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Analysis of laser radiation using the Nonlinear Fourier transform

Author

Listed:
  • Srikanth Sugavanam

    (Aston University)

  • Morteza Kamalian Kopae

    (Aston University)

  • Junsong Peng

    (East China Normal University)

  • Jaroslaw E. Prilepsky

    (Aston University)

  • Sergei K. Turitsyn

    (Aston University
    Novosibirsk State University)

Abstract

Modern high-power lasers exhibit a rich diversity of nonlinear dynamics, often featuring nontrivial co-existence of linear dispersive waves and coherent structures. While the classical Fourier method adequately describes extended dispersive waves, the analysis of time-localised and/or non-stationary signals call for more nuanced approaches. Yet, mathematical methods that can be used for simultaneous characterisation of localized and extended fields are not yet well developed. Here, we demonstrate how the Nonlinear Fourier transform (NFT) based on the Zakharov-Shabat spectral problem can be applied as a signal processing tool for representation and analysis of coherent structures embedded into dispersive radiation. We use full-field, real-time experimental measurements of mode-locked pulses to compute the nonlinear pulse spectra. For the classification of lasing regimes, we present the concept of eigenvalue probability distributions. We present two field normalisation approaches, and show the NFT can yield an effective model of the laser radiation under appropriate signal normalisation conditions.

Suggested Citation

  • Srikanth Sugavanam & Morteza Kamalian Kopae & Junsong Peng & Jaroslaw E. Prilepsky & Sergei K. Turitsyn, 2019. "Analysis of laser radiation using the Nonlinear Fourier transform," Nature Communications, Nature, vol. 10(1), pages 1-10, December.
    • Handle: RePEc:nat:natcom:v:10:y:2019:i:1:d:10.1038_s41467-019-13265-4
    DOI: 10.1038/s41467-019-13265-4
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    Cited by:

    1. Prins, Peter J. & Wahls, Sander, 2022. "Reliable computation of the eigenvalues of the discrete KdV spectrum," Applied Mathematics and Computation, Elsevier, vol. 433(C).

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