Single envelope equation modelling of multi-octave comb arrays in microresonators with quadratic and cubic nonlinearity

Abstract

We numerically study, by means of the single envelope equation, the generation of optical frequency combs ranging from the visible to the mid-infrared spectral regions in resonators with quadratic and cubic nonlinearities. Phase-matched quadratic wave-mixing processes among the comb lines can be activated by low-power continuous wave pumping in the near infrared of a radially poled lithium niobate whispering gallery resonator (WGR). We examine both separate and co-existing intra-cavity doubly resonant second-harmonic generation and parametric oscillation processes, and find that modulation instabilities may lead to the formation of coupled comb arrays extending over multiple octaves. In the temporal domain, the frequency combs may correspond to pulse trains, or isolated pulses.

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Cited by in corpus (14)

• Integrated photonics on thin-film lithium niobate
• Second-harmonic assisted four-wave mixing in chip-based microresonator frequency comb generation
• Emerging material systems for integrated optical Kerr frequency combs
• Modulation Instability Induced Frequency Comb Generation in a Continuously Pumped Optical Parametric Oscillator
• Frequency comb generation via cascaded second-order nonlinearities in microresonators
• Temporal Simultons in Optical Parametric Oscillators
• Optical frequency combs in quadratically nonlinear resonators
• Experimental observation of internally-pumped parametric oscillation and quadratic comb generation in a ${\chi }^{(2)}$ whispering-gallery-mode microresonator
• Parametrically tunable soliton-induced resonant radiation by three-wave mixing
• Coupled-mode theory for microresonators with quadratic nonlinearity
• Soliton trapping and comb self-referencing in a single microresonator with ${\chi }^{(2)}$ and ${\chi }^{(3)}$ nonlinearities
• Frequency-domain model of optical frequency-comb generation in optical resonators with second- and third-order nonlinearities
• Carrier-resolved real-field theory of multi-octave frequency combs
• Soliton regulation in microcavities induced by fundamental-second-harmonic mode coupling