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Showing papers by "Guy Millot published in 2014"


Journal ArticleDOI
TL;DR: In this article, a unified theoretical formulation of statistical nonlinear optics on the basis of the wave turbulence theory is presented, which provides a nonequilibrium thermodynamic description of the system of incoherent nonlinear waves.

227 citations


Journal ArticleDOI
TL;DR: In this article, a new experiment using four-wave mixing to generate multiple undular bores and their interactions in optical fibers provides an opportunity to study them in a laboratory setting, where the conditions needed to create them also occur in optical systems.
Abstract: Undular bores, e.g., large tidal waves that travel upstream in river estuaries, are a fascinating nonlinear wave phenomenon. The conditions needed to create them also occur in optical systems. A new experiment using four-wave mixing to generate multiple undular bores and their interactions in optical fibers provides an opportunity to study them in a laboratory setting.

85 citations


Journal ArticleDOI
TL;DR: In this article, a wave generator of complex solutions of the nonlinear Schrodinger equation (NLSE) combining both intensity and phase spectral shaping of an initial optical frequency comb with subsequent nonlinear propagation in an optical fiber is reported.
Abstract: We report a wave generator of complex solutions of the nonlinear Schrodinger equation (NLSE) combining both intensity and phase spectral shaping of an initial optical frequency comb with subsequent nonlinear propagation in an optical fiber. We apply the explicit analytical form of the two-breather solutions of the NLSE as a linear spectral filter to shape ideal modulation of a continuous wave. The additional nonlinear propagation of the tailored wave provides experimental evidence of both the growth and decay of the fundamental second-order periodic breather solution. The temporal and spectral profiles of the higher-order breather are in excellent agreement with the corresponding analytical solution.

43 citations


Journal ArticleDOI
TL;DR: In this article, a review of polarization stabilization techniques based on the polarization attraction effect in low-birefringence fibers is presented, including cross-polarization modulation, parametric amplification, and Raman or Brillouin scattering.
Abstract: We review polarization stabilization techniques based on the polarization attraction effect in low-birefringence fibers. Polarization attraction or pulling may be based on cross-polarization modulation, on parametric amplification, and on Raman or Brillouin scattering. We also review methods for laser frequency conversion based on polarization modulation instabilities in low- and high-birefringence fibers, and photonic crystal fibers. Polarization instabilities in nonlinear fibers may also be exploited for sensing applications.

37 citations


Journal ArticleDOI
TL;DR: In this paper, the authors investigate the polarization attraction in a highly birefringent fiber and show that all polarization states of the forward beam are attracted toward a specific line of polarization states on the surface of the Poincare sphere, whose characteristics are determined by the polarization state of the injected backward beam.
Abstract: We investigate the phenomenon of polarization attraction in a highly birefringent fiber. This polarization process originates from the nonlinear interaction of two counter-propagating beams. We show that all polarization states of the forward (signal) beam are attracted toward a specific line of polarization states on the surface of the Poincare sphere, whose characteristics are determined by the polarization state of the injected backward (pump) beam. This phenomenon of polarization attraction takes place without any loss of energy for the signal beam. The stability of different stationary solutions is also discussed through intensive numerical simulations. On the basis of mathematical techniques recently developed for the study of Hamiltonian singularities, we provide a detailed description of this spontaneous polarization process. In several particular cases of interest, the equation of the line of polarization attraction on the Poincare sphere can be obtained in explicit analytical form.

10 citations


Proceedings ArticleDOI
24 Nov 2014
TL;DR: In this article, the first experimental observation of cross-polarization modulation activated modulation instability in the normal dispersion regime of a randomly birefringent telecom optical fiber was presented.
Abstract: We present the first experimental observation of cross-polarization modulation activated modulation instability in the normal dispersion regime of a randomly birefringent telecom optical fiber. The instability is induced by two wavelength-division-multiplexed and orthogonally polarized pumps.

4 citations


Proceedings ArticleDOI
27 Jul 2014
TL;DR: In this article, the authors observed polarization modulation instability in the normal dispersion regime of randomly birefringent multi-km telecom optical fiber and pumped by two wavelength multiplexed and orthogonally polarized intense continuous lasers.
Abstract: We observed polarization modulation instability in the normal dispersion regime of randomly birefringent multi-km telecom optical fiber. The instability is pumped by two wavelength multiplexed and orthogonally polarized intense continuous lasers.

2 citations


Proceedings ArticleDOI
29 Dec 2014
TL;DR: In this article, the experimental observation of self-polarization of light in optical fibers through a counter-propagating four-wave mixing between an incident signal and its backward replica is presented.
Abstract: We report the experimental observation of self-polarization of light in optical fibers through a counter-propagating four-wave mixing between an incident signal and its backward replica. An efficient self-polarization of a 40-Gbit/s signal is demonstrated.

1 citations


Proceedings ArticleDOI
27 Jul 2014
TL;DR: In this article, the authors review different formalisms describing incoherent waves: the wave turbulence kinetic equation, the Vlasov equation in analogy with Gravitation, the weak Langmuir turbulence equation describing spectral solitons and incoherent dispersive shocks.
Abstract: We review different formalisms describing incoherent waves: the wave turbulence kinetic equation, the Vlasov equation in analogy with Gravitation, the weak Langmuir turbulence equation describing spectral solitons and incoherent dispersive shocks.

29 Oct 2014
TL;DR: In this paper, the propagation non-lineaire propagation of impulsions, appelees flaticons, subissent une evolution auto-similaire de leur partie centrale and presentent des oscillations temporelles marquees dans leurs flancs.
Abstract: Nous etudions experimentalement la propagation non-lineaire d'une onde continue menant a l'emergence d'impulsions au sommet plat et sans derive de frequence. Ces impulsions, appelees flaticons, subissent une evolution auto-similaire de leur partie centrale et presentent des oscillations temporelles marquees dans leurs flancs.

Proceedings ArticleDOI
27 Jul 2014
TL;DR: In this paper, the authors investigate the nonlinear reshaping of a continuous wave which leads to chirp-free and flat-top intense pulses or flaticons exhibiting strong temporal oscillations at their edges and a stable self-similar expansion upon propagation of their central region.
Abstract: We experimentally investigate the nonlinear reshaping of a continuous wave which leads to chirp-free and flat-top intense pulses or flaticons exhibiting strong temporal oscillations at their edges and a stable self-similar expansion upon propagation of their central region.