Advertisement

Gap solitons in nonlinear electrical transmission lines

  • J. M. Bilbault
  • M. Remoissenet
Part III : Nonlinear Wave Propaganda : Numerical and Theoretical Studies
Part of the Lecture Notes in Physics book series (LNP, volume 353)

Abstract

We study theoretically and numerically the properties of monochromatic waves in a nonlinear electrical transmission line,whose capacitance has a periodic spatial variation.ln the continuum limit and weak amplitude limit we reduce the characteristic equations of this system to NLS equation. We find analytical solutions for the voltage envelope, which propagate with frequency in the gap induced by the capacitance periodicity. Our numerical experiments show that, when the input voltage increases, the transmissivity in the gap increases and the voltage envelope approaches the stationnary shape predicted by theory.

Keywords

Dispersion Curve Continuum Limit Monochromatic Wave Linear Line Reductive Perturbation Method 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    W.Chen and D.L.Mills,Phys.Rev.B36,6269 (1987)CrossRefGoogle Scholar
  2. [2]
    J.E.Sipe and H.G.Winful,Opt.Lett.13,132 (1988)Google Scholar
  3. [3]
    C.Martijn de Sterke and J.E.Sipe,Phys.Rev. A 38,5149 (1988)CrossRefPubMedGoogle Scholar
  4. [4]
    D.L.Mills and S.E.Trullinger,Phys.Rev.B 36,947 (1987)CrossRefGoogle Scholar
  5. [5]
    L.Brillouin and M.Parodi,“Propagation des ondes dans les milieux périodiques”, (Masson,Dunod,1956)Google Scholar
  6. [6]
    H.Kogelnik,Bell Syst.Tech.J.48,2909 (1969)Google Scholar
  7. [7]
    P.F.Byrd and M.D.Friedman,Handbook of Elliptic integrals(Springer,Berlin,1954)Google Scholar

Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • J. M. Bilbault
    • 1
  • M. Remoissenet
    • 1
  1. 1.Laboratoire O.R.CUniversité de BourgogneDijonFrance

Personalised recommendations