Nonlinear Fourier Transforms in Action

Project Information

NEUTRINO

Grant agreement ID: 716669

DOI

10.3030/716669

Project closed

EC signature date 27 February 2017

Start date 1 March 2017

End date 28 February 2022

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 337 907,00

EU contribution

€ 1 337 907,00

Coordinated by

TECHNISCHE UNIVERSITEIT DELFT
Netherlands

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Conference proceedings (13)

Analysis of nonlinear ship-induced 3D wave field using nonlinear Fourier transforms

Author(s): H. Zhang, S. Wahls, M. Brühl
Published in: Proc. Coastal Dynamics'21, 2022
Publisher: Unknown

Analysis of Bore Characteristics Using KdV-Based Nonlinear Fourier Transform

Author(s): Markus Bruehl, Sander Wahls, Ignacio Barranco Granged, Philipp L.-F. Liu
Published in: Volume 6B: Ocean Engineering, 2020, ISBN 978-0-7918-8438-6
Publisher: American Society of Mechanical Engineers
DOI: 10.1115/omae2020-19074

Shortening Solitons for Fiber-Optic Transmission

Author(s): Sander Wahls
Published in: 2021 17th International Symposium on Wireless Communication Systems (ISWCS), 2021, Page(s) 1-6, ISBN 978-1-7281-7432-7
Publisher: IEEE
DOI: 10.1109/iswcs49558.2021.9562241

Full Spectrum b-Modulation of Time-Limited Signals Using Linear Programming

Author(s): S. Wahls
Published in: Proc. OFC'22, 2022, ISBN 978-1-55752-466-9
Publisher: Unknown

Generation of Time-Limited Signals in the Nonlinear Fourier Domain via b-Modulation

Author(s): Sander Wahls
Published in: 2017 European Conference on Optical Communication (ECOC), 2017, Page(s) 1-3, ISBN 978-1-5386-5624-2
Publisher: IEEE
DOI: 10.1109/ECOC.2017.8346231

Nonlinear Fourier Transform Algorithm Using a Higher Order Exponential Integrator

Author(s): Shrinivas Chimmalgi, Peter J. Prins, Sander Wahls
Published in: Advanced Photonics 2018 (BGPP, IPR, NP, NOMA, Sensors, Networks, SPPCom, SOF), Issue 2–5 July 2018, 2018, Page(s) SpM4G.5, ISBN 978-1-943580-43-9
Publisher: OSA
DOI: 10.1364/sppcom.2018.spm4g.5

Higher Order Exponential Splittings for the Fast Non-Linear Fourier Transform of the Korteweg-De Vries Equation

Author(s): Peter J. Prins, Sander Wahls
Published in: 2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2018, Page(s) 4524-4528, ISBN 978-1-5386-4658-8
Publisher: IEEE
DOI: 10.1109/icassp.2018.8461708

Discrete Darboux based Fast Inverse Nonlinear Fourier Transform Algorithm for Multi-solitons

Author(s): Shrinivas Chimmalgi, Sander Wahls
Published in: 2017 European Conference on Optical Communication (ECOC), 2017, Page(s) 1-3, ISBN 978-1-5386-5624-2
Publisher: IEEE
DOI: 10.1109/ECOC.2017.8346226

Theoretical Analysis of Maximum Transmit Power in a b-Modulator

Author(s): Shrinivas Chimmalgi, Sander Wahls
Published in: Proceedings of the 45th European Conference on Optical Communication, 2019
Publisher: The IET (?)

NFDMLab: Simulating Nonlinear Frequency Division Multiplexing in Python

Author(s): Marius Brehler, Christoph Mahnke, Shrinivas Chimmalgi, Sander Wahls
Published in: Optical Fiber Communication Conference (OFC) 2019, 2019, Page(s) M3Z.13, ISBN 978-1-943580-53-8
Publisher: OSA
DOI: 10.1364/ofc.2019.m3z.13

Wiener-Hopf Method for b-Modulation

Author(s): Sander Wahls, Shrinivas Chimmalgi, Peter J. Prins
Published in: Optical Fiber Communication Conference (OFC) 2019, 2019, Page(s) W2A.50, ISBN 978-1-943580-53-8
Publisher: OSA
DOI: 10.1364/ofc.2019.w2a.50

Exact nonlinear frequency division multiplexing in lossy fibers

Author(s): Vinod Bajaj, Shrinivas Chimmalgi, Vahid Aref and Sander Wahls
Published in: Proceedings of the 45th European Conference on Optical Communication, 2019
Publisher: The IET (?)

Nonlinear Fourier Analysis of Free-Surface Buoy Data Using the Software Library FNFT

Author(s): Sander Wahls, Markus Bruehl, Yang-Ming Fan, Ching-Jer Huang
Published in: Volume 6B: Ocean Engineering, 2020, ISBN 978-0-7918-8438-6
Publisher: American Society of Mechanical Engineers
DOI: 10.1115/omae2020-18676

Peer reviewed articles (12)

An accurate O ( N 2 ) floating point algorithm for the Crum transform of the KdV equation

Author(s): Peter J. Prins, Sander Wahls
Published in: Communications in Nonlinear Science and Numerical Simulation, Issue 102, 2021, Page(s) 105782, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2021.105782

Contribution of solitons to enhanced rogue wave occurrence in shallow depths: a case study in the southern North Sea

Author(s): Ina Teutsch, Markus Brühl, Ralf Weisse, Sander Wahls
Published in: Natural Hazards and Earth System Sciences, Issue 23, 2023, Page(s) 2053–2073, ISSN 1684-9981
Publisher: European Geophysical Union
DOI: 10.5194/nhess-23-2053-2023

