Modulational instability of nonlinear polarization mode coupling in microresonators

Abstract

We investigate frequency comb generation in the presence of polarization effects induced by nonlinear mode coupling in microresonator devices. A set of coupled temporal Lugiato-Lefever equations are derived to model the propagation dynamics, and an in-depth study is made of the modulational instability of their multistable homogeneous steady-state solutions. It is shown that new kinds of instabilities can occur for co-propagating fields that interact through nonlinear cross-phase modulation. These instabilities display properties that differ from their scalar counterpart, and are shown to result in the generation of new types of incoherently coupled frequency comb states.

arXiv comment8 pages, 7 figures

References in corpus (9)

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• Soliton crystals in Kerr resonators
• Dynamics of the Modulational Instability in Microresonator Frequency Combs
• Universal mechanism for the binding of temporal cavity solitons
• Frequency comb generation beyond the Lugiato-Lefever equation: multi-stability and super cavity solitons
• Hard and Soft Excitation Regimes of Kerr Frequency Combs
• Nonlinear mode coupling in whispering-gallery-mode resonators
• Coupled Lugiato-Lefever equation for nonlinear frequency comb generation at an avoided crossing of a microresonator
• Orthogonally Polarized Kerr Frequency Combs

Cited by in corpus (8)

• Spectral Extension and Synchronisation of Microcombs in a Single Microresonator
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• Coexistence of vector soliton Kerr combs in normal dispersion resonators
• Polarization modulation instability in a nonlinear fiber Kerr resonator
• Generation of Vector Platicons and Hybrid Soliton-Platicon Complexes in Optical Microresonators via Modulated Pump
• Modulation instability of Kerr optical frequency combs in dual-coupled optical cavities
• Vectorial dark dissipative solitons in Kerr resonators
• Intra-cavity field dynamics near avoided mode crossing in concentric silicon nitride ring resonator