Quadratic Soliton Combs in Doubly-Resonant Second-Harmonic Generation

Abstract

We report a theoretical investigation of quadratic frequency combs in a dispersive second-harmonic generation cavity system. We identify different dynamical regimes and demonstrate that the same system can exhibit both bright and dark localized cavity solitons in the absence of a temporal walk-off.

arXiv comment5 pages, 5 figures

References in corpus (6)

• Optical frequency comb generation from a monolithic microresonator
• Walk-off-induced modulation instability, temporal pattern formation, and frequency comb generation in cavity-enhanced second-harmonic generation
• Modulation Instability Induced Frequency Comb Generation in a Continuously Pumped Optical Parametric Oscillator
• Frequency comb generation in quadratic nonlinear media
• Frequency comb formation in doubly resonant second-harmonic generation
• Bifurcation structure of localized states in the Lugiato-Lefever equation with anomalous dispersion

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• Optical frequency combs in quadratically nonlinear resonators
• Localized structures in dispersive and doubly resonant optical parametric oscillators
• Parametric localized patterns and breathers in dispersive quadratic cavities
• Thermal instabilities, frequency comb formation, and temporal oscillations in Kerr microresonators
• 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
• Bistable soliton optical frequency combs in a second harmonic generation Kerr cavity
• 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