1 results for Akhmediev, N

  • Higher-Order Modulation Instability in Nonlinear Fiber Optics

    Erkintalo, Miro; Hammani, K; Kibler, B; Finot, C; Akhmediev, N; Dudley, JM; Genty, G (2011-12-13)

    Journal article
    The University of Auckland Library

    We report theoretical, numerical, and experimental studies of higher-order modulation instability in the focusing nonlinear Schrodinger equation. This higher-order instability arises from the nonlinear superposition of elementary instabilities, associated with initial single breather evolution followed by a regime of complex, yet deterministic, pulse splitting. We analytically describe the process using the Darboux transformation and compare with experiments in optical fiber. We show how a suitably low frequency modulation on a continuous wave field induces higher-order modulation instability splitting with the pulse characteristics at different phases of evolution related by a simple scaling relationship. We anticipate that similar processes are likely to be observed in many other systems including plasmas, Bose-Einstein condensates, and deep water waves.

    View record details