Search results for "soliton"
showing 10 items of 534 documents
Collective variable theory for optical solitons in fibers
2000
We present a projection-operator method to express the generalized nonlinear Schrödinger equation for pulse propagation in optical fibers, in terms of the pulse parameters, called collective variables, such as the pulse width, amplitude, chirp, and frequency. The collective variable (CV) equations of motion are derived by imposing a set of constraints on the CVs to minimize the soliton dressing during its propagation. The lowest-order approximation of this CV approach is shown to be equivalent to the variational Lagrangian method. Finally, we demonstrate the application of this CV theory for pulse propagation in dispersion-managed optical fiber links.
Existence and dynamics of pairs of temporal cavity solitons weakly-bound through kelly sidebands in a passive optical fiber resonator
2015
We report experimental observations of weaklybound states of temporal cavity solitons, with separations of 10 soliton widths and beyond, in a 100-m single mode fiber cavity. Bound state dynamics has been studied using the real time dispersive Fourier transform technique for roundtrip-byroundtrip measurements. Temporal oscillations in the cavity soliton background, associated with the presence of Kelly sidebands, have been identified as the binding mechanism.
Singularity analysis and integrability for a HNLS equation governing pulse propagation in a generic fiber optics
2006
Abstract Taking into account many developments in fiber optics communications, we propose a higher nonlinear Schrodinger equation (HNLS) with variable coefficients, more general than that in [R. Essiambre, G.P. Agrawal, Opt. Commun. 131 (1996) 274], which governs the propagation of ultrashort pulses in a fiber optics with generic variable dispersion. The study of this equation is performed using the Painleve test and the zero-curvature method. Also, we prove the equivalence between this equation and its anomalous integrable counterpart (the so-called Sasa–Satsuma equation). Finally, in view of its physical relevance, we present a soliton solution which represents the propagation of ultrasho…
Experimental control over soliton interaction in optical fiber by pre-shaped input field
2011
Interactions between femtosecond solitons in a nonlinear photonic-crystal fiber are of fundamental interest. But many practical applications would abound if solitons could be arbitrarily superposed into multiples in the fiber. Here, we numerically and experimentally demonstrate a first step towards this aim, the creation of a soliton pair with arbitrary relative phase, delay, and frequency throughout almost the entire output parameter space with the aid of a pre-shaped fiber input field.
Supercontinuum to solitons: New nonlinear structures in fiber propagation
2010
We review our recent work in the field of optical rogue wave physics and applications. Beginning from a brief survey of the well-known noise and incoherence processes in optical fiber supercontinuum generation, we trace the links to recent developments in studying the emergence of high contrast localised breather structures in both spontaneous and induced nonlinear instabilities. In the latter case, we discuss our recent measurements that have reported the experimental observation of the Peregrine soliton, a unique class of rational soliton predicted to exist over 25 years ago and never previously observed.
Stable coupled conjugate solitary waves in optical fibers.
1998
Four-wave mixing of an intense continuous-wave pump beam with an ultrashort soliton signal in an optical fiber is theoretically analyzed. A novel class of stable two-color coupled solitary waves is found. These vector parametric solitons represent the optimal frequency conversion of an ultrashort pulse. © 1998 Optical Society of America.
Optical peregrine soliton generation in standard telecommunication fibers
2011
By combining real time characterization with cut-back measurements, we provide the first direct observation of Peregrine-like soliton longitudinal evolution dynamics and report a new effect associated with the breakup of a Peregrine soliton into two subpulses, each providing similar characteristics of localization upon finite background. Experimental results are in good agreement with simulations.
Incoherent solitons generated in instantaneous response nonlinear Kerr media
2004
We show theoretically and experimentally in an optical fiber system, that incoherent domain wall solitons can be generated spontaneously from incoherent light, despite of the instantaneous response of the fiber Kerr nonlinearity.
Theory of Raman effect on solitons in optical fibre systems: impact and control processes for high-speed long-distance transmission lines
2004
We examine the effects of stimulated Raman scattering on ultra-short pulses propagating in optical fibre systems. We demonstrate that the existing theories for the Raman-induced soliton self-frequency shift give consistent results in a restricted domain of pulse width which excludes important practical applications to high-speed soliton transmission systems. We present a general theory for the soliton self-frequency shift (SSFS), which applies to any pulse whose spectral bandwidth lies within the third-order telecommunication window. We also show that the harmful impact of the SSFS in high-speed long-distance transmission lines can be suppressed by use of filters whose central frequency is …
The cancellation of nonlinear and dispersive phase components on the fundamental optical fiber soliton: a pedagogical note
2001
We consider the separate effects of nonlinear and dispersive propagation on a hyperbolic secant pulse propagating in an optical fiber. In particular, for small propagation distances, we present a straightforward derivation of the time-varying phase components developed across the pulse due to self-phase modulation (SPM) and group velocity dispersion (GVD). In this limit, we show that GVD is associated with a nonparabolic temporal phase which can exactly cancel the nonlinear phase component due to SPM across the entire pulse profile. The cancellation condition gives the launch condition for a fundamental optical fiber soliton.