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Impact of self-steepening on incoherent dispersive spectral shocks and collapse-like spectral singularities

Abstract : Incoherent dispersive shock waves and collapselike singularities have been recently predicted to occur in the spectral evolution of an incoherent optical wave that propagates in a noninstantaneous nonlinear medium. Here we extend this work by considering the generalized nonlinear Schrödinger equation. We show that self-steepening significantly affects these incoherent spectral singularities: (i) It leads to a delay in the development of incoherent dispersive shocks, and (ii) it arrests the incoherent collapse singularity. Furthermore, we show that the spectral collapselike behavior can be exploited to achieve a significant enhancement (by two orders of magnitudes) of the degree of coherence of the optical wave.
Keywords : statistical optics
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https://hal.archives-ouvertes.fr/hal-01108787
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Submitted on : Friday, January 23, 2015 - 2:40:33 PM
Last modification on : Friday, March 27, 2020 - 3:13:28 AM

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Gang Xu, Josselin Garnier, Stefano Trillo, Antonio Picozzi. Impact of self-steepening on incoherent dispersive spectral shocks and collapse-like spectral singularities. Physical Review A, American Physical Society, 2014, 90 (1), pp.013828. ⟨10.1103/PhysRevA.90.013828⟩. ⟨hal-01108787⟩

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