383 research outputs found
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
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
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
Third-order chromatic dispersion stabilizes Kerr frequency combs
Using numerical simulations of an extended Lugiato-Lefever equation, we
analyze the stability and nonlinear dynamics of Kerr frequency combs generated
in microresonators and fiber resonators taking into account third-order
dispersion effects. We show that cavity solitons underlying Kerr frequency
combs, normally sensitive to oscillatory and chaotic instabilities, are
stabilized in a wide range of parameter space by third-order dispersion.
Moreover, we demonstrate how the snaking structure organizing compound states
of multiple cavity solitons is qualitatively changed by third-order dispersion,
promoting an increased stability of Kerr combs underlined by a single cavity
soliton.Comment: 4 pages and 4 figure
Super cavity solitons and the coexistence of multiple nonlinear states in a tristable passive Kerr resonator
Passive Kerr cavities driven by coherent laser fields display a rich
landscape of nonlinear physics, including bistability, pattern formation, and
localised dissipative structures (solitons). Their conceptual simplicity has
for several decades offered an unprecedented window into nonlinear cavity
dynamics, providing insights into numerous systems and applications ranging
from all-optical memory devices to microresonator frequency combs. Yet despite
the decades of study, a recent theoretical study has surprisingly alluded to an
entirely new and unexplored paradigm in the regime where nonlinearly tilted
cavity resonances overlap with one another [T. Hansson and S. Wabnitz, J. Opt.
Soc. Am. B 32, 1259 (2015)]. We have used synchronously driven fiber ring
resonators to experimentally access this regime, and observed the rise of new
nonlinear dissipative states. Specifically, we have observed, for the first
time to the best of our knowledge, the stable coexistence of dissipative
(cavity) solitons and extended modulation instability (Turing) patterns, and
performed real time measurements that unveil the dynamics of the ensuing
nonlinear structures. When operating in the regime of continuous wave
tristability, we have further observed the coexistence of two distinct cavity
soliton states, one of which can be identified as a "super" cavity soliton as
predicted by Hansson and Wabnitz. Our experimental findings are in excellent
agreement with theoretical analyses and numerical simulations of the
infinite-dimensional Ikeda map that governs the cavity dynamics. The results
from our work reveal that experimental systems can support complex combinations
of distinct nonlinear states, and they could have practical implications to
future microresonator-based frequency comb sources.Comment: 13 pages, 6 figure
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