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

Derevyanko, Stanislav (2008). The (n+1)/2 rule for dealiasing in the split-step Fourier methods for n-wave interactions. IEEE Photonics Technology Letters, 20 (23), pp. 1929-1931.

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.

Publication DOI: https://doi.org/10.1109/LPT.2008.2005420
Divisions: Engineering & Applied Sciences > Mathematics
Engineering & Applied Sciences > Electrical, Electronic & Power Engineering
Engineering & Applied Sciences > Systems analytics research institute (SARI)
Additional Information: © 2008 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Uncontrolled Keywords: discrete Fourier transforms ,numerical analysis,Fourier transform optics
Full Text Link: http://ieeexplo ... er%3A4670989%29
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Published Date: 2008-12-01
Authors: Derevyanko, Stanislav

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