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Article Dans Une Revue Wave Motion Année : 2020

Akhmediev breather signatures from dispersive propagation of a periodically phase-modulated continuous wave

Résumé

We investigate in detail the qualitative similarities between the pulse localization characteristics observed using sinusoidal phase modulation during linear propagation and those seen during the evolution of Akhmediev breathers during propagation in a system governed by the nonlinear Schrödinger equation. The profiles obtained at the point of maximum focusing indeed present very close temporal and spectral features. If the respective linear and nonlinear longitudinal evolutions of those profiles are similar in the vicinity of the point of maximum focusing, they may diverge significantly for longer propagation distance. Our analysis and numerical simulations are confirmed by experiments performed in optical fiber.
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Dates et versions

hal-02189133 , version 1 (19-07-2019)

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Ugo Andral, Bertrand Kibler, John M. Dudley, Christophe Finot. Akhmediev breather signatures from dispersive propagation of a periodically phase-modulated continuous wave. Wave Motion, 2020, 95, pp.102545. ⟨10.1016/j.wavemoti.2020.102545⟩. ⟨hal-02189133⟩
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