Searched for: subject%3A%22Nonlinear%255C+Schr%25C3%25B6dinger%255C+equation%22
(1 - 8 of 8)
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Eenhoorn, Jasper (author)
The (nonlinear) behaviour of laser beams can be described with Nonlinear Schrödinger equations (NLS). The purpose of this thesis is to shed light on two mathematical papers that give existence and uniqueness results for an NLS equation called the soliton equation. The contribution is to expand the level of detail with which the analysis and some...
bachelor thesis 2023
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de Koster, P.B.J. (author), Wahls, S. (author)
We present a fast method to calculate the significantly large solitonic components of signals with large time-bandwidth products governed by the nonlinear Schrödinger equation, for which the computation typically becomes prohibitively expensive and/or numerically unstable. We partition the full signal in both frequency and time to obtain...
journal article 2023
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Chimmalgi, S. (author), Wahls, S. (author)
Riemann theta functions play a crucial role in the field of nonlinear Fourier analysis, where they are used to realize inverse nonlinear Fourier transforms for periodic signals. The practical applicability of this approach has however been limited since Riemann theta functions are multi-dimensional Fourier series whose computation suffers...
journal article 2023
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Chimmalgi, S. (author)
Due to the ever increasing global connectivity, the demand on the fiber-optic communication infrastructure is projected to keep increasing rapidly. A major factor currently limiting transmission capacity is the fiber nonlinearity. Some researchers have suggested the application of nonlinear Fourier transforms to exploit the fiber nonlinearity...
doctoral thesis 2022
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Kitsios, Christos (author)
The nonlinear Fourier transform for the focusing periodic nonlinear Schrodinger equation is investigated. This paper is focused on the approximation of the spines in the nonlinear spectrum using results from Floquet theory. Algorithms for the numerical computation of the spines based on the Fourier collocation method are...
student report 2022
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de Koster, P.B.J. (author), Koch, Jonas (author), Schulz, Olaf (author), Pachnicke, Stephan (author), Wahls, S. (author)
Recently, a nonlinear Fourier transform-based Kerr-nonlinearity identification algorithm was demonstrated for a 1000 km NZDSF link with accuracy of 75%. Here, we demonstrate an accuracy of 99% over 1600 km SSMF. Reasons for improved accuracy are discussed.
conference paper 2022
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Westdorp, Rik (author)
In this thesis, a variation on the nonlinear Schrödinger (NLS) equation with multiplicative noise is studied. In particular, we consider a stochastic version of the parametrically-forced nonlinear Schrödinger equation (PFNLS), which models the effect of linear loss and the compensation thereof by phase-sensitive amplification in pulse...
master thesis 2021
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Van Leeuwen, J.P.H. (author)
In this thesis existence and uniqueness of the solution of a nonlinear Schrödinger equation in L² with multiplicative white noise is proven under some assumptions. Furthermore, pathwise L²-norm conservation of the solution is studied.
master thesis 2011
Searched for: subject%3A%22Nonlinear%255C+Schr%25C3%25B6dinger%255C+equation%22
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