett., 77, 2455, 1996; L. Torner, D. Mihalache, D. Mazilu, M.C. Santos, N.N. Akhmediev, J. Opt. Soc. Am. B, 15, 1476, 1998
  • 17. C. Etrich, U. Peschel, F. Lederer, B.A. Malomed, Phys. Rev. E, 55, 6155, 1997; C. Etrich, U. Peschel, F. Lederer, D. Mihalache, D. Mazilu, Opt. Quantum Electron., 30, 881, 1998
  • 18. D. Mihalache, D. Mazilu, L.-C. Crasovan, L. Torner, Opt. Commun., 137, 113, 1997; Phys. Rev. E, 56, R6294, 1997
  • 19. W.C.K. Mak, B.A. Malomed, P.L. Chu, Phys. Rev. E, 55, 6134, 1997
  • 20. P.D. Drummond, H. He, Phys. Rev. A, 56, R1107, 1997; K.V. Kheruntsyan, P.D. Drummond, Phys. Rev. A, 58, 2488, 1998
  • 21. Y. Silberberg, Opt. Lett., 15, 1282, 1990
  • 22. J.T. Manassah, P.L. Baldeck, R.R. Alfano, Opt. Lett., 13, 1090, 1988
  • 23. A.B. Blagoeva, S.G. Dinev, A.A. Dreischuh, A. Naidenov, IEEE J. Quantum Electron., QE-27, 2060, 1991
  • 24. M. Desaix, D. Anderson, M. Lisak, J. Opt. Soc. Am. B, 8, 2082, 1991
  • 25. R.H. Enns, D.E. Edmundson, S.S. Rangnekar, A.E. Kaplan, Opt. Quantum Electron., 24, S1295, 1992
  • 26. D.E. Edmundson, R.H. Enns, Phys. Rev. A, 51, 2491, 1995; Opt. Lett., 18, 1609, 1993
  • 27. K. Hayata, M. Koshiba, Phys. Rev. Lett., 71, 3275, 1993; Phys. Rev. E, 48, 2312, 1993
  • 28. X.D. Cao, G.P. Agrawal, C.J. McKinstrie, Phys. Rev. A, 49, 4085, 1994
  • 29. K. Hayata, H. Higaki, M. Koshiba, Opt. Rev., 2, 233, 1995; IEICE T. Electron., E78C, 38, 1995
  • 30. Y. Chen, J. Atai, Opt. Lett., 20, 133, 1995
  • 31. R. McLeod, K. Wagner, S. Blair, Phys. Rev. A, 52, 3254, 1995
  • 32. H. He, M.J. Werner, P.D. Drummond, Phys. Rev. E, 54, 896, 1996
  • 33. V. Skarka, V.I. Berezhiani, R. Miklaszewski, Phys. Rev. E, 56, 1080, 1997
  • 34. A.W. Snyder, J.D. Mitchell, Opt. Lett., 22, 16, 1997
  • 35. B.A. Malomed, P. Drummond, H. He, A. Berntson, D. Anderson, M. Lisak, Phys. Rev. E, 56, 7425, 1997
  • 36. S. Blair, K. Wagner, Opt. Quantum Electron., 30, 697, 1998
  • 37. D.V. Skryabin, W.J. Firth, Opt. Commun., 148, 79, 1998
  • 38. D. Mihalache, D. Mazilu, B.A. Malomed, L. Torner, Opt. Commun., 152, 365, 1998
  • 39. D. Mihalache, D. Mazilu, J. Dorring, L. Torner, Opt. Commun., 159, 129, 1999
  • 40. M. Blaauboer, B.A. Malomed, G. Kurizki, Phys. Rev. Lett., 84, 1906, 2000; M. Blaauboer, G. Kurizki, B.A. Malomed, Phys. Rev. E, 62, R57, 2000
  • 41. I.V. Mel'nikov, D. Mihalache, N.-C. Panoiu, Opt. Commun., 181, 345, 2000
  • 42. S. Raghavan, G.P. Agrawal, Opt. Commun., 180, 377, 2000
  • 43. A. Desyatnikov, A.I. Maimistov, B.A. Malomed, Phys. Rev. E, 61, 3107, 2000
  • 44. D. Mihalache, D. Mazilu, L.-C. Crasovan, B.A. Malomed, F. Lederer, Phys. Rev. E, 61, 7142, 2000
  • 45. X. Liu, L.J. Qian, F.W. Wise, Phys. Rev. Lett., 82, 4631, 1999; X. Liu, K. Beckwitt, F. Wise, Phys. Rev. E, 62, 1328, 2000
  • 46. P. Di Trapani, D. Caironi, G. Valiulis, A. Dubietis, R. Danielius, A. Piskarskas, Phys. Rev. Lett., 81, 570, 1998; G. Valiulis, A. Dubietis, R. Danielius, D. Caironi, A. Visconti, P. Di Trapani, J. Opt. Soc. Am. B, 16, 722, 1999
  • 47. X. Liu, K. Beckwitt, F. Wise, Phys. Rev. E, 61, R4722, 2000
  • 48. D. Mihalache, D. Mazilu, B.A. Malomed, L. Torner, Opt. Commun., 169, 341, 1999
  • 49. L. Torner, C.R. Menyuk, G.I. Stegeman, J. Opt. Soc. Am. B, 12, 889, 1995; L. Torner, E.M. Wright, J. Opt. Soc. Am. B, 13, 864, 1996
  • 50. L. Torner, J.P. Torres, D. Artigas, D. Mihalache, D. Mazilu, Opt. Commun., 164, 151, 1999
  • 51. D. Mihalache, D. Mazilu, L.-C. Crasovan, B.A. Malomed, F. Lederer, Phys. Rev. E, 62, R1505, 2000
  • 52. Y. Bakman, B. Malomed, in: Nonlinear Guided Waves and their Applications, OSA Technical Digest, Optical Society of America, Washington (DC) 1999, p. 389
  • 53. D.E. Edmundson, Phys. Rev. E, 55, 7636, 1997
  • 54. L. Torner, D.V. Petrov, Electron. Lett., 33, 608, 1997; W.J. Firth, D.V. Skryabin, Phys. Rev. Lett., 79, 2450, 1997; D.V. Petrov, L. Torner, Opt. Quantum Electron., 29, 1037, 1997; D.V. Skryabin, W.J. Firth, Phys. Rev. E, 58, 3916, 1998
  • 55. D.V. Petrov, L. Torner, J. Martorell, R. Vilaseca, J.P. Torres, C. Cojocaru, Opt. Lett., 23, 1444, 1998
  • 56. J.M. Soto-Crespo, D.R. Heatley, E.M. Wright, N.N. Akhmediev, Phys. Rev. A, 44, 636, 1991; J. Atai, Y. Chen, J.M. Soto-Crespo, Phys. Rev. A, 49, R3170, 1994
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv99n105kz
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.