Slow-Light Spatial Solitons

Fanjoux, Gil; Michaud, J.; Maillotte, H.; Sylvestre, Thibaut

doi:10.1103/physrevlett.100.013908

Cited by 25 publications

(19 citation statements)

References 25 publications

(26 reference statements)

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“…We present the theory in the context of nonlinear optics because fibers [21,22] and waveguides [23] turn out to be ideal experimental test beds for our predictions, thanks to the easily tailorable noninstantaneous response via the well-known Raman effect, as well as other recently investigated mechanisms involving liquid cores or photoionizable noble gases and surface plasmon polaritons [24]. Nevertheless, given the universality of the nonlinear Schrödinger equation (NLSE), incoherent DSWs shed new light on singular nonequilibrium behaviors of a large variety of turbulent wave systems [25,26].…”

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confidence: 99%

Incoherent Dispersive Shocks in the Spectral Evolution of Random Waves

Garnier

Trillo

et al. 2013

Phys. Rev. Lett.

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We predict theoretically and numerically the existence of incoherent dispersive shock waves. They manifest themselves as an unstable singular behavior of the spectrum of incoherent waves that evolve in a noninstantaneous nonlinear environment. This phenomenon of "spectral wave breaking" develops in the weakly nonlinear regime of the random wave. We elaborate a general theoretical formulation of these incoherent objects on the basis of a weakly nonlinear statistical approach: a family of singular integro-differential kinetic equations is derived, which provides a detailed deterministic description of the incoherent dispersive shock wave phenomenon.

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confidence: 99%

Incoherent Dispersive Shocks in the Spectral Evolution of Random Waves

Garnier

Trillo

et al. 2013

Phys. Rev. Lett.

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“…Besides its fundamental interest, optical fibers and waveguides [29] turn out to be ideal testbeds for the experimental verification of our predictions, thanks to the easily tailorable Raman response function, as well as other recently investigated mechanisms involving liquid or gas-filled photonic crystal fibers (PCF), as well as surface plasmon polariton systems [30][31][32][33][34][35][36][37].…”

Section: Introductionmentioning

confidence: 86%

Incoherent Shock and Collapse Singularities in Non-Instantaneous Nonlinear Media

Fusaro

Garnier

et al. 2018

Applied Sciences

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We study the dynamics of a partially incoherent optical pulse that propagates in a slowly responding nonlinear Kerr medium. We show that irrespective of the sign of the dispersion (either normal or anomalous), the incoherent pulse as a whole exhibits a global collective behavior characterized by a dramatic narrowing and amplification in the strongly non-linear regime. The theoretical analysis based on the Vlasov formalism and the method of the characteristics applied to a reduced hydrodynamic model reveal that such a strong amplitude-incoherent pulse originates in the existence of a concurrent shock-collapse singularity (CSCS): The envelope of the intensity of the random wave exhibits a collapse singularity, while the momentum exhibits a shock singularity. The dynamic behavior of the system after the shock-collapse singularity is characterized through the analysis of the phase-space dynamics.

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“…This is because the electric-dipole matrix element p 31 of the present molecular system is about three orders smaller than that of the atomic systems. However, this is still a drastic contrast to conventional media such as glass-based optical fibers, where picosecond or femtosecond laser pulses are usually needed to reach a very high peak power from kilowatts to megawatts to bring out the enough nonlinear effect required for the formation of spatial optical solitons [46,47].…”

Section: Weak-light Spatial Solitonsmentioning

confidence: 99%

Phase-controlled optical switching and slow- and weak-light solitons in a coherent molecular system with permanent dipole moments

Hang

Huang

2014

J. Opt. Soc. Am. B

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We investigate the linear and nonlinear light pulse propagations in a three-level Λ-type molecular system with permanent dipole moments via electromagnetically induced transparency (EIT). We find that EIT characters in such a system depend strongly on the phase of control field, based on which a phase-controlled optical switch can be designed. We show that the Kerr nonlinearity of the system can be largely enhanced due to the controlfield-induced quantum interference effect. We derive a nonlinear Schrödinger equation for the evolution of the probe-field envelope and demonstrate that it is possible to generate stable slow-and weak-light solitons in the system.

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Slow-Light Spatial Solitons

Cited by 25 publications

References 25 publications

Incoherent Dispersive Shocks in the Spectral Evolution of Random Waves

Incoherent Dispersive Shocks in the Spectral Evolution of Random Waves

Incoherent Shock and Collapse Singularities in Non-Instantaneous Nonlinear Media

Phase-controlled optical switching and slow- and weak-light solitons in a coherent molecular system with permanent dipole moments

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