Fast nonlinear Fourier transform algorithms using higher order exponential integrators
Shrinivas Chimmalgi (TU Delft - Team Raf Van de Plas)
Peter J. Prins (TU Delft - Team Raf Van de Plas)
Sander Wahls (TU Delft - Team Raf Van de Plas)
More Info
expand_more
Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.
Abstract
The nonlinear Fourier transform (NFT) has recently gained significant attention in fiber optic communications and other engineering fields. Although several numerical algorithms for computing the NFT have been published, the design of highly accurate low-complexity algorithms remains a challenge. In this paper, we present new fast forward NFT algorithms that achieve accuracies that are orders of magnitudes better than current methods, at comparable run times and even for moderate sampling intervals. The new algorithms are compared to existing solutions in multiple, extensive numerical examples.
help_outline