1,721,125 research outputs found
Bifurcation and three-wave-mixing instabilities in nonlinear propagation in birefringent dispersive media
No full textPolarization modulationalal instability in a nonlinear dispersive birefringent medium refers to the exponential
growth of polarized sidebands due to mixing with an orthogonally polarized pump. We show
that this instability extends to the nonlinear regime of strong coupling between the waves. By reducing
the coupled nonlinear Schrodinger equations that govern the interaction to a finite-dimensional integrable
Hamiltonian system, we show that nonlinear modulational instability originates from bifurcations
of spatial eigensolutions of the three-wave interaction. Spatial recurrence of the field evolutions and
period doubling related to the existence of spatially unstable eigensolutions are relevant for applications
which make use of polarization modulational instability (or birefringence-matched third-order threewave
mixing) in the strong-depletion regime. In contrast to previous results obtained by means of linearized
equations, we find that efficient frequency conversion, when strong coupling is accounted for, occurs
for initially wave-vector-mismatched waves
Energy conversion in degenerate four-photon mixing in birefringent fibers
No full textWe predict that the third-order parametric mixing of a pump with a pair of orthogonally polarized sidebands in a birefringent single-mode optical fiber may be spatially unstable. The interaction may exhibit both periodic and nonperiodic energy conversion and period doubling. This analysis allows us to propose a new scheme for all-optical switching as well as to predict the most efficient conditions for energy conversion when pump depletion is accounted for
Spatial instability and bifurcations in the nonlinear third order three-wave mixing interaction in single-mode fibers
No full textSpatial instability and bifurcations in the nonlinear third order three-wave mixing interaction in single-mode fiber
Resonant radiation from Peregrine solitons
No full textWe investigate the phenomenon of resonant radiation emitted by Peregrine solitons. We show that, unlike bright or dark solitons of the nonlinear Schrödinger equation, the radiation process is affected by the intrinsic local longitudinal variation of the soliton wavenumber. We give a phase-matching condition that allows the prediction of the multiple spectral peaks of the resonant radiation
Excitation of switching waves in normally dispersive Kerr cavities
No full textA coherently pumped, passive cavity supports, in the normal dispersion regime, the propagation of still interlocked fronts or switching waves that form invariant localized temporal structures. We address theoretically the problem of the excitation of this type of wave packet. First, we map all the dynamical behaviors of the switching waves as a function of accessible parameters, namely, the cavity detuning and input energy deficiency, using box-like excitation of the intracavity field. Then we show how a good degree of control can be obtained by applying a negative or positive external pulsed excitation
Spatial Instability, All-Optical Limiting and Thresholding in Nonlinear Distributed Feedback Devices
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