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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