Origins of clustered frequency combs in Kerr microresonators
Noel Lito B. Sayson, Hoan Pham, Karen E. Webb, Vincent Ng, Luke S., Trainor, Harald G. L. Schwefel, St\'ephane Coen, Miro Erkintalo, Stuart G., Murdoch

TL;DR
This paper explains the physical mechanisms behind the formation of clustered frequency combs in Kerr microresonators, highlighting the role of phase-matching and anomalous dispersion, supported by experiments and simulations.
Contribution
It provides a detailed physical explanation for the formation of clustered combs, combining experimental data and numerical simulations to validate the theory.
Findings
Phase-matching enables sidebands to experience anomalous dispersion.
Anomalous dispersion in sidebands drives frequency comb formation.
Experimental and simulation results confirm the proposed mechanism.
Abstract
Recent experiments have demonstrated the generation of widely-spaced parametric sidebands that can evolve into "clustered" optical frequency combs in Kerr microresonators. Here we describe the physics that underpins the formation of such clustered comb states. In particular, we show that the phase-matching required for the initial sideband generation is such that (at least) one of the sidebands experiences anomalous dispersion, enabling that sideband to drive frequency comb formation via degenerate and non-degenerate four-wave mixing. We validate our proposal through a combination of experimental observations made in a magnesium-fluoride microresonator and corresponding numerical simulations. We also investigate the coherence properties of the resulting clustered frequency combs. Our findings provide valuable insights on the generation and dynamics of widely-spaced parametric sidebands…
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