Coherence properties of Kerr frequency combs

Abstract

We use numerical simulations based on an extended Lugiato-Lefever equation (LLE) to investigate the stability properties of Kerr frequency combs generated in microresonators. In particular, we show that an ensemble average calculated over sequences of output fields separated by a fixed number of resonator roundtrips allows the coherence of Kerr combs to be quantified in terms of the complex-degree of first-order coherence. We identify different regimes of comb coherence, linked to the solutions of the LLE. Our approach provides a practical and unambiguous way of assessing the stability of Kerr combs that is directly connected to an accessible experimental quantity.

4 pages, 5 figures, revised version (minor clarifications and corrections), for Optics Letters

References in corpus (1)

• Optical combs with a crystalline whispering gallery mode resonator

Cited by in corpus (21)

• Photonic chip based optical frequency comb using soliton induced Cherenkov radiation
• Harnessing optical micro-combs for microwave photonics
• Stably accessing octave-spanning microresonator frequency combs in the soliton regime
• Walk-off-induced modulation instability, temporal pattern formation, and frequency comb generation in cavity-enhanced second-harmonic generation
• Emerging material systems for integrated optical Kerr frequency combs
• Modulation Instability Induced Frequency Comb Generation in a Continuously Pumped Optical Parametric Oscillator
• Observation of dispersive wave emission by temporal cavity solitons
• Third-order chromatic dispersion stabilizes Kerr frequency combs
• Phase Steps and Hot Resonator Detuning in Microresonator Frequency Combs
• Frequency comb formation in doubly resonant second-harmonic generation
• Experimental observation of coherent cavity soliton frequency combs in silica microspheres
• Writing and erasing of temporal cavity solitons by direct phase modulation of the cavity driving field
• Deterministic single soliton generation and compression in microring resonators avoiding the chaotic region
• 300 GHz generation based on a Kerr microresonator frequency comb stabilized to a low noise microwave reference
• Micro-resonator soliton generated directly with a diode laser
• Bunching of temporal cavity solitons via forward Brillouin scattering
• Origins of clustered frequency combs in Kerr microresonators
• Measurement of microresonator frequency comb stability by spectral interferometry
• Spectral characterization of a frequency comb based on cascaded quadratic nonlinearities inside an optical parametric oscillator
• Dynamics of temporal Kerr cavity solitons in the presence of rapid parameter inhomogeneities: from bichromatic driving to third-order dispersion
• Integrated tunable green light source on silicon nitride