• DocumentCode
    971014
  • Title

    The (n+1)/2 Rule for Dealiasing in the Split-Step Fourier Methods for n -Wave Interactions

  • Author

    Derevyanko, Stanislav

  • Author_Institution
    Photonics Res. Group, Aston Univ., Birmingham
  • Volume
    20
  • Issue
    23
  • fYear
    2008
  • Firstpage
    1929
  • Lastpage
    1931
  • Abstract
    The aim of this letter is to demonstrate that complete removal of spectral aliasing occurring due to finite numerical bandwidth used in the split-step Fourier simulations of nonlinear interactions of optical waves can be achieved by enlarging each dimension of the spectral domain by a factor (n+1)/2, where n is the number of interacting waves. Alternatively, when using low-pass filtering for dealiasing this amounts to the need for filtering a 2/(n+1) fraction of each spectral dimension.
  • Keywords
    Fourier transform optics; low-pass filters; nonlinear differential equations; nonlinear optics; optical filters; (n+1)/2 rule; dealiasing mechanism; finite numerical bandwidth; low-pass filtering; nonlinear partial differential equations; nonlinear wave interactions; optical waves; spectral domain; split-step Fourier methods; Discrete Fourier transforms; numerical analysis;
  • fLanguage
    English
  • Journal_Title
    Photonics Technology Letters, IEEE
  • Publisher
    ieee
  • ISSN
    1041-1135
  • Type

    jour

  • DOI
    10.1109/LPT.2008.2005420
  • Filename
    4663523
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=971014