ERC Starting Grant Nonlinear Fourier Transforms in Action (NEUTRINO)

Project Information

The goal of NEUTRINO is to establish nonlinear Fourier transforms as an engineering tool. This is achieved by a) the development of efficient numerical algorithms that are made available in an open source software library, and b) applying these algorithms in the application areas fiber-optic communications and water wave data analysis. Please visit the CORDIS page of the project for more information.

Figure 1.The evolution of a signal in an idealized optical fiber is simplified with a nonlinear Fourier transform (NFT). Only magnitudes are shown.

New project results are posted here and on Twitter.

Project Members

• Dr. Sander Wahls (PI)

• Dr. Markus Bruehl

Alumni

• M.Sc. Peter J. Prins

• M.Sc. Shrinivas Chimmalgi

• Dr. Sina Fazel

Software

• FNFT: Fast numerical computation of (inverse) nonlinear Fourier transforms

• NFDMLab: Simulating Nonlinear Frequency Division Multiplexing in Python

Publications

Upcoming

• Characterisation of Ship-Induced Long-Period Primary Waves Using Nonlinear Fourier Transform (Kdv-Nft)
  M. Bruehl and S. Wahls, ASME 41th International Conference on Ocean, Offshore and Arctic Engineering (OMAE 2022), Hamburg, Germany, 2022. Accepted.

• Water-Depth Identification From Free-Surface Data Using the KDV-Based Nonlinear Fourier Transform
  P. de Koster, M. Bruehl and S. Wahls, ASME 41th International Conference on Ocean, Offshore and Arctic Engineering (OMAE 2022), Hamburg, Germany, 2022. Accepted.

• Evaluation of Nonlinear Fourier-based Maximum Wave Height Predictors under the Nonlinear Schrödinger Equation
  Y.-C. Lee, S. Wahls and M. Bruehl, ASME 41th International Conference on Ocean, Offshore and Arctic Engineering (OMAE 2022), Hamburg, Germany, 2022. Accepted.

• Contribution of solitons to enhanced rogue wave occurrence in shallow water: a case study in the southern North Sea PDF
  I. Teutsch, M. Brühl, R. Weisse, and S. Wahls, NHESS Preprints, 2022.

• Fiber-Optic Communications Using Nonlinear Fourier Transforms: Algorithms and a Bound
  S. Chimmalgi, Dissertation, TU Delft, provisional defense in Sept. 2022.

• Reliable computation of the eigenvalues of the discrete KdV spectrum
  P. J. Prins and S. Wahls, submitted in 2021.

• On Computing High-Genus Riemann Theta Functions
  S. Chimmalgi and S. Wahls, to be revised.

• Nonlinear Spectral Analysis of Wave Trains over Fringing Reefs
  M. Bruehl, J. Dekkers, S. Wahls and M. Tissier, in preparation.

• Nonlinear Fourier Classification of 663 Rogue Waves Measured in the Philippine Sea
  Y.-C. Lee, M. Bruehl, D.J. Doong and S. Wahls, in preparation.

Theses and Reports

• Reliable numerical algorithms for the Non-linear Fourier Transform of the KdV equation PDF
  P. J. Prins, Dissertation, TU Delft, 2022.

• Identification of Spines in Nonlinear Fourier Spectra for the Periodic Nonlinear Schrödinger Equation PDF
  C. Kitsios, Intership Report, TU Delft, 2022.

Journal Papers

• Comparative analysis of bore propagation over long distances using conventional linear and KdV-based nonlinear Fourier transform PDF
  M. Brühl, P.J. Prins, S. Ujvary, I. Barranco, S. Wahls, P. L.-F.Liu, Wave Motion, Vol. 111, May 2022, 102905.

• An accurate O(N²) floating point algorithm for the Crum transform of the KdV equation PDF
  P. J. Prins and S. Wahls, Communications in Nonlinear Science and Numerical Simulation, Vol. 102, Nov. 2021, 105782.

• Bounds on the Transmit Power of b-Modulated NFDM Systems in Anomalous Dispersion Fiber PDF
  S. Chimmalgi and S. Wahls, Entropy, Vol. 22, No. 6, Article 639, 2020. Special Issue Information Theory of Optical Fiber.

• Exact NFDM Transmission in the Presence of Fiber-Loss PDF
  V. Bajaj, S. Chimmalgi, V. Aref and S. Wahls, IEEE/OSA Journal of Lightwave Technology, Early Access, 2020.

