• DocumentCode
    27441
  • Title

    Stability Condition of Finite-Element Beam Propagation Methods in Lossy Waveguides

  • Author

    Tran, Thang Q. ; Sangin Kim

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Ajou Univ., Suwon, South Korea
  • Volume
    50
  • Issue
    10
  • fYear
    2014
  • fDate
    Oct. 2014
  • Firstpage
    808
  • Lastpage
    814
  • Abstract
    A simple tool for evaluating the stability of the finite-element beam propagation method (FEBPM) for lossy waveguides is described. Current stability issues are explained by this method. The sufficient stability condition of the FEBPM is described. The stability of the analytical propagation function, the Crank-Nicolson propagation scheme, and various Padé approximants are analyzed using the tool. The dependence of the stability of the FEBPM on the propagation step size is also noted.
  • Keywords
    finite element analysis; numerical stability; optical waveguides; Crank-Nicolson propagation scheme; FEBPM stability; Pade approximants; finite-element beam propagation methods; lossy waveguides; Finite element analysis; Indexes; Numerical stability; Optical waveguides; Stability criteria; Transmission line matrix methods; Beam propagation method (BPM); finite element method; optical waveguide; stability analysis;
  • fLanguage
    English
  • Journal_Title
    Quantum Electronics, IEEE Journal of
  • Publisher
    ieee
  • ISSN
    0018-9197
  • Type

    jour

  • DOI
    10.1109/JQE.2014.2347371
  • Filename
    6878410
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=27441