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Regular and stochastic motion of dissipative optical solitons

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Abstract

Investigations of the motion of dissipative optical solitons and their complexes in wide-aperture nonlinearly optical (with coherent pump radiation) and laser (with incoherent pump radiation) systems have been reviewed. An important characteristic of dissipative solitons is the topology of the energy fluxes, which determines the internal structure of individual solitons and makes it possible to certainly separate the cases of the weak and strong interactions between the solitons. It has been shown that the character of the regular motion of dissipative soliton structures in a homogeneous system is determined by the symmetry of the transverse distributions of the intensity and energy flux; the motion of asymmetric structures is curvilinear. This is also valid for complexes of three-dimensional dissipative optical solitons, “laser bullets.” The extreme possibilities of localization of solitons are determined by quantum noises. The corresponding Brownian motion of the center of the dissipative optical soliton is characterized by a much lower level of the statistic dispersion of the coordinates of its center and velocity than that in the case of conservative solitons.

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References

  1. M. Faraday, Phil. Trans. R. Soc. London 122(II), 299 (1831).

    Google Scholar 

  2. B. S. Kerner and V. V. Osipov, Autosolitons: A New Approach to Problems of Self Organization and Turbulence (Kluwer, Dordrecht, 1994; Nauka, Moscow, 1991).

    Google Scholar 

  3. Topical Issue on Dissipative Optical Solitons, Eur. Phys. J. D 59(1), 1 (2010).

  4. N. N. Rosanov, Optical Bistability and Hysteresis in Distributed Nonlinear Systems (Fizmatlit, Moscow, 1997) [in Russian].

    Google Scholar 

  5. N. N. Rosanov, Spatial Hysteresis and Optical Patterns (Springer, Berlin, 2002).

    MATH  Google Scholar 

  6. N. N. Rosanov, S. V. Fedorov, and A. N. Shatsev, Zh. Eksp. Teor. Fiz. 125, 486 (2004) [J. Exp. Theor. Phys. 98, 427 (2004)].

    Google Scholar 

  7. T. Ackemann, W. J. Firth, and G.-L. Oppo, Adv. At. Mol. Opt. Phys. 57, 323 (2009).

    Article  Google Scholar 

  8. N. N. Rosanov and G. V. Khodova, Opt. Spektrosk. 65, 1375 (1988) [Opt. Spectrosc. 65, 810 (1988)].

    Google Scholar 

  9. N. N. Rosanov and S. V. Fedorov, Opt. Spektrosk. 72, 1394 (1992) [Opt. Spectrosc. 72, 782 (1992)].

    Google Scholar 

  10. A. F. Suchkov, Zh. Eksp. Teor. Fiz. 49, 1495 (1965) [Sov. Phys. JETP 22, 1026 (1965)].

    Google Scholar 

  11. L. A. Lugiato and R. Lefever, Phys. Rev. Lett. 58, 2209 (1987).

    Article  ADS  Google Scholar 

  12. N. N. Rosanov and G. V. Khodova, Opt. Spektrosk. 72, 1403 (1992) [Opt. Spectrosc. 72, 788 (1992)].

    Google Scholar 

  13. N. N. Rosanov, in Dissipative Solitons, Ed. by N. Akhmediev and A. Ankiewicz, Lecture Notes in Physics (Springer, Berlin, 2005), pp. 661, 101.

    Google Scholar 

  14. N. N. Rosanov, S. V. Fedorov, and A. N. Shatsev, Zh. Eksp. Teor. Fiz. 129, 625 (2006) [J. Exp. Theor. Phys. 102, 547 (2006)].

    Google Scholar 

  15. S. V. Fedorov, N. N. Rosanov, A. N. Shatsev, et al., IEEE J. Quantum Electron. 39, 197 (2003).

    Article  ADS  Google Scholar 

  16. L. A. Nesterov, Al. S. Kiselev, An. S. Kiselev, and N. N. Rosanov, Opt. Spektrosk. 106, 639 (2009) [Opt. Spectrosc. 106, 570 (2009)].