Bounds on the Transmit Power of b-Modulated NFDM Systems in Anomalous Dispersion Fiber

Author(s): Shrinivas Chimmalgi, Sander Wahls
Published in: Entropy, Issue 22/6, 2020, Page(s) 639, ISSN 1099-4300
Publisher: Multidisciplinary Digital Publishing Institute (MDPI)
DOI: 10.3390/e22060639

Reliable computation of the eigenvalues of the discrete KdV spectrum

Author(s): Peter Prins; Sander Wahls
Published in: Applied Mathematics and Computation, Issue Vol. 433, 2022, Page(s) 127361, ISSN 0096-3003
Publisher: Elsevier BV
DOI: 10.1016/j.amc.2022.127361

Nonlinear Fourier classification of 663 rogue waves measured in the Philippine Sea

Author(s): Yu-Chen Lee, Markus Brühl, Dong-Jiing Doong, Sander Wahls
Published in: PLOS ONE, Issue 19, 2024, Page(s) e0301709, ISSN 1932-6203
Publisher: Public Library of Science
DOI: 10.1371/journal.pone.0301709

FNFT: A Software Library for Computing Nonlinear Fourier Transforms

Author(s): Sander Wahls, Shrinivas Chimmalgi, Peter J Prins
Published in: Journal of Open Source Software, Issue 3/23, 2018, Page(s) 597, ISSN 2475-9066
Publisher: Journal of Open Source Software
DOI: 10.21105/joss.00597

Nonlinear frequency division multiplexing with b-modulation: shifting the energy barrier

Author(s): Tao Gui, Gai Zhou, Chao Lu, Alan Pak Tao Lau, Sander Wahls
Published in: Optics Express, Issue 26/21, 2018, Page(s) 27978, ISSN 1094-4087
Publisher: Optical Society of America
DOI: 10.1364/oe.26.027978

Fast Nonlinear Fourier Transform Algorithms Using Higher Order Exponential Integrators

Author(s): Shrinivas Chimmalgi, Peter J. Prins, Sander Wahls
Published in: IEEE Access, Issue 7, 2019, Page(s) 145161-145176, ISSN 2169-3536
Publisher: Institute of Electrical and Electronics Engineers Inc.
DOI: 10.1109/access.2019.2945480

Soliton Phase Shift Calculation for the Korteweg–De Vries Equation

Author(s): Peter J. Prins, Sander Wahls
Published in: IEEE Access, Issue 7, 2019, Page(s) 122914-122930, ISSN 2169-3536
Publisher: Institute of Electrical and Electronics Engineers Inc.
DOI: 10.1109/access.2019.2932256

Exact NFDM Transmission in the Presence of Fiber-Loss

Author(s): Vinod Bajaj, Shrinivas Chimmalgi, Vahid Aref, Sander Wahls
Published in: Journal of Lightwave Technology, 2020, Page(s) 1-1, ISSN 0733-8724
Publisher: Optical Society of America
DOI: 10.1109/jlt.2020.2984041

On computing high-dimensional Riemann theta functions

Author(s): Shrinivas Chimmalgi, Sander Wahls
Published in: Communications in Nonlinear Science and Numerical Simulation, Issue 123, 2023, Page(s) 107266, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2023.107266

Comparative analysis of bore propagation over long distances using conventional linear and KdV-based nonlinear Fourier transform

Author(s): M. Brühl, P. J. Prins, S. Ujvary, I. Barranco, S. Wahls, P. L.-F.Liu
Published in: Wave Motion, Issue May 2022, 2022, ISSN 0165-2125
Publisher: Elsevier BV
DOI: 10.1016/j.wavemoti.2022.102905

Other (4)

Identification of Spines in Nonlinear Fourier Spectra for the Periodic Nonlinear Schrödinger Equation

Author(s): Kitsios, Christos
Published in: 2022
Publisher: TU Delft

NFDMLab: Release 2019-03-15

Author(s): M. Brehler,C. Mahnke, S. Chimmalgi, S. Wahls
Published in: 2019
Publisher: Zenodo
DOI: 10.5281/zenodo.6500248

FNFT: Version 0.4.1

Author(s): Sander Wahls, Shrinivas Chimmalgi, Peter J. Prins, Marius Brehler
Published in: 2020
Publisher: Zenodo
DOI: 10.5281/zenodo.3941976

Contribution of solitons to enhanced rogue wave occurrence in shallow water: a case study in the southern North Sea

Author(s): Ina Teutsch, Markus Brühl, Ralf Weisse, Sander Wahls
Published in: Natural Hazards and Earth System Sciences Preprints, 2022
Publisher: European Geosciences Union
DOI: 10.5194/nhess-2022-28

Thesis and dissertations (2)

Fiber-Optic Communications Using Nonlinear Fourier Transforms: Algorithms and a Bound

Author(s): Shrinivas Chimmalgi
Published in: 2022, ISBN 978-94-6384-357-7
Publisher: TU Delft
DOI: 10.4233/uuid:50ed87d8-2ec2-40e4-88b2-02ac63ef8413

Reliable numerical algorithms for the Non-linear Fourier Transform of the KdV equation

Author(s): Peter J. Prins
Published in: 2022, ISBN 978-94-6384-320-1
Publisher: TU Delft
DOI: 10.4233/uuid:171ba94a-e8f4-4969-b6ed-912d4f334968