Walk-off controlled self-starting frequency combs in ${\chi }^{(2)}$ optical microresonators

Abstract

Investigations of frequency combs in ${\chi }^{(3)}$ optical microresonators are burgeoning nowadays. Changeover to ${\chi }^{(2)}$ resonators promises further advances and brings new challenges. Here, the comb generation entails not only coupled first and second harmonics (FHs and SHs) and two dispersion coefficients, but also a substantial difference in the group velocities - the spatial walk-off. We predict walk-off controlled highly stable comb generation, drastically different from that known in the ${\chi }^{(3)}$ case. This includes the general notion of antiperiodic state, formation of coherent antiperiodic steady states (solitons), where the FH and SH envelopes move with a common velocity without shape changes, characterization of the family of antiperiodic steady states, and the dependence of comb spectra on the pump power and the group velocity difference.

arXiv comment6 pages, 6 figures

References in corpus (18)

• Optical frequency comb generation from a monolithic microresonator
• Temporal solitons in optical microresonators
• Universal Dynamics of Kerr Frequency Comb Formation in Microresonators
• Breaking the Loss Limitation of On-chip High-confinement Resonators
• Octave Spanning Frequency Comb on a Chip
• Nonlinear and Quantum Optics with Whispering Gallery Resonators
• Naturally-phasematched second harmonic generation in a whispering gallery mode resonator
• Highly tunable low-threshold optical parametric oscillation in radially poled whispering gallery resonators
• 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 generation via cascaded second-order nonlinearities in microresonators
• Frequency comb formation in doubly resonant second-harmonic generation
• Quadratic Soliton Combs in Doubly-Resonant Second-Harmonic Generation
• Frequency combs in a microring optical parametric oscillator
• Soliton and quasi-soliton frequency combs due to second harmonic generation in microresonators
• Experimental observation of internally-pumped parametric oscillation and quadratic comb generation in a ${\chi }^{(2)}$ whispering-gallery-mode microresonator
• Nonlinear solutions for χ^(2) frequency combs in optical microresonators

Cited by in corpus (5)

• Frequency comb generation threshold in ${\chi }^{(2)}$ optical microresonators
• Dual backgrounds and their stability during ${\chi }^{(2)}$ comb generation in microresonators
• Fine structure of second-harmonic resonances in χ^{(2)} optical microresonators
• Optical-parametric-oscillation-based ${\chi }^{(2)}$ frequency comb in a lithium niobate microresonator
• Deterministic generation of parametrically driven dissipative Kerr soliton