    Article  Google Scholar 

  17. N. N. Rosanov, S. V. Fedorov, and A. N. Shatsev, Opt. Spektrosk. (in press).

  18. N. N. Rosanov and V. E. Semenov, Opt. Spektrosk. 48, 108 (1980) [Opt. Spectrosc. 48, 69 (1980)].

    Google Scholar 

  19. N. N. Rosanov, S. V. Fedorov, and A. N. Shatsev, Zh. Eksp. Teor. Fiz. 133, 532 (2008) [J. Exp. Theor. Phys. 106, 459 (2008)].

    Google Scholar 

  20. L. A. Nesterov, N. A. Veretenov, and N. N. Rosanov, Opt. Spektrosk. (in press).

  21. N. N. Rosanov, S. V. Fedorov, and A. N. Shatsev, Kvant. Elektron. 35, 268 (2005) [Quantum Electron. 35, 268 (2005)].

    Article  ADS  Google Scholar 

  22. N. N. Rosanov, S. V. Fedorov, and A. N. Shatsev, Kvant. Elektron. 38, 41 (2008) [Quantum Electron. 38, 41 (2008)].

    Article  ADS  Google Scholar 

  23. N. N. Rosanov, S. V. Fedorov, and A. N. Shatsev, Appl. Phys. B 81, 937 (2005).

    Article  ADS  Google Scholar 

  24. S. V. Fedorov, N. N. Rosanov, and A. N. Shatsev, Laser Phys. 15, 983 (2005).

    Google Scholar 

  25. N. A. Veretenov, N. N. Rosanov, S. V. Fedorov, and A. N. Shatsev, Opt. Spektrosk. 109, 802 (2010).

    Article  Google Scholar 

  26. N. A. Veretenov, N. N. Rosanov, and S. V. Fedorov, Opt. Spektrosk. 104, 642 (2008) [Opt. Spectrosc. 104, 563 (2008)].

    Article  Google Scholar 

  27. N. A. Veretenov, N. N. Rosanov, and S. V. Fedorov, Opt. Quant. Electron. 40, 253 (2008).

    Article  Google Scholar 

  28. N. N. Rosanov, S. V. Fedorov, and A. N. Shatsev, Pis’ma Zh. Eksp. Teor. Fiz. 81, 748 (2005) [JETP Lett. 81, 612 (2005)].

    Google Scholar 

  29. N. N. Rosanov, S. V. Fedorov, and A. N. Shatsev, Phys. Rev. Lett. 95, 053903 (2005).

    Article  ADS  Google Scholar 

  30. Yu. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic, San Diego, CA, 2003; Fizmatgiz, Moscow, 2005).

    Google Scholar 

  31. N. N. Rosanov, S. V. Fedorov, and A. N. Shatsev, Opt. Spektrosk. 102, 83 (2007) [Opt. Spectrosc. 102, 83 (2007)].

    Article  ADS  Google Scholar 

  32. N. N. Rosanov, Opt. Spektrosk. 102, 800 (2007) [Opt. Spectrosc. 102, 734 (2007)].

    Google Scholar 

  33. G.-L. Oppo and J. Jeffers, in Quantum Imaging, Ed. by M. Kolobov (Springer, Berlin, 2006; Fizmatlit, Moscow, 2009), p. 313.

    Google Scholar 

  34. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 1: Mechanics (Nauka, Moscow, 1982; Pergamon Press, New York, 1988).

    Google Scholar 

  35. V. A. Fock, Theory of Space, Time and Gravitation (Fizmatlit, Moscow, 1961; Pergamon, Oxford, 1964).

    Google Scholar 

  36. S. N. Vlasov and V. I. Talanov, Self-Focusing of Waves (IPF RAN, Nizhnii Novgorod, 1970) [in Russian].

    Google Scholar 

  37. N. N. Rosanov, S. V. Fedorov, P. I. Khadzhi, and I. V. Belousov, Pis’ma Zh. Eksp. Teor. Fiz. 85, 524 (2007) [JETP Lett. 85, 426 (2007)].

