Abstract
We theoretically and numerically investigate the stability and transient attraction dynamics of flat-top solitons (or platicons) in normal group velocity dispersion (GVD) microcavity via modulation-assisted four wave mixing instead of mode interaction. The spatial bifurcation structure of the stationary states depending on modulation power, pump power and cavity detuning is mapped, indicating a significantly extended existence range by the modulation-assisted approach. We explore the transformation between discrete energy spectrum of dark solitons and a quasi-continuous spectrum of platicons with and without a third-order dispersion and identify the connections between these two states. Robust trapping and manipulation of temporal platicons is also verified by implementation of phase modulation, and explained by transient attraction dynamics. One may manipulate the duration of the pulse by varying modulation power, pump power, or cavity detuning. Specifically, the effect of high-order dispersion on Kerr frequency comb generation is studied, and the results show that different orders of GVD term affect the 3dB comb bandwidth, repetition rate, spectral position of dispersive waves, as well as temporal profile and pulse peak power.
Highlights
Microresonator-based Kerr frequency comb have been a promising platform exhibiting compact size, high repetition rate, and wide bandwidth, with great potential in both fundamental and applied fields such as light detection and ranging (LIDAR) [1], [2], microphotonic astrocombs [3], satellite communications, and optical clocks [4]
With the help of our theoretical and numerical models, the existence and stability regions are mapped out in the parameter space (δ, |f0|2) across a wide range of parameters, which shows that the excitation domain strongly depends on the modulation power, pump power, and cavity detuning, leading to extended parameters range outside the restricted band of conventional dark states
We find that the flat-top solitons generated in a Kerr cavity, generally sensitive to third-order dispersion, can be stabilized in a wide range of parameter space by the single sideband modulation approach
Summary
Microresonator-based Kerr frequency comb have been a promising platform exhibiting compact size, high repetition rate, and wide bandwidth, with great potential in both fundamental and applied fields such as light detection and ranging (LIDAR) [1], [2], microphotonic astrocombs [3], satellite communications, and optical clocks [4]. The investigations were not put in the content of deterministic formation process, transient attraction dynamics, existence range of robust states, as well as the effect of high-order chromatic dispersion before the current contribution, and a comprehensive study where the behaviors of platicons are associated with parameter space is scarce. Further investigations into this normal GVD architecture, especially the deterministic formation process and transient drifting dynamics of temporal dissipative platicons patterns are interesting. Reliable way to achieve high pump-to-soliton energy conversion, multi-parameter tunable, and repetition-rate-selectable microcombs for normal GVD microresonators
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