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2003 | 103 | 2-3 | 133-147
Article title

Optical Beams in Nonlocal Nonlinear Media

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EN
Abstracts
EN
We discuss propagation of optical beams in nonlocal Kerr-like media with the nonlocality of general form. We study the effect of nonlocality on modulational instability of the plane wave fronts, collapse of finite beams and formation of spatial solitons.
Keywords
EN
Year
Volume
103
Issue
2-3
Pages
133-147
Physical description
Dates
published
2003-02/03
received
2002-09-05
References
  • 1. A. Snyder, J. Mitchell, Science, 276, 1538, 1997
  • 2. A. Snyder, J. Mitchell, J. Opt. Soc. Am., 16, 236, 1999
  • 3. J.P. Gordon, R.C. Leite, R.S. Moore, S.P. Porto, J.R. Whinnery, J. Appl. Phys., 36, 3, 1965
  • 4. S. Akhmanov, D.P. Krindach, A.V. Migulin, A.P. Sukhorukov, R.V. Khokhlov, IEEE J. Quant. Electron., QE-4, 568, 1968
  • 5. M. Horovitz, R. Daisy, O. Werner, B. Fischer, Opt. Lett., 17, 475 , 92; M.D. Iturbe-Castillo, J.J. Sanchez-Mondragon, S. Stepanov, Opt. Lett., 21, 1622, 1996; D. Kip, E. Kratzig, V. Shandarov, P. Moretti, Opt. Lett., 23, 343, 1998
  • 6. D. Suter, T. Blasberg, Phys. Rev. A, 48, 4583, 1993
  • 7. S. Gatz, J. Herrmann, Opt. Lett., 23, 1176, 1998
  • 8. B. Crosignani, A. Degasperis, E. DelRe, P. Di Porto, A.J. Agranat, Phys. Rev. Lett., 82, 1664, 1999
  • 9. M.V. Porkolab, M.V. Goldman, Phys. Fluids, 19, 872, 1976
  • 10. A.G. Litvak, V.A. Mironov, G.M. Fraiman, A.D. Yunakovskii, Sov. J. Plasma Phys., 1, 31, 1975
  • 11. A.G. Litvak, A.M. Sergeev, JETP Lett., 27, 517, 1978
  • 12. H.L. Pecseli, J.J. Rasmussen, Plasma Phys., 22, 421, 1980
  • 13. T.A. Davydova, A.I. Fishchuk, Ukr. J. Phys., 40, 487, 1995
  • 14. C. Conti, M. Peccianti, G. Assanto, in: Nonlinear Guided Waves and Their Applications, OSA Technical Digest, Optical Society of America, Washington DC 2002, p. NLMD32:1-3; D.W. McLaughlin, D.J. Muraki, M.J. Shelley, X. Wang, Physica D, 88, 55, 1995; M. Karpierz, Phys. Rev. E, 66, 036603, 2002
  • 15. F. Dalfovo, S. Giorgini, L.P. Pitaevskii, S. Stringari, Rev. Mod. Phys., 71, 463, 1999
  • 16. I.V. Shadrivov, A.Z. Zharov, J. Opt. Soc. Am. B, 19, 596, 2002; O. Bang, W. Krolikowski, N. Nikolov, D. Neshev, Quadratic Solitons as Nonlocal Solitons, unpublished
  • 17. G.A. Swartzlander, Jr., C.T. Law, Phys. Rev. Lett., 69, 2503, 1992
  • 18. B. Luther-Davies, X. Yang, Opt. Lett., 17, 1755, 1992; A. Dreischuh, G.G. Paulus, F. Zacher, F. Grasbon, H. Walther, Phys. Rev. E, 60, 6111, 1999
  • 19. S.K. Turitsyn, Teor. Mat. Fiz.,, 64, 226, 1985
  • 20. S. Abe, A. Ogura, Phys. Rev. E, 57, 6066, 1998
  • 21. T.B. Benjamin, J.E. Feir, J. Fluid. Mech., 27, 417, 1967