    Google Scholar 

  38. S. V. Fedorov, N. N. Rosanov, and A. N. Shatsev, Opt. Spektrosk. 102, 504 (2007) [Opt. Spectrosc. 102, 456 (2007)].

    Article  Google Scholar 

  39. N. N. Rosanov, S. V. Fedorov, and A. N. Shatsev, Lect. Notes Phys. 751, 93 (2008).

    MathSciNet  Google Scholar 

  40. T. Elsass, K. Gauthron, G. Beaudoin, et al., Appl. Phys. B 98, 327 (2010).

    Article  ADS  Google Scholar 

  41. S. V. Fedorov, Opt. Spektrosk. 106, 633 (2009) [Opt. Spectrosc. 106, 564 (2009)].

    Article  Google Scholar 

  42. Al. S. Kiselev, An. S. Kiselev, and N. N. Rosanov, Pis’ma Zh. Eksp. Teor. Fiz. 87, 763 (2008) [JETP Lett. 87, 663 (2008)].

    Google Scholar 

  43. N. V. Vysotina, V. A. Malyshev, V. G. Maslov, et al., Opt. Spektrosk. 109, 117 (2010) [Opt. Spectrosc. 109, 112 (2010)].

    ADS  Google Scholar 

  44. N. V. Vysotina, N. N. Rosanov, S. V. Fedorov, and A. N. Shatsev, Opt. Spektrosk. 109, 125 (2010) [Opt. Spectrosc. 109, 120 (2010)].

    ADS  Google Scholar 

  45. N. N. Rosanov, S. V. Fedorov, A. N. Shatsev, and N. V. Vysotina, Eur. Phys. J. 59, 3 (2010).

    ADS  Google Scholar 

  46. N. V. Vysotina, N. N. Rosanov, and V. E. Semenov, Pis’ma Zh. Eksp. Teor. Fiz. 83, 337 (2006) [JETP Lett. 83, 279 (2006)].

    Google Scholar 

  47. N. N. Rosanov, V. E. Semenov, and N. V. Vysotina, Kvant. Elektron. 38, 137 (2008) [Quantum Electron. 38, 137 (2008)].

    Article  Google Scholar 

  48. N. V. Vysotina, N. N. Rosanov, and V. E. Semenov, Opt. Spektrosk. 106, 793 (2009) [Opt. Spectrosc. 106, 713 (2009)].

    Article  Google Scholar 

  49. N. N. Rosanov, V. V. Kozlov, and S. Wabnitz, Phys. Rev. A 81, 043815 (2010).

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Vavilov State Optical Institute, Birzhevaya liniya 12, St. Petersburg, 199034, Russia

    N. N. Rosanov, N. A. Veretenov, L. A. Nesterov, S. V. Fedorov & A. N. Shatsev

  2. St. Petersburg State University of Information Technologies, Mechanics, and Optics, St. Petersburg, 197101, Russia

    N. N. Rosanov, N. A. Veretenov, L. A. Nesterov, S. V. Fedorov & A. N. Shatsev

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  1. N. N. Rosanov
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  2. N. A. Veretenov
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  3. L. A. Nesterov
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  4. S. V. Fedorov
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  5. A. N. Shatsev
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Correspondence to N. N. Rosanov.

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Original Russian Text © N.N. Rosanov, N.A. Veretenov, L.A. Nesterov, S.V. Fedorov, A.N. Shatsev, 2010, published in Pis’ma v Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2010, Vol. 92, No. 8, pp. 605–620.

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Rosanov, N.N., Veretenov, N.A., Nesterov, L.A. et al. Regular and stochastic motion of dissipative optical solitons. Jetp Lett. 92, 552–567 (2010). https://doi.org/10.1134/S0021364010200129

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