A hierarchy of coupled mode and envelope models for bi-directional microresonators with Kerr nonlinearity
arXiv:2005.00677 · doi:10.1364/OSAC.392211
Abstract
We consider interaction of counter-propagating waves in a bi-directionally pumped ring microresonator with Kerr nonlinearity. We introduce a hierarchy of the mode expansions and envelope functions evolving on different time scales set by the cavity linewidth and nonlinearity, dispersion, and repetition rate, and provide a detailed derivation of the corresponding hierarchy of the coupled mode and of the Lugiato-Lefever-like equations. An effect of the washout of the repetition rate frequencies from the equations governing dynamics of the counter-propagating waves is elaborated in details.
arXiv commentto appear in OSA Continuum
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- Analysis of parameter combinations for optimal soliton microcomb generation efficiency in a simple single-cavity scheme
- Carrier-resolved real-field theory of multi-octave frequency combs
- Controlling microresonator solitons with the counter-propagating pump
- Frequency combs with multiple offsets in THz-rate microresonators