  • 22. A. Hasegawa, Plasma Instabilities and Nonlinear Effects, Springer-Verlag, Heidelberg 1975
  • 23. L.A. Ostrovskii, Sov. Phys. JETP, 24, 797, 1967
  • 24. V.I. Bespalov, V.I. Talanov, JETP Lett., 3, 307, 66; V.I. Karpman, JETP Lett., 6, 277, 1967
  • 25. Yu.S. Kivshar, M. Peyrard, Phys. Rev. A, 46, 3198, 1992
  • 26. P.D. Miller, O. Bang, Phys. Rev. E, 57, 6038, 1998
  • 27. M.J. Potasek, Opt. Lett., 12, 921, 1987
  • 28. Yu.S. Kivshar, D. Anderson, M. Lisak, Phys. Scr., 48, 679, 1993
  • 29. M. Soljacic, M. Segev, T. Coskun, D.N. Christodoulides, A. Vishwanath, Phys. Rev. Lett., 84, 467, 2000
  • 30. W. Krolikowski, O. Bang, J.J. Rasmussen, J. Wyller, Phys. Rev. E, 64, 016612, 2001
  • 31. J.J. Rasmussen, K. Rypdal, Phys. Scr., 33, 481, 1986
  • 32. L. Bergé, Phys. Rep., 303, 259, 1998
  • 33. Y.S. Kivshar, D.E. Pelinovsky, Phys. Rep., 331, 117, 2000
  • 34. A.Y. Wong, P.Y. Cheung, Phys. Rev. Lett., 52, 1222, 1984
  • 35. E. Garmire, R.Y. Chiao, C.H. Towns, Phys. Rev. Lett., 16, 347, 1966
  • 36. C.A. Sackett, J.M. Gerton, M. Welling, R.G. Hulet, Phys. Rev. Lett., 82, 876, 1999
  • 37. P.P. Banerjee, A. Korpel, K.E. Lonngren, Phys. Fluids, 26, 2393, 1983
  • 38. S.L. Shapiro, S.A. Teukolsky, Black Holes, White Dwarfs, and Neutron Stars --- The Physics of Compact Objects, Wiley, New York 1983
  • 39. M. Houbiers, H.T. Stoof, Phys. Rev. A, 54, 5055, 1996
  • 40. C. Sulem, P. Sulem, The Nonlinear Schrodinger Equation, Springer-Verlag, Berlin 1999
  • 41. J.M. Gerton, D. Strekalov, I. Prodan, R.G. Hulet, Nature, 408, 692, 2000
  • 42. E.A. Donley, N.R. Claussen, S.L. Cornish, J.L. Roberts, E.A. Cornell, C.E. Wieman, Nature, 412, 295, 2001
  • 43. V.M. Pérez-García, V.V. Konotop, J.J. García-Ripoll, Phys. Rev. E, 62, 4300, 2000
  • 44. O. Bang, W. Krolikowski, J. Wyller, J.J. Rasmussen, Phys. Rev. E, 66, 046619, 2002
  • 45. A. Parola, L. Salasnich, L. Reatto, Phys. Rev. A, 57, R3180, 1998
  • 46. D. Anderson, Phys. Rev. A, 27, 3135, 1983
  • 47. N.G. Vakhitov, A.A. Kolokolov, Radiophys. Quantum Electron., 16, 783, 75; A.A. Kolokolov, Radiophys. Quantum Electron., 17, 1016, 1976
  • 48. W. Królikowski, O. Bang, Phys. Rev. E, 63, 016610, 2001
  • 49. I. Bialynicki-Birula, J. Mycielski, Phys. Scr., 20, 539, 79; S. Cowan, R.H. Enns, S.S. Rangnekar, S.S. Sanghera, Can. J. Phys., 64, 311, 1986; S. Gatz, J. Herrman, Opt. Lett., 17, 484, 1992
  • 50. E.W. Ladtke, K.H. Spatschek, L. Stenflo, J. Math. Phys., 24, 2764, 1983
  • 51. Y. Kivshar, W. Krolikowski, Opt. Lett., 20, 1527, 1995
Document Type
Publication order reference
YADDA identifier
bwmeta1.element.bwnjournal-article-appv103n218kz
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