Self-organization in soliton modelocked parametric frequency combs

Abstract

We show that self-organization occurs in the phase dynamics of soliton modelocking in paramet- ric frequency combs. Reduction of the Lugiato-Lefever equation (LLE) to a simpler set of phase equations reveals that this self-organization arises via mechanisms akin to those in the Kuramoto model for synchronization of coupled oscillators. In addition, our simulations show that the phase equations evolve to a broadband phase-locked state, analogous to the soliton formation process in the LLE. Our simplified equations intuitively explain the origin of the pump phase offset in soliton- modelocked parametric frequency combs. They also predict that the phase of the intracavity field undergoes an anti-symmetrization that precedes phase synchronization, and they clarify the role of chaotic states in soliton formation in parametric combs.

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• Photonic chip based optical frequency comb using soliton induced Cherenkov radiation
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• Thermally Controlled Comb Generation and Soliton Modelocking in Microresonators
• Dynamics of localized and patterned structures in the Lugiato-Lefever equation determine the stability and shape of optical frequency combs
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Cited by in corpus (14)

• Synchronization of coupled optical microresonators
• Modulation Instability Induced Frequency Comb Generation in a Continuously Pumped Optical Parametric Oscillator
• In-phase and anti-phase synchronization in a laser frequency comb
• Phase Synchronization between Two Superradiant Lasers
• Self-synchronization Phenomena in the Lugiato-Lefever Equation
• Universal threshold and Arnold tongues in Kerr ring microresonators
• Threshold of complexity and Arnold tongues in Kerr ring microresonators
• Intracavity characterization of micro-comb generation in the single-soliton regime
• Synchronization Behavior in a Ternary Phase Model
• On-chip multi-timescale spatiotemporal optical synchronization
• Carrier envelope phase dynamics of cavity solitons: soliton stability and scaling law
• Temporal dissipative structures in optical Kerr resonators with transient loss fluctuation
• Characterizing pump line phase offset of a single-soliton Kerr comb by dual comb interferometry
• Kerr Superoscillator Model for Microresonator Frequency Combs