• DocumentCode
    762617
  • Title

    Marching methods for the solution of the generalized nonlinear Schrodinger equation

  • Author

    González, E. ; Hernandez-Figueroa, Hugo E. ; Fernandez, F.A.

  • Author_Institution
    Dept. of Electron. & Electr. Eng., Univ. Coll. London, UK
  • Volume
    31
  • Issue
    3
  • fYear
    1995
  • fDate
    5/1/1995 12:00:00 AM
  • Firstpage
    1741
  • Lastpage
    1744
  • Abstract
    Two forms of implementing the Crank-Nicolson method for the case of nonlinear optical propagation are compared with the faster split operator method. Stability and convergence of the methods are also analyzed. It is shown that in general the split operator method does not conserve power to the same degree as the Crank-Nicolson method does and it fails to converge in the case of strong nonlinearity
  • Keywords
    Schrodinger equation; nonlinear optics; numerical stability; optical couplers; Crank-Nicolson method; convergence; generalized nonlinear Schrodinger equation; nonlinear optical propagation; numerical stability; optical couplers; split operator method; strong nonlinearity; Convergence; Educational institutions; Electromagnetic analysis; Nonlinear equations; Nonlinear optics; Optical refraction; Optical variables control; Optical waveguides; Schrodinger equation; Stability analysis;
  • fLanguage
    English
  • Journal_Title
    Magnetics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9464
  • Type

    jour

  • DOI
    10.1109/20.376372
  • Filename
    376372
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=762617