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Higher-Order Modulation Instability in Nonlinear Fiber Optics

Abstract : We report theoretical, numerical, and experimental studies of higher-order modulation instability in the focusing nonlinear Schrödinger 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.
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https://hal.archives-ouvertes.fr/hal-00651569
Contributor : Christophe Finot Connect in order to contact the contributor
Submitted on : Tuesday, December 13, 2011 - 6:47:25 PM
Last modification on : Thursday, January 13, 2022 - 12:00:14 PM

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M. Erkintalo, Bertrand Kibler, Kamal Hammani, Christophe Finot, Nail Akhmediev, et al.. Higher-Order Modulation Instability in Nonlinear Fiber Optics. Physical Review Letters, American Physical Society, 2011, 107, pp.253901. ⟨10.1103/PhysRevLett.107.253901⟩. ⟨hal-00651569⟩

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