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  • Letter
  • Open Access

Complexity of modulation instability

Auro M. Perego*,† and Florent Bessin†

Arnaud Mussot

  • Aston Institute of Photonic Technologies, Aston University, Birmingham B4 7ET, United Kingdom

  • University of Lille, CNRS, UMR 8523-PhLAM-Physique des Lasers Atomes et Molécules, F-59000 Lille, France

  • *a.perego1@aston.ac.uk
  • †These authors contributed equally to this work.
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Phys. Rev. Research 4, L022057 – Published 13 June, 2022

DOI: https://doi.org/10.1103/PhysRevResearch.4.L022057

Abstract

In this Research Letter, using experimental data, we analyze the computational complexity of modulation instability of a light wave propagating in a single-mode optical fiber. We show that computational complexity is an excellent tool which provides an insight into the emergence from noise of modulation-instability-induced coherent structures in the linear stage, before they become fully developed in the temporal traces, and substantially anticipating other statistical methods. Furthermore, computational complexity captures qualitatively the statistical signature of the recurrences in the nonlinear stage of modulation instability too.

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Outline

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Phys. Rev. Research 4, L022057– Published 13 June, 2022
  • Received 8 November 2021
  • Accepted 19 April 2022
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