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Journal Articles Modern Physics Letters A Year : 2011

Universal triangular spectra in parametrically-driven systems

Abstract

We analyse triangular spectra that appear in many branches of physics that deal with parametrically-driven systems, and give a simple theoretical analysis for them in terms of the nonlinear dynamics of multimode fields. Such spectra appear universally as a result of an exponential decay of the nonlinearly generated frequency modes of many parametrically-driven systems, and have been confirmed by recent observations of noise-driven supercontinuum generation in optical fibers. We demonstrate that such universal triangular spectra (UTS) can be well-described by the analytical expressions for the spectra of Akhmediev breather (AB) solutions at the point of maximal compression.
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Dates and versions

hal-00582946 , version 1 (12-04-2021)

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N. Akhmediev, A. Ankiewicz, J.M. Soto-Crespo, J.M. Dudley. Universal triangular spectra in parametrically-driven systems. Modern Physics Letters A, 2011, 375 (3), pp.775-779. ⟨10.1016/j.physleta.2010.11.044⟩. ⟨hal-00582946⟩
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