Skip to main content
Log in

Dynamics of solitons in a three-level medium with linear birefringence

  • Physical and Quantum Optics
  • Published:
Optics and Spectroscopy Aims and scope Submit manuscript

Abstract

The dynamics of ultrashort pulses in a three-level or degenerate two-level medium is studied in the framework of integrable systems of the Maxwell-Bloch equations for pulses with a duration much longer than or comparable with the inverse transition frequency, with allowance made for linear birefringence. Using soliton-type solutions, we study the effect of birefringence on soliton conversion for different initial populations of the levels.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. Hasegawa and Y. Kodama, Solitons in Optical Communications (Oxford Univ. Press, Oxford, 1995).

    MATH  Google Scholar 

  2. G. P. Agrawal, Nonlinear Fiber Optics (Academic, New York, 1995, 2nd ed.).

    Google Scholar 

  3. S. Wabnitz, S. Trillo, and G. I. Stegeman, J. Opt. Soc. Am. B 8, 602 (1991).

    Article  ADS  Google Scholar 

  4. M. J. Potasek, J. Opt. Soc. Am. B 10, 941 (1993).

    ADS  Google Scholar 

  5. S. V. Manakov, Zh. Éksp. Teor. Fiz. 65, 505 (1973) [Sov. Phys. JETP 38, 248 (1974)].

    ADS  Google Scholar 

  6. S. Novikov, S. V. Manakov, L. P. Pitaevskii, and V. E. Zakharov, Theory of Solitons: the Inverse Scattering Method (Nauka, Moscow, 1980; Consultants Bureau, New York, 1984).

    MATH  Google Scholar 

  7. R. Radhakrishnanh and M. Lakshmanan, Phys. Rev. E 60, 2317 (1990).

    Article  ADS  Google Scholar 

  8. A. I. Maimistov and A. M. Basharov, Nonlinear Optical Waves (Kluwer, Dordrecht, 1999).

    MATH  Google Scholar 

  9. A. I. Maĭmistov, Kvantovaya Élektron. (Moscow) 11, 567 (1984).

    Google Scholar 

  10. A. M. Basharov and A. I. Maĭmistov, Zh. Éksp. Teor. Fiz. 87, 1594 (1984) [Sov. Phys. JETP 60, 913 (1984)].

    Google Scholar 

  11. L. A. Bol’shov, N. N. Elkin, V. V. Likhanskiĭ, and M. I. Persiantsev, Zh. Éksp. Teor. Fiz. 88, 47 (1985) [Sov. Phys. JETP 61, 27 (1985)].

    ADS  Google Scholar 

  12. A. A. Zabolotskiĭ, Zh. Éksp. Teor. Fiz. 92, 46 (1987) [Sov. Phys. JETP 65, 25 (1987)].

    ADS  Google Scholar 

  13. R. K. Bullough and F. Akhmad, Phys. Rev. Lett. 27, 330 (1971).

    Article  ADS  Google Scholar 

  14. E. M. Belenov, P. G. Kryukov, A. V. Nazarkin, et al., Pis’ma Zh. Éksp. Teor. Fiz. 47, 442 (1988) [JETP Lett. 47, 523 (1988)].

    ADS  Google Scholar 

  15. E. M. Belenov, A. V. Nazarkin, and V. A. Ushchapovskiĭ, Zh. Éksp. Teor. Fiz. 100, 762 (1991) [Sov. Phys. JETP 73, 422 (1991)].

    ADS  Google Scholar 

  16. A. E. Kaplan and P. L. Schkolnikov, Phys. Rev. Lett. 75, 2316 (1995).

    Article  ADS  Google Scholar 

  17. S. V. Sazonov and E. V. Trifonov, J. Phys. A 27, L7 (1994).

    ADS  Google Scholar 

  18. S. V. Sazonov, Zh. Éksp. Teor. Fiz. 107, 20 (1995) [JETP 80, 10 (1995)].

    Google Scholar 

  19. M. Wittmann, A. Nazarkin, and G. Korn, Opt. Lett. 26, 298 (2001).

    Article  ADS  Google Scholar 

  20. D. You, D. R. Dykaar, and P. H. Bucksbaum, Opt. Lett. 18, 290 (1993).

    Article  ADS  Google Scholar 

  21. P. J. Coudrey, J. K. Filbeck, J. D. Gibbon, and R. K. Bullough, J. Phys. A 6, L53 (1973).

    Article  ADS  Google Scholar 

  22. P. J. Coudrey, J. K. Eilbeck, J. D. Gibbon, and R. K. Bullough, Lett. Nuovo Cimento 8, 775 (1973).

    Article  Google Scholar 

  23. F. J. McAleavey, J. O’gorman, J. F. Donegan, et al., Opt. Quantum Electron. 33, 151 (2001).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

__________

Translated from Optika i Spektroskopiya, Vol. 92, No. 5, 2002, pp. 804–812.

Original Russian Text Copyright © 2002 by Zabolotskiĭ.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zabolotskiĭ, A.A. Dynamics of solitons in a three-level medium with linear birefringence. Opt. Spectrosc. 92, 739–747 (2002). https://doi.org/10.1134/1.1481141

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.1481141

Keywords

Navigation