Third-order chromatic dispersion stabilizes Kerr frequency combs
arXiv:1403.0903 · doi:10.1364/OL.39.002971
Abstract
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.
4 pages and 4 figures
References in corpus (12)
- Temporal solitons in optical microresonators
- All-optical signal processing platforms for CMOS compatible integrated nonlinear optics
- Modeling of octave-spanning Kerr frequency combs using a generalized mean-field Lugiato-Lefever model
- Octave-spanning frequency comb generation in a silicon nitride chip
- Spatiotemporal Model for Kerr Comb Generation in Whispering Gallery Mode Resonators
- Octave Spanning Frequency Comb on a Chip
- Ultra-weak long-range interactions of solitons observed over astronomical distances
- Route to stabilized ultrabroadband microresonator-based frequency combs
- Dynamics of localized and patterned structures in the Lugiato-Lefever equation determine the stability and shape of optical frequency combs
- Coherence properties of Kerr frequency combs
- Chaotic dynamics of frequency combs generated with continuously pumped nonlinear microresonators
- Dynamical instabilities of dissipative solitons in nonlinear optical cavities with nonlocal materials
Cited by in corpus (32)
- Solitons and frequency combs in silica microring resonators: Interplay of the Raman and higher-order dispersion effects
- Observation of dispersive wave emission by temporal cavity solitons
- Stable dark and bright soliton Kerr combs can coexist in normal dispersion resonators
- Bifurcation structure of localized states in the Lugiato-Lefever equation with anomalous dispersion
- Effect of Cherenkov radiation on localized states interaction
- Interaction of solitons and the formation of bound states in the generalized Lugiato-Lefever equation
- Impact of high-order effects on soliton explosions in the complex cubic-quintic Ginzburg-Landau equation
- Influence of Stimulated Raman Scattering on Kerr domain walls and localized structures
- Dynamics of Localized Structures in Systems with Broken Parity Symmetry
- Quartic Kerr cavity combs: Bright and dark solitons
- Effects of inhomogeneities and drift on the dynamics of temporal solitons in fiber cavities and microresonators
- Dissipative Kerr solitons, breathers and chimera states in coherently driven passive cavities with parabolic potential
- Existence and Switching Behavior of Bright and Dark Kerr Solitons in Whispering-Gallery Mode Resonators with Zero Group-Velocity Dispersion
- Cherenkov radiation induced symmetry breaking in counter propagating dissipative Kerr solitons
- Robust three-dimensional high-order solitons and breathers in driven dissipative systems: a Kerr cavity realization
- Parametric localized patterns and breathers in dispersive quadratic cavities
- Alumina coating for dispersion management in ultra-high Q microresonators
- Clusters of cavity solitons bounded by conical radiation
- Cavity solitons in a microring dimer with gain and loss
- Extended temporal Lugiato-Lefever equation and the effect of conjugate fields in optical resonator frequency combs
- Slow-light frequency combs and dissipative Kerr solitons in coupled-cavity waveguides
- A normal form for frequency combs and localized states in Kerr-Gires-Tournois interferometers
- Reversible Self-Replication of Spatio-Temporal Kerr Cavity Patterns
- Dynamics of temporal Kerr cavity solitons in the presence of rapid parameter inhomogeneities: from bichromatic driving to third-order dispersion
- Bandwidth and Conversion-Efficiency Analysis of Kerr Soliton Combs in Dual-Pumped Resonators with Anomalous Dispersion
- Impact of third order dispersion on nonlinear bifurcations in optical resonators
- Temporal localized states and square-waves in semiconductor micro-resonators with strong time-delayed feedback
- Emergence of collapsed snaking related dark and bright Kerr dissipative solitons with quartic-quadratic dispersion
- Aberration-driven tilted emission in degenerate cavities
- Normal dispersion Kerr cavity solitons: beyond the mean field limit
- Global continua of solutions to the Lugiato-Lefever model for frequency combs obtained by two-mode pumping
- Impact of phase modulation on the dynamics of temporal localized structures in injected Kerr microcavities