The multi-resonant Lugiato-Lefever model

Abstract

We introduce a new model describing multiple resonances in Kerr optical cavities. It perfectly agrees quantitatively with the Ikeda map and predicts complex phenomena such as super cavity solitons and coexistence of multiple nonlinear states.

References in corpus (7)

• Temporal solitons in optical microresonators
• Microresonator solitons for massively parallel coherent optical communications
• Modeling of octave-spanning Kerr frequency combs using a generalized mean-field Lugiato-Lefever model
• Frequency comb generation beyond the Lugiato-Lefever equation: multi-stability and super cavity solitons
• Competing Turing and Faraday instabilities in longitudinally modulated passive resonators
• Modulational instability in dispersion oscillating fiber ring cavities
• Multistability and coexisting soliton combs in ring resonators: the Lugiato-Lefever approach

Cited by in corpus (7)

• Coupled-mode theory for microresonators with quadratic nonlinearity
• Theory of filter-induced modulation instability in driven passive optical resonators
• Cavity solitons in a microring dimer with gain and loss
• Nonlinear frequency response of the multi-resonant ring cavities
• Stationary States and Instabilities of a Mobius Fibre Resonator
• Modeling of quasi-phase-matched cavity enhanced second harmonic generation
• Normal dispersion Kerr cavity solitons: beyond the mean field limit