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Nonlinear Fourier Transforms in Action

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Publications

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
DOI: 10.1016/j.cnsns.2021.105782

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
DOI: 10.3390/e22060639

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
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
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
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
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
DOI: 10.1109/jlt.2020.2984041

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
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
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
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
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

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
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
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

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
DOI: 10.1115/omae2020-18676