Coupled Lugiato-Lefever equation for nonlinear frequency comb generation at an avoided crossing of a microresonator

Abstract

Guided-mode coupling in a microresonator generally manifests itself through avoided crossings of the corresponding resonances. This coupling can strongly modify the resonator local effective dispersion by creating two branches that have dispersions of opposite sign in spectral regions that would otherwise be characterized by either positive (normal) or negative (anomalous) dispersion. In this paper, we study, both analytically and computationally, the general properties of nonlinear frequency comb generation at an avoided crossing using the coupled Lugiato-Lefever equation. In particular, we find that bright solitons and broadband frequency combs can be excited when both branches are pumped for a suitable choice of the pump powers and the detuning parameters. A deterministic path for soliton generation is found.

9 pages, 5 figures

References in corpus (5)

• A laser frequency comb that enables radial velocity measurements with a precision of 1 cm s${}^{-1}$
• Second-harmonic assisted four-wave mixing in chip-based microresonator frequency comb generation
• Dual pumped microresonator frequency combs
• Strong polarization mode coupling in microresonators
• Nonlinear mode coupling in whispering-gallery-mode resonators

Cited by in corpus (4)

• Observation of Arnold Tongues in Coupled Soliton Kerr Frequency Combs
• Modulational instability of nonlinear polarization mode coupling in microresonators
• Generation of Vector Platicons and Hybrid Soliton-Platicon Complexes in Optical Microresonators via Modulated Pump
• Stationary States and Instabilities of a Mobius Fibre Resonator