Complexity of modulation instability

Auro M. Perego*, Florent Bessin, Arnaud Mussot

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Article numberL022057
Number of pages6
JournalPhysical Review Research
Issue number2
Publication statusPublished - 13 Jun 2022

Bibliographical note

Funding Information:
A.M.P. acknowledges support by the Royal Academy of Engineering through the Research Fellowship Scheme. F.B. acknowledges support by H2020 Marie Skłodowska-Curie Actions (MSCA) (713694). This work was partly supported by the Ministry of Higher Education and Research, Hauts de France Council, and European Regional Development Fund (ERDF) through the Contrat de Projets État-Région (CPER WaveTech) and I-SITE through the VERIFICO, FUHNKC, and EXAT projects, and by the CNRS through the IRP Lille-Aston-Ferrara international project on advanced nonlinear effects in optical fibers (LAFONI).

Publisher Copyright:
© 2022 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.


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