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

Gang Xu, Josselin Garnier, Stefano Trillo, and Antonio Picozzi
Phys. Rev. A 90, 013828 – Published 22 July 2014

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.

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  • Received 14 May 2014

DOI:https://doi.org/10.1103/PhysRevA.90.013828

©2014 American Physical Society

Authors & Affiliations

Gang Xu1, Josselin Garnier2, Stefano Trillo3, and Antonio Picozzi1

  • 1Laboratoire Interdisciplinaire Carnot de Bourgogne–CNRS, University of Burgundy, 21078 Dijon, France
  • 2Laboratoire de Probabilités et Modèles Aléatoires, University Paris Diderot, 75205 Paris Cedex 13, France
  • 3Department of Engineering, University of Ferrara, Via Saragat 1, 44122 Ferrara, Italy

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Vol. 90, Iss. 1 — July 2014

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