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

Stanislav Derevyanko

doi:10.1109/LPT.2008.2005420

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

Stanislav Derevyanko

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1929-1931
Number of pages	3
Journal	IEEE Photonics Technology Letters
Volume	20
Issue number	23
DOIs	https://doi.org/10.1109/LPT.2008.2005420
Publication status	Published - 1 Dec 2008

Bibliographical note

© 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.

Keywords

discrete Fourier transforms
numerical analysis
Fourier transform optics

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10.1109/LPT.2008.2005420

The rule for dealiasing in the split-step Fourier methods for n-wave interactions
© 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.
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KW - numerical analysis

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DO - 10.1109/LPT.2008.2005420

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

Abstract

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Keywords

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