The (n+1)/2 rule for dealiasing in the split-step Fourier methods for n-wave interactions

Stanislav Derevyanko

    Research output: Contribution to journalArticlepeer-review


    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.
    Original languageEnglish
    Pages (from-to)1929-1931
    Number of pages3
    JournalIEEE Photonics Technology Letters
    Issue number23
    Publication statusPublished - 1 Dec 2008

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    • discrete Fourier transforms
    • numerical analysis
    • Fourier transform optics


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