Modulation instability, Cherenkov radiation, and Fermi-Pasta-Ulam recurrence

Jose M. Soto-Crespo*, Adrian Ankiewicz, Natasha Devine, Nail Akhmediev

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    32 Citations (Scopus)

    Abstract

    We study, numerically, the influence of third-order dispersion (TOD) on modulation instability (MI) in optical fibers described by the extended nonlinear Schrödinger equation. We consider two MI scenarios. One starts with a continuous wave (CW) with a small amount of white noise, while the second one starts with a CW with a small harmonic perturbation at the highest value of the growth rate. In each case, the MI spectra show an additional spectral feature that is caused by Cherenkov radiation. We give an analytic expression for its frequency. Taking a single frequency of modulation instead of a noisy CW leads to the Fermi-Pasta-Ulam (FPU) recurrence dynamics. In this case, the radiation spectral feature multiplies due to the four-wave mixing process. FPU recurrence dynamics is quite pronounced at small values of TOD, disappears at intermediate values, and is restored again at high TOD when the Cherenkov frequency enters the MI band. Our results may lead to a better understanding of the role of TOD in optical fibers.

    Original languageEnglish
    Pages (from-to)1930-1936
    Number of pages7
    JournalJournal of the Optical Society of America B: Optical Physics
    Volume29
    Issue number8
    DOIs
    Publication statusPublished - 1 Aug 2012

    Fingerprint

    Dive into the research topics of 'Modulation instability, Cherenkov radiation, and Fermi-Pasta-Ulam recurrence'. Together they form a unique fingerprint.

    Cite this