• DocumentCode
    1471617
  • Title

    Iterative solution to the Gel´Fand-Levitan-Marchenko coupled equations and application to synthesis of fiber gratings

  • Author

    Peral, Eva ; Capmany, José ; Marti, Javier

  • Author_Institution
    Dept. de Comunicaciones, ETSI Telecommun., Valencia, Spain
  • Volume
    32
  • Issue
    12
  • fYear
    1996
  • fDate
    12/1/1996 12:00:00 AM
  • Firstpage
    2078
  • Lastpage
    2084
  • Abstract
    In this paper, we develop an iterative solution to the coupled Gel´Fand-Levitan-Marchenko integral equations. It will be proved that this new technique outstands other methods such as the exact GLM solution or the Fourier method. As one of its many applications, the synthesis of fiber gratings for dispersion equalization will be tackled
  • Keywords
    diffraction gratings; equalisers; integral equations; iterative methods; optical design techniques; optical fibre dispersion; optical fibre theory; optical fibres; Fourier method; Gel´Fand-Levitan-Marchenko coupled equations; coupled Gel´Fand-Levitan-Marchenko integral equations; dispersion equalization; exact GLM solution; fiber grating synthesis; iterative solution; Approximation methods; Delay; Fourier transforms; Frequency; Integral equations; Propagation constant; Reflection; Scattering;
  • fLanguage
    English
  • Journal_Title
    Quantum Electronics, IEEE Journal of
  • Publisher
    ieee
  • ISSN
    0018-9197
  • Type

    jour

  • DOI
    10.1109/3.544753
  • Filename
    544753