Soliton and quasi-soliton frequency combs due to second harmonic generation in microresonators

Abstract

We report how a doublet of the symmetric oppositely tilted bistable resonance peaks in a microring resonator with quadratic nonlinearity set for generation of the second harmonic can transform into a Kerr-like peak on one side of the linear cavity resonance and into a closed loop structure disconnected from the quasi-linear resonance on the other. Both types of the nonlinear resonances are associated with the formation of the soliton combs for dispersion profiles of a typical LiNbO${}_3$ microring. We report bright quasi-solitons propagating on a weakly modulated low intensity background when the group velocity dispersions have the opposite signs for the fundamental and second harmonic. We also show exponentially localized solitons when the dispersion signs are the same. Finally, we demonstrate that the transition between these two types of soliton states is associated with the closure of the forbidden gap in the spectrum of quasi-linear waves.

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Cited by in corpus (20)

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• Frequency comb generation threshold in ${\chi }^{(2)}$ optical microresonators
• Parametric localized patterns and breathers in dispersive quadratic cavities
• Coupled-mode theory for microresonators with quadratic nonlinearity
• Walk-off controlled self-starting frequency combs in ${\chi }^{(2)}$ optical microresonators
• Bright-soliton frequency combs and dressed states in chi(2) microresonators
• Nonlinear solutions for χ^(2) frequency combs in optical microresonators
• Localized structures formed through domain wall locking in cavity-enhanced second-harmonic generation
• Dark quadratic localized states and collapsed snaking in doubly resonant dispersive cavity enhanced second harmonic generation
• Two-color flat-top solitons in microresonator-based optical parametric oscillators
• Two-color flat-top solitonic pulses in ${\chi }^{(2)}$ optical microresonators via second harmonic generation
• Modeling of quasi-phase-matched cavity enhanced second harmonic generation
• Dual backgrounds and their stability during ${\chi }^{(2)}$ comb generation in microresonators
• Walk-off induced dissipative breathers and dissipative breather gas in microresonators
• Fine structure of second-harmonic resonances in χ^{(2)} optical microresonators
• Vortex to Rotons Transition in Dipolar Bose-Einstein Condensates