Optical Review

, Volume 2, Issue 1, pp 4–5 | Cite as

Fermi-Dirac Kink Propagation in High-Order Nonlinear Media

  • Kazuya HAyata
  • Masanori Koshiba
NONLINEAR OPTICS
Received:
Accepted:

Abstract

We show analytically that addition of a quintic term to the positive Kerr-type nonlinearity offers a unique type of kink soliton-like solution with Fermi-Dirac profile. This type of optical kink allows, in contrast to other optical kinks discovered so far, stationary kink formation not only in the time domain but in the spatial domain. The latter could admit of a route for the first time to our knowledge to spatial kink solitons of intensified laser beams. The underlying principle of the optical kink propagation is described.

Key words

optical soliton kink soliton cubic-quintic nonlinearity Fermi-Dirac distribution nonlinear Schrödinger equation 
This is a preview of subscription content, log in to check access.

References

  1. 1.
    V.G. Makhankov: Soliton Phenomenology (Kluwer, Dordrecht, 1990) p. 56.Google Scholar
  2. 2.
    H.A. Haus: Proc. IEEE 81 (1993) 970.CrossRefGoogle Scholar
  3. 3.
    J. Rubinstein: J. Math. Phys. 11 (1970) 258.CrossRefGoogle Scholar
  4. 4.
    D.N. Christodoulides: Opt. Commun. 86 (1991) 431.CrossRefGoogle Scholar
  5. 5.
    L. Xu, D.H. Auston and A. Hasegawa: Phys. Rev. A 45 (1992) 3184.Google Scholar
  6. 6.
    G.P. Agrawal and C. Headley, III: Phys. Rev. A 46 (1992) 1573.Google Scholar
  7. 7.
    K. Hayata and M. Koshiba: J. Opt. Soc. Am. B 11 (1994) 61.Google Scholar
  8. 8.
    L.G. Bol’shinskii and A.I. Lomtev: Zh. Tekh. Fiz. 56 (1986) 817 [Sov. Phys. Tech. Phys. 31 (1986) 499].Google Scholar
  9. 9.
    A. Kumar, S.N. Sarkar and A.K. Ghatak: Opt. Lett. 11 (1986) 321.Google Scholar
  10. 10.
    A. Kumar and M.S. Sodha: Electron. Lett. 23 (1987) 275.Google Scholar
  11. 11.
    D. Mihalache, D. Mazilu, M. Bertolotti and C. Sibilia: J. Opt. Soc. Am. B 5 (1988) 565.Google Scholar
  12. 12.
    E.M. Dianov and Z.S. Nikonova: Opt. Quantum Electron. 22 (1990) 175.Google Scholar
  13. 13.
    K. Hayata, H. Matsumura and M. Koshiba: J. Appl. Phys. 70 (1991) 1157.CrossRefGoogle Scholar
  14. 14.
    K. Hayata and M. Koshiba: Opt. Lett. 17 (1992) 841.Google Scholar
  15. 15.
    C. Zhou, X.T. He and S. Chen: Phys. Rev. A 46 (1992) 2277.Google Scholar

Copyright information

© The Optical Society of Japan 1995

Authors and Affiliations

  • Kazuya HAyata
    • 1
  • Masanori Koshiba
    • 1
  1. 1.Department of Electronic EngineeringHokkaido UniversitySapporoJapan

Personalised recommendations