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.
|Number of pages||6|
|Journal||Physical Review Research|
|Publication status||Published - 13 Jun 2022|
Bibliographical noteFunding 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).
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