• DocumentCode
    1290047
  • Title

    Finite-difference beam propagation method based on the generalized Douglas scheme for a nonuniform grid

  • Author

    Yamauchi, Junji ; Shibayama, Jun ; Sekiguchi, Minoru ; Nakano, Hisamatsu

  • Author_Institution
    Coll. of Eng., Hosei Univ., Tokyo, Japan
  • Volume
    9
  • Issue
    1
  • fYear
    1997
  • Firstpage
    67
  • Lastpage
    69
  • Abstract
    The finite-difference beam propagation method based on the Douglas scheme is extended to a nonuniform grid. The truncation error is reduced to O(/spl Delta/x)/sup 4/, provided the grid growth factor is r=1+O(/spl Delta/x), while maintaining a tridiagonal matrix. The numerical results show that the accuracy is improved as compared with that obtained from the conventional nonuniform Crank-Nicholson scheme.
  • Keywords
    finite difference methods; optical waveguide theory; Douglas scheme; finite-difference beam propagation method; grid growth factor; nonuniform grid; numerical method; tridiagonal matrix; truncation error; Computational efficiency; Equations; Finite difference methods; Finite wordlength effects; Nonuniform sampling; Optical propagation; Optical waveguides; Sampling methods; Taylor series; Transmission line matrix methods;
  • fLanguage
    English
  • Journal_Title
    Photonics Technology Letters, IEEE
  • Publisher
    ieee
  • ISSN
    1041-1135
  • Type

    jour

  • DOI
    10.1109/68.554495
  • Filename
    554495
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1290047