Bright and Dark Solitons in Generalized Kerr-Like Media

• Authors: J. Jasiński
• Languages of publication: EN

Abstracts

EN

In the paper the propagation of short pulses in nonlinear Kerr-like medium is considered. Pulses are described by the nonlinear Schrödinger equation in which the generalization of nonlinear dispersion term and the self-frequency shift are taken into account. The solution of the equation in the form of quadrature is derived. Both the phase and profile of the pulse intensity are obtained. The cases of propagating bright and dark solitons in saturable Kerr-like medium are analyzed. Two models of saturation are considered. The explicit analytical expressions describing the Kerr limit are reported. The relations between the medium and propagation parameters are thoroughly discussed.

Keywords

EN

42.65.Tg; 42.82.Et

Discipline

• 42.65.Tg: Optical solitons; nonlinear guided waves(for solitons in fibers, see 42.81.Dp)
• 42.82.Et: Waveguides, couplers, and arrays(for fiber waveguides, see 42.81.Qb)

• Journal: Acta Physica Polonica A
• Year: 2001
• Volume: 99
• Issue: 1
• Pages: 77-86

Dates

published

2001-01

received

2001-06-08

Contributors

author

J. Jasiński

• Faculty of Physics, Warsaw University of Technology, Koszykowa 75, 00-662 Warszawa, Poland

References

• 1. G.P. Agrawal, Nonlinear Fiber Optics, Academic Press, San Diego 1995, p. 28
• 2. V.B. Zakharov, A.B. Shabath, Sov. Phys. JETP, 34, 62, 1972
• 3. G.P. Agrawal, in: Contemporary Nonlinear Optics, Eds. G.P. Agrawal, R.W. Boyd, Academic Press, San Diego 1995, p. 41
• 4. J.N. Elgin, Opt. Lett., 17, 1409, 1992
• 5. M. Piché, J.-F. Cormier, X. Zhu, Opt. Lett., 21, 845, 1996
• 6. G. Dong, Z. Liu, Opt. Commun., 128, 8, 1996
• 7. D. Anderson, M. Lisak, Phys. Rev. A, 27, 1393, 1983
• 8. R.H. Enns, S.S. Rangnekar, Phys. Rev. A, 43, 4047, 1991
• 9. J.R. de Oliveira, M.A. de Moura, J.M. Hickman, A.S.L. Gomes, J. Opt. Soc. Am. B, 9, 2025, 1991
• 10. J.P. Gordon, Opt. Lett., 11, 662, 1986
• 11. Y.S. Kivshar, B.A. Malomed, Opt. Lett., 18, 485, 1993
• 12. G.P. Agrawal, C. Headley, Phys. Rev. A, 46, 1573, 1992
• 13. K. Hizanidis, D.J. Frantzeskakis, C. Polymilis, J. Phys. A, 29, 7687, 1996
• 14. M. Gedalin, T.C. Scott, Y.B. Band, Phys. Rev. Lett., 78, 448, 1997
• 15. S. Liu, X. Liu, Phys. Lett. A, 225, 67, 1997
• 16. S.L. Palacios, J.M. Fernández-Diaz, A. Guinea, J. Mod. Opt., 47, 711, 2000
• 17. S. Gatz, J. Herrmann, J. Opt. Soc. Am. B, 8, 2296, 1991
• 18. U. Langbein, F. Lederer, T. Peschel, H.E. Ponath, Opt. Lett., 10, 571, 1985
• 19. W. Królikowski, X. Yang, B. Luther-Davies, J. Breslin, Opt. Commun., 105, 219, 1994
• 20. F.G. Bass, V.V. Konotop, S.A. Puzenko, Phys. Rev. A, 46, 4185, 1992
• 21. H.W. Schurmann, Phys. Rev. E, 54, 4312, 1996
• 22. W. Chao, Opt. Commun., 175, 239, 2000
• 23. J. Jasiński, Opt. Commun., 172, 325, 1999
• 24. R.W. Boyd, Nonlinear Optics, Academic Press, Boston 1992, p. 191

Identifiers

DOI

10.12693/APhysPolA.99.77