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Can a variational approach describe pulse splitting in a dispersion managed system?

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Języki publikacji
EN
Abstrakty
EN
When looking for solitons in nonlinear systems, it is often useful to have a simplifying tool. One such tool is the variational method. On the other hand, in the presence of fast oscillations, the wavefunction of the system can split into two distinct parts. This is not describable by the classical variational method. Edwards et al., (J. Phys. B 38(4), 2005, pp. 363–76), introduced a hybrid variational analysis which can describe the dynamics in one selected direction more accurately. However, it remained to be seen how well this method describes the dynamics of solitons, in particular their splitting and subsequent recombining. Here we investigate an application of the hybrid variational analysis to a two dimensional system with dispersion management, where such splitting is known to occur. We conclude that indeed agreement is good. This could encourage wider use of the hybrid method.
Słowa kluczowe
Czasopismo
Rocznik
Strony
s. 575--580
Opis fizyczny
Bibliogr., 17 poz., rys., wykr.
Twórcy
autor
  • Soltan Institute for Nuclear Studies, Hoża 69, 00-681 Warsaw, Poland
  • Institute for Theoretical Physics, Warsaw University, Hoża 69, 00-681 Warsaw, Poland
autor
  • Institute for Theoretical Physics, Warsaw University, Hoża 69, 00-681 Warsaw, Poland
  • Soltan Institute for Nuclear Studies, Hoża 69, 00-681 Warsaw, Poland
  • Institute for Theoretical Physics, Warsaw University, Hoża 69, 00-681 Warsaw, Poland
Bibliografia
  • [1] DRUMMOND P.D., HAELTERMAN M., VILASECA R., Optical solitons, Journal of Optics B: Quantum and Semiclassical Optics 6(5), 2004, p. S159.
  • [2] KIVSHAR Y.S., AGRAWAL G.P., Optical Solitons: From Fiber to Photonic Crystals, Academic Press, London 2003.
  • [3] MALOMED B.A., MIHALACHE D., WISE F., TORNER L., Spatiotemporal optical solitons, Journal of Optics B: Quantum and Semiclassical Optics 7(5), 2005, pp. R53–R72.
  • [4] KATYSHEV YU.V., MAKHANKOV V.G., Stability of some one-field solitons, Physics Letters A 57(1), 1976, pp. 10–2.
  • [5] ANDERSON D.,Variational approach to nonlinear pulse propagation in optical fibers, Physical Review A 27(6), 1983, pp. 3135–45.
  • [6] ANDERSON D., LISAK M., REICHEL T., Asymptotic propagation properties of pulses in a soliton-based optical-fiber communication system, Journal of the Optical Society of America B 5(2), 1988, p. 207.
  • [7] MALOMED B.A., Variational methods in nonlinear fiber optics and related fields, Progress in Optics 43, 2002, pp. 69–191.
  • [8] BERNTSON D., ANDERSON D., LISAK M., QUIROGA-TEIXCIRO M.L., KARLSSON M., Self-phase modulation in dispersion compensated optical fibre transmission systems, Optics Communications 130(1–3), 1996, pp. 153–62.
  • [9] GABITOV I., SHAPIRO E.G., TURITSYN S.K., Asymptotic breathing pulse in optical transmission systems with dispersion compensation, Physical Review E 55(3), 1997, pp. 3624–33.
  • [10] MALOMED B.A., Pulse propagation in a nonlinear optical fiber with periodically modulated dispersion: variational approach, Optics Communications 136(3–4), 1997, pp. 313–9.
  • [11] TURITSYN S.K., Stability of an optical soliton with Gaussian tails, Physical Review E 56(4), 1997, pp. R3784–7.
  • [12] LAKOBA T.I., YANG J., KAUP D.J., MALOMED B.A., Conditions for stationary pulse propagation in the strong dispersion management regime, Optics Communications 149(4–6), 1998, pp. 366–75.
  • [13] TURITSYN S.K., GABITOV I., LAEDKE E.W., MEZENTSEV V.K., MUSHER S.L., SHAPIRO E.G., SCHÄFER T., SPATSCHEK K.H., Variational approach to optical pulse propagation in dispersion compensated transmission systems, Optics Communications 151(1), 1998, pp. 117–35.
  • [14] KUTZ J.N., HOLMES P., EVANGELIDES S.G., GORDON J.G., Hamiltonian dynamics of dispersionmanaged breathers, Journal of the Optical Society of America B 15(1), 1998, pp. 87–96.
  • [15] MATUSZEWSKI M., TRIPPENBACH M., MALOMED B.A., INFELD E., SKORUPSKI A.A., Two-dimensional dispersion-managed light bullets in Kerr media, Physical Review E 70, 2004, p. 016603.
  • [16] MATUSZEWSKI M., INFELD E., MALOMED B.A., TRIPPENBACH M., Optics Communications, to be published.
  • [17] EDWARDS M., DEBEER L.M., DEMENIKOV M., GALBREATH J., MAHANEY T.J., NELSEN B., CLARK C.W., A hybrid Lagrangian variational method for Bose–Einstein condensates in optical lattices, Journal of Physics B: Atomic, Molecular and Optcal Physics 38(4), 2005, pp. 363–76.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-89a9e5ea-c421-4ea6-a7c7-7f71f70eb033
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