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Article
Optimization strategy to find shapes of soliton molecules
Frequently, a certain solution of a nonlinear wave equation is of interest, but no analytic form is known, and one must work with approximations. We introduce a search strategy to find solutions of the propaga...
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Article
Rogue wave formation by accelerated solitons at an optical event horizon
Rogue waves, by definition, are rare events of extreme amplitude. At the same time, they are surprisingly ubiquitous, in the sense that they can exist in a wide range of physical contexts and possess probabili...
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Article
A fiber Mach–Zehnder interferometer for the unique phase retrieval of ultrafast pulses with a 1 THz gap
Unique phase retrieval of ultrashort pulses with well-separated frequency components was demonstrated using a cross-correlation technique with a conditioning filter. Here, this filter was designed as an unbala...
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Article
A useful approximation for the cladding index of holey fibers
We present a simplified quantitative description of the effective refractive index of the cladding region in holey fibers. Our approximation is based on a smooth interpolation between two limiting cases. It re...
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Chapter
Compounds of Fiber-Optic Solitons
The concept of solitons is making inroads into industrial applications. In optical telecommunications, we see the beginning of the commercial utilization of temporal solitons – short pulses of light traveling ...
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Article
Soliton content of arbitrarily shaped light pulses in fibers analysed using a soliton-radiation beat pattern
Arbitrarily shaped light pulses propagating down a fiber may contain one or several solitons and a radiative background. A novel computer-assisted method is introduced to identify the composition. This techniq...
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Article
Soliton propagation in a dispersion map with deviation from periodicity
Solitons in dispersion-managed fibers are a particular case of a periodically perturbed nonlinear system. Since in practice random deviations from strict periodicity of the dispersion alternation are unavoidab...
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Article
Experimental investigation of Risken–Nummedal–Graham–Haken laser instability in fiber ring lasers
It has been suggested (by Pessina et al. in 1997) that the observed spontaneous mode beating of erbium-doped-fiber ring lasers can be explained as the multimode instability described in 1968 by Risken and Numm...
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Article
Role of field losses on the Risken–Nummedal–Graham–Haken laser instability: application to erbium-doped fibre lasers
We analyse the effect of both distributed and localised losses in a laser cavity on the Risken–Nummedal–Graham–Haken multimode instability. For two-level lasers, distributed losses are found to have a negligib...
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Article
Manipulation of soliton ensembles by spectral filters
It was shown recently that an ensemble of solitons can be created in a driven optical fiber resonator. The ensemble can exist in either an ordered or a disordered state; these have been referred to as soliton ...
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Article
Superluminal pulse propagation in an erbium fiber laser
It is well known that saturating gain media can give rise to superluminal pulse propagation velocity. In most mode-locked lasers the effect is unmeasurably small and has not yet been directly demonstrated. We ...
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Article
Self-stabilizing additive-pulse mode-locking due to thermo-optical non-linearity in an optical fiber
, 1671 (1991)] described a Nd:YLF APM laser which somehow automatically adjusted the relative resonator phase. We reproduce this behavior and analyse its origin. Thermal effects due to the light power guided i...
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Article
Systematic evaluation and prediction of the pulse width of synchronously pumped lasers
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Article
On the pulse width of synchronously pumped lasers
The pulse width of a synchronously pumped laser chiefly depends on the available cavity bandwidth and the pump-pulse duration. A functional form of this dependence was suggested in the literature. We present a...
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Article
Longitudinal structure formation in a nonlinear resonator
A fiber ring resonator, synchronously driven by picosecond pulses, exhibits a spatiotemporal instability. A rapid modulation in the pulse envelope is spontaneously formed and evolves dynamically. This structur...
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Chapter and Conference Paper
Solitonlike Structures in a Chaotic Ring Resonator
Solitons in optical fibers are stable entities that maintain their shape in spite of even quite severe perturbations1. We recently perforated an experiment in which solitonlike structures emerge from an optical s...
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Article
Velocity of pulse propagation in media with amplitude nonlinearity
The propagation velocity of optical wave fronts can be accelerated by the influence of gain saturation. We report systematic measurements for the specific case of Brillouin gain in optical fibers. A simplified...
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Article
Additive pulse mode-locked Nd: YAG laser
Additive pulse mode locking applied to lamppumped Nd: YAG lasers results in an attractive source of picosecond pulses at 1.06 μm or 1.32 μm with average powers at the Watt level. We provide detailed informatio...
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Article
On the detection of deterministic structures in irregular signals
The recently proposed method of surrogate data gives a quantitative criterion for the decision whether a signal is either deterministically chaotic or stochastic. We apply this technique to both numerical and ...
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Article
Complexity out of a simple structure: The intricate multistable behaviour of an optical resonator filled with sodium atoms
A Fabry-Perot resonator containing sodium atoms displays a variety of switching phenomena even in the simplified case of homogeneous broadening. The processes are shown to arise from the combined effects of Ze...