134 research outputs found
Universal scaling laws of Kerr frequency combs
Using the known solutions of the Lugiato-Lefever equation, we derive
universal trends of Kerr frequency combs. In particular, normalized properties
of temporal cavity soliton solutions lead us to a simple analytic estimate of
the maximum attainable bandwidth for given pump-resonator parameters. The
result is validated via comparison with past experiments encompassing a diverse
range of resonator configurations and parameters.Comment: 3 pages, 3 figures. Submitted to Optics Letters on 28 March 201
Modeling of octave-spanning Kerr frequency combs using a generalized mean-field Lugiato-Lefever model
A generalized Lugiato-Lefever equation is numerically solved with a
Newton-Raphson method to model Kerr frequency combs. We obtain excellent
agreement with past experiments, even for an octave-spanning comb. Simulations
are much faster than with any other technique despite including more modes than
ever before. Our study reveals that Kerr combs are associated with temporal
cavity solitons and dispersive waves, and opens up new avenues for the
understanding of Kerr comb formation.Comment: 3 pages, 3 figures. Submitted to Optics Letters on 31 October 2012,
accepted with minor/optional revisions. This version is the revised
manuscrip
Observation of dispersive wave emission by temporal cavity solitons
We examine a coherently-driven, dispersion-managed, passive Kerr fiber ring
resonator and report the first direct experimental observation of dispersive
wave emission by temporal cavity solitons. Our observations are in excellent
agreement with analytical predictions and they are fully corroborated by
numerical simulations. These results lead to a better understanding of the
behavior of temporal cavity solitons under conditions where higher-order
dispersion plays a significant role. Significantly, since temporal cavity
solitons manifest themselves in monolithic microresonators, our results are
likely to explain the origins of spectral features observed in broadband Kerr
frequency combs.Comment: 4 pages, 3 figure
Observations of spatiotemporal instabilities in the strong-driving regime of an AC-driven nonlinear Schr\"odinger system
Localized dissipative structures (LDS) have been predicted to display a rich
array of instabilities, yet systematic experimental studies have remained
scarce. We have used a synchronously-driven optical fiber ring resonator to
experimentally study LDS instabilities in the strong-driving regime of the
AC-driven nonlinear Schr\"odinger equation (also known as the Lugiato-Lefever
model). Through continuous variation of a single control parameter, we have
observed a string of theoretically predicted instability modes, including
irregular oscillations and chaotic collapses. Beyond a critical point, we
observe behaviour reminiscent of a phase transition: LDSs trigger localized
domains of spatiotemporal chaos that invade the surrounding homogeneous state.
Our findings directly confirm a number of theoretical predictions, and they
highlight that complex LDS instabilities can play a role in experimental
systems.Comment: 6 pages, 4 figure
Observation of soliton explosions in a passively mode-locked fiber laser
Soliton explosions are among the most exotic dissipative phenomena studied in
mode-locked lasers. In this regime, a dissipative soliton circulating in the
laser cavity experiences an abrupt structural collapse, but within a few
roundtrips returns to its original quasi-stable state. In this work we report
on the first observation of such events in a fiber laser. Specifically, we
identify clear explosion signatures in measurements of shot-to-shot spectra of
an Yb-doped mode-locked fiber laser that is operating in a transition regime
between stable and noise-like emission. The comparatively long,
all-normal-dispersion cavity used in our experiments also permits direct
time-domain measurements, and we show that the explosions manifest themselves
as abrupt temporal shifts in the output pulse train. Our experimental results
are in good agreement with realistic numerical simulations based on an
iterative cavity map.Comment: 5 pages, 5 figures, submitte
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