• Fast Nonlinear Fourier Transform Algorithms Using Higher Order Exponential Integrators PDF
  S. Chimmalgi, P. J. Prins and S. Wahls, IEEE Access, Vol. 7, No. 1, pp. 145161–145176, Dec. 2019.

• Soliton Phase Shift Calculation for the Korteweg–De Vries Equation PDF
  P. J. Prins and S. Wahls, IEEE Access, Vol. 7, No. 1, pp. 122914–122930, Dec. 2019.

• Nonlinear Frequency Division Multiplexing with b-Modulation: Shifting the Energy Barrier PDF
  T. Gui, G. Zhou, C. Lu, A. P. T. Lau, S. Wahls, Optics Express, vol. 26, no. 21, pp. 27978–27990, 2018.

• FNFT: A Software Library for Computing Nonlinear Fourier Transforms PDF
  S. Wahls, S. Chimmalgi and P. J. Prins, The Journal of Open Source Software, vol. 3, no. 23, paper 597, 2018.

Conference Papers

• Full Spectrum b-Modulation of Time-Limited Signals Using Linear Programming
  S. Wahls, Optical Fiber Communication Conference and Exhibition (OFC), San Diego, USA, Jun. 2022. Accepted.

• Shortening Solitons for Fiber-Optic Transmission PDF
  S. Wahls, 17th International Symposium on Wireless Communication Systems, Virtual, Sep. 2021. Accepted for the special session on fiber optical communications.

• Analysis of Nonlinear Ship‐Induced 3d Wave Fields Using Nonlinear Fourier transforms PDF
  H. Zhang, S. Wahls and M. Brühl, Coastal Dynamics Conference, Delft, The Netherlands, Jun. 2021. Accepted.

• Nonlinear Fourier Analysis of Free-Surface Buoy Data Using the Software Library FNFT PDF
  S. Wahls, M. Bruehl, Y.-M. Fan and C.-J. Huang, Proc. ASME 39th International Conference on Ocean, Offshore and Arctic Engineering (OMAE 2020), FL, USA, Jun. 2020.

• Analysis of Bore Characteristics Using KdV-Based Nonlinear Fourier Transform PDF
  M. Bruehl, S. Wahls, I. Barranco Granged, P. L.-F. Liu, Proc. ASME 39th International Conference on Ocean, Offshore and Arctic Engineering (OMAE 2020), FL, USA, Jun. 2020.

• Theoretical Analysis of Maximum Transmit Power in a b-Modulator PDF
  S. Chimmalgi and S. Wahls, Proc. 45th European Conference on Optical Communication (ECOC), Dublin, Ireland, Sep. 2019.

• Exact nonlinear frequency division multiplexing in lossy fibers PDF
  V. Bajaj, S. Chimmalgi, V. Aref and S. Wahls, Proc. 45th European Conference on Optical Communication (ECOC), Dublin, Ireland, Sep. 2019.

• Wiener-Hopf Method for b-Modulation PDF
  S. Wahls, S. Chimmalgi, P. J. Prins, Proc. Optical Fiber Communication Conference and Exhibition (OFC), San Diego, USA, Mar. 2019.

• NFDMLab: Simulating Nonlinear Frequency Division Multiplexing in Python PDF
  M. Brehler, C. Mahnke, S. Chimmalgi and S. Wahls, Proc. Optical Fiber Communication Conference and Exhibition (OFC), San Diego, USA, Mar. 2019.

• Nonlinear Fourier Transform Algorithm Using a Higher Order Exponential Integrator PDF
  S. Chimmalgi, P. J. Prins and S. Wahls, Proc. OSA Advanced Photonics Congress, Zuerich, Switzerland, Jul. 2018.

• Higher Order Exponential Splittings for the Fast Non-Linear Fourier Transform of the Korteweg-de Vries Equation PDF
  P. J. Prins and S. Wahls, Proc. IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP), Calgary, Canada, April 2018.

• Generation of Time-Limited Signals in the Nonlinear Fourier Domain via b-Modulation PDF
  S. Wahls, Proc. European Conference on Optical Communcation (ECOC), Gothenburg, Sweden, Sep. 2017.

• Discrete Darboux based Fast Inverse Nonlinear Fourier Transform Algorithm for Multi-solitons PDF
  S. Chimmalgi and S. Wahls, Proc. European Conference on Optical Communcation (ECOC), Gothenburg, Sweden, Sep. 